%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP759+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:07 AM UTC 2026
% Result : Unsatisfiable 30.71s 5.18s
% Output : Refutation 31.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 60
% Syntax : Number of formulae : 1234 ( 65 unt; 51 def)
% Number of atoms : 5524 (1372 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 6843 (2553 ~;4239 |; 0 &)
% ( 51 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 53 ( 51 usr; 52 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(X0,i(X0)) = e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : mult(X0,e) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1,X2] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
mult(op_a,op_b) != mult(op_b,op_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] :
( X0 = c1
| X0 = c2
| X0 = c3
| X0 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
fof(f7,axiom,
c1 != c3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_not_c3) ).
fof(f8,axiom,
c1 != c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_not_c4) ).
fof(f10,axiom,
c2 != c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_not_c4) ).
fof(f11,axiom,
c3 != c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_not_c4) ).
fof(f12,plain,
! [X0] : mult(X0,i(X0)) = e,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : mult(X0,e) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
mult(op_a,op_b) != mult(op_b,op_a),
inference(cnf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0] :
( c4 = X0
| c2 = X0
| c3 = X0
| c1 = X0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
c1 != c3,
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
c1 != c4,
inference(cnf_transformation,[],[f8]) ).
fof(f21,plain,
c2 != c4,
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
c3 != c4,
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = mult(e,X1),
inference(superposition,[],[f14,f12]) ).
fof(f26,plain,
! [X0,X1] : e = mult(X0,mult(X1,i(mult(X0,X1)))),
inference(superposition,[],[f12,f14]) ).
fof(f30,plain,
! [X0] :
( e = mult(X0,c4)
| i(X0) = c2
| i(X0) = c3
| i(X0) = c1 ),
inference(superposition,[],[f12,f16]) ).
fof(f43,plain,
( mult(op_a,op_b) != c4
| mult(op_b,op_a) = c2
| mult(op_b,op_a) = c3
| mult(op_b,op_a) = c1 ),
inference(superposition,[],[f15,f16]) ).
fof(f45,definition,
( spl0_1
<=> mult(op_b,op_a) = c1 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( mult(op_b,op_a) != c1
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( mult(op_b,op_a) = c1
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl0_2
<=> mult(op_b,op_a) = c3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( mult(op_b,op_a) != c3
| spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( mult(op_b,op_a) = c3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl0_3
<=> mult(op_b,op_a) = c2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f54,plain,
( mult(op_b,op_a) != c2
| spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( mult(op_b,op_a) = c2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl0_4
<=> mult(op_a,op_b) = c4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f58,plain,
( mult(op_a,op_b) = c4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( mult(op_a,op_b) != c4
| spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f43,f57,f53,f49,f45]) ).
fof(f62,plain,
! [X0] : mult(X0,e) = mult(e,i(i(X0))),
inference(superposition,[],[f23,f12]) ).
fof(f71,plain,
! [X0] : mult(e,i(i(X0))) = X0,
inference(forward_demodulation,[],[f62,f13]) ).
fof(f77,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(e,X1)),
inference(superposition,[],[f14,f13]) ).
fof(f93,plain,
! [X0,X1] :
( e = mult(X0,c4)
| c2 = mult(X1,i(mult(X0,X1)))
| c3 = mult(X1,i(mult(X0,X1)))
| c1 = mult(X1,i(mult(X0,X1))) ),
inference(superposition,[],[f26,f16]) ).
fof(f136,definition,
( spl0_6
<=> e = c4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f137,plain,
( e != c4
| spl0_6 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( e = c4
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f158,definition,
( spl0_8
<=> e = c3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f159,plain,
( e != c3
| spl0_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( e = c3
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f163,definition,
( spl0_9
<=> e = c2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f164,plain,
( e != c2
| spl0_9 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f165,plain,
( e = c2
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f170,definition,
( spl0_11
<=> e = c1 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f171,plain,
( e != c1
| spl0_11 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
( e = c1
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f175,plain,
( ! [X0] :
( c3 = X0
| c2 = X0
| e = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(backward_demodulation,[],[f16,f138]) ).
fof(f176,plain,
( e != c1
| ~ spl0_6 ),
inference(backward_demodulation,[],[f19,f138]) ).
fof(f178,plain,
( e != c3
| ~ spl0_6 ),
inference(backward_demodulation,[],[f22,f138]) ).
fof(f181,plain,
( e != mult(op_a,op_b)
| spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f59,f138]) ).
fof(f196,plain,
( ~ spl0_8
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f178,f136,f158]) ).
fof(f198,plain,
( ~ spl0_11
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f176,f136,f170]) ).
fof(f199,plain,
! [X0] : mult(X0,e) = mult(X0,i(e)),
inference(superposition,[],[f77,f12]) ).
fof(f218,plain,
! [X0] : mult(X0,i(e)) = X0,
inference(forward_demodulation,[],[f199,f13]) ).
fof(f297,plain,
( mult(op_a,op_b) != c3
| mult(op_b,op_a) = c2
| e = mult(op_b,op_a)
| mult(op_b,op_a) = c1
| ~ spl0_6 ),
inference(superposition,[],[f15,f175]) ).
fof(f303,definition,
( spl0_12
<=> e = mult(op_b,op_a) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f304,plain,
( e != mult(op_b,op_a)
| spl0_12 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f305,plain,
( e = mult(op_b,op_a)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl0_13
<=> mult(op_a,op_b) = c3 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f308,plain,
( mult(op_a,op_b) = c3
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( mult(op_a,op_b) != c3
| spl0_13 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( spl0_1
| spl0_12
| spl0_3
| ~ spl0_13
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f297,f136,f307,f53,f303,f45]) ).
fof(f329,definition,
( spl0_17
<=> e = i(e) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f331,plain,
( e = i(e)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f540,plain,
! [X0,X1] : mult(X1,X0) = mult(X1,i(i(X0))),
inference(superposition,[],[f77,f71]) ).
fof(f544,plain,
! [X0] : mult(e,X0) = X0,
inference(backward_demodulation,[],[f71,f540]) ).
fof(f547,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(backward_demodulation,[],[f23,f544]) ).
fof(f597,plain,
e = i(e),
inference(superposition,[],[f218,f544]) ).
fof(f603,plain,
spl0_17,
inference(avatar_split_clause,[],[f597,f329]) ).
fof(f626,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f160]) ).
fof(f649,plain,
! [X0] : mult(X0,e) = i(i(X0)),
inference(superposition,[],[f547,f12]) ).
fof(f668,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f649,f13]) ).
fof(f673,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(superposition,[],[f547,f668]) ).
fof(f674,plain,
! [X0] : e = mult(i(X0),X0),
inference(superposition,[],[f12,f668]) ).
fof(f712,plain,
( c4 != c4
| e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| mult(op_a,op_b) = c1
| spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f59,f626]) ).
fof(f713,plain,
( e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| mult(op_a,op_b) = c1
| spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f712]) ).
fof(f716,definition,
( spl0_20
<=> mult(op_a,op_b) = c1 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f717,plain,
( mult(op_a,op_b) != c1
| spl0_20 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f718,plain,
( mult(op_a,op_b) = c1
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f720,definition,
( spl0_21
<=> mult(op_a,op_b) = c2 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f721,plain,
( mult(op_a,op_b) != c2
| spl0_21 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f722,plain,
( mult(op_a,op_b) = c2
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f726,definition,
( spl0_22
<=> e = mult(op_a,op_b) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f727,plain,
( e != mult(op_a,op_b)
| spl0_22 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f728,plain,
( e = mult(op_a,op_b)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f713,f158,f57,f726,f720,f716]) ).
fof(f734,plain,
( ~ spl0_22
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f181,f136,f57,f726]) ).
fof(f735,plain,
( e != mult(op_a,op_b)
| ~ spl0_12 ),
inference(backward_demodulation,[],[f15,f305]) ).
fof(f803,plain,
( ! [X0] : mult(e,X0) = mult(op_b,mult(op_a,X0))
| ~ spl0_12 ),
inference(superposition,[],[f14,f305]) ).
fof(f804,plain,
( ! [X0] : mult(op_b,mult(op_a,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f803,f544]) ).
fof(f807,plain,
( i(op_a) = mult(op_b,e)
| ~ spl0_12 ),
inference(superposition,[],[f804,f12]) ).
fof(f823,plain,
( op_b = i(op_a)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f807,f13]) ).
fof(f831,plain,
( e = mult(op_a,op_b)
| ~ spl0_12 ),
inference(superposition,[],[f12,f823]) ).
fof(f832,plain,
( spl0_22
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f831,f303,f726]) ).
fof(f879,plain,
( ! [X0] :
( e = mult(X0,e)
| i(X0) = c2
| i(X0) = c3
| i(X0) = c1 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f30,f138]) ).
fof(f892,plain,
( ! [X0] :
( i(X0) = c3
| i(X0) = c2
| e = X0
| i(X0) = c1 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f879,f13]) ).
fof(f904,plain,
( $false
| ~ spl0_12
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f735,f728]) ).
fof(f905,plain,
( ~ spl0_12
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f909,plain,
( e != c1
| ~ spl0_1
| spl0_12 ),
inference(backward_demodulation,[],[f304,f47]) ).
fof(f916,plain,
( ! [X0] : mult(e,X0) = mult(op_a,mult(op_b,X0))
| ~ spl0_22 ),
inference(superposition,[],[f14,f728]) ).
fof(f917,plain,
( ! [X0] : mult(op_a,mult(op_b,X0)) = X0
| ~ spl0_22 ),
inference(forward_demodulation,[],[f916,f544]) ).
fof(f958,plain,
( ! [X0] :
( i(X0) = e
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f892,f668]) ).
fof(f983,definition,
( spl0_24
<=> e = i(c3) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f984,plain,
( e = i(c3)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f985,plain,
( e != i(c3)
| spl0_24 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f988,definition,
( spl0_25
<=> c1 = i(c3) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f989,plain,
( c1 != i(c3)
| spl0_25 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f990,plain,
( c1 = i(c3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f992,definition,
( spl0_26
<=> c2 = i(c3) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f993,plain,
( c2 != i(c3)
| spl0_26 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f994,plain,
( c2 = i(c3)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f1008,plain,
( c3 = i(c2)
| ~ spl0_26 ),
inference(superposition,[],[f668,f994]) ).
fof(f1019,plain,
( ! [X0,X1] :
( mult(X0,mult(e,X1)) = X1
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f547,f958]) ).
fof(f1024,plain,
( ! [X0,X1] :
( mult(X0,X1) = X1
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1019,f544]) ).
fof(f1032,plain,
( op_a = c1
| op_b = c2
| op_b = c3
| op_b = c1
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1024,f47]) ).
fof(f1046,definition,
( spl0_28
<=> op_b = c1 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1047,plain,
( op_b != c1
| spl0_28 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1048,plain,
( op_b = c1
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1050,definition,
( spl0_29
<=> op_b = c3 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1051,plain,
( op_b != c3
| spl0_29 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1052,plain,
( op_b = c3
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1054,definition,
( spl0_30
<=> op_b = c2 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1055,plain,
( op_b != c2
| spl0_30 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1056,plain,
( op_b = c2
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1058,definition,
( spl0_31
<=> op_a = c1 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f1059,plain,
( op_a != c1
| spl0_31 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1060,plain,
( op_a = c1
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1063,definition,
( spl0_32
<=> op_a = c3 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f1064,plain,
( op_a != c3
| spl0_32 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1065,plain,
( op_a = c3
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1067,definition,
( spl0_33
<=> op_a = c2 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f1068,plain,
( op_a != c2
| spl0_33 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1069,plain,
( op_a = c2
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1071,definition,
( spl0_34
<=> e = op_b ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f1072,plain,
( e != op_b
| spl0_34 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1073,plain,
( e = op_b
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1076,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1032,f136,f45,f1058,f1054,f1050,f1046]) ).
fof(f1207,plain,
( op_a != c3
| ~ spl0_31 ),
inference(backward_demodulation,[],[f18,f1060]) ).
fof(f1208,plain,
( e != op_a
| spl0_11
| ~ spl0_31 ),
inference(backward_demodulation,[],[f171,f1060]) ).
fof(f1209,plain,
( op_a = mult(op_b,op_a)
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f47,f1060]) ).
fof(f1245,plain,
( ~ spl0_32
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1207,f1058,f1063]) ).
fof(f1276,plain,
( mult(op_a,e) = i(op_b)
| ~ spl0_22 ),
inference(superposition,[],[f917,f12]) ).
fof(f1356,plain,
( op_a = i(op_b)
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1276,f13]) ).
fof(f1379,plain,
( e = mult(op_b,op_a)
| ~ spl0_22 ),
inference(superposition,[],[f12,f1356]) ).
fof(f1380,plain,
( spl0_12
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1379,f726,f303]) ).
fof(f1413,plain,
( e != op_a
| ~ spl0_8
| spl0_32 ),
inference(backward_demodulation,[],[f1064,f160]) ).
fof(f1420,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f160]) ).
fof(f1475,plain,
! [X0,X1] : mult(X1,i(mult(X0,X1))) = mult(i(X0),e),
inference(superposition,[],[f673,f26]) ).
fof(f1480,plain,
( op_b = mult(i(op_a),c4)
| ~ spl0_4 ),
inference(superposition,[],[f673,f58]) ).
fof(f1491,plain,
! [X0,X1] : i(X0) = mult(X1,i(mult(X0,X1))),
inference(forward_demodulation,[],[f1475,f13]) ).
fof(f1505,plain,
( i(op_a) = mult(op_b,i(c4))
| ~ spl0_4 ),
inference(superposition,[],[f1491,f58]) ).
fof(f1506,plain,
( mult(op_a,i(op_a)) = i(op_b)
| ~ spl0_1
| ~ spl0_31 ),
inference(superposition,[],[f1491,f1209]) ).
fof(f1511,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,i(X0)),
inference(superposition,[],[f547,f1491]) ).
fof(f1516,plain,
( e = i(op_b)
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1506,f12]) ).
fof(f1528,plain,
( op_b = i(e)
| ~ spl0_1
| ~ spl0_31 ),
inference(superposition,[],[f668,f1516]) ).
fof(f1533,plain,
( e = op_b
| ~ spl0_1
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1528,f331]) ).
fof(f1539,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| ~ spl0_31
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f1533,f1072]) ).
fof(f1540,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_31
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1554,plain,
( op_a != mult(op_b,op_a)
| spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f46,f1060]) ).
fof(f1561,plain,
( ~ spl0_11
| ~ spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f909,f303,f45,f170]) ).
fof(f1578,plain,
( op_a = mult(i(op_b),c1)
| ~ spl0_1 ),
inference(superposition,[],[f673,f47]) ).
fof(f1666,plain,
( op_b = mult(c4,c4)
| e = i(op_a)
| c2 = i(op_a)
| c1 = i(op_a)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f1480,f1420]) ).
fof(f1670,plain,
( i(i(op_a)) = mult(c4,i(op_b))
| ~ spl0_4 ),
inference(superposition,[],[f1491,f1480]) ).
fof(f1674,plain,
( op_a = mult(c4,i(op_b))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1670,f668]) ).
fof(f1677,definition,
( spl0_35
<=> c1 = i(op_a) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1678,plain,
( c1 != i(op_a)
| spl0_35 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1679,plain,
( c1 = i(op_a)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1681,definition,
( spl0_36
<=> c2 = i(op_a) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f1682,plain,
( c2 != i(op_a)
| spl0_36 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1683,plain,
( c2 = i(op_a)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1685,definition,
( spl0_37
<=> e = i(op_a) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f1686,plain,
( e != i(op_a)
| spl0_37 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1687,plain,
( e = i(op_a)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1689,definition,
( spl0_38
<=> op_b = mult(c4,c4) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f1691,plain,
( op_b = mult(c4,c4)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1692,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_38
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1666,f158,f57,f1689,f1685,f1681,f1677]) ).
fof(f1698,definition,
( spl0_39
<=> op_b = c4 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1699,plain,
( op_b != c4
| spl0_39 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1700,plain,
( op_b = c4
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1704,plain,
( c1 = mult(op_b,i(c4))
| ~ spl0_4
| ~ spl0_35 ),
inference(backward_demodulation,[],[f1505,f1679]) ).
fof(f1706,plain,
( op_b != c1
| ~ spl0_39 ),
inference(backward_demodulation,[],[f19,f1700]) ).
fof(f1730,plain,
( ~ spl0_28
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1706,f1698,f1046]) ).
fof(f1739,plain,
( op_a != op_b
| ~ spl0_28
| spl0_31 ),
inference(backward_demodulation,[],[f1059,f1048]) ).
fof(f1743,plain,
( op_a = mult(i(op_b),op_b)
| ~ spl0_1
| ~ spl0_28 ),
inference(backward_demodulation,[],[f1578,f1048]) ).
fof(f1766,plain,
( e = op_a
| ~ spl0_1
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1743,f674]) ).
fof(f1771,plain,
( e = op_a
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1065,f160]) ).
fof(f1858,plain,
( op_a = i(c1)
| ~ spl0_35 ),
inference(superposition,[],[f668,f1679]) ).
fof(f1880,plain,
( i(op_b) = mult(i(c4),op_a)
| ~ spl0_4 ),
inference(superposition,[],[f673,f1674]) ).
fof(f1894,plain,
( i(c4) = mult(i(op_b),c1)
| ~ spl0_4
| ~ spl0_35 ),
inference(superposition,[],[f673,f1704]) ).
fof(f1896,plain,
( op_a = i(c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1894,f1578]) ).
fof(f1908,plain,
( c4 = i(op_a)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_35 ),
inference(superposition,[],[f668,f1896]) ).
fof(f1911,plain,
( c1 = c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1908,f1679]) ).
fof(f1913,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1911,f19]) ).
fof(f1914,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1913]) ).
fof(f1917,plain,
( i(c4) = mult(c4,i(op_b))
| ~ spl0_38 ),
inference(superposition,[],[f1491,f1691]) ).
fof(f1920,plain,
( op_a = i(c4)
| ~ spl0_4
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1917,f1674]) ).
fof(f1921,plain,
( mult(op_b,op_a) = i(op_a)
| ~ spl0_4
| ~ spl0_38 ),
inference(backward_demodulation,[],[f1505,f1920]) ).
fof(f1928,plain,
( c1 = i(op_a)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1921,f47]) ).
fof(f1929,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_35
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1928,f1678]) ).
fof(f1930,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_35
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1931,plain,
( op_b = i(op_a)
| ~ spl0_30
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1683,f1056]) ).
fof(f1941,plain,
( e = mult(op_a,op_b)
| ~ spl0_30
| ~ spl0_36 ),
inference(superposition,[],[f12,f1931]) ).
fof(f1942,plain,
( spl0_22
| ~ spl0_30
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1941,f1681,f1054,f726]) ).
fof(f1956,plain,
( op_b != i(op_a)
| ~ spl0_30
| spl0_36 ),
inference(forward_demodulation,[],[f1682,f1056]) ).
fof(f1985,plain,
( e = op_b
| ~ spl0_8
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1052,f160]) ).
fof(f2055,plain,
! [X0,X1] :
( i(X0) = c2
| e = mult(X0,c4)
| c3 = mult(X1,i(mult(X0,X1)))
| c1 = mult(X1,i(mult(X0,X1))) ),
inference(forward_demodulation,[],[f93,f1491]) ).
fof(f2059,plain,
! [X0,X1] :
( i(X0) = c3
| i(X0) = c2
| e = mult(X0,c4)
| c1 = mult(X1,i(mult(X0,X1))) ),
inference(forward_demodulation,[],[f2055,f1491]) ).
fof(f2060,plain,
! [X0] :
( i(X0) = c1
| i(X0) = c3
| i(X0) = c2
| e = mult(X0,c4) ),
inference(forward_demodulation,[],[f2059,f1491]) ).
fof(f2067,plain,
! [X0] :
( c4 = X0
| c2 = i(i(X0))
| c3 = i(i(X0))
| c1 = i(i(X0)) ),
inference(superposition,[],[f668,f16]) ).
fof(f2070,plain,
( e = c4
| c2 = i(e)
| c3 = i(e)
| c1 = i(e)
| ~ spl0_17 ),
inference(superposition,[],[f331,f16]) ).
fof(f2112,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_9 ),
inference(backward_demodulation,[],[f16,f165]) ).
fof(f2122,plain,
( e != op_a
| ~ spl0_9
| spl0_33 ),
inference(backward_demodulation,[],[f1068,f165]) ).
fof(f2142,plain,
( e = op_b
| ~ spl0_9
| spl0_28
| spl0_29
| spl0_39 ),
inference(unit_resulting_resolution,[],[f2112,f1047,f1051,f1699]) ).
fof(f2171,plain,
( op_a = c4
| e = mult(c4,i(op_b))
| c3 = mult(c4,i(op_b))
| c1 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f1674,f2112]) ).
fof(f2175,plain,
( e = op_a
| op_a = c4
| c3 = mult(c4,i(op_b))
| c1 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2171,f1674]) ).
fof(f2182,plain,
( $false
| ~ spl0_9
| spl0_28
| spl0_29
| spl0_34
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f2142,f1072]) ).
fof(f2183,plain,
( ~ spl0_9
| spl0_28
| spl0_29
| spl0_34
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2184,plain,
( op_a = c4
| c3 = mult(c4,i(op_b))
| c1 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_9
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2175,f2122]) ).
fof(f2191,plain,
( op_a = c3
| op_a = c4
| c1 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_9
| spl0_33 ),
inference(forward_demodulation,[],[f2184,f1674]) ).
fof(f2198,plain,
( op_a = c4
| c1 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_9
| spl0_32
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2191,f1064]) ).
fof(f2199,plain,
( op_a = c1
| op_a = c4
| ~ spl0_4
| ~ spl0_9
| spl0_32
| spl0_33 ),
inference(forward_demodulation,[],[f2198,f1674]) ).
fof(f2200,plain,
( op_a = c4
| ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2199,f1059]) ).
fof(f2206,plain,
( op_b = mult(i(op_a),op_a)
| ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33 ),
inference(backward_demodulation,[],[f1480,f2200]) ).
fof(f2223,plain,
( e = op_b
| ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_demodulation,[],[f2206,f674]) ).
fof(f2231,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f2223,f1072]) ).
fof(f2232,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f2231]) ).
fof(f2242,plain,
( op_a != op_b
| ~ spl0_29
| spl0_32 ),
inference(backward_demodulation,[],[f1064,f1052]) ).
fof(f2247,plain,
( e = op_a
| ~ spl0_9
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1069,f165]) ).
fof(f2355,plain,
( e != op_a
| spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f159,f1065]) ).
fof(f2372,plain,
( i(op_a) = mult(op_b,i(op_b))
| ~ spl0_4
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1505,f1700]) ).
fof(f2388,plain,
( e = i(op_a)
| ~ spl0_4
| ~ spl0_39 ),
inference(forward_demodulation,[],[f2372,f12]) ).
fof(f2392,plain,
( $false
| ~ spl0_4
| spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2388,f1686]) ).
fof(f2393,plain,
( ~ spl0_4
| spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2392]) ).
fof(f2492,plain,
( op_a = mult(op_b,op_a)
| ~ spl0_3
| ~ spl0_33 ),
inference(backward_demodulation,[],[f55,f1069]) ).
fof(f2494,plain,
( op_a != i(c3)
| spl0_26
| ~ spl0_33 ),
inference(backward_demodulation,[],[f993,f1069]) ).
fof(f2495,plain,
( op_a != i(op_a)
| ~ spl0_33
| spl0_36 ),
inference(backward_demodulation,[],[f1682,f1069]) ).
fof(f2499,plain,
( e != op_a
| ~ spl0_11
| spl0_31 ),
inference(forward_demodulation,[],[f1059,f172]) ).
fof(f2566,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c2 = X0
| c3 = X0 )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f16,f172]) ).
fof(f2583,plain,
( op_a != mult(op_b,op_a)
| spl0_2
| ~ spl0_32 ),
inference(forward_demodulation,[],[f50,f1065]) ).
fof(f2631,plain,
( mult(op_a,i(op_a)) = i(op_b)
| ~ spl0_3
| ~ spl0_33 ),
inference(superposition,[],[f1491,f2492]) ).
fof(f2634,plain,
( e = i(op_b)
| ~ spl0_3
| ~ spl0_33 ),
inference(forward_demodulation,[],[f2631,f12]) ).
fof(f2653,plain,
( op_a != mult(op_b,op_a)
| spl0_3
| ~ spl0_33 ),
inference(forward_demodulation,[],[f54,f1069]) ).
fof(f2654,plain,
( e != c3
| ~ spl0_2
| spl0_12 ),
inference(forward_demodulation,[],[f304,f51]) ).
fof(f2658,plain,
( i(op_b) = mult(op_a,i(c3))
| ~ spl0_2 ),
inference(superposition,[],[f1491,f51]) ).
fof(f2659,plain,
( op_a = mult(i(op_b),c3)
| ~ spl0_2 ),
inference(superposition,[],[f673,f51]) ).
fof(f2749,plain,
( op_a = mult(i(op_b),op_b)
| ~ spl0_2
| ~ spl0_29 ),
inference(backward_demodulation,[],[f2659,f1052]) ).
fof(f2755,plain,
( e = op_a
| ~ spl0_2
| ~ spl0_29 ),
inference(forward_demodulation,[],[f2749,f674]) ).
fof(f2759,plain,
( op_a = op_b
| ~ spl0_30
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1056,f1069]) ).
fof(f2763,plain,
( c3 = mult(op_a,op_a)
| ~ spl0_2
| ~ spl0_30
| ~ spl0_33 ),
inference(backward_demodulation,[],[f51,f2759]) ).
fof(f2764,plain,
( c4 = mult(op_a,op_a)
| ~ spl0_4
| ~ spl0_30
| ~ spl0_33 ),
inference(backward_demodulation,[],[f58,f2759]) ).
fof(f2786,plain,
( c3 = c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_30
| ~ spl0_33 ),
inference(backward_demodulation,[],[f2764,f2763]) ).
fof(f2792,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_30
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2786,f22]) ).
fof(f2793,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_30
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f2792]) ).
fof(f2850,plain,
( op_a = c4
| e = mult(c4,i(op_b))
| c2 = mult(c4,i(op_b))
| c3 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f1674,f2566]) ).
fof(f2856,plain,
( e = op_a
| op_a = c4
| c2 = mult(c4,i(op_b))
| c3 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2850,f1674]) ).
fof(f2857,plain,
( op_a = c4
| c2 = mult(c4,i(op_b))
| c3 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_11
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f2856,f2499]) ).
fof(f2858,plain,
( op_a = c2
| op_a = c4
| c3 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_11
| spl0_31 ),
inference(forward_demodulation,[],[f2857,f1674]) ).
fof(f2859,plain,
( op_a = c4
| c3 = mult(c4,i(op_b))
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2858,f1068]) ).
fof(f2860,plain,
( op_a = c3
| op_a = c4
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_33 ),
inference(forward_demodulation,[],[f2859,f1674]) ).
fof(f2861,plain,
( op_a = c4
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2860,f1064]) ).
fof(f2867,plain,
( op_b = mult(i(op_a),op_a)
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(backward_demodulation,[],[f1480,f2861]) ).
fof(f2873,plain,
( i(op_b) = mult(i(op_a),op_a)
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(backward_demodulation,[],[f1880,f2861]) ).
fof(f2882,plain,
( e = i(op_b)
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_demodulation,[],[f2873,f674]) ).
fof(f2884,plain,
( e = op_b
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_demodulation,[],[f2867,f674]) ).
fof(f2888,plain,
( op_a = mult(e,c3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(backward_demodulation,[],[f2659,f2882]) ).
fof(f2892,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f2884,f1072]) ).
fof(f2893,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f2892]) ).
fof(f2894,plain,
( op_a = c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_demodulation,[],[f2888,f544]) ).
fof(f2898,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2894,f1064]) ).
fof(f2899,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f2898]) ).
fof(f2900,plain,
( e = op_a
| ~ spl0_11
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1060,f172]) ).
fof(f2916,plain,
( e != i(e)
| ~ spl0_11
| ~ spl0_31
| spl0_37 ),
inference(backward_demodulation,[],[f1686,f2900]) ).
fof(f2929,plain,
( $false
| ~ spl0_11
| ~ spl0_17
| ~ spl0_31
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f2916,f331]) ).
fof(f2930,plain,
( ~ spl0_11
| ~ spl0_17
| ~ spl0_31
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f2929]) ).
fof(f2970,plain,
( mult(op_a,i(op_a)) = i(op_b)
| ~ spl0_2
| ~ spl0_32 ),
inference(forward_demodulation,[],[f2658,f1065]) ).
fof(f2982,plain,
( e = i(op_b)
| ~ spl0_2
| ~ spl0_32 ),
inference(forward_demodulation,[],[f2970,f12]) ).
fof(f3011,plain,
( e != c2
| ~ spl0_3
| spl0_12 ),
inference(forward_demodulation,[],[f304,f55]) ).
fof(f3020,plain,
( op_a = mult(i(op_b),c2)
| ~ spl0_3 ),
inference(superposition,[],[f673,f55]) ).
fof(f3149,plain,
( op_a = mult(i(op_b),op_b)
| ~ spl0_3
| ~ spl0_30 ),
inference(forward_demodulation,[],[f3020,f1056]) ).
fof(f3156,plain,
( e = op_a
| ~ spl0_3
| ~ spl0_30 ),
inference(forward_demodulation,[],[f3149,f674]) ).
fof(f3158,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_30
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f3156,f2499]) ).
fof(f3159,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_30
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f3158]) ).
fof(f3180,plain,
( c2 != i(op_b)
| spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f993,f1052]) ).
fof(f3182,plain,
( op_b != mult(op_b,op_a)
| spl0_2
| ~ spl0_29 ),
inference(forward_demodulation,[],[f50,f1052]) ).
fof(f3206,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f3011,f165]) ).
fof(f3207,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3206]) ).
fof(f3267,plain,
( op_a = op_b
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1048,f1060]) ).
fof(f3289,plain,
( c3 = mult(op_a,op_a)
| ~ spl0_2
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[],[f51,f3267]) ).
fof(f3290,plain,
( c4 = mult(op_a,op_a)
| ~ spl0_4
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[],[f58,f3267]) ).
fof(f3305,plain,
( c3 = c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[],[f3290,f3289]) ).
fof(f3308,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3305,f22]) ).
fof(f3309,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_28
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f3308]) ).
fof(f3324,plain,
( op_b != i(op_a)
| ~ spl0_28
| spl0_35 ),
inference(backward_demodulation,[],[f1678,f1048]) ).
fof(f3328,plain,
( mult(op_b,op_a) = i(op_a)
| ~ spl0_4
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1505,f1920]) ).
fof(f3352,plain,
( c2 = i(op_a)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_38 ),
inference(forward_demodulation,[],[f3328,f55]) ).
fof(f3367,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_36
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f3352,f1682]) ).
fof(f3368,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_36
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f3367]) ).
fof(f3391,plain,
( op_a = mult(i(op_b),c2)
| ~ spl0_3 ),
inference(superposition,[],[f673,f55]) ).
fof(f3395,plain,
( op_a = i(c2)
| ~ spl0_36 ),
inference(superposition,[],[f668,f1683]) ).
fof(f3419,plain,
( c2 = mult(op_b,i(c4))
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1505,f1683]) ).
fof(f3452,plain,
( i(c4) = mult(i(op_b),c2)
| ~ spl0_4
| ~ spl0_36 ),
inference(superposition,[],[f673,f3419]) ).
fof(f3454,plain,
( op_a = i(c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3452,f3391]) ).
fof(f3465,plain,
( c4 = i(op_a)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_36 ),
inference(superposition,[],[f668,f3454]) ).
fof(f3468,plain,
( c2 = c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3465,f1683]) ).
fof(f3470,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3468,f21]) ).
fof(f3471,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3470]) ).
fof(f3474,plain,
( op_a = i(op_b)
| ~ spl0_28
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1858,f1048]) ).
fof(f3493,plain,
( e = mult(op_b,op_a)
| ~ spl0_28
| ~ spl0_35 ),
inference(superposition,[],[f12,f3474]) ).
fof(f3494,plain,
( spl0_12
| ~ spl0_28
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f3493,f1677,f1046,f303]) ).
fof(f3532,plain,
( op_a = mult(i(op_b),op_b)
| ~ spl0_3
| ~ spl0_30 ),
inference(forward_demodulation,[],[f3391,f1056]) ).
fof(f3539,plain,
( e = op_a
| ~ spl0_3
| ~ spl0_30 ),
inference(forward_demodulation,[],[f3532,f674]) ).
fof(f3542,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_30
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f3539,f1413]) ).
fof(f3543,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_30
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f3542]) ).
fof(f3545,plain,
( spl0_34
| ~ spl0_8
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1985,f1050,f158,f1071]) ).
fof(f3611,plain,
( ~ spl0_8
| ~ spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f2654,f303,f49,f158]) ).
fof(f3627,plain,
( e = op_b
| ~ spl0_9
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1056,f165]) ).
fof(f3700,plain,
( mult(op_a,e) != mult(e,op_a)
| ~ spl0_34 ),
inference(forward_demodulation,[],[f15,f1073]) ).
fof(f3701,plain,
( op_a != mult(op_a,op_b)
| spl0_13
| ~ spl0_32 ),
inference(forward_demodulation,[],[f309,f1065]) ).
fof(f3710,plain,
( ! [X0] :
( e = X0
| c4 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f16,f165]) ).
fof(f3721,plain,
( op_a != mult(op_a,e)
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3700,f544]) ).
fof(f3733,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f3721,f13]) ).
fof(f3734,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f3733]) ).
fof(f3770,plain,
( op_b != mult(op_b,op_a)
| spl0_1
| ~ spl0_28 ),
inference(forward_demodulation,[],[f46,f1048]) ).
fof(f3771,plain,
( $false
| ~ spl0_9
| ~ spl0_30
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f3627,f1072]) ).
fof(f3772,plain,
( ~ spl0_9
| ~ spl0_30
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f3771]) ).
fof(f3788,plain,
( op_b = i(e)
| ~ spl0_2
| ~ spl0_32 ),
inference(superposition,[],[f668,f2982]) ).
fof(f3793,plain,
( e = op_b
| ~ spl0_2
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f3788,f331]) ).
fof(f3798,plain,
( $false
| ~ spl0_2
| ~ spl0_17
| ~ spl0_32
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f3793,f1072]) ).
fof(f3799,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_32
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f3798]) ).
fof(f3803,plain,
( ! [X0] :
( c4 = X0
| e = X0
| op_b = X0
| c3 = X0 )
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_demodulation,[],[f3710,f1048]) ).
fof(f3812,plain,
( mult(op_a,op_b) != c3
| ~ spl0_2 ),
inference(forward_demodulation,[],[f15,f51]) ).
fof(f3844,plain,
( c4 != c4
| e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| mult(op_a,op_b) = c3
| spl0_4
| ~ spl0_9
| ~ spl0_28 ),
inference(superposition,[],[f59,f3803]) ).
fof(f3849,plain,
( e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| mult(op_a,op_b) = c3
| spl0_4
| ~ spl0_9
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f3844]) ).
fof(f3850,plain,
( op_b = mult(op_a,op_b)
| mult(op_a,op_b) = c3
| spl0_4
| ~ spl0_9
| spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f3849,f727]) ).
fof(f3857,plain,
( op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f3850,f309]) ).
fof(f3874,plain,
( i(op_a) = mult(op_b,i(op_b))
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_28 ),
inference(superposition,[],[f1491,f3857]) ).
fof(f3877,plain,
( e = i(op_a)
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_28 ),
inference(forward_demodulation,[],[f3874,f12]) ).
fof(f3880,plain,
( $false
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f3812,f308]) ).
fof(f3881,plain,
( ~ spl0_2
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3884,plain,
( spl0_37
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f3877,f1046,f726,f307,f163,f57,f1685]) ).
fof(f3909,plain,
( mult(op_b,i(c3)) = i(op_a)
| ~ spl0_13 ),
inference(superposition,[],[f1491,f308]) ).
fof(f3910,plain,
( op_b = mult(i(op_a),c3)
| ~ spl0_13 ),
inference(superposition,[],[f673,f308]) ).
fof(f3999,plain,
! [X0] :
( c2 = X0
| c4 = X0
| c3 = i(i(X0))
| c1 = i(i(X0)) ),
inference(forward_demodulation,[],[f2067,f668]) ).
fof(f4042,plain,
( op_b = mult(c4,c3)
| e = i(op_a)
| op_b = i(op_a)
| c3 = i(op_a)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28 ),
inference(superposition,[],[f3910,f3803]) ).
fof(f4045,plain,
( i(i(op_a)) = mult(c3,i(op_b))
| ~ spl0_13 ),
inference(superposition,[],[f1491,f3910]) ).
fof(f4049,plain,
( op_a = mult(c3,i(op_b))
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4045,f668]) ).
fof(f4050,plain,
( op_b = mult(c4,c3)
| op_b = i(op_a)
| c3 = i(op_a)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f4042,f1686]) ).
fof(f4051,plain,
( op_b = mult(c4,c3)
| c3 = i(op_a)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_35
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f4050,f3324]) ).
fof(f4053,definition,
( spl0_40
<=> c3 = i(op_a) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f4054,plain,
( c3 != i(op_a)
| spl0_40 ),
inference(avatar_component_clause,[],[f4053]) ).
fof(f4055,plain,
( c3 = i(op_a)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f4053]) ).
fof(f4057,definition,
( spl0_41
<=> op_b = mult(c4,c3) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f4059,plain,
( op_b = mult(c4,c3)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f4057]) ).
fof(f4060,plain,
( spl0_40
| spl0_41
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_35
| spl0_37 ),
inference(avatar_split_clause,[],[f4051,f1685,f1677,f1046,f307,f163,f4057,f4053]) ).
fof(f4062,plain,
( c3 = mult(op_b,i(c3))
| ~ spl0_13
| ~ spl0_40 ),
inference(backward_demodulation,[],[f3909,f4055]) ).
fof(f4069,plain,
( op_a = i(c3)
| ~ spl0_40 ),
inference(superposition,[],[f668,f4055]) ).
fof(f4072,plain,
( mult(op_b,op_a) = c3
| ~ spl0_13
| ~ spl0_40 ),
inference(backward_demodulation,[],[f4062,f4069]) ).
fof(f4074,plain,
( $false
| spl0_2
| ~ spl0_13
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f4072,f50]) ).
fof(f4075,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f4074]) ).
fof(f4078,plain,
( i(c4) = mult(c3,i(op_b))
| ~ spl0_41 ),
inference(superposition,[],[f1491,f4059]) ).
fof(f4081,plain,
( op_a = i(c4)
| ~ spl0_13
| ~ spl0_41 ),
inference(forward_demodulation,[],[f4078,f4049]) ).
fof(f4114,definition,
( spl0_42
<=> c3 = i(c3) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f4115,plain,
( c3 != i(c3)
| spl0_42 ),
inference(avatar_component_clause,[],[f4114]) ).
fof(f4116,plain,
( c3 = i(c3)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f4114]) ).
fof(f4118,definition,
( spl0_43
<=> op_b = i(c3) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f4119,plain,
( op_b != i(c3)
| spl0_43 ),
inference(avatar_component_clause,[],[f4118]) ).
fof(f4120,plain,
( op_b = i(c3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f4118]) ).
fof(f4122,definition,
( spl0_44
<=> c4 = mult(op_b,c4) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f4123,plain,
( c4 != mult(op_b,c4)
| spl0_44 ),
inference(avatar_component_clause,[],[f4122]) ).
fof(f4124,plain,
( c4 = mult(op_b,c4)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f4122]) ).
fof(f4184,plain,
( c4 != c4
| e = mult(op_b,c4)
| op_b = mult(op_b,c4)
| c3 = mult(op_b,c4)
| ~ spl0_9
| ~ spl0_28
| spl0_44 ),
inference(superposition,[],[f4123,f3803]) ).
fof(f4185,plain,
( e = mult(op_b,c4)
| op_b = mult(op_b,c4)
| c3 = mult(op_b,c4)
| ~ spl0_9
| ~ spl0_28
| spl0_44 ),
inference(trivial_inequality_removal,[],[f4184]) ).
fof(f4187,definition,
( spl0_45
<=> c3 = mult(op_b,c4) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f4189,plain,
( c3 = mult(op_b,c4)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f4187]) ).
fof(f4191,definition,
( spl0_46
<=> op_b = mult(op_b,c4) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f4192,plain,
( op_b != mult(op_b,c4)
| spl0_46 ),
inference(avatar_component_clause,[],[f4191]) ).
fof(f4193,plain,
( op_b = mult(op_b,c4)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f4191]) ).
fof(f4195,definition,
( spl0_47
<=> e = mult(op_b,c4) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f4196,plain,
( e != mult(op_b,c4)
| spl0_47 ),
inference(avatar_component_clause,[],[f4195]) ).
fof(f4197,plain,
( e = mult(op_b,c4)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f4195]) ).
fof(f4198,plain,
( spl0_45
| spl0_46
| spl0_47
| ~ spl0_9
| ~ spl0_28
| spl0_44 ),
inference(avatar_split_clause,[],[f4185,f4122,f1046,f163,f4195,f4191,f4187]) ).
fof(f4203,plain,
( c4 = mult(i(op_b),c3)
| ~ spl0_45 ),
inference(superposition,[],[f673,f4189]) ).
fof(f4206,plain,
( c4 = mult(c4,c3)
| e = i(op_b)
| op_b = i(op_b)
| c3 = i(op_b)
| ~ spl0_9
| ~ spl0_28
| ~ spl0_45 ),
inference(superposition,[],[f4203,f3803]) ).
fof(f4213,plain,
( op_b = c4
| e = i(op_b)
| op_b = i(op_b)
| c3 = i(op_b)
| ~ spl0_9
| ~ spl0_28
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_demodulation,[],[f4206,f4059]) ).
fof(f4215,plain,
( e = i(op_b)
| op_b = i(op_b)
| c3 = i(op_b)
| ~ spl0_9
| ~ spl0_28
| spl0_39
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f4213,f1699]) ).
fof(f4218,definition,
( spl0_48
<=> c3 = i(op_b) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f4219,plain,
( c3 != i(op_b)
| spl0_48 ),
inference(avatar_component_clause,[],[f4218]) ).
fof(f4220,plain,
( c3 = i(op_b)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f4218]) ).
fof(f4222,definition,
( spl0_49
<=> op_b = i(op_b) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f4223,plain,
( op_b != i(op_b)
| spl0_49 ),
inference(avatar_component_clause,[],[f4222]) ).
fof(f4224,plain,
( op_b = i(op_b)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f4222]) ).
fof(f4226,definition,
( spl0_50
<=> e = i(op_b) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f4227,plain,
( e != i(op_b)
| spl0_50 ),
inference(avatar_component_clause,[],[f4226]) ).
fof(f4228,plain,
( e = i(op_b)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f4226]) ).
fof(f4229,plain,
( spl0_48
| spl0_49
| spl0_50
| ~ spl0_9
| ~ spl0_28
| spl0_39
| ~ spl0_41
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f4215,f4187,f4057,f1698,f1046,f163,f4226,f4222,f4218]) ).
fof(f4234,plain,
( c4 = mult(c3,c3)
| ~ spl0_45
| ~ spl0_48 ),
inference(backward_demodulation,[],[f4203,f4220]) ).
fof(f4239,plain,
( op_a = mult(c3,c3)
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_demodulation,[],[f4049,f4220]) ).
fof(f4242,plain,
( op_a = c4
| ~ spl0_13
| ~ spl0_45
| ~ spl0_48 ),
inference(backward_demodulation,[],[f4234,f4239]) ).
fof(f4269,plain,
( mult(op_b,op_a) = c3
| ~ spl0_13
| ~ spl0_45
| ~ spl0_48 ),
inference(backward_demodulation,[],[f4189,f4242]) ).
fof(f4276,plain,
( $false
| spl0_2
| ~ spl0_13
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f4269,f50]) ).
fof(f4277,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4283,plain,
( op_a = mult(c3,op_b)
| ~ spl0_13
| ~ spl0_49 ),
inference(forward_demodulation,[],[f4049,f4224]) ).
fof(f4298,plain,
( c3 = i(op_b)
| ~ spl0_43 ),
inference(superposition,[],[f668,f4120]) ).
fof(f4308,plain,
( op_b = i(c3)
| ~ spl0_48 ),
inference(superposition,[],[f668,f4220]) ).
fof(f4327,plain,
( c4 = mult(i(op_b),e)
| ~ spl0_47 ),
inference(superposition,[],[f673,f4197]) ).
fof(f4330,plain,
( c4 = i(op_b)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f4327,f13]) ).
fof(f4342,plain,
( c4 = mult(i(op_b),op_b)
| ~ spl0_46 ),
inference(superposition,[],[f673,f4193]) ).
fof(f4344,plain,
( e = c4
| ~ spl0_46 ),
inference(forward_demodulation,[],[f4342,f674]) ).
fof(f4346,plain,
( $false
| spl0_6
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f4344,f137]) ).
fof(f4347,plain,
( spl0_6
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f4346]) ).
fof(f4365,plain,
( op_b = i(c4)
| ~ spl0_47 ),
inference(superposition,[],[f668,f4330]) ).
fof(f4368,plain,
( op_a = op_b
| ~ spl0_13
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f4365,f4081]) ).
fof(f4369,plain,
( $false
| ~ spl0_13
| ~ spl0_28
| spl0_31
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f4368,f1739]) ).
fof(f4370,plain,
( ~ spl0_13
| ~ spl0_28
| spl0_31
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f4369]) ).
fof(f4527,plain,
( op_a = c4
| e = mult(c3,op_b)
| op_b = mult(c3,op_b)
| c3 = mult(c3,op_b)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| ~ spl0_49 ),
inference(superposition,[],[f4283,f3803]) ).
fof(f4533,plain,
( e = op_a
| op_a = c4
| op_b = mult(c3,op_b)
| c3 = mult(c3,op_b)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f4527,f4283]) ).
fof(f4545,plain,
( op_a = c4
| op_b = mult(c3,op_b)
| c3 = mult(c3,op_b)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4533,f2122]) ).
fof(f4554,plain,
( op_a = op_b
| op_a = c4
| c3 = mult(c3,op_b)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f4545,f4283]) ).
fof(f4563,plain,
( op_a = c4
| c3 = mult(c3,op_b)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4554,f1739]) ).
fof(f4564,plain,
( op_a = c3
| op_a = c4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f4563,f4283]) ).
fof(f4565,plain,
( op_a = c4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4564,f1064]) ).
fof(f4592,plain,
( mult(op_b,op_a) = c3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(backward_demodulation,[],[f4189,f4565]) ).
fof(f4595,plain,
( $false
| spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4592,f50]) ).
fof(f4596,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f4595]) ).
fof(f4603,plain,
( c3 != mult(op_a,op_a)
| spl0_2
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[],[f50,f3267]) ).
fof(f4605,plain,
( c3 = mult(op_a,op_a)
| ~ spl0_13
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[],[f308,f3267]) ).
fof(f4721,plain,
( $false
| spl0_2
| ~ spl0_13
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f4603,f4605]) ).
fof(f4722,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_28
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f4721]) ).
fof(f4758,plain,
( op_a = mult(op_a,op_b)
| ~ spl0_13
| ~ spl0_32 ),
inference(forward_demodulation,[],[f308,f1065]) ).
fof(f4967,plain,
( mult(op_b,e) != mult(e,op_b)
| ~ spl0_9
| ~ spl0_33 ),
inference(forward_demodulation,[],[f15,f2247]) ).
fof(f4975,plain,
( op_b != mult(op_b,e)
| ~ spl0_9
| ~ spl0_33 ),
inference(forward_demodulation,[],[f4967,f544]) ).
fof(f4978,plain,
( $false
| ~ spl0_9
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f4975,f13]) ).
fof(f4979,plain,
( ~ spl0_9
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f4978]) ).
fof(f5003,plain,
( op_b != mult(op_a,op_b)
| spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f309,f1052]) ).
fof(f5011,plain,
( ! [X0] :
( c4 = X0
| e = X0
| op_b = X0
| c1 = X0 )
| ~ spl0_9
| ~ spl0_29 ),
inference(forward_demodulation,[],[f3710,f1052]) ).
fof(f5036,plain,
( mult(op_a,op_b) != c1
| ~ spl0_1 ),
inference(backward_demodulation,[],[f15,f47]) ).
fof(f5048,plain,
( ~ spl0_20
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5036,f45,f716]) ).
fof(f5135,plain,
( c4 != c4
| e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| mult(op_a,op_b) = c1
| spl0_4
| ~ spl0_9
| ~ spl0_29 ),
inference(superposition,[],[f59,f5011]) ).
fof(f5141,plain,
( e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| mult(op_a,op_b) = c1
| spl0_4
| ~ spl0_9
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f5135]) ).
fof(f5158,plain,
( c4 != c4
| e = mult(op_b,c4)
| op_b = mult(op_b,c4)
| c1 = mult(op_b,c4)
| ~ spl0_9
| ~ spl0_29
| spl0_44 ),
inference(superposition,[],[f4123,f5011]) ).
fof(f5159,plain,
( e = mult(op_b,c4)
| op_b = mult(op_b,c4)
| c1 = mult(op_b,c4)
| ~ spl0_9
| ~ spl0_29
| spl0_44 ),
inference(trivial_inequality_removal,[],[f5158]) ).
fof(f5231,plain,
( op_b = mult(op_a,op_b)
| mult(op_a,op_b) = c1
| spl0_4
| ~ spl0_9
| spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f5141,f727]) ).
fof(f5241,plain,
( op_b = mult(op_b,c4)
| c1 = mult(op_b,c4)
| ~ spl0_9
| ~ spl0_29
| spl0_44
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f5159,f4196]) ).
fof(f5252,plain,
( mult(op_a,op_b) = c1
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f5231,f5003]) ).
fof(f5260,plain,
( c1 = mult(op_b,c4)
| ~ spl0_9
| ~ spl0_29
| spl0_44
| spl0_46
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f5241,f4192]) ).
fof(f5272,plain,
( op_b = mult(op_a,op_b)
| ~ spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f308,f1052]) ).
fof(f5352,plain,
( i(op_b) = mult(c4,i(c4))
| ~ spl0_44 ),
inference(superposition,[],[f1491,f4124]) ).
fof(f5355,plain,
( e = i(op_b)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f5352,f12]) ).
fof(f5430,plain,
( i(op_a) = mult(op_b,i(op_b))
| ~ spl0_13
| ~ spl0_29 ),
inference(superposition,[],[f1491,f5272]) ).
fof(f5433,plain,
( e = i(op_a)
| ~ spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f5430,f12]) ).
fof(f5434,plain,
( $false
| ~ spl0_13
| ~ spl0_29
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f5433,f1686]) ).
fof(f5435,plain,
( ~ spl0_13
| ~ spl0_29
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f5434]) ).
fof(f5437,plain,
( spl0_20
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f5252,f1050,f726,f307,f163,f57,f716]) ).
fof(f5444,plain,
( op_b = mult(i(op_a),c1)
| ~ spl0_20 ),
inference(superposition,[],[f673,f718]) ).
fof(f5504,plain,
( i(i(op_a)) = mult(c1,i(op_b))
| ~ spl0_20 ),
inference(superposition,[],[f1491,f5444]) ).
fof(f5508,plain,
( op_a = mult(c1,i(op_b))
| ~ spl0_20 ),
inference(forward_demodulation,[],[f5504,f668]) ).
fof(f5513,plain,
( op_a = c4
| e = mult(c1,i(op_b))
| op_b = mult(c1,i(op_b))
| c1 = mult(c1,i(op_b))
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f5508,f5011]) ).
fof(f5519,plain,
( e = op_a
| op_a = c4
| op_b = mult(c1,i(op_b))
| c1 = mult(c1,i(op_b))
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f5513,f5508]) ).
fof(f5521,plain,
( op_a = c4
| op_b = mult(c1,i(op_b))
| c1 = mult(c1,i(op_b))
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f5519,f2122]) ).
fof(f5523,plain,
( op_a = op_b
| op_a = c4
| c1 = mult(c1,i(op_b))
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_33 ),
inference(forward_demodulation,[],[f5521,f5508]) ).
fof(f5525,definition,
( spl0_51
<=> c1 = i(op_b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f5526,plain,
( c1 != i(op_b)
| spl0_51 ),
inference(avatar_component_clause,[],[f5525]) ).
fof(f5527,plain,
( c1 = i(op_b)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f5525]) ).
fof(f5533,plain,
( op_a = c4
| c1 = mult(c1,i(op_b))
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_32
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f5523,f2242]) ).
fof(f5534,plain,
( op_a = c1
| op_a = c4
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_32
| spl0_33 ),
inference(forward_demodulation,[],[f5533,f5508]) ).
fof(f5535,plain,
( op_a = c4
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f5534,f1059]) ).
fof(f5555,plain,
( mult(op_b,op_a) = c1
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| spl0_44
| spl0_46
| spl0_47 ),
inference(backward_demodulation,[],[f5260,f5535]) ).
fof(f5562,plain,
( $false
| spl0_1
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| spl0_44
| spl0_46
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f5555,f46]) ).
fof(f5563,plain,
( spl0_1
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| spl0_44
| spl0_46
| spl0_47 ),
inference(avatar_contradiction_clause,[],[f5562]) ).
fof(f5564,plain,
( e = mult(op_b,op_a)
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f4197,f5535]) ).
fof(f5581,plain,
( $false
| ~ spl0_9
| spl0_12
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f5564,f304]) ).
fof(f5582,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f5581]) ).
fof(f5595,plain,
( spl0_50
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f5355,f4122,f4226]) ).
fof(f5624,plain,
( op_b = mult(i(op_a),op_a)
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f5444,f1060]) ).
fof(f5678,plain,
( e = op_b
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f5624,f674]) ).
fof(f5708,plain,
( $false
| ~ spl0_20
| ~ spl0_31
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f5678,f1072]) ).
fof(f5709,plain,
( ~ spl0_20
| ~ spl0_31
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f5708]) ).
fof(f5810,plain,
( ! [X0] :
( c3 = X0
| e = X0
| op_b = X0
| c1 = X0 )
| ~ spl0_9
| ~ spl0_39 ),
inference(forward_demodulation,[],[f3710,f1700]) ).
fof(f5856,plain,
( op_b = i(c1)
| ~ spl0_51 ),
inference(superposition,[],[f668,f5527]) ).
fof(f5901,plain,
( c3 != c3
| e = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| mult(op_b,op_a) = c1
| spl0_2
| ~ spl0_9
| ~ spl0_39 ),
inference(superposition,[],[f50,f5810]) ).
fof(f5907,plain,
( e = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| mult(op_b,op_a) = c1
| spl0_2
| ~ spl0_9
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f5901]) ).
fof(f5909,plain,
( op_b = mult(op_b,op_a)
| mult(op_b,op_a) = c1
| spl0_2
| ~ spl0_9
| spl0_12
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f5907,f304]) ).
fof(f5920,plain,
( op_b = mult(op_b,op_a)
| spl0_1
| spl0_2
| ~ spl0_9
| spl0_12
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f5909,f46]) ).
fof(f5946,definition,
( spl0_53
<=> op_a = op_b ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f5947,plain,
( op_a != op_b
| spl0_53 ),
inference(avatar_component_clause,[],[f5946]) ).
fof(f5948,plain,
( op_a = op_b
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f5946]) ).
fof(f6014,plain,
( mult(op_a,op_a) != mult(op_a,op_a)
| ~ spl0_53 ),
inference(forward_demodulation,[],[f15,f5948]) ).
fof(f6015,plain,
( $false
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6014]) ).
fof(f6016,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f6015]) ).
fof(f6030,plain,
( op_b != mult(op_a,op_b)
| spl0_4
| ~ spl0_39 ),
inference(forward_demodulation,[],[f59,f1700]) ).
fof(f6036,plain,
( op_a = mult(i(op_b),op_b)
| spl0_1
| spl0_2
| ~ spl0_9
| spl0_12
| ~ spl0_39 ),
inference(superposition,[],[f673,f5920]) ).
fof(f6038,plain,
( e = op_a
| spl0_1
| spl0_2
| ~ spl0_9
| spl0_12
| ~ spl0_39 ),
inference(forward_demodulation,[],[f6036,f674]) ).
fof(f6039,plain,
( $false
| spl0_1
| spl0_2
| ~ spl0_9
| spl0_12
| spl0_33
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6038,f2122]) ).
fof(f6040,plain,
( spl0_1
| spl0_2
| ~ spl0_9
| spl0_12
| spl0_33
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f6039]) ).
fof(f6044,plain,
( i(op_b) = mult(op_a,i(c3))
| ~ spl0_2 ),
inference(superposition,[],[f1491,f51]) ).
fof(f6045,plain,
( op_a = mult(i(op_b),c3)
| ~ spl0_2 ),
inference(superposition,[],[f673,f51]) ).
fof(f6047,plain,
( e = op_a
| ~ spl0_9
| spl0_31
| spl0_32
| ~ spl0_39
| spl0_53 ),
inference(unit_resulting_resolution,[],[f5810,f1059,f5947,f1064]) ).
fof(f6085,plain,
( $false
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f6047,f2122]) ).
fof(f6086,plain,
( ~ spl0_9
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f6085]) ).
fof(f6105,plain,
( op_a != mult(op_a,op_b)
| spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f717,f1060]) ).
fof(f6110,plain,
( ! [X0] :
( c3 = X0
| op_a = X0
| e = X0
| op_b = X0 )
| ~ spl0_9
| ~ spl0_31
| ~ spl0_39 ),
inference(backward_demodulation,[],[f5810,f1060]) ).
fof(f6249,plain,
( op_b = i(op_a)
| ~ spl0_31
| ~ spl0_51 ),
inference(forward_demodulation,[],[f5856,f1060]) ).
fof(f6267,plain,
( e = mult(op_a,op_b)
| ~ spl0_31
| ~ spl0_51 ),
inference(superposition,[],[f12,f6249]) ).
fof(f6268,plain,
( $false
| spl0_22
| ~ spl0_31
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f6267,f727]) ).
fof(f6269,plain,
( spl0_22
| ~ spl0_31
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f6268]) ).
fof(f6276,plain,
( $false
| spl0_43
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f4308,f4119]) ).
fof(f6277,plain,
( spl0_43
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f6276]) ).
fof(f6282,plain,
( c3 = mult(op_a,i(c3))
| ~ spl0_2
| ~ spl0_48 ),
inference(forward_demodulation,[],[f6044,f4220]) ).
fof(f6294,plain,
( mult(op_a,op_b) = c3
| ~ spl0_2
| ~ spl0_43
| ~ spl0_48 ),
inference(backward_demodulation,[],[f6282,f4120]) ).
fof(f6295,plain,
( $false
| ~ spl0_2
| spl0_13
| ~ spl0_43
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f6294,f309]) ).
fof(f6296,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_43
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f6295]) ).
fof(f6303,plain,
( op_a = mult(op_b,c3)
| ~ spl0_2
| ~ spl0_49 ),
inference(forward_demodulation,[],[f6045,f4224]) ).
fof(f6483,plain,
( c3 != c3
| op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| ~ spl0_9
| spl0_13
| ~ spl0_31
| ~ spl0_39 ),
inference(superposition,[],[f309,f6110]) ).
fof(f6484,plain,
( op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| ~ spl0_9
| spl0_13
| ~ spl0_31
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f6483]) ).
fof(f6485,plain,
( e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| ~ spl0_9
| spl0_13
| spl0_20
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6484,f6105]) ).
fof(f6486,plain,
( op_b = mult(op_a,op_b)
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6485,f727]) ).
fof(f6487,plain,
( $false
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6486,f6030]) ).
fof(f6488,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_31
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f6487]) ).
fof(f6506,plain,
( ! [X0] :
( c1 = X0
| e = X0
| op_b = X0
| op_a = X0 )
| ~ spl0_9
| ~ spl0_32
| ~ spl0_39 ),
inference(forward_demodulation,[],[f5810,f1065]) ).
fof(f6680,plain,
( c1 != c1
| e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_9
| spl0_20
| ~ spl0_32
| ~ spl0_39 ),
inference(superposition,[],[f717,f6506]) ).
fof(f6681,plain,
( e = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_9
| spl0_20
| ~ spl0_32
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f6680]) ).
fof(f6682,plain,
( op_b = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_9
| spl0_20
| spl0_22
| ~ spl0_32
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6681,f727]) ).
fof(f6683,plain,
( op_a = mult(op_a,op_b)
| spl0_4
| ~ spl0_9
| spl0_20
| spl0_22
| ~ spl0_32
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6682,f6030]) ).
fof(f6684,plain,
( $false
| spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_32
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6683,f3701]) ).
fof(f6685,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_32
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f6684]) ).
fof(f6747,plain,
( op_b = mult(i(op_a),op_a)
| ~ spl0_13
| ~ spl0_32 ),
inference(superposition,[],[f673,f4758]) ).
fof(f6749,plain,
( e = op_b
| ~ spl0_13
| ~ spl0_32 ),
inference(forward_demodulation,[],[f6747,f674]) ).
fof(f6751,plain,
( $false
| ~ spl0_13
| ~ spl0_32
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f6749,f1072]) ).
fof(f6752,plain,
( ~ spl0_13
| ~ spl0_32
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f6751]) ).
fof(f6774,plain,
( op_a = op_b
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1052,f1065]) ).
fof(f6863,plain,
( $false
| ~ spl0_29
| ~ spl0_32
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f6774,f5947]) ).
fof(f6864,plain,
( ~ spl0_29
| ~ spl0_32
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f6863]) ).
fof(f7057,plain,
( i(op_a) = mult(op_b,i(c2))
| ~ spl0_21 ),
inference(superposition,[],[f1491,f722]) ).
fof(f7217,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f160]) ).
fof(f7235,plain,
! [X0] :
( c3 = X0
| c2 = X0
| c4 = X0
| c1 = i(i(X0)) ),
inference(forward_demodulation,[],[f3999,f668]) ).
fof(f7252,plain,
( e = op_b
| ~ spl0_8
| spl0_28
| spl0_30
| spl0_39 ),
inference(unit_resulting_resolution,[],[f7217,f1047,f1055,f1699]) ).
fof(f7294,plain,
( $false
| ~ spl0_8
| spl0_28
| spl0_30
| spl0_34
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f7252,f1072]) ).
fof(f7295,plain,
( ~ spl0_8
| spl0_28
| spl0_30
| spl0_34
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f7294]) ).
fof(f7320,plain,
( i(op_a) = mult(op_b,i(op_b))
| ~ spl0_21
| ~ spl0_30 ),
inference(backward_demodulation,[],[f7057,f1056]) ).
fof(f7344,plain,
( e = i(op_a)
| ~ spl0_21
| ~ spl0_30 ),
inference(forward_demodulation,[],[f7320,f12]) ).
fof(f7362,plain,
( op_b != mult(op_a,op_b)
| spl0_21
| ~ spl0_30 ),
inference(forward_demodulation,[],[f721,f1056]) ).
fof(f7388,plain,
( ! [X0] :
( e = X0
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f16,f138]) ).
fof(f7435,plain,
( ! [X0] :
( c3 = X0
| e = X0
| op_b = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f7388,f1056]) ).
fof(f7551,plain,
( e = op_a
| ~ spl0_6
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(unit_resulting_resolution,[],[f7435,f1059,f5947,f1064]) ).
fof(f7568,plain,
( c3 != c3
| e = i(op_b)
| op_b = i(op_b)
| c1 = i(op_b)
| ~ spl0_6
| ~ spl0_30
| spl0_48 ),
inference(superposition,[],[f4219,f7435]) ).
fof(f7589,plain,
( e = i(op_b)
| op_b = i(op_b)
| c1 = i(op_b)
| ~ spl0_6
| ~ spl0_30
| spl0_48 ),
inference(trivial_inequality_removal,[],[f7568]) ).
fof(f7598,plain,
( op_b = i(op_b)
| c1 = i(op_b)
| ~ spl0_6
| ~ spl0_30
| spl0_48
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f7589,f4227]) ).
fof(f7602,plain,
( c1 = mult(op_b,e)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(backward_demodulation,[],[f47,f7551]) ).
fof(f7609,plain,
( e != i(e)
| ~ spl0_6
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_37
| spl0_53 ),
inference(backward_demodulation,[],[f1686,f7551]) ).
fof(f7624,plain,
( c1 = i(op_b)
| ~ spl0_6
| ~ spl0_30
| spl0_48
| spl0_49
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f7598,f4223]) ).
fof(f7633,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_37
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f7609,f331]) ).
fof(f7634,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_37
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f7633]) ).
fof(f7639,plain,
( op_b = c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(forward_demodulation,[],[f7602,f13]) ).
fof(f7646,plain,
( $false
| ~ spl0_6
| ~ spl0_30
| spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f7624,f5526]) ).
fof(f7647,plain,
( ~ spl0_6
| ~ spl0_30
| spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f7646]) ).
fof(f7650,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_28
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f7639,f1047]) ).
fof(f7651,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_28
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f7650]) ).
fof(f7703,plain,
( spl0_37
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f7344,f1054,f720,f1685]) ).
fof(f7855,plain,
( ! [X0] :
( e = X0
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f16,f138]) ).
fof(f7862,plain,
( ! [X0] :
( e = mult(X0,e)
| i(X0) = c2
| i(X0) = c3
| i(X0) = c1 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f30,f138]) ).
fof(f7873,plain,
( op_b != mult(op_a,op_b)
| spl0_20
| ~ spl0_28 ),
inference(forward_demodulation,[],[f717,f1048]) ).
fof(f7922,plain,
( ! [X0] :
( e = X0
| i(X0) = c2
| i(X0) = c3
| i(X0) = c1 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7862,f13]) ).
fof(f7990,plain,
( op_b != mult(e,op_b)
| ~ spl0_1
| spl0_20
| ~ spl0_28 ),
inference(backward_demodulation,[],[f7873,f1766]) ).
fof(f7991,plain,
( $false
| ~ spl0_1
| spl0_20
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f7990,f544]) ).
fof(f7992,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f7991]) ).
fof(f8036,plain,
( ! [X0] :
( op_b = X0
| e = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_demodulation,[],[f7855,f1052]) ).
fof(f8160,plain,
( ! [X0] :
( i(X0) = c2
| e = X0
| i(X0) = op_b
| i(X0) = c1 )
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_demodulation,[],[f7922,f1052]) ).
fof(f8169,plain,
( e = mult(e,op_a)
| ~ spl0_37 ),
inference(superposition,[],[f674,f1687]) ).
fof(f8172,plain,
( e = op_a
| ~ spl0_37 ),
inference(forward_demodulation,[],[f8169,f544]) ).
fof(f8236,plain,
( ! [X0] :
( i(X0) = e
| c2 = X0
| op_b = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_29 ),
inference(superposition,[],[f8160,f668]) ).
fof(f8253,plain,
( e = i(op_a)
| ~ spl0_6
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_53 ),
inference(unit_resulting_resolution,[],[f8236,f1059,f5947,f1068]) ).
fof(f8274,plain,
( $false
| ~ spl0_6
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_37
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f8253,f1686]) ).
fof(f8275,plain,
( ~ spl0_6
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_37
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f8274]) ).
fof(f8278,plain,
( op_a != mult(op_a,op_b)
| spl0_21
| ~ spl0_33 ),
inference(backward_demodulation,[],[f721,f1069]) ).
fof(f8283,plain,
( ! [X0] :
( c1 = X0
| op_b = X0
| e = X0
| op_a = X0 )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_33 ),
inference(backward_demodulation,[],[f8036,f1069]) ).
fof(f8386,plain,
( c2 = i(op_b)
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f994,f1052]) ).
fof(f8388,plain,
( c3 = i(op_a)
| ~ spl0_26
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1008,f1069]) ).
fof(f8586,plain,
( op_a = i(op_a)
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3395,f1069]) ).
fof(f8610,plain,
( c1 != c1
| op_b = mult(op_a,op_b)
| e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_20
| ~ spl0_29
| ~ spl0_33 ),
inference(superposition,[],[f717,f8283]) ).
fof(f8611,plain,
( op_b = mult(op_a,op_b)
| e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_20
| ~ spl0_29
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f8610]) ).
fof(f8612,plain,
( e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_13
| spl0_20
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f8611,f5003]) ).
fof(f8613,plain,
( op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f8612,f727]) ).
fof(f8614,plain,
( $false
| ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f8613,f8278]) ).
fof(f8615,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_29
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f8614]) ).
fof(f8656,plain,
( ! [X0] :
( op_b = X0
| e = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f7855,f1056]) ).
fof(f8714,plain,
( ! [X0] :
( c1 = X0
| op_b = X0
| e = X0
| op_a = X0 )
| ~ spl0_6
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_demodulation,[],[f8656,f1065]) ).
fof(f8844,plain,
( c1 != c1
| op_b = mult(op_a,op_b)
| e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_20
| ~ spl0_30
| ~ spl0_32 ),
inference(superposition,[],[f717,f8714]) ).
fof(f8853,plain,
( op_b = mult(op_a,op_b)
| e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_20
| ~ spl0_30
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f8844]) ).
fof(f8854,plain,
( e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_20
| spl0_21
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f8853,f7362]) ).
fof(f8863,plain,
( op_a = mult(op_a,op_b)
| ~ spl0_6
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f8854,f727]) ).
fof(f8872,plain,
( $false
| ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f8863,f3701]) ).
fof(f8873,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f8872]) ).
fof(f9004,plain,
( ! [X0] :
( op_a = X0
| c4 = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_32 ),
inference(forward_demodulation,[],[f16,f1065]) ).
fof(f9023,plain,
( c2 = i(e)
| c3 = i(e)
| c1 = i(e)
| spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2070,f137]) ).
fof(f9037,plain,
( ! [X0] :
( c4 = X0
| op_a = X0
| e = X0
| c2 = X0 )
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9004,f172]) ).
fof(f9055,plain,
( e = c2
| c3 = i(e)
| c1 = i(e)
| spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f9023,f331]) ).
fof(f9065,plain,
( c3 = i(e)
| c1 = i(e)
| spl0_6
| spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f9055,f164]) ).
fof(f9069,plain,
( e = c3
| c1 = i(e)
| spl0_6
| spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f9065,f331]) ).
fof(f9072,plain,
( e = op_a
| c1 = i(e)
| spl0_6
| spl0_9
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9069,f1065]) ).
fof(f9074,plain,
( c1 = i(e)
| spl0_6
| spl0_8
| spl0_9
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9072,f2355]) ).
fof(f9076,plain,
( e = c1
| spl0_6
| spl0_8
| spl0_9
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9074,f331]) ).
fof(f9105,plain,
( c4 != c4
| op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| spl0_4
| ~ spl0_11
| ~ spl0_32 ),
inference(superposition,[],[f59,f9037]) ).
fof(f9111,plain,
( op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| spl0_4
| ~ spl0_11
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f9105]) ).
fof(f9112,plain,
( e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| spl0_4
| ~ spl0_11
| spl0_13
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9111,f3701]) ).
fof(f9123,plain,
( mult(op_a,op_b) = c2
| spl0_4
| ~ spl0_11
| spl0_13
| spl0_22
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9112,f727]) ).
fof(f9143,plain,
( mult(op_b,op_a) != c2
| ~ spl0_21 ),
inference(backward_demodulation,[],[f15,f722]) ).
fof(f9448,plain,
( mult(op_b,e) != mult(e,op_b)
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f15,f1771]) ).
fof(f9459,plain,
( op_b != mult(op_b,e)
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9448,f544]) ).
fof(f9470,plain,
( $false
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9459,f13]) ).
fof(f9471,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f9470]) ).
fof(f9473,plain,
( spl0_11
| spl0_6
| spl0_8
| spl0_9
| ~ spl0_17
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f9076,f1063,f329,f163,f158,f136,f170]) ).
fof(f9480,plain,
( spl0_21
| spl0_4
| ~ spl0_11
| spl0_13
| spl0_22
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f9123,f1063,f726,f307,f170,f57,f720]) ).
fof(f9485,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f9143,f720,f53]) ).
fof(f9536,plain,
( ! [X0] :
( op_b = X0
| op_a = X0
| c4 = X0
| c1 = X0 )
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9004,f1056]) ).
fof(f9555,plain,
( op_b != mult(op_b,op_a)
| spl0_3
| ~ spl0_30 ),
inference(forward_demodulation,[],[f54,f1056]) ).
fof(f9736,plain,
( ! [X0] :
( c1 = X0
| op_b = X0
| op_a = X0
| e = X0 )
| ~ spl0_6
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9536,f138]) ).
fof(f9833,plain,
( i(op_a) = mult(op_b,i(c1))
| ~ spl0_20 ),
inference(superposition,[],[f1491,f718]) ).
fof(f9945,plain,
( c1 != c1
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_1
| ~ spl0_6
| ~ spl0_30
| ~ spl0_32 ),
inference(superposition,[],[f46,f9736]) ).
fof(f9952,plain,
( op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_1
| ~ spl0_6
| ~ spl0_30
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f9945]) ).
fof(f9953,plain,
( op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_1
| spl0_3
| ~ spl0_6
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9952,f9555]) ).
fof(f9962,plain,
( e = mult(op_b,op_a)
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9953,f2583]) ).
fof(f9971,plain,
( $false
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9962,f304]) ).
fof(f9972,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f9971]) ).
fof(f9992,plain,
( $false
| ~ spl0_3
| spl0_8
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f3539,f2355]) ).
fof(f9993,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f9992]) ).
fof(f10025,plain,
( ! [X0] :
( e = X0
| op_a = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_demodulation,[],[f9004,f138]) ).
fof(f10072,plain,
( ! [X0] :
( c2 = X0
| e = X0
| op_a = X0
| op_b = X0 )
| ~ spl0_6
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_demodulation,[],[f10025,f1048]) ).
fof(f10131,plain,
( i(op_a) = mult(op_b,i(op_b))
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_demodulation,[],[f9833,f1048]) ).
fof(f10132,plain,
( e = i(op_a)
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_demodulation,[],[f10131,f12]) ).
fof(f10279,definition,
( spl0_54
<=> op_b = mult(c2,op_a) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f10280,plain,
( op_b != mult(c2,op_a)
| spl0_54 ),
inference(avatar_component_clause,[],[f10279]) ).
fof(f10281,plain,
( op_b = mult(c2,op_a)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f10279]) ).
fof(f10283,definition,
( spl0_55
<=> op_a = mult(c2,op_a) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f10284,plain,
( op_a != mult(c2,op_a)
| spl0_55 ),
inference(avatar_component_clause,[],[f10283]) ).
fof(f10285,plain,
( op_a = mult(c2,op_a)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f10283]) ).
fof(f10318,plain,
( i(c2) = mult(op_a,i(op_b))
| ~ spl0_54 ),
inference(superposition,[],[f1491,f10281]) ).
fof(f10480,plain,
( c2 != c2
| e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| ~ spl0_6
| spl0_21
| ~ spl0_28
| ~ spl0_32 ),
inference(superposition,[],[f721,f10072]) ).
fof(f10481,plain,
( e = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| ~ spl0_6
| spl0_21
| ~ spl0_28
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f10480]) ).
fof(f10482,plain,
( op_a = mult(op_a,op_b)
| op_b = mult(op_a,op_b)
| ~ spl0_6
| spl0_21
| spl0_22
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f10481,f727]) ).
fof(f10483,plain,
( op_b = mult(op_a,op_b)
| ~ spl0_6
| spl0_13
| spl0_21
| spl0_22
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f10482,f3701]) ).
fof(f10484,plain,
( $false
| ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f10483,f7873]) ).
fof(f10485,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_28
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f10484]) ).
fof(f10497,plain,
( c2 != c2
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_6
| ~ spl0_28
| ~ spl0_32 ),
inference(superposition,[],[f54,f10072]) ).
fof(f10498,plain,
( e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_6
| ~ spl0_28
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f10497]) ).
fof(f10499,plain,
( op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f10498,f304]) ).
fof(f10500,plain,
( op_b = mult(op_b,op_a)
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f10499,f2583]) ).
fof(f10501,plain,
( $false
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f10500,f3770]) ).
fof(f10502,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f10501]) ).
fof(f10504,plain,
( ! [X0] :
( i(X0) = op_b
| i(X0) = c3
| i(X0) = c2
| e = mult(X0,c4) )
| ~ spl0_28 ),
inference(forward_demodulation,[],[f2060,f1048]) ).
fof(f10510,plain,
( ! [X0] :
( c3 = X0
| c2 = X0
| e = X0
| c1 = X0 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f16,f138]) ).
fof(f10540,plain,
( mult(op_a,op_b) = i(c2)
| ~ spl0_49
| ~ spl0_54 ),
inference(forward_demodulation,[],[f10318,f4224]) ).
fof(f10542,plain,
( ! [X0] :
( e = mult(X0,e)
| i(X0) = op_b
| i(X0) = c3
| i(X0) = c2 )
| ~ spl0_6
| ~ spl0_28 ),
inference(forward_demodulation,[],[f10504,f138]) ).
fof(f10547,plain,
( ! [X0] :
( op_b = X0
| e = X0
| c2 = X0
| c3 = X0 )
| ~ spl0_6
| ~ spl0_28 ),
inference(forward_demodulation,[],[f10510,f1048]) ).
fof(f10569,plain,
( c3 != i(c2)
| spl0_13
| ~ spl0_49
| ~ spl0_54 ),
inference(backward_demodulation,[],[f309,f10540]) ).
fof(f10571,plain,
( ! [X0] :
( i(X0) = c3
| i(X0) = op_b
| e = X0
| i(X0) = c2 )
| ~ spl0_6
| ~ spl0_28 ),
inference(forward_demodulation,[],[f10542,f13]) ).
fof(f10604,plain,
( ! [X0] :
( i(X0) = e
| op_b = X0
| c3 = X0
| c2 = X0 )
| ~ spl0_6
| ~ spl0_28 ),
inference(superposition,[],[f10571,f668]) ).
fof(f10657,plain,
( e = i(op_a)
| ~ spl0_6
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(unit_resulting_resolution,[],[f10604,f1068,f5947,f1064]) ).
fof(f10658,plain,
( $false
| ~ spl0_6
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_37
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f10657,f1686]) ).
fof(f10659,plain,
( ~ spl0_6
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_37
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f10658]) ).
fof(f10673,plain,
( ! [X0] :
( c3 = X0
| op_b = X0
| e = X0
| op_a = X0 )
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(backward_demodulation,[],[f10547,f1069]) ).
fof(f10721,plain,
( c3 != c3
| op_b = i(c3)
| e = i(c3)
| op_a = i(c3)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_42 ),
inference(superposition,[],[f4115,f10673]) ).
fof(f10737,plain,
( c3 != c3
| op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(superposition,[],[f50,f10673]) ).
fof(f10742,plain,
( op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f10737]) ).
fof(f10743,plain,
( op_b = i(c3)
| e = i(c3)
| op_a = i(c3)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_42 ),
inference(trivial_inequality_removal,[],[f10721]) ).
fof(f10744,plain,
( e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f10742,f3770]) ).
fof(f10751,plain,
( e = i(c3)
| op_a = i(c3)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f10743,f4119]) ).
fof(f10754,plain,
( op_a = mult(op_b,op_a)
| spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f10744,f304]) ).
fof(f10761,plain,
( op_a = i(c3)
| ~ spl0_6
| spl0_24
| ~ spl0_28
| ~ spl0_33
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f10751,f985]) ).
fof(f10774,plain,
( $false
| ~ spl0_6
| spl0_24
| spl0_26
| ~ spl0_28
| ~ spl0_33
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f10761,f2494]) ).
fof(f10775,plain,
( ~ spl0_6
| spl0_24
| spl0_26
| ~ spl0_28
| ~ spl0_33
| spl0_42
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f10774]) ).
fof(f10778,plain,
( op_a = i(c3)
| ~ spl0_26
| ~ spl0_33 ),
inference(forward_demodulation,[],[f994,f1069]) ).
fof(f10823,plain,
( mult(op_a,i(op_a)) = i(op_b)
| spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_33 ),
inference(superposition,[],[f1491,f10754]) ).
fof(f10841,plain,
( e = i(op_b)
| spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_33 ),
inference(forward_demodulation,[],[f10823,f12]) ).
fof(f10844,plain,
( $false
| spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_33
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f10841,f4227]) ).
fof(f10845,plain,
( spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_33
| spl0_50 ),
inference(avatar_contradiction_clause,[],[f10844]) ).
fof(f10858,plain,
( op_b != mult(op_a,op_a)
| ~ spl0_33
| spl0_54 ),
inference(forward_demodulation,[],[f10280,f1069]) ).
fof(f10860,plain,
( e = mult(op_b,e)
| ~ spl0_50 ),
inference(superposition,[],[f12,f4228]) ).
fof(f10871,plain,
( e = op_b
| ~ spl0_50 ),
inference(forward_demodulation,[],[f10860,f13]) ).
fof(f10876,plain,
( $false
| spl0_34
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f10871,f1072]) ).
fof(f10877,plain,
( spl0_34
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f10876]) ).
fof(f10882,plain,
( i(op_b) = mult(op_a,i(c3))
| ~ spl0_2 ),
inference(superposition,[],[f1491,f51]) ).
fof(f10885,plain,
( mult(op_a,e) = i(op_b)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f10882,f984]) ).
fof(f10886,plain,
( op_a = i(op_b)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f10885,f13]) ).
fof(f10892,plain,
( e = mult(op_b,op_a)
| ~ spl0_2
| ~ spl0_24 ),
inference(superposition,[],[f12,f10886]) ).
fof(f10903,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f10892,f983,f49,f303]) ).
fof(f10916,plain,
( i(op_b) = mult(op_a,c3)
| ~ spl0_2
| ~ spl0_42 ),
inference(forward_demodulation,[],[f10882,f4116]) ).
fof(f11012,plain,
( c3 != c3
| op_b = i(op_b)
| e = i(op_b)
| op_a = i(op_b)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_48 ),
inference(superposition,[],[f4219,f10673]) ).
fof(f11013,plain,
( op_b = i(op_b)
| e = i(op_b)
| op_a = i(op_b)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_48 ),
inference(trivial_inequality_removal,[],[f11012]) ).
fof(f11014,plain,
( e = i(op_b)
| op_a = i(op_b)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_48
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f11013,f4223]) ).
fof(f11015,plain,
( op_a = i(op_b)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_48
| spl0_49
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f11014,f4227]) ).
fof(f11026,plain,
( e = mult(op_a,op_b)
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_48
| spl0_49
| spl0_50 ),
inference(superposition,[],[f674,f11015]) ).
fof(f11028,plain,
( $false
| ~ spl0_6
| spl0_22
| ~ spl0_28
| ~ spl0_33
| spl0_48
| spl0_49
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f11026,f727]) ).
fof(f11029,plain,
( ~ spl0_6
| spl0_22
| ~ spl0_28
| ~ spl0_33
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_contradiction_clause,[],[f11028]) ).
fof(f11057,plain,
( op_b = mult(op_a,c3)
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f10916,f4224]) ).
fof(f11064,plain,
( ! [X0] : i(mult(X0,op_b)) = mult(op_b,i(X0))
| ~ spl0_49 ),
inference(superposition,[],[f1511,f4224]) ).
fof(f11082,plain,
( i(op_b) = mult(c3,i(op_a))
| ~ spl0_2
| ~ spl0_49 ),
inference(superposition,[],[f1491,f6303]) ).
fof(f11090,plain,
( c3 = mult(i(op_a),op_b)
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(superposition,[],[f673,f11057]) ).
fof(f11093,plain,
( c3 = mult(c3,op_b)
| op_b = i(op_a)
| e = i(op_a)
| op_a = i(op_a)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(superposition,[],[f11090,f10673]) ).
fof(f11095,plain,
( mult(op_b,i(c3)) = i(i(op_a))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(superposition,[],[f1491,f11090]) ).
fof(f11099,plain,
( op_a = mult(op_b,i(c3))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f11095,f668]) ).
fof(f11100,plain,
( c3 = mult(c3,op_b)
| e = i(op_a)
| op_a = i(op_a)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11093,f3324]) ).
fof(f11101,plain,
( op_a = i(mult(c3,op_b))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f11099,f11064]) ).
fof(f11102,plain,
( c3 = mult(c3,op_b)
| op_a = i(op_a)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_35
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11100,f1686]) ).
fof(f11103,plain,
( c3 = mult(c3,op_b)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11102,f2495]) ).
fof(f11104,plain,
( op_a = i(c3)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(backward_demodulation,[],[f11101,f11103]) ).
fof(f11105,plain,
( op_a = c3
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(backward_demodulation,[],[f4116,f11104]) ).
fof(f11106,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| spl0_32
| ~ spl0_33
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11105,f1064]) ).
fof(f11107,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| spl0_32
| ~ spl0_33
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f11106]) ).
fof(f11111,plain,
( spl0_40
| ~ spl0_26
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f8388,f1067,f992,f4053]) ).
fof(f11118,plain,
( i(op_b) = mult(op_a,op_a)
| ~ spl0_2
| ~ spl0_26
| ~ spl0_33 ),
inference(forward_demodulation,[],[f10882,f10778]) ).
fof(f11123,plain,
( i(op_b) = mult(c3,c3)
| ~ spl0_2
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f11082,f4055]) ).
fof(f11124,plain,
( op_b = mult(op_a,op_a)
| ~ spl0_2
| ~ spl0_26
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f11118,f4224]) ).
fof(f11125,plain,
( op_b = mult(c3,c3)
| ~ spl0_2
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f11123,f4224]) ).
fof(f11126,plain,
( $false
| ~ spl0_2
| ~ spl0_26
| ~ spl0_33
| ~ spl0_49
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f11124,f10858]) ).
fof(f11127,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_33
| ~ spl0_49
| spl0_54 ),
inference(avatar_contradiction_clause,[],[f11126]) ).
fof(f11130,plain,
( c3 != i(op_a)
| spl0_13
| ~ spl0_33
| ~ spl0_49
| ~ spl0_54 ),
inference(forward_demodulation,[],[f10569,f1069]) ).
fof(f11140,plain,
( $false
| spl0_13
| ~ spl0_33
| ~ spl0_40
| ~ spl0_49
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f11130,f4055]) ).
fof(f11141,plain,
( spl0_13
| ~ spl0_33
| ~ spl0_40
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f11140]) ).
fof(f11215,plain,
( c3 = mult(i(op_a),op_b)
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(superposition,[],[f673,f11057]) ).
fof(f11217,plain,
( mult(op_a,op_b) = c3
| ~ spl0_2
| ~ spl0_33
| ~ spl0_36
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f11215,f8586]) ).
fof(f11219,plain,
( $false
| ~ spl0_2
| spl0_13
| ~ spl0_33
| ~ spl0_36
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11217,f309]) ).
fof(f11220,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_33
| ~ spl0_36
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f11219]) ).
fof(f11372,plain,
( c3 = i(c1)
| ~ spl0_25 ),
inference(superposition,[],[f668,f990]) ).
fof(f11382,plain,
( e = op_b
| ~ spl0_6
| spl0_28
| spl0_29
| spl0_30 ),
inference(unit_resulting_resolution,[],[f10510,f1047,f1055,f1051]) ).
fof(f11437,plain,
( $false
| ~ spl0_6
| spl0_28
| spl0_29
| spl0_30
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f11382,f1072]) ).
fof(f11438,plain,
( ~ spl0_6
| spl0_28
| spl0_29
| spl0_30
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f11437]) ).
fof(f11534,plain,
( ! [X0] :
( op_b = X0
| c2 = X0
| e = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_29 ),
inference(backward_demodulation,[],[f10510,f1052]) ).
fof(f11599,plain,
( op_b != mult(op_a,op_b)
| spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f309,f1052]) ).
fof(f11650,plain,
( op_b != mult(e,op_b)
| ~ spl0_2
| spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f11599,f2755]) ).
fof(f11663,plain,
( $false
| ~ spl0_2
| spl0_13
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f11650,f544]) ).
fof(f11664,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f11663]) ).
fof(f11697,plain,
( ! [X0] :
( c2 = X0
| op_b = X0
| op_a = X0
| e = X0 )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_31 ),
inference(backward_demodulation,[],[f11534,f1060]) ).
fof(f11784,plain,
( mult(op_a,op_b) != c2
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| ~ spl0_6
| ~ spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f15,f11697]) ).
fof(f11827,plain,
( c2 != c2
| op_b = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| ~ spl0_6
| spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f721,f11697]) ).
fof(f11828,plain,
( op_b = mult(op_a,op_b)
| op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| ~ spl0_6
| spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f11827]) ).
fof(f11829,plain,
( op_a = mult(op_a,op_b)
| e = mult(op_a,op_b)
| ~ spl0_6
| spl0_13
| spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11828,f5003]) ).
fof(f11830,plain,
( e = mult(op_a,op_b)
| ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11829,f6105]) ).
fof(f11831,plain,
( $false
| ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11830,f727]) ).
fof(f11832,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f11831]) ).
fof(f11840,plain,
( op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| ~ spl0_6
| ~ spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11784,f722]) ).
fof(f11841,plain,
( op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_2
| ~ spl0_6
| ~ spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11840,f3182]) ).
fof(f11842,plain,
( e = mult(op_b,op_a)
| spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11841,f1554]) ).
fof(f11843,plain,
( $false
| spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11842,f304]) ).
fof(f11844,plain,
( spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f11843]) ).
fof(f11852,plain,
( op_a = mult(op_a,op_b)
| ~ spl0_21
| ~ spl0_33 ),
inference(backward_demodulation,[],[f722,f1069]) ).
fof(f12051,plain,
( ! [X0] :
( op_b = X0
| c3 = X0
| e = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f10510,f1056]) ).
fof(f12081,plain,
( op_a != i(c3)
| spl0_25
| ~ spl0_31 ),
inference(forward_demodulation,[],[f989,f1060]) ).
fof(f12108,plain,
( ! [X0] :
( c3 = X0
| op_b = X0
| op_a = X0
| e = X0 )
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_demodulation,[],[f12051,f1060]) ).
fof(f12234,plain,
( c3 != c3
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(superposition,[],[f50,f12108]) ).
fof(f12242,plain,
( op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f12234]) ).
fof(f12243,plain,
( op_a = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f12242,f9555]) ).
fof(f12255,plain,
( e = mult(op_b,op_a)
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f12243,f1554]) ).
fof(f12264,plain,
( $false
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f12255,f304]) ).
fof(f12265,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f12264]) ).
fof(f12284,plain,
( $false
| ~ spl0_3
| spl0_11
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3539,f1208]) ).
fof(f12285,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f12284]) ).
fof(f12320,plain,
( c3 = mult(i(op_a),op_b)
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49 ),
inference(superposition,[],[f673,f11057]) ).
fof(f12323,plain,
( c3 = mult(c3,op_b)
| op_b = i(op_a)
| op_a = i(op_a)
| e = i(op_a)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| ~ spl0_42
| ~ spl0_49 ),
inference(superposition,[],[f12320,f12108]) ).
fof(f12330,plain,
( c3 = mult(c3,op_b)
| op_a = i(op_a)
| e = i(op_a)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_36
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f12323,f1956]) ).
fof(f12332,plain,
( c3 = mult(c3,op_b)
| op_a = i(op_a)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f12330,f1686]) ).
fof(f12334,definition,
( spl0_58
<=> op_a = i(op_a) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f12336,plain,
( op_a = i(op_a)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f12334]) ).
fof(f12338,definition,
( spl0_59
<=> c3 = mult(c3,op_b) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f12339,plain,
( c3 != mult(c3,op_b)
| spl0_59 ),
inference(avatar_component_clause,[],[f12338]) ).
fof(f12340,plain,
( c3 = mult(c3,op_b)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f12338]) ).
fof(f12341,plain,
( spl0_58
| spl0_59
| ~ spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f12332,f4222,f4114,f1685,f1681,f1058,f1054,f136,f49,f12338,f12334]) ).
fof(f12343,plain,
( mult(op_a,op_b) = c3
| ~ spl0_2
| ~ spl0_42
| ~ spl0_49
| ~ spl0_58 ),
inference(backward_demodulation,[],[f12320,f12336]) ).
fof(f12347,plain,
( $false
| ~ spl0_2
| spl0_13
| ~ spl0_42
| ~ spl0_49
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f12343,f309]) ).
fof(f12348,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_42
| ~ spl0_49
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f12347]) ).
fof(f12359,plain,
( c3 != c3
| op_b = i(c3)
| op_a = i(c3)
| e = i(c3)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_42 ),
inference(superposition,[],[f4115,f12108]) ).
fof(f12360,plain,
( op_b = i(c3)
| op_a = i(c3)
| e = i(c3)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_42 ),
inference(trivial_inequality_removal,[],[f12359]) ).
fof(f12361,plain,
( op_a = i(c3)
| e = i(c3)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f12360,f4119]) ).
fof(f12362,plain,
( e = i(c3)
| ~ spl0_6
| spl0_25
| ~ spl0_30
| ~ spl0_31
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f12361,f12081]) ).
fof(f12363,plain,
( $false
| ~ spl0_6
| spl0_24
| spl0_25
| ~ spl0_30
| ~ spl0_31
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f12362,f985]) ).
fof(f12364,plain,
( ~ spl0_6
| spl0_24
| spl0_25
| ~ spl0_30
| ~ spl0_31
| spl0_42
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f12363]) ).
fof(f12365,plain,
( op_a = i(c3)
| ~ spl0_25
| ~ spl0_31 ),
inference(forward_demodulation,[],[f990,f1060]) ).
fof(f12368,plain,
( c3 = i(op_a)
| ~ spl0_25
| ~ spl0_31 ),
inference(forward_demodulation,[],[f11372,f1060]) ).
fof(f12380,plain,
( $false
| ~ spl0_25
| ~ spl0_31
| spl0_40 ),
inference(forward_subsumption_resolution,[],[f12368,f4054]) ).
fof(f12381,plain,
( ~ spl0_25
| ~ spl0_31
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f12380]) ).
fof(f12552,plain,
( c3 = mult(i(c3),op_b)
| ~ spl0_2
| ~ spl0_40
| ~ spl0_49 ),
inference(superposition,[],[f673,f11125]) ).
fof(f12554,plain,
( mult(op_a,op_b) = c3
| ~ spl0_2
| ~ spl0_25
| ~ spl0_31
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f12552,f12365]) ).
fof(f12556,plain,
( $false
| ~ spl0_2
| spl0_13
| ~ spl0_25
| ~ spl0_31
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f12554,f309]) ).
fof(f12557,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_25
| ~ spl0_31
| ~ spl0_40
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f12556]) ).
fof(f12667,plain,
( ! [X0] :
( op_b = X0
| c2 = X0
| e = X0
| c1 = X0 )
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_demodulation,[],[f10510,f1052]) ).
fof(f12713,plain,
( ! [X0] :
( c1 = X0
| op_b = X0
| e = X0
| op_a = X0 )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_demodulation,[],[f12667,f1069]) ).
fof(f12809,plain,
( c1 != c1
| op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_1
| ~ spl0_6
| ~ spl0_29
| ~ spl0_33 ),
inference(superposition,[],[f46,f12713]) ).
fof(f12818,plain,
( op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_1
| ~ spl0_6
| ~ spl0_29
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f12809]) ).
fof(f12819,plain,
( e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f12818,f3182]) ).
fof(f12831,plain,
( op_a = mult(op_b,op_a)
| spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f12819,f304]) ).
fof(f12840,plain,
( $false
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f12831,f2653]) ).
fof(f12841,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_29
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f12840]) ).
fof(f12855,plain,
( spl0_50
| ~ spl0_3
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f2634,f1067,f53,f4226]) ).
fof(f12880,plain,
( spl0_37
| ~ spl0_20
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f10132,f1046,f716,f1685]) ).
fof(f13034,plain,
( spl0_48
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f4298,f4118,f4218]) ).
fof(f13197,plain,
( mult(op_b,e) != mult(e,op_b)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f15,f8172]) ).
fof(f13204,plain,
( c2 = i(e)
| c3 = i(e)
| c1 = i(e)
| spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2070,f137]) ).
fof(f13207,plain,
! [X0] :
( c1 = X0
| c3 = X0
| c2 = X0
| c4 = X0 ),
inference(forward_demodulation,[],[f7235,f668]) ).
fof(f13251,plain,
( op_b != mult(op_b,e)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f13197,f544]) ).
fof(f13254,plain,
( e = c2
| c3 = i(e)
| c1 = i(e)
| spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f13204,f331]) ).
fof(f13261,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f13251,f13]) ).
fof(f13262,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f13261]) ).
fof(f13264,plain,
( c3 = i(e)
| c1 = i(e)
| spl0_6
| spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f13254,f164]) ).
fof(f13266,plain,
( e = c3
| c1 = i(e)
| spl0_6
| spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f13264,f331]) ).
fof(f13268,plain,
( c1 = i(e)
| spl0_6
| spl0_8
| spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f13266,f159]) ).
fof(f13270,plain,
( e = c1
| spl0_6
| spl0_8
| spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f13268,f331]) ).
fof(f13365,plain,
( ! [X0] :
( op_b = X0
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_39 ),
inference(forward_demodulation,[],[f16,f1700]) ).
fof(f13423,plain,
( ! [X0] :
( e = X0
| op_b = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_8
| ~ spl0_39 ),
inference(forward_demodulation,[],[f13365,f160]) ).
fof(f13459,plain,
( ! [X0] :
( c2 = X0
| e = X0
| op_b = X0
| op_a = X0 )
| ~ spl0_8
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_demodulation,[],[f13423,f1060]) ).
fof(f13590,plain,
( c2 != c2
| e = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| ~ spl0_31
| ~ spl0_39 ),
inference(superposition,[],[f54,f13459]) ).
fof(f13596,plain,
( e = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| ~ spl0_31
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f13590]) ).
fof(f13597,plain,
( op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f13596,f304]) ).
fof(f13606,plain,
( op_b = mult(op_b,op_a)
| spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f13597,f1554]) ).
fof(f13628,plain,
( op_a = mult(i(op_b),op_b)
| spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| ~ spl0_39 ),
inference(superposition,[],[f673,f13606]) ).
fof(f13630,plain,
( e = op_a
| spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_demodulation,[],[f13628,f674]) ).
fof(f13632,plain,
( $false
| spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| spl0_32
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f13630,f1413]) ).
fof(f13633,plain,
( spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| spl0_32
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f13632]) ).
fof(f13641,plain,
( spl0_11
| spl0_6
| spl0_8
| spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f13270,f329,f163,f158,f136,f170]) ).
fof(f13657,plain,
( ! [X0] :
( c4 = X0
| c3 = X0
| c2 = X0
| e = X0 )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f13207,f172]) ).
fof(f13679,plain,
( ! [X0] :
( c3 = X0
| op_b = X0
| c2 = X0
| e = X0 )
| ~ spl0_11
| ~ spl0_39 ),
inference(forward_demodulation,[],[f13365,f172]) ).
fof(f13736,plain,
( e = op_a
| ~ spl0_11
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(unit_resulting_resolution,[],[f13679,f1068,f5947,f1064]) ).
fof(f13768,plain,
( c3 != c3
| op_b = mult(op_b,op_a)
| mult(op_b,op_a) = c2
| e = mult(op_b,op_a)
| spl0_2
| ~ spl0_11
| ~ spl0_39 ),
inference(superposition,[],[f50,f13679]) ).
fof(f13775,plain,
( op_b = mult(op_b,op_a)
| mult(op_b,op_a) = c2
| e = mult(op_b,op_a)
| spl0_2
| ~ spl0_11
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f13768]) ).
fof(f13776,plain,
( op_b = mult(op_b,op_a)
| mult(op_b,op_a) = c2
| spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f13775,f304]) ).
fof(f13789,plain,
( $false
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f13736,f2499]) ).
fof(f13790,plain,
( ~ spl0_11
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f13789]) ).
fof(f13792,definition,
( spl0_64
<=> op_b = mult(op_b,op_a) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f13793,plain,
( op_b != mult(op_b,op_a)
| spl0_64 ),
inference(avatar_component_clause,[],[f13792]) ).
fof(f13794,plain,
( op_b = mult(op_b,op_a)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f13792]) ).
fof(f13795,plain,
( spl0_3
| spl0_64
| spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f13776,f1698,f303,f170,f49,f13792,f53]) ).
fof(f14089,plain,
( e = op_b
| ~ spl0_11
| spl0_29
| spl0_30
| spl0_39 ),
inference(unit_resulting_resolution,[],[f13657,f1055,f1051,f1699]) ).
fof(f14091,plain,
( $false
| ~ spl0_11
| spl0_29
| spl0_30
| spl0_34
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f14089,f1072]) ).
fof(f14092,plain,
( ~ spl0_11
| spl0_29
| spl0_30
| spl0_34
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f14091]) ).
fof(f14147,plain,
( ! [X0] :
( e = X0
| c1 = X0
| c2 = X0
| c4 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f13207,f160]) ).
fof(f14155,plain,
( ! [X0] :
( op_b = X0
| c2 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_39 ),
inference(forward_demodulation,[],[f16,f1700]) ).
fof(f14189,plain,
( ! [X0] :
( c2 = X0
| e = X0
| c1 = X0
| op_b = X0 )
| ~ spl0_8
| ~ spl0_39 ),
inference(forward_demodulation,[],[f14147,f1700]) ).
fof(f14219,plain,
( e = op_a
| ~ spl0_8
| spl0_31
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(unit_resulting_resolution,[],[f14189,f5947,f1059,f1068]) ).
fof(f14261,plain,
( $false
| ~ spl0_8
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f14219,f1413]) ).
fof(f14262,plain,
( ~ spl0_8
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f14261]) ).
fof(f14289,plain,
( ! [X0] :
( c1 = X0
| e = X0
| op_a = X0
| op_b = X0 )
| ~ spl0_8
| ~ spl0_33
| ~ spl0_39 ),
inference(backward_demodulation,[],[f14189,f1069]) ).
fof(f14387,plain,
( c1 != c1
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| ~ spl0_33
| ~ spl0_39 ),
inference(superposition,[],[f46,f14289]) ).
fof(f14388,plain,
( e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| ~ spl0_33
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f14387]) ).
fof(f14389,plain,
( op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| spl0_12
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f14388,f304]) ).
fof(f14390,plain,
( op_b = mult(op_b,op_a)
| spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f14389,f2653]) ).
fof(f14391,plain,
( $false
| spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_33
| ~ spl0_39
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f14390,f13793]) ).
fof(f14392,plain,
( spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_33
| ~ spl0_39
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f14391]) ).
fof(f14398,plain,
( op_a = mult(i(op_b),op_b)
| ~ spl0_64 ),
inference(superposition,[],[f673,f13794]) ).
fof(f14400,plain,
( e = op_a
| ~ spl0_64 ),
inference(forward_demodulation,[],[f14398,f674]) ).
fof(f14401,plain,
( $false
| ~ spl0_8
| spl0_32
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f14400,f1413]) ).
fof(f14402,plain,
( ~ spl0_8
| spl0_32
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f14401]) ).
fof(f14464,plain,
( ! [X0] :
( op_a = X0
| op_b = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_demodulation,[],[f14155,f1069]) ).
fof(f14483,plain,
( $false
| ~ spl0_11
| spl0_31
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f14400,f2499]) ).
fof(f14484,plain,
( ~ spl0_11
| spl0_31
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f14483]) ).
fof(f14512,plain,
( ! [X0] :
( c3 = X0
| op_a = X0
| op_b = X0
| e = X0 )
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_demodulation,[],[f14464,f172]) ).
fof(f14658,plain,
( c3 != c3
| op_a = i(op_b)
| op_b = i(op_b)
| e = i(op_b)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_48 ),
inference(superposition,[],[f4219,f14512]) ).
fof(f14659,plain,
( op_a = i(op_b)
| op_b = i(op_b)
| e = i(op_b)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_48 ),
inference(trivial_inequality_removal,[],[f14658]) ).
fof(f14660,plain,
( op_a = i(op_b)
| e = i(op_b)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_48
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f14659,f4223]) ).
fof(f14661,plain,
( op_a = i(op_b)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_48
| spl0_49
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f14660,f4227]) ).
fof(f14672,plain,
( e = mult(op_b,op_a)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_48
| spl0_49
| spl0_50 ),
inference(superposition,[],[f12,f14661]) ).
fof(f14684,plain,
( spl0_12
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f14672,f4226,f4222,f4218,f1698,f1067,f170,f303]) ).
fof(f14754,plain,
( c3 != c3
| op_a = mult(c3,op_b)
| op_b = mult(c3,op_b)
| e = mult(c3,op_b)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_59 ),
inference(superposition,[],[f12339,f14512]) ).
fof(f14755,plain,
( op_a = mult(c3,op_b)
| op_b = mult(c3,op_b)
| e = mult(c3,op_b)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_59 ),
inference(trivial_inequality_removal,[],[f14754]) ).
fof(f14757,definition,
( spl0_65
<=> e = mult(c3,op_b) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f14759,plain,
( e = mult(c3,op_b)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f14757]) ).
fof(f14761,definition,
( spl0_66
<=> op_b = mult(c3,op_b) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f14763,plain,
( op_b = mult(c3,op_b)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f14761]) ).
fof(f14765,definition,
( spl0_67
<=> op_a = mult(c3,op_b) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f14767,plain,
( op_a = mult(c3,op_b)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f14765]) ).
fof(f14768,plain,
( spl0_65
| spl0_66
| spl0_67
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_59 ),
inference(avatar_split_clause,[],[f14755,f12338,f1698,f1067,f170,f14765,f14761,f14757]) ).
fof(f14773,plain,
( op_b = mult(i(c3),e)
| ~ spl0_65 ),
inference(superposition,[],[f673,f14759]) ).
fof(f14776,plain,
( op_b = i(c3)
| ~ spl0_65 ),
inference(forward_demodulation,[],[f14773,f13]) ).
fof(f14778,plain,
( spl0_43
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f14776,f14757,f4118]) ).
fof(f14787,plain,
( op_b = mult(i(c3),op_a)
| ~ spl0_67 ),
inference(superposition,[],[f673,f14767]) ).
fof(f14789,plain,
( op_b = mult(c3,op_a)
| ~ spl0_42
| ~ spl0_67 ),
inference(forward_demodulation,[],[f14787,f4116]) ).
fof(f14794,plain,
( i(c3) = mult(op_a,i(op_b))
| ~ spl0_42
| ~ spl0_67 ),
inference(superposition,[],[f1491,f14789]) ).
fof(f14798,plain,
( mult(op_a,op_b) = i(c3)
| ~ spl0_42
| ~ spl0_49
| ~ spl0_67 ),
inference(forward_demodulation,[],[f14794,f4224]) ).
fof(f14799,plain,
( mult(op_a,op_b) = c3
| ~ spl0_42
| ~ spl0_49
| ~ spl0_67 ),
inference(forward_demodulation,[],[f14798,f4116]) ).
fof(f14800,plain,
( $false
| spl0_13
| ~ spl0_42
| ~ spl0_49
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f14799,f309]) ).
fof(f14801,plain,
( spl0_13
| ~ spl0_42
| ~ spl0_49
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f14800]) ).
fof(f14830,plain,
( c3 != c3
| op_a = i(c3)
| op_b = i(c3)
| e = i(c3)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_42 ),
inference(superposition,[],[f4115,f14512]) ).
fof(f14831,plain,
( op_a = i(c3)
| op_b = i(c3)
| e = i(c3)
| ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_42 ),
inference(trivial_inequality_removal,[],[f14830]) ).
fof(f14832,plain,
( op_b = i(c3)
| e = i(c3)
| ~ spl0_11
| spl0_26
| ~ spl0_33
| ~ spl0_39
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f14831,f2494]) ).
fof(f14833,plain,
( e = i(c3)
| ~ spl0_11
| spl0_26
| ~ spl0_33
| ~ spl0_39
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f14832,f4119]) ).
fof(f14834,plain,
( $false
| ~ spl0_11
| spl0_24
| spl0_26
| ~ spl0_33
| ~ spl0_39
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f14833,f985]) ).
fof(f14835,plain,
( ~ spl0_11
| spl0_24
| spl0_26
| ~ spl0_33
| ~ spl0_39
| spl0_42
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f14834]) ).
fof(f14915,plain,
( ~ spl0_64
| spl0_1
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f3770,f1046,f45,f13792]) ).
fof(f15115,plain,
( op_b = mult(i(op_a),op_a)
| ~ spl0_21
| ~ spl0_33 ),
inference(superposition,[],[f673,f11852]) ).
fof(f15117,plain,
( e = op_b
| ~ spl0_21
| ~ spl0_33 ),
inference(forward_demodulation,[],[f15115,f674]) ).
fof(f15119,plain,
( $false
| ~ spl0_21
| ~ spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f15117,f1072]) ).
fof(f15120,plain,
( ~ spl0_21
| ~ spl0_33
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f15119]) ).
fof(f15229,plain,
( ! [X0] :
( e = X0
| c3 = X0
| c2 = X0
| c4 = X0 )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f13207,f172]) ).
fof(f15308,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c2 = X0
| op_b = X0 )
| ~ spl0_11
| ~ spl0_29 ),
inference(forward_demodulation,[],[f15229,f1052]) ).
fof(f15566,plain,
( c4 != c4
| e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| ~ spl0_29 ),
inference(superposition,[],[f59,f15308]) ).
fof(f15572,plain,
( e = mult(op_a,op_b)
| mult(op_a,op_b) = c2
| op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f15566]) ).
fof(f15573,plain,
( mult(op_a,op_b) = c2
| op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f15572,f727]) ).
fof(f15582,plain,
( op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| spl0_21
| spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f15573,f721]) ).
fof(f15591,plain,
( $false
| spl0_4
| ~ spl0_11
| spl0_13
| spl0_21
| spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f15582,f5003]) ).
fof(f15592,plain,
( spl0_4
| ~ spl0_11
| spl0_13
| spl0_21
| spl0_22
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f15591]) ).
fof(f15608,plain,
( op_b = mult(i(op_a),c2)
| ~ spl0_21 ),
inference(superposition,[],[f673,f722]) ).
fof(f15619,plain,
( i(i(op_a)) = mult(c2,i(op_b))
| ~ spl0_21 ),
inference(superposition,[],[f1491,f15608]) ).
fof(f15623,plain,
( i(i(op_a)) = mult(c2,op_b)
| ~ spl0_21
| ~ spl0_49 ),
inference(forward_demodulation,[],[f15619,f4224]) ).
fof(f15625,plain,
( op_a = mult(c2,op_b)
| ~ spl0_21
| ~ spl0_49 ),
inference(forward_demodulation,[],[f15623,f668]) ).
fof(f15628,plain,
( op_a = c4
| e = mult(c2,op_b)
| c2 = mult(c2,op_b)
| op_b = mult(c2,op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| ~ spl0_49 ),
inference(superposition,[],[f15625,f15308]) ).
fof(f15633,plain,
( e = op_a
| op_a = c4
| c2 = mult(c2,op_b)
| op_b = mult(c2,op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| ~ spl0_49 ),
inference(forward_demodulation,[],[f15628,f15625]) ).
fof(f15634,plain,
( op_a = c4
| c2 = mult(c2,op_b)
| op_b = mult(c2,op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f15633,f2499]) ).
fof(f15635,plain,
( op_a = c2
| op_a = c4
| op_b = mult(c2,op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f15634,f15625]) ).
fof(f15636,plain,
( op_a = c4
| op_b = mult(c2,op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f15635,f1068]) ).
fof(f15637,plain,
( op_a = op_b
| op_a = c4
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f15636,f15625]) ).
fof(f15638,plain,
( op_a = c4
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f15637,f5947]) ).
fof(f15643,plain,
( op_a != mult(op_b,op_a)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_44
| ~ spl0_49
| spl0_53 ),
inference(backward_demodulation,[],[f4123,f15638]) ).
fof(f15649,plain,
( ! [X0] :
( c2 = X0
| e = X0
| op_a = X0
| op_b = X0 )
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49
| spl0_53 ),
inference(backward_demodulation,[],[f15308,f15638]) ).
fof(f15698,plain,
( c2 != c2
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49
| spl0_53 ),
inference(superposition,[],[f54,f15649]) ).
fof(f15705,plain,
( e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49
| spl0_53 ),
inference(trivial_inequality_removal,[],[f15698]) ).
fof(f15706,plain,
( op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_11
| spl0_12
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| ~ spl0_49
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f15705,f304]) ).
fof(f15716,plain,
( op_b = mult(op_b,op_a)
| spl0_3
| ~ spl0_11
| spl0_12
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_44
| ~ spl0_49
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f15706,f15643]) ).
fof(f15726,plain,
( $false
| spl0_3
| ~ spl0_11
| spl0_12
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_44
| ~ spl0_49
| spl0_53
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f15716,f13793]) ).
fof(f15727,plain,
( spl0_3
| ~ spl0_11
| spl0_12
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_44
| ~ spl0_49
| spl0_53
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f15726]) ).
fof(f15747,plain,
( op_a = mult(c2,i(op_b))
| ~ spl0_21 ),
inference(forward_demodulation,[],[f15619,f668]) ).
fof(f15805,plain,
( op_a = mult(c2,c4)
| e = i(op_b)
| c2 = i(op_b)
| op_b = i(op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29 ),
inference(superposition,[],[f15747,f15308]) ).
fof(f15806,plain,
( op_a = c4
| e = mult(c2,i(op_b))
| c2 = mult(c2,i(op_b))
| op_b = mult(c2,i(op_b))
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29 ),
inference(superposition,[],[f15747,f15308]) ).
fof(f15809,plain,
( i(op_b) = mult(i(c2),op_a)
| ~ spl0_21 ),
inference(superposition,[],[f673,f15747]) ).
fof(f15812,plain,
( e = op_a
| op_a = c4
| c2 = mult(c2,i(op_b))
| op_b = mult(c2,i(op_b))
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29 ),
inference(forward_demodulation,[],[f15806,f15747]) ).
fof(f15813,plain,
( op_a = mult(c2,c4)
| c2 = i(op_b)
| op_b = i(op_b)
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f15805,f4227]) ).
fof(f15814,plain,
( op_a = c4
| c2 = mult(c2,i(op_b))
| op_b = mult(c2,i(op_b))
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f15812,f2499]) ).
fof(f15815,plain,
( op_a = mult(c2,c4)
| op_b = i(op_b)
| ~ spl0_11
| ~ spl0_21
| spl0_26
| ~ spl0_29
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f15813,f3180]) ).
fof(f15816,plain,
( op_a = c2
| op_a = c4
| op_b = mult(c2,i(op_b))
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31 ),
inference(forward_demodulation,[],[f15814,f15747]) ).
fof(f15817,plain,
( op_a = mult(c2,c4)
| ~ spl0_11
| ~ spl0_21
| spl0_26
| ~ spl0_29
| spl0_49
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f15815,f4223]) ).
fof(f15818,plain,
( op_a = c4
| op_b = mult(c2,i(op_b))
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f15816,f1068]) ).
fof(f15819,plain,
( op_a = op_b
| op_a = c4
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33 ),
inference(forward_demodulation,[],[f15818,f15747]) ).
fof(f15820,plain,
( op_a = c4
| ~ spl0_11
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f15819,f5947]) ).
fof(f15846,plain,
( op_a = mult(c2,op_a)
| ~ spl0_11
| ~ spl0_21
| spl0_26
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_49
| spl0_50
| spl0_53 ),
inference(backward_demodulation,[],[f15817,f15820]) ).
fof(f15847,plain,
( spl0_55
| ~ spl0_11
| ~ spl0_21
| spl0_26
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_49
| spl0_50
| spl0_53 ),
inference(avatar_split_clause,[],[f15846,f5946,f4226,f4222,f1067,f1058,f1050,f992,f720,f170,f10283]) ).
fof(f15851,plain,
( i(c2) = mult(op_a,i(op_a))
| ~ spl0_55 ),
inference(superposition,[],[f1491,f10285]) ).
fof(f15852,plain,
( op_a = mult(i(c2),op_a)
| ~ spl0_55 ),
inference(superposition,[],[f673,f10285]) ).
fof(f15854,plain,
( op_a = i(op_b)
| ~ spl0_21
| ~ spl0_55 ),
inference(backward_demodulation,[],[f15809,f15852]) ).
fof(f15855,plain,
( e = i(c2)
| ~ spl0_55 ),
inference(forward_demodulation,[],[f15851,f12]) ).
fof(f15888,plain,
( e = mult(op_b,op_a)
| ~ spl0_21
| ~ spl0_55 ),
inference(superposition,[],[f12,f15854]) ).
fof(f15896,plain,
( $false
| spl0_12
| ~ spl0_21
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f15888,f304]) ).
fof(f15897,plain,
( spl0_12
| ~ spl0_21
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f15896]) ).
fof(f15922,plain,
( op_b = i(c2)
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1008,f1052]) ).
fof(f15925,plain,
( c2 = mult(i(c2),op_a)
| ~ spl0_21
| ~ spl0_26
| ~ spl0_29 ),
inference(backward_demodulation,[],[f15809,f8386]) ).
fof(f15930,plain,
( mult(op_b,op_a) = c2
| ~ spl0_21
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f15925,f15922]) ).
fof(f15935,plain,
( $false
| spl0_3
| ~ spl0_21
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f15930,f54]) ).
fof(f15936,plain,
( spl0_3
| ~ spl0_21
| ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f15935]) ).
fof(f16005,plain,
( ! [X0] :
( e = X0
| c4 = X0
| c2 = X0
| c1 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f160]) ).
fof(f16069,plain,
( ! [X0] :
( c4 = X0
| e = X0
| op_b = X0
| c2 = X0 )
| ~ spl0_8
| ~ spl0_28 ),
inference(forward_demodulation,[],[f16005,f1048]) ).
fof(f16149,plain,
( op_a = c4
| e = mult(c2,i(op_b))
| op_b = mult(c2,i(op_b))
| c2 = mult(c2,i(op_b))
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28 ),
inference(superposition,[],[f15747,f16069]) ).
fof(f16153,plain,
( e = op_a
| op_a = c4
| op_b = mult(c2,i(op_b))
| c2 = mult(c2,i(op_b))
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f16149,f15747]) ).
fof(f16163,plain,
( op_a = c4
| op_b = mult(c2,i(op_b))
| c2 = mult(c2,i(op_b))
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f16153,f1413]) ).
fof(f16173,plain,
( op_a = op_b
| op_a = c4
| c2 = mult(c2,i(op_b))
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32 ),
inference(forward_demodulation,[],[f16163,f15747]) ).
fof(f16191,plain,
( op_a = c4
| c2 = mult(c2,i(op_b))
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f16173,f5947]) ).
fof(f16192,plain,
( op_a = c2
| op_a = c4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_53 ),
inference(forward_demodulation,[],[f16191,f15747]) ).
fof(f16193,plain,
( op_a = c4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f16192,f1068]) ).
fof(f16199,plain,
( op_a != mult(op_b,op_a)
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_44
| spl0_53 ),
inference(backward_demodulation,[],[f4123,f16193]) ).
fof(f16202,plain,
( ! [X0] :
( c2 = X0
| e = X0
| op_b = X0
| op_a = X0 )
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(backward_demodulation,[],[f16069,f16193]) ).
fof(f16305,plain,
( c2 != c2
| e = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(superposition,[],[f54,f16202]) ).
fof(f16313,plain,
( e = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(trivial_inequality_removal,[],[f16305]) ).
fof(f16314,plain,
( op_b = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f16313,f304]) ).
fof(f16323,plain,
( op_a = mult(op_b,op_a)
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f16314,f13793]) ).
fof(f16332,plain,
( $false
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_44
| spl0_53
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f16323,f16199]) ).
fof(f16333,plain,
( spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_44
| spl0_53
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f16332]) ).
fof(f16361,plain,
( op_a != mult(op_b,op_a)
| ~ spl0_30
| spl0_55 ),
inference(backward_demodulation,[],[f10284,f1056]) ).
fof(f16394,plain,
( ! [X0] :
( e = X0
| c3 = X0
| c2 = X0
| c4 = X0 )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f13207,f172]) ).
fof(f16410,plain,
( ! [X0] :
( op_b = X0
| c4 = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_30 ),
inference(forward_demodulation,[],[f16,f1056]) ).
fof(f16444,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c3 = X0
| op_b = X0 )
| ~ spl0_11
| ~ spl0_30 ),
inference(forward_demodulation,[],[f16394,f1056]) ).
fof(f16552,plain,
( c4 != c4
| e = mult(op_a,op_b)
| mult(op_a,op_b) = c3
| op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| ~ spl0_30 ),
inference(superposition,[],[f59,f16444]) ).
fof(f16553,plain,
( e = mult(op_a,op_b)
| mult(op_a,op_b) = c3
| op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f16552]) ).
fof(f16554,plain,
( mult(op_a,op_b) = c3
| op_b = mult(op_a,op_b)
| spl0_4
| ~ spl0_11
| spl0_22
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f16553,f727]) ).
fof(f16555,plain,
( mult(op_a,op_b) = c3
| spl0_4
| ~ spl0_11
| spl0_21
| spl0_22
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f16554,f7362]) ).
fof(f16556,plain,
( spl0_13
| spl0_4
| ~ spl0_11
| spl0_21
| spl0_22
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f16555,f1054,f726,f720,f170,f57,f307]) ).
fof(f16678,plain,
( e = i(op_b)
| ~ spl0_30
| ~ spl0_55 ),
inference(forward_demodulation,[],[f15855,f1056]) ).
fof(f16683,plain,
( spl0_50
| ~ spl0_30
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f16678,f10283,f1054,f4226]) ).
fof(f16774,definition,
( spl0_71
<=> op_a = c4 ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f16775,plain,
( op_a = c4
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f16774]) ).
fof(f16776,plain,
( op_a != c4
| spl0_71 ),
inference(avatar_component_clause,[],[f16774]) ).
fof(f16778,plain,
( e = op_a
| ~ spl0_11
| ~ spl0_30
| spl0_32
| spl0_53
| spl0_71 ),
inference(unit_resulting_resolution,[],[f16444,f5947,f1064,f16776]) ).
fof(f16780,plain,
( $false
| ~ spl0_11
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f16778,f2499]) ).
fof(f16781,plain,
( ~ spl0_11
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53
| spl0_71 ),
inference(avatar_contradiction_clause,[],[f16780]) ).
fof(f16798,plain,
( ! [X0] :
( c3 = X0
| e = X0
| op_a = X0
| op_b = X0 )
| ~ spl0_11
| ~ spl0_30
| ~ spl0_71 ),
inference(backward_demodulation,[],[f16444,f16775]) ).
fof(f16812,plain,
( i(c3) = mult(op_b,i(op_b))
| ~ spl0_66 ),
inference(superposition,[],[f1491,f14763]) ).
fof(f16816,plain,
( e = i(c3)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f16812,f12]) ).
fof(f16817,plain,
( spl0_24
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f16816,f14761,f983]) ).
fof(f16822,plain,
( op_b = mult(i(c3),c3)
| ~ spl0_59 ),
inference(superposition,[],[f673,f12340]) ).
fof(f16824,plain,
( e = op_b
| ~ spl0_59 ),
inference(forward_demodulation,[],[f16822,f674]) ).
fof(f16826,plain,
( $false
| spl0_34
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f16824,f1072]) ).
fof(f16827,plain,
( spl0_34
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f16826]) ).
fof(f16909,plain,
( c3 != c3
| e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_2
| ~ spl0_11
| ~ spl0_30
| ~ spl0_71 ),
inference(superposition,[],[f50,f16798]) ).
fof(f16915,plain,
( e = mult(op_b,op_a)
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_2
| ~ spl0_11
| ~ spl0_30
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f16909]) ).
fof(f16916,plain,
( op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_30
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f16915,f304]) ).
fof(f16928,plain,
( op_b = mult(op_b,op_a)
| spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_30
| spl0_55
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f16916,f16361]) ).
fof(f16937,plain,
( $false
| spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f16928,f13793]) ).
fof(f16938,plain,
( spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f16937]) ).
fof(f17078,plain,
( ! [X0] :
( e = X0
| c1 = X0
| c2 = X0
| c4 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f13207,f160]) ).
fof(f17083,plain,
( ! [X0] :
( op_a = X0
| op_b = X0
| c3 = X0
| c1 = X0 )
| ~ spl0_30
| ~ spl0_71 ),
inference(forward_demodulation,[],[f16410,f16775]) ).
fof(f17134,plain,
( ! [X0] :
( c4 = X0
| e = X0
| c1 = X0
| op_b = X0 )
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f17078,f1056]) ).
fof(f17138,plain,
( ! [X0] :
( c1 = X0
| op_a = X0
| op_b = X0
| e = X0 )
| ~ spl0_8
| ~ spl0_30
| ~ spl0_71 ),
inference(forward_demodulation,[],[f17083,f160]) ).
fof(f17217,plain,
( c1 != c1
| op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| ~ spl0_30
| ~ spl0_71 ),
inference(superposition,[],[f46,f17138]) ).
fof(f17225,plain,
( op_a = mult(op_b,op_a)
| op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| ~ spl0_30
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f17217]) ).
fof(f17226,plain,
( op_b = mult(op_b,op_a)
| e = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| ~ spl0_30
| spl0_55
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f17225,f16361]) ).
fof(f17235,plain,
( e = mult(op_b,op_a)
| spl0_1
| ~ spl0_8
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f17226,f13793]) ).
fof(f17244,plain,
( $false
| spl0_1
| ~ spl0_8
| spl0_12
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f17235,f304]) ).
fof(f17245,plain,
( spl0_1
| ~ spl0_8
| spl0_12
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f17244]) ).
fof(f17347,plain,
( e = op_a
| ~ spl0_8
| ~ spl0_30
| spl0_31
| spl0_53
| spl0_71 ),
inference(unit_resulting_resolution,[],[f17134,f5947,f1059,f16776]) ).
fof(f17349,plain,
( $false
| ~ spl0_8
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f17347,f1413]) ).
fof(f17350,plain,
( ~ spl0_8
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53
| spl0_71 ),
inference(avatar_contradiction_clause,[],[f17349]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s5,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f196]) ).
cnf(s7,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(sat_conversion,[],[f198]) ).
cnf(s8,plain,
( spl0_1
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f310]) ).
cnf(s16,plain,
spl0_17,
inference(sat_conversion,[],[f603]) ).
cnf(s23,plain,
( spl0_4
| ~ spl0_8
| spl0_20
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f729]) ).
cnf(s25,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(sat_conversion,[],[f734]) ).
cnf(s28,plain,
( ~ spl0_12
| spl0_22 ),
inference(sat_conversion,[],[f832]) ).
cnf(s38,plain,
( ~ spl0_12
| ~ spl0_22 ),
inference(sat_conversion,[],[f905]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s56,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f1245]) ).
cnf(s62,plain,
( spl0_12
| ~ spl0_22 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_31
| spl0_34 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s76,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_35
| spl0_36
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s78,plain,
( ~ spl0_28
| ~ spl0_39 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s87,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_35 ),
inference(sat_conversion,[],[f1914]) ).
cnf(s88,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_35
| ~ spl0_38 ),
inference(sat_conversion,[],[f1930]) ).
cnf(s89,plain,
( spl0_22
| ~ spl0_30
| ~ spl0_36 ),
inference(sat_conversion,[],[f1942]) ).
cnf(s99,plain,
( ~ spl0_9
| spl0_28
| spl0_29
| spl0_34
| spl0_39 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s100,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f2232]) ).
cnf(s111,plain,
( ~ spl0_4
| spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f2393]) ).
cnf(s144,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_30
| ~ spl0_33 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s145,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f2893]) ).
cnf(s147,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f2899]) ).
cnf(s148,plain,
( ~ spl0_11
| ~ spl0_17
| ~ spl0_31
| spl0_37 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s163,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f3159]) ).
cnf(s169,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f3207]) ).
cnf(s173,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_28
| ~ spl0_31 ),
inference(sat_conversion,[],[f3309]) ).
cnf(s188,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_36
| ~ spl0_38 ),
inference(sat_conversion,[],[f3368]) ).
cnf(s190,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_36 ),
inference(sat_conversion,[],[f3471]) ).
cnf(s191,plain,
( spl0_12
| ~ spl0_28
| ~ spl0_35 ),
inference(sat_conversion,[],[f3494]) ).
cnf(s193,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_30
| spl0_32 ),
inference(sat_conversion,[],[f3543]) ).
cnf(s194,plain,
( ~ spl0_8
| ~ spl0_29
| spl0_34 ),
inference(sat_conversion,[],[f3545]) ).
cnf(s201,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f3611]) ).
cnf(s208,plain,
~ spl0_34,
inference(sat_conversion,[],[f3734]) ).
cnf(s219,plain,
( ~ spl0_9
| ~ spl0_30
| spl0_34 ),
inference(sat_conversion,[],[f3772]) ).
cnf(s221,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_32
| spl0_34 ),
inference(sat_conversion,[],[f3799]) ).
cnf(s223,plain,
( ~ spl0_2
| ~ spl0_13 ),
inference(sat_conversion,[],[f3881]) ).
cnf(s224,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_28
| spl0_37 ),
inference(sat_conversion,[],[f3884]) ).
cnf(s235,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_35
| spl0_37
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f4060]) ).
cnf(s236,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_40 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s239,plain,
( ~ spl0_9
| ~ spl0_28
| spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f4198]) ).
cnf(s240,plain,
( ~ spl0_9
| ~ spl0_28
| spl0_39
| ~ spl0_41
| ~ spl0_45
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f4229]) ).
cnf(s242,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s247,plain,
( spl0_6
| ~ spl0_46 ),
inference(sat_conversion,[],[f4347]) ).
cnf(s248,plain,
( ~ spl0_13
| ~ spl0_28
| spl0_31
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f4370]) ).
cnf(s257,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f4596]) ).
cnf(s264,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_28
| ~ spl0_31 ),
inference(sat_conversion,[],[f4722]) ).
cnf(s289,plain,
( ~ spl0_9
| ~ spl0_33 ),
inference(sat_conversion,[],[f4979]) ).
cnf(s296,plain,
( ~ spl0_1
| ~ spl0_20 ),
inference(sat_conversion,[],[f5048]) ).
cnf(s320,plain,
( ~ spl0_13
| ~ spl0_29
| spl0_37 ),
inference(sat_conversion,[],[f5435]) ).
cnf(s321,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f5437]) ).
cnf(s323,plain,
( spl0_1
| ~ spl0_9
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| spl0_44
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f5563]) ).
cnf(s324,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_20
| ~ spl0_29
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_47 ),
inference(sat_conversion,[],[f5582]) ).
cnf(s327,plain,
( ~ spl0_44
| spl0_50 ),
inference(sat_conversion,[],[f5595]) ).
cnf(s336,plain,
( ~ spl0_20
| ~ spl0_31
| spl0_34 ),
inference(sat_conversion,[],[f5709]) ).
cnf(s352,plain,
~ spl0_53,
inference(sat_conversion,[],[f6016]) ).
cnf(s357,plain,
( spl0_1
| spl0_2
| ~ spl0_9
| spl0_12
| spl0_33
| ~ spl0_39 ),
inference(sat_conversion,[],[f6040]) ).
cnf(s358,plain,
( ~ spl0_9
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(sat_conversion,[],[f6086]) ).
cnf(s360,plain,
( spl0_22
| ~ spl0_31
| ~ spl0_51 ),
inference(sat_conversion,[],[f6269]) ).
cnf(s361,plain,
( spl0_43
| ~ spl0_48 ),
inference(sat_conversion,[],[f6277]) ).
cnf(s362,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_43
| ~ spl0_48 ),
inference(sat_conversion,[],[f6296]) ).
cnf(s367,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_31
| ~ spl0_39 ),
inference(sat_conversion,[],[f6488]) ).
cnf(s382,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_20
| spl0_22
| ~ spl0_32
| ~ spl0_39 ),
inference(sat_conversion,[],[f6685]) ).
cnf(s383,plain,
( ~ spl0_13
| ~ spl0_32
| spl0_34 ),
inference(sat_conversion,[],[f6752]) ).
cnf(s401,plain,
( ~ spl0_29
| ~ spl0_32
| spl0_53 ),
inference(sat_conversion,[],[f6864]) ).
cnf(s420,plain,
( ~ spl0_8
| spl0_28
| spl0_30
| spl0_34
| spl0_39 ),
inference(sat_conversion,[],[f7295]) ).
cnf(s439,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_37
| spl0_53 ),
inference(sat_conversion,[],[f7634]) ).
cnf(s440,plain,
( ~ spl0_6
| ~ spl0_30
| spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f7647]) ).
cnf(s441,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_28
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(sat_conversion,[],[f7651]) ).
cnf(s448,plain,
( ~ spl0_21
| ~ spl0_30
| spl0_37 ),
inference(sat_conversion,[],[f7703]) ).
cnf(s487,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_28 ),
inference(sat_conversion,[],[f7992]) ).
cnf(s494,plain,
( ~ spl0_6
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_37
| spl0_53 ),
inference(sat_conversion,[],[f8275]) ).
cnf(s512,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_29
| ~ spl0_33 ),
inference(sat_conversion,[],[f8615]) ).
cnf(s527,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_30
| ~ spl0_32 ),
inference(sat_conversion,[],[f8873]) ).
cnf(s565,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(sat_conversion,[],[f9471]) ).
cnf(s570,plain,
( spl0_6
| spl0_8
| spl0_9
| spl0_11
| ~ spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f9473]) ).
cnf(s574,plain,
( spl0_4
| ~ spl0_11
| spl0_13
| spl0_21
| spl0_22
| ~ spl0_32 ),
inference(sat_conversion,[],[f9480]) ).
cnf(s579,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f9485]) ).
cnf(s628,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_30
| ~ spl0_32 ),
inference(sat_conversion,[],[f9972]) ).
cnf(s630,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_30
| ~ spl0_32 ),
inference(sat_conversion,[],[f9993]) ).
cnf(s654,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_28
| ~ spl0_32 ),
inference(sat_conversion,[],[f10485]) ).
cnf(s655,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_32 ),
inference(sat_conversion,[],[f10502]) ).
cnf(s658,plain,
( ~ spl0_6
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_37
| spl0_53 ),
inference(sat_conversion,[],[f10659]) ).
cnf(s659,plain,
( ~ spl0_6
| spl0_24
| spl0_26
| ~ spl0_28
| ~ spl0_33
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f10775]) ).
cnf(s667,plain,
( spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_28
| ~ spl0_33
| spl0_50 ),
inference(sat_conversion,[],[f10845]) ).
cnf(s671,plain,
( spl0_34
| ~ spl0_50 ),
inference(sat_conversion,[],[f10877]) ).
cnf(s674,plain,
( ~ spl0_2
| spl0_12
| ~ spl0_24 ),
inference(sat_conversion,[],[f10903]) ).
cnf(s680,plain,
( ~ spl0_6
| spl0_22
| ~ spl0_28
| ~ spl0_33
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f11029]) ).
cnf(s684,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| spl0_32
| ~ spl0_33
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f11107]) ).
cnf(s685,plain,
( ~ spl0_26
| ~ spl0_33
| spl0_40 ),
inference(sat_conversion,[],[f11111]) ).
cnf(s687,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_33
| ~ spl0_49
| spl0_54 ),
inference(sat_conversion,[],[f11127]) ).
cnf(s689,plain,
( spl0_13
| ~ spl0_33
| ~ spl0_40
| ~ spl0_49
| ~ spl0_54 ),
inference(sat_conversion,[],[f11141]) ).
cnf(s693,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_33
| ~ spl0_36
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f11220]) ).
cnf(s701,plain,
( ~ spl0_6
| spl0_28
| spl0_29
| spl0_30
| spl0_34 ),
inference(sat_conversion,[],[f11438]) ).
cnf(s729,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_29 ),
inference(sat_conversion,[],[f11664]) ).
cnf(s742,plain,
( ~ spl0_6
| spl0_13
| spl0_20
| spl0_21
| spl0_22
| ~ spl0_29
| ~ spl0_31 ),
inference(sat_conversion,[],[f11832]) ).
cnf(s744,plain,
( spl0_1
| spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_21
| ~ spl0_29
| ~ spl0_31 ),
inference(sat_conversion,[],[f11844]) ).
cnf(s794,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f12265]) ).
cnf(s796,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f12285]) ).
cnf(s799,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_36
| spl0_37
| ~ spl0_42
| ~ spl0_49
| spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f12341]) ).
cnf(s800,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_42
| ~ spl0_49
| ~ spl0_58 ),
inference(sat_conversion,[],[f12348]) ).
cnf(s802,plain,
( ~ spl0_6
| spl0_24
| spl0_25
| ~ spl0_30
| ~ spl0_31
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f12364]) ).
cnf(s803,plain,
( ~ spl0_25
| ~ spl0_31
| spl0_40 ),
inference(sat_conversion,[],[f12381]) ).
cnf(s806,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_25
| ~ spl0_31
| ~ spl0_40
| ~ spl0_49 ),
inference(sat_conversion,[],[f12557]) ).
cnf(s841,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_6
| spl0_12
| ~ spl0_29
| ~ spl0_33 ),
inference(sat_conversion,[],[f12841]) ).
cnf(s842,plain,
( ~ spl0_3
| ~ spl0_33
| spl0_50 ),
inference(sat_conversion,[],[f12855]) ).
cnf(s858,plain,
( ~ spl0_20
| ~ spl0_28
| spl0_37 ),
inference(sat_conversion,[],[f12880]) ).
cnf(s876,plain,
( ~ spl0_43
| spl0_48 ),
inference(sat_conversion,[],[f13034]) ).
cnf(s900,plain,
~ spl0_37,
inference(sat_conversion,[],[f13262]) ).
cnf(s934,plain,
( spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_31
| spl0_32
| ~ spl0_39 ),
inference(sat_conversion,[],[f13633]) ).
cnf(s938,plain,
( spl0_6
| spl0_8
| spl0_9
| spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f13641]) ).
cnf(s944,plain,
( ~ spl0_11
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(sat_conversion,[],[f13790]) ).
cnf(s945,plain,
( spl0_2
| spl0_3
| ~ spl0_11
| spl0_12
| ~ spl0_39
| spl0_64 ),
inference(sat_conversion,[],[f13795]) ).
cnf(s951,plain,
( ~ spl0_11
| spl0_29
| spl0_30
| spl0_34
| spl0_39 ),
inference(sat_conversion,[],[f14092]) ).
cnf(s975,plain,
( ~ spl0_8
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_39
| spl0_53 ),
inference(sat_conversion,[],[f14262]) ).
cnf(s976,plain,
( spl0_1
| spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_33
| ~ spl0_39
| spl0_64 ),
inference(sat_conversion,[],[f14392]) ).
cnf(s977,plain,
( ~ spl0_8
| spl0_32
| ~ spl0_64 ),
inference(sat_conversion,[],[f14402]) ).
cnf(s984,plain,
( ~ spl0_11
| spl0_31
| ~ spl0_64 ),
inference(sat_conversion,[],[f14484]) ).
cnf(s986,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_33
| ~ spl0_39
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f14684]) ).
cnf(s992,plain,
( ~ spl0_11
| ~ spl0_33
| ~ spl0_39
| spl0_59
| spl0_65
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f14768]) ).
cnf(s993,plain,
( spl0_43
| ~ spl0_65 ),
inference(sat_conversion,[],[f14778]) ).
cnf(s995,plain,
( spl0_13
| ~ spl0_42
| ~ spl0_49
| ~ spl0_67 ),
inference(sat_conversion,[],[f14801]) ).
cnf(s997,plain,
( ~ spl0_11
| spl0_24
| spl0_26
| ~ spl0_33
| ~ spl0_39
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f14835]) ).
cnf(s1032,plain,
( spl0_1
| ~ spl0_28
| ~ spl0_64 ),
inference(sat_conversion,[],[f14915]) ).
cnf(s1040,plain,
( ~ spl0_21
| ~ spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f15120]) ).
cnf(s1055,plain,
( spl0_4
| ~ spl0_11
| spl0_13
| spl0_21
| spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f15592]) ).
cnf(s1056,plain,
( spl0_3
| ~ spl0_11
| spl0_12
| ~ spl0_21
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_44
| ~ spl0_49
| spl0_53
| spl0_64 ),
inference(sat_conversion,[],[f15727]) ).
cnf(s1068,plain,
( ~ spl0_11
| ~ spl0_21
| spl0_26
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_49
| spl0_50
| spl0_53
| spl0_55 ),
inference(sat_conversion,[],[f15847]) ).
cnf(s1072,plain,
( spl0_12
| ~ spl0_21
| ~ spl0_55 ),
inference(sat_conversion,[],[f15897]) ).
cnf(s1077,plain,
( spl0_3
| ~ spl0_21
| ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f15936]) ).
cnf(s1133,plain,
( spl0_3
| ~ spl0_8
| spl0_12
| ~ spl0_21
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_44
| spl0_53
| spl0_64 ),
inference(sat_conversion,[],[f16333]) ).
cnf(s1173,plain,
( spl0_4
| ~ spl0_11
| spl0_13
| spl0_21
| spl0_22
| ~ spl0_30 ),
inference(sat_conversion,[],[f16556]) ).
cnf(s1177,plain,
( ~ spl0_30
| spl0_50
| ~ spl0_55 ),
inference(sat_conversion,[],[f16683]) ).
cnf(s1185,plain,
( ~ spl0_11
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53
| spl0_71 ),
inference(sat_conversion,[],[f16781]) ).
cnf(s1186,plain,
( spl0_24
| ~ spl0_66 ),
inference(sat_conversion,[],[f16817]) ).
cnf(s1187,plain,
( spl0_34
| ~ spl0_59 ),
inference(sat_conversion,[],[f16827]) ).
cnf(s1198,plain,
( spl0_2
| ~ spl0_11
| spl0_12
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(sat_conversion,[],[f16938]) ).
cnf(s1249,plain,
( spl0_1
| ~ spl0_8
| spl0_12
| ~ spl0_30
| spl0_55
| spl0_64
| ~ spl0_71 ),
inference(sat_conversion,[],[f17245]) ).
cnf(s1250,plain,
( ~ spl0_8
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53
| spl0_71 ),
inference(sat_conversion,[],[f17350]) ).
cnf(s1251,plain,
( ~ spl0_20
| ~ spl0_28 ),
inference(rat,[],[s858,s900]) ).
cnf(s1253,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31
| spl0_36
| ~ spl0_42
| ~ spl0_49
| spl0_58
| spl0_59 ),
inference(rat,[],[s799,s900]) ).
cnf(s1254,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_28
| spl0_32
| ~ spl0_33
| spl0_35
| spl0_36
| ~ spl0_42
| ~ spl0_49 ),
inference(rat,[],[s684,s900]) ).
cnf(s1255,plain,
( ~ spl0_6
| ~ spl0_28
| spl0_32
| spl0_33
| spl0_53 ),
inference(rat,[],[s658,s900]) ).
cnf(s1268,plain,
( ~ spl0_6
| ~ spl0_29
| spl0_31
| spl0_33
| spl0_53 ),
inference(rat,[],[s494,s900]) ).
cnf(s1269,plain,
( ~ spl0_21
| ~ spl0_30 ),
inference(rat,[],[s448,s900]) ).
cnf(s1270,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_30
| spl0_31
| spl0_32
| spl0_53 ),
inference(rat,[],[s439,s900]) ).
cnf(s1276,plain,
( ~ spl0_13
| ~ spl0_29 ),
inference(rat,[],[s320,s900]) ).
cnf(s1279,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_28
| spl0_35
| spl0_40
| spl0_41 ),
inference(rat,[],[s235,s900]) ).
cnf(s1280,plain,
( spl0_4
| ~ spl0_9
| spl0_13
| spl0_22
| ~ spl0_28 ),
inference(rat,[],[s224,s900]) ).
cnf(s1282,plain,
~ spl0_59,
inference(rat,[],[s1187,s208]) ).
cnf(s1283,plain,
~ spl0_50,
inference(rat,[],[s671,s208]) ).
cnf(s1284,plain,
~ spl0_44,
inference(rat,[],[s327,s1283]) ).
cnf(s1285,plain,
( ~ spl0_8
| ~ spl0_29 ),
inference(rat,[],[s194,s208]) ).
cnf(s1287,plain,
( ~ spl0_11
| ~ spl0_17
| ~ spl0_31 ),
inference(rat,[],[s148,s900]) ).
cnf(s1288,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_31
| spl0_32
| spl0_33 ),
inference(rat,[],[s145,s208]) ).
cnf(s1291,plain,
( ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s111,s900]) ).
cnf(s1293,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_31
| spl0_32
| spl0_33 ),
inference(rat,[],[s100,s208]) ).
cnf(s1294,plain,
( ~ spl0_9
| spl0_28
| spl0_29
| spl0_39 ),
inference(rat,[],[s99,s208]) ).
cnf(s1297,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_35
| spl0_36
| spl0_38 ),
inference(rat,[],[s76,s900]) ).
cnf(s1298,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_31 ),
inference(rat,[],[s71,s208]) ).
cnf(s1304,plain,
( ~ spl0_30
| spl0_21
| spl0_20
| ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1270,s794,s527,s8,s28,s25,s1,s16,s352]) ).
cnf(s1305,plain,
( ~ spl0_29
| spl0_21
| spl0_20
| spl0_13
| spl0_22
| ~ spl0_6 ),
inference(rat,[],[s1268,s512,s742,s352]) ).
cnf(s1306,plain,
( spl0_21
| spl0_20
| ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1255,s667,s654,s701,s1305,s1304,s8,s28,s25,s1,s352,s1283,s208]) ).
cnf(s1307,plain,
( ~ spl0_28
| spl0_33
| ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1255,s655,s28,s25,s1,s352]) ).
cnf(s1308,plain,
( ~ spl0_21
| ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1268,s744,s701,s1307,s1269,s1040,s28,s25,s1,s352,s208]) ).
cnf(s1309,plain,
( ~ spl0_30
| ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1270,s628,s28,s25,s1,s336,s1306,s1308,s16,s352,s208]) ).
cnf(s1310,plain,
( ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1268,s841,s701,s1309,s336,s1251,s1306,s1308,s28,s25,s1,s352,s208]) ).
cnf(s1311,plain,
( ~ spl0_11
| ~ spl0_30
| spl0_12
| spl0_4
| spl0_2 ),
inference(rat,[],[s1198,s1185,s984,s383,s1287,s1173,s62,s1177,s1269,s352,s208,s16,s1283]) ).
cnf(s1312,plain,
( ~ spl0_30
| spl0_12
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1250,s1249,s336,s977,s23,s565,s938,s1311,s219,s1269,s1177,s1,s1310,s62,s352,s208,s16,s1283]) ).
cnf(s1313,plain,
( ~ spl0_11
| spl0_33
| spl0_32
| spl0_31
| spl0_29
| spl0_30 ),
inference(rat,[],[s944,s951,s352,s208]) ).
cnf(s1314,plain,
( spl0_33
| spl0_32
| spl0_31
| spl0_8
| spl0_28
| spl0_29
| spl0_30
| spl0_6 ),
inference(rat,[],[s1294,s358,s938,s1313,s352,s16]) ).
cnf(s1315,plain,
( ~ spl0_11
| spl0_31
| spl0_29
| spl0_30
| spl0_12
| spl0_3
| spl0_2 ),
inference(rat,[],[s945,s984,s951,s208]) ).
cnf(s1316,plain,
( ~ spl0_9
| spl0_28
| spl0_29
| spl0_12
| spl0_2
| spl0_1 ),
inference(rat,[],[s357,s1294,s289]) ).
cnf(s1317,plain,
( ~ spl0_11
| spl0_29
| spl0_30
| spl0_12
| spl0_3
| spl0_2 ),
inference(rat,[],[s1315,s1287,s16]) ).
cnf(s1318,plain,
( ~ spl0_8
| ~ spl0_39
| spl0_1
| spl0_3
| spl0_12
| spl0_32 ),
inference(rat,[],[s976,s975,s977,s934,s352]) ).
cnf(s1319,plain,
( spl0_28
| spl0_29
| spl0_12
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1318,s420,s565,s938,s1316,s1310,s1317,s1312,s208,s16]) ).
cnf(s1320,plain,
( ~ spl0_9
| spl0_31
| spl0_35
| ~ spl0_28
| spl0_22
| spl0_46
| spl0_4
| spl0_2 ),
inference(rat,[],[s240,s257,s242,s239,s248,s1279,s236,s383,s1280,s289,s78,s1283,s1284,s208]) ).
cnf(s1321,plain,
( ~ spl0_8
| spl0_64
| ~ spl0_28
| spl0_12
| spl0_4
| spl0_3 ),
inference(rat,[],[s1133,s1040,s23,s565,s62,s1251,s1284,s352,s208]) ).
cnf(s1322,plain,
( spl0_29
| spl0_12
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s264,s1320,s1280,s938,s1321,s191,s1032,s1319,s1317,s1,s247,s1310,s62,s1312,s16]) ).
cnf(s1323,plain,
( ~ spl0_11
| spl0_31
| ~ spl0_29
| spl0_12
| spl0_4
| spl0_3 ),
inference(rat,[],[s1068,s1056,s1077,s1040,s1072,s984,s1055,s62,s1276,s1283,s352,s1284,s208]) ).
cnf(s1324,plain,
( spl0_31
| ~ spl0_29
| spl0_12
| spl0_6
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s324,s323,s321,s289,s938,s1323,s247,s62,s401,s1276,s1285,s1284,s16,s352]) ).
cnf(s1325,plain,
( spl0_12
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s938,s321,s1287,s336,s1324,s1285,s1276,s1322,s62,s1,s1310,s16,s208]) ).
cnf(s1326,plain,
~ spl0_12,
inference(rat,[],[s28,s38]) ).
cnf(s1327,plain,
~ spl0_22,
inference(rat,[],[s62,s1326]) ).
cnf(s1328,plain,
( ~ spl0_48
| ~ spl0_2 ),
inference(rat,[],[s362,s361,s223]) ).
cnf(s1329,plain,
( ~ spl0_42
| ~ spl0_28
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1254,s693,s223,s191,s680,s1255,s221,s1328,s1283,s1327,s352,s208,s16,s1326]) ).
cnf(s1330,plain,
( ~ spl0_28
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s689,s685,s687,s659,s1329,s680,s1255,s223,s221,s674,s876,s1328,s1327,s1283,s352,s1326,s208,s16]) ).
cnf(s1331,plain,
( ~ spl0_42
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1253,s800,s89,s440,s360,s1270,s221,s1328,s701,s1330,s729,s223,s1282,s208,s1283,s1327,s352,s16]) ).
cnf(s1332,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s806,s803,s802,s1331,s440,s360,s1270,s701,s1330,s221,s674,s729,s223,s876,s1328,s1283,s1327,s16,s352,s208,s1326]) ).
cnf(s1333,plain,
( ~ spl0_39
| ~ spl0_9
| ~ spl0_31
| spl0_13 ),
inference(rat,[],[s367,s1291,s336,s1327,s208]) ).
cnf(s1334,plain,
( ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s1280,s173,s1294,s1333,s938,s1287,s729,s223,s201,s1332,s1327,s16,s1326]) ).
cnf(s1335,plain,
( ~ spl0_30
| ~ spl0_2 ),
inference(rat,[],[s144,s147,s1173,s938,s219,s1269,s223,s221,s201,s1332,s1334,s1327,s16,s208,s1326]) ).
cnf(s1336,plain,
( ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s689,s685,s687,s997,s995,s986,s992,s951,s938,s289,s729,s223,s201,s1186,s674,s993,s876,s1328,s1332,s1335,s1326,s1283,s1282,s208,s16]) ).
cnf(s1337,plain,
~ spl0_2,
inference(rat,[],[s1293,s1280,s938,s1314,s1313,s1336,s1335,s1334,s1332,s201,s729,s221,s223,s1327,s16,s1326,s208]) ).
cnf(s1338,plain,
( ~ spl0_31
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s1305,s1276,s701,s1255,s796,s56,s336,s842,s579,s7,s1327,s208,s352,s1283]) ).
cnf(s1339,plain,
( ~ spl0_30
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s1270,s630,s5,s1338,s16,s352]) ).
cnf(s1340,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s654,s383,s1255,s1251,s701,s1339,s1268,s1338,s842,s579,s1327,s208,s352,s1283]) ).
cnf(s1341,plain,
( ~ spl0_31
| ~ spl0_3 ),
inference(rat,[],[s191,s1297,s420,s188,s1291,s190,s23,s938,s796,s1287,s336,s579,s169,s1340,s1326,s208,s1327,s16]) ).
cnf(s1342,plain,
( ~ spl0_30
| ~ spl0_3 ),
inference(rat,[],[s193,s565,s938,s163,s169,s1340,s1341,s16,s1326]) ).
cnf(s1343,plain,
( spl0_32
| spl0_29
| ~ spl0_3 ),
inference(rat,[],[s1297,s188,s190,s23,s191,s1251,s420,s975,s938,s1313,s842,s579,s169,s1340,s1341,s1342,s1327,s1326,s208,s352,s16,s1283]) ).
cnf(s1344,plain,
( spl0_29
| ~ spl0_3 ),
inference(rat,[],[s1291,s574,s951,s570,s383,s565,s1343,s579,s169,s1340,s1342,s1327,s208,s16,s1326]) ).
cnf(s1345,plain,
~ spl0_3,
inference(rat,[],[s1288,s1055,s938,s1285,s1276,s401,s1344,s1341,s1340,s169,s579,s842,s1327,s16,s352,s1326,s1283]) ).
cnf(s1346,plain,
spl0_1,
inference(rat,[],[s1325,s1337,s1326,s1345]) ).
cnf(s1347,plain,
~ spl0_20,
inference(rat,[],[s296,s1346]) ).
cnf(s1348,plain,
~ spl0_31,
inference(rat,[],[s1298,s16,s1346]) ).
cnf(s1349,plain,
~ spl0_11,
inference(rat,[],[s75,s1326,s1346]) ).
cnf(s1351,plain,
~ spl0_28,
inference(rat,[],[s487,s1346,s1347]) ).
cnf(s1352,plain,
( ~ spl0_30
| spl0_21
| ~ spl0_6
| ~ spl0_32 ),
inference(rat,[],[s383,s527,s1327,s1347,s208]) ).
cnf(s1353,plain,
( ~ spl0_30
| ~ spl0_6 ),
inference(rat,[],[s1352,s441,s1269,s1346,s1351,s1348,s352]) ).
cnf(s1354,plain,
( spl0_30
| ~ spl0_6 ),
inference(rat,[],[s1040,s1305,s1268,s1276,s45,s1351,s1346,s352,s1348,s1347,s1327,s208]) ).
cnf(s1355,plain,
~ spl0_6,
inference(rat,[],[s1354,s1353]) ).
cnf(s1358,plain,
~ spl0_30,
inference(rat,[],[s1297,s88,s87,s23,s938,s89,s219,s1269,s1346,s1347,s1327,s1349,s1355,s16,s208]) ).
cnf(s1359,plain,
( spl0_8
| spl0_29
| spl0_32 ),
inference(rat,[],[s289,s1314,s938,s1348,s1358,s1351,s1355,s1349,s16]) ).
cnf(s1360,plain,
( ~ spl0_8
| spl0_32 ),
inference(rat,[],[s1040,s23,s975,s1291,s420,s208,s1347,s1327,s1348,s352,s1351,s1358]) ).
cnf(s1361,plain,
spl0_32,
inference(rat,[],[s321,s1276,s1293,s289,s1359,s938,s1360,s1327,s1347,s1348,s1349,s1355,s16]) ).
cnf(s1363,plain,
~ spl0_8,
inference(rat,[],[s565,s1361]) ).
cnf(s1365,plain,
~ spl0_29,
inference(rat,[],[s401,s352,s1361]) ).
cnf(s1366,plain,
~ spl0_13,
inference(rat,[],[s383,s208,s1361]) ).
cnf(s1369,plain,
spl0_9,
inference(rat,[],[s570,s1361,s16,s1355,s1349,s1363]) ).
cnf(s1373,plain,
spl0_39,
inference(rat,[],[s1294,s1351,s1365,s1369]) ).
cnf(s1375,plain,
~ spl0_4,
inference(rat,[],[s1291,s1373]) ).
cnf(s1376,plain,
$false,
inference(rat,[],[s382,s1366,s1361,s1327,s1347,s1369,s1375,s1373]) ).
fof(f17351,plain,
$false,
inference(avatar_sat_refutation,[],[s1376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP759+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:41:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.69/2.26 % (608673)Detected formulas, will run a generic FOF schedule.
% 9.69/2.26 % (608680)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3104218051:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.69/2.26 % (608678)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1146754535:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.69/2.26 % (608681)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1908912803:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.69/2.26 % (608682)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=409107351:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.69/2.26 % (608679)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=367792275:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.69/2.26 % (608684)dis-21_1_sil=8000:lcm=predicate:random_seed=2144180690:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.69/2.26 % (608683)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2577551747:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.69/2.26 % (608682)Refutation not found, incomplete strategy
% 9.69/2.26 % (608682)------------------------------
% 9.69/2.26 % (608682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (608682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (608682)CaDiCaL version: 2.1.3
% 9.69/2.26 % (608681)Refutation not found, incomplete strategy
% 9.69/2.26 % (608681)------------------------------
% 9.69/2.26 % (608681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (608682)Termination reason: Refutation not found, incomplete strategy
% 9.69/2.26 % (608682)Time elapsed: 0.0000 s
% 9.69/2.26 % (608682)Peak memory usage: 86 MB
% 9.69/2.26 % (608681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (608681)CaDiCaL version: 2.1.3
% 9.69/2.26 % (608681)Termination reason: Refutation not found, incomplete strategy
% 9.69/2.26 % (608681)Time elapsed: 0.0000 s
% 9.69/2.26 % (608681)Peak memory usage: 86 MB
% 9.69/2.26 % (608684)Refutation not found, incomplete strategy
% 9.69/2.26 % (608684)------------------------------
% 9.69/2.26 % (608684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (608684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (608684)CaDiCaL version: 2.1.3
% 9.69/2.26 % (608684)Termination reason: Refutation not found, incomplete strategy
% 9.69/2.26 % (608684)Time elapsed: 0.001 s
% 9.69/2.26 % (608684)Peak memory usage: 88 MB
% 9.69/2.26 % (608683)Instruction limit reached!
% 9.69/2.26 % (608683)------------------------------
% 9.69/2.26 % (608683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (608683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (608683)CaDiCaL version: 2.1.3
% 9.69/2.26 % (608683)Termination reason: Instruction limit
% 9.69/2.26 % (608683)Termination phase: Saturation
% 9.69/2.26 % (608683)Time elapsed: 0.083 s
% 9.69/2.26 % (608683)Peak memory usage: 89 MB
% 9.69/2.26 % (608683)Instructions burned: 140 (million)
% 9.69/2.26 % (608684)------------------------------
% 9.69/2.26 % (608684)------------------------------
% 9.69/2.26 % (608681)------------------------------
% 9.69/2.26 % (608681)------------------------------
% 9.69/2.26 % (608682)------------------------------
% 9.69/2.26 % (608682)------------------------------
% 9.69/2.26 % (608692)lrs+10_1_sil=8000:sp=occurrence:random_seed=3279894575:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.69/2.26 % (608692)Refutation not found, incomplete strategy
% 9.69/2.26 % (608692)------------------------------
% 9.69/2.26 % (608692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (608692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (608692)CaDiCaL version: 2.1.3
% 9.69/2.26 % (608692)Termination reason: Refutation not found, incomplete strategy
% 9.69/2.26 % (608692)Time elapsed: 0.001 s
% 9.69/2.26 % (608692)Peak memory usage: 86 MB
% 11.32/2.54 % (608680)Refutation not found, incomplete strategy
% 11.32/2.54 % (608680)------------------------------
% 11.32/2.54 % (608680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.54 % (608680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.54 % (608680)CaDiCaL version: 2.1.3
% 11.32/2.54 % (608680)Termination reason: Refutation not found, incomplete strategy
% 11.32/2.54 % (608680)Time elapsed: 0.306 s
% 11.32/2.54 % (608680)Peak memory usage: 127 MB
% 11.32/2.54 % (608680)Instructions burned: 823 (million)
% 11.32/2.54 % (608694)lrs+10_1_sil=32000:urr=on:br=off:random_seed=502897589:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 11.32/2.54 % (608695)lrs+1011_1_sil=32000:sp=occurrence:random_seed=383106286:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.32/2.54 % (608696)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1415711702:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.32/2.54 % (608695)Refutation not found, incomplete strategy
% 11.32/2.54 % (608695)------------------------------
% 11.32/2.54 % (608695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.54 % (608694)Refutation not found, incomplete strategy
% 11.32/2.54 % (608694)------------------------------
% 11.32/2.54 % (608694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.54 % (608695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.54 % (608695)CaDiCaL version: 2.1.3
% 11.32/2.54 % (608694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.54 % (608695)Termination reason: Refutation not found, incomplete strategy
% 11.32/2.54 % (608695)Time elapsed: 0.001 s
% 11.32/2.54 % (608695)Peak memory usage: 86 MB
% 11.32/2.54 % (608694)CaDiCaL version: 2.1.3
% 11.32/2.54 % (608694)Termination reason: Refutation not found, incomplete strategy
% 11.32/2.54 % (608694)Time elapsed: 0.001 s
% 11.32/2.54 % (608694)Peak memory usage: 87 MB
% 11.32/2.54 % (608680)------------------------------
% 11.32/2.54 % (608680)------------------------------
% 11.32/2.54 % (608692)------------------------------
% 11.32/2.54 % (608692)------------------------------
% 11.32/2.54 % (608700)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1825770184:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.32/2.54 % (608696)Instruction limit reached!
% 11.32/2.54 % (608696)------------------------------
% 11.32/2.54 % (608696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.54 % (608696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.54 % (608696)CaDiCaL version: 2.1.3
% 11.32/2.54 % (608696)Termination reason: Instruction limit
% 11.32/2.54 % (608696)Termination phase: Saturation
% 11.32/2.54 % (608696)Time elapsed: 0.133 s
% 11.32/2.54 % (608696)Peak memory usage: 90 MB
% 11.32/2.54 % (608696)Instructions burned: 248 (million)
% 11.32/2.54 % (608700)Refutation not found, incomplete strategy
% 11.32/2.54 % (608700)------------------------------
% 11.32/2.54 % (608700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.54 % (608700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.54 % (608700)CaDiCaL version: 2.1.3
% 11.32/2.54 % (608700)Termination reason: Refutation not found, incomplete strategy
% 11.32/2.54 % (608700)Time elapsed: 0.0000 s
% 11.32/2.54 % (608700)Peak memory usage: 86 MB
% 11.32/2.54 % (608701)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3899346378:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.32/2.54 % (608695)------------------------------
% 11.32/2.54 % (608695)------------------------------
% 11.32/2.54 % (608694)------------------------------
% 11.32/2.54 % (608694)------------------------------
% 11.32/2.54 % (608700)------------------------------
% 11.32/2.54 % (608700)------------------------------
% 11.32/2.54 % (608703)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2800284899:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.32/2.54 % (608703)Refutation not found, incomplete strategy
% 11.32/2.54 % (608703)------------------------------
% 11.32/2.54 % (608703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.54 % (608703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.54 % (608703)CaDiCaL version: 2.1.3
% 12.16/2.61 % (608703)Termination reason: Refutation not found, incomplete strategy
% 12.16/2.61 % (608703)Time elapsed: 0.001 s
% 12.16/2.61 % (608703)Peak memory usage: 88 MB
% 12.16/2.61 % (608706)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2326126028:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.16/2.61 % (608705)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3570445791:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.16/2.61 % (608705)Refutation not found, incomplete strategy
% 12.16/2.61 % (608705)------------------------------
% 12.16/2.61 % (608705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.61 % (608705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.61 % (608705)CaDiCaL version: 2.1.3
% 12.16/2.61 % (608705)Termination reason: Refutation not found, incomplete strategy
% 12.16/2.61 % (608705)Time elapsed: 0.001 s
% 12.16/2.61 % (608705)Peak memory usage: 87 MB
% 12.16/2.61 % (608707)lrs+10_1_sil=8000:sp=occurrence:random_seed=908826866:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.16/2.61 % (608707)Refutation not found, incomplete strategy
% 12.16/2.61 % (608707)------------------------------
% 12.16/2.61 % (608707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.61 % (608707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.61 % (608707)CaDiCaL version: 2.1.3
% 12.16/2.61 % (608707)Termination reason: Refutation not found, incomplete strategy
% 12.16/2.61 % (608707)Time elapsed: 0.0000 s
% 12.16/2.61 % (608707)Peak memory usage: 86 MB
% 12.16/2.61 % (608706)Instruction limit reached!
% 12.16/2.61 % (608706)------------------------------
% 12.16/2.61 % (608706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.61 % (608706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.61 % (608706)CaDiCaL version: 2.1.3
% 12.16/2.61 % (608706)Termination reason: Instruction limit
% 12.16/2.61 % (608706)Termination phase: Saturation
% 12.16/2.61 % (608706)Time elapsed: 0.066 s
% 12.16/2.61 % (608706)Peak memory usage: 88 MB
% 12.16/2.61 % (608706)Instructions burned: 114 (million)
% 12.16/2.61 % (608703)------------------------------
% 12.16/2.61 % (608703)------------------------------
% 12.16/2.61 % (608707)------------------------------
% 12.16/2.61 % (608707)------------------------------
% 12.16/2.61 % (608712)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3725321341:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 12.16/2.61 % (608712)Refutation not found, incomplete strategy
% 12.16/2.61 % (608712)------------------------------
% 12.16/2.61 % (608712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.61 % (608712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.61 % (608712)CaDiCaL version: 2.1.3
% 12.16/2.61 % (608712)Termination reason: Refutation not found, incomplete strategy
% 12.16/2.61 % (608712)Time elapsed: 0.001 s
% 12.16/2.61 % (608712)Peak memory usage: 88 MB
% 12.16/2.61 % (608705)------------------------------
% 12.16/2.61 % (608705)------------------------------
% 12.16/2.61 % (608714)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=606179639:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 12.16/2.61 % (608714)Refutation not found, incomplete strategy
% 12.16/2.61 % (608714)------------------------------
% 12.16/2.61 % (608714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.61 % (608714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.61 % (608714)CaDiCaL version: 2.1.3
% 12.16/2.61 % (608714)Termination reason: Refutation not found, incomplete strategy
% 12.16/2.61 % (608714)Time elapsed: 0.001 s
% 12.16/2.61 % (608714)Peak memory usage: 89 MB
% 12.16/2.61 % (608714)Instructions burned: 1 (million)
% 12.16/2.61 % (608713)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1021044450:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.16/2.61 % (608716)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1312511982:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.16/2.61 % (608716)Refutation not found, incomplete strategy
% 12.16/2.61 % (608716)------------------------------
% 12.16/2.61 % (608716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.63/3.00 % (608716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/3.00 % (608716)CaDiCaL version: 2.1.3
% 14.63/3.00 % (608716)Termination reason: Refutation not found, incomplete strategy
% 14.63/3.00 % (608716)Time elapsed: 0.001 s
% 14.63/3.00 % (608716)Peak memory usage: 86 MB
% 14.63/3.00 % (608714)------------------------------
% 14.63/3.00 % (608714)------------------------------
% 14.63/3.00 % (608712)------------------------------
% 14.63/3.00 % (608712)------------------------------
% 14.63/3.00 % (608720)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3055385597:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 14.63/3.00 % (608721)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2360136305:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 14.63/3.00 % (608721)Refutation not found, incomplete strategy
% 14.63/3.00 % (608721)------------------------------
% 14.63/3.00 % (608721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.63/3.00 % (608721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/3.00 % (608721)CaDiCaL version: 2.1.3
% 14.63/3.00 % (608721)Termination reason: Refutation not found, incomplete strategy
% 14.63/3.00 % (608721)Time elapsed: 0.001 s
% 14.63/3.00 % (608721)Peak memory usage: 87 MB
% 14.63/3.00 % (608716)------------------------------
% 14.63/3.00 % (608716)------------------------------
% 14.63/3.00 [W927 10:41:34.984394227 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984432437 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984469984 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984483717 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984510017 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984521597 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984546494 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984557744 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 14.63/3.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 14.63/3.00 [W927 10:41:34.984581597 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.984592774 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.984623348 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.984691121 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055255637 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055282377 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055303160 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055309400 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055323307 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055329951 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055343401 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055349805 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055363248 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.87/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.87/3.60 [W927 10:41:34.055369838 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 30.71/5.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.71/5.18 [W927 10:41:34.055383027 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 30.71/5.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.71/5.18 [W927 10:41:34.055389437 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 30.71/5.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.71/5.18 % (608724)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3378814483:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 30.71/5.18 % (608720)Refutation not found, incomplete strategy
% 30.71/5.18 % (608720)------------------------------
% 30.71/5.18 % (608720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608720)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608720)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608720)Time elapsed: 0.301 s
% 30.71/5.18 % (608720)Peak memory usage: 125 MB
% 30.71/5.18 % (608720)Instructions burned: 822 (million)
% 30.71/5.18 % (608713)Refutation not found, incomplete strategy
% 30.71/5.18 % (608713)------------------------------
% 30.71/5.18 % (608713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608713)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608713)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608713)Time elapsed: 0.558 s
% 30.71/5.18 % (608713)Peak memory usage: 125 MB
% 30.71/5.18 % (608713)Instructions burned: 822 (million)
% 30.71/5.18 % (608721)------------------------------
% 30.71/5.18 % (608721)------------------------------
% 30.71/5.18 % (608724)Instruction limit reached!
% 30.71/5.18 % (608724)------------------------------
% 30.71/5.18 % (608724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608724)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608724)Termination reason: Instruction limit
% 30.71/5.18 % (608724)Termination phase: Saturation
% 30.71/5.18 % (608724)Time elapsed: 0.080 s
% 30.71/5.18 % (608724)Peak memory usage: 90 MB
% 30.71/5.18 % (608724)Instructions burned: 134 (million)
% 30.71/5.18 % (608720)------------------------------
% 30.71/5.18 % (608720)------------------------------
% 30.71/5.18 % (608726)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=683644829:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 30.71/5.18 % (608726)Refutation not found, incomplete strategy
% 30.71/5.18 % (608726)------------------------------
% 30.71/5.18 % (608726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608726)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608726)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608726)Time elapsed: 0.001 s
% 30.71/5.18 % (608726)Peak memory usage: 86 MB
% 30.71/5.18 % (608727)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3238714855:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 30.71/5.18 % (608727)Refutation not found, incomplete strategy
% 30.71/5.18 % (608727)------------------------------
% 30.71/5.18 % (608727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608727)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608727)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608727)Time elapsed: 0.0000 s
% 30.71/5.18 % (608727)Peak memory usage: 86 MB
% 30.71/5.18 % (608713)------------------------------
% 30.71/5.18 % (608713)------------------------------
% 30.71/5.18 % (608728)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1055400880:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 30.71/5.18 % (608731)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=476057581:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 30.71/5.18 % (608727)------------------------------
% 30.71/5.18 % (608727)------------------------------
% 30.71/5.18 % (608726)------------------------------
% 30.71/5.18 % (608726)------------------------------
% 30.71/5.18 % (608701)Instruction limit reached!
% 30.71/5.18 % (608701)------------------------------
% 30.71/5.18 % (608701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608701)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608701)Termination reason: Instruction limit
% 30.71/5.18 % (608701)Termination phase: Saturation
% 30.71/5.18 % (608701)Time elapsed: 1.480 s
% 30.71/5.18 % (608701)Peak memory usage: 134 MB
% 30.71/5.18 % (608701)Instructions burned: 2351 (million)
% 30.71/5.18 % (608731)Instruction limit reached!
% 30.71/5.18 % (608731)------------------------------
% 30.71/5.18 % (608731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608731)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608731)Termination reason: Instruction limit
% 30.71/5.18 % (608731)Termination phase: Saturation
% 30.71/5.18 % (608731)Time elapsed: 0.065 s
% 30.71/5.18 % (608731)Peak memory usage: 89 MB
% 30.71/5.18 % (608731)Instructions burned: 152 (million)
% 30.71/5.18 % (608734)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2095945768:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 30.71/5.18 % (608735)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3005250963:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 30.71/5.18 % (608735)Refutation not found, incomplete strategy
% 30.71/5.18 % (608735)------------------------------
% 30.71/5.18 % (608735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608735)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608735)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608735)Time elapsed: 0.001 s
% 30.71/5.18 % (608735)Peak memory usage: 87 MB
% 30.71/5.18 % (608736)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1304605555:s2a=on:i=185:s2at=1.8:fdi=4_2976 on theBenchmark for (2976ds/185Mi)
% 30.71/5.18 % (608737)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4037195522:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2976 on theBenchmark for (2976ds/193Mi)
% 30.71/5.18 % (608737)Refutation not found, incomplete strategy
% 30.71/5.18 % (608737)------------------------------
% 30.71/5.18 % (608737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608737)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608737)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608737)Time elapsed: 0.001 s
% 30.71/5.18 % (608737)Peak memory usage: 86 MB
% 30.71/5.18 % (608736)Instruction limit reached!
% 30.71/5.18 % (608736)------------------------------
% 30.71/5.18 % (608736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608736)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608736)Termination reason: Instruction limit
% 30.71/5.18 % (608736)Termination phase: Saturation
% 30.71/5.18 % (608736)Time elapsed: 0.104 s
% 30.71/5.18 % (608736)Peak memory usage: 90 MB
% 30.71/5.18 % (608736)Instructions burned: 185 (million)
% 30.71/5.18 % (608735)------------------------------
% 30.71/5.18 % (608735)------------------------------
% 30.71/5.18 % (608742)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2955278967:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2974 on theBenchmark for (2974ds/4850Mi)
% 30.71/5.18 % (608742)Refutation not found, incomplete strategy
% 30.71/5.18 % (608742)------------------------------
% 30.71/5.18 % (608742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608742)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608742)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608742)Time elapsed: 0.001 s
% 30.71/5.18 % (608742)Peak memory usage: 87 MB
% 30.71/5.18 % (608737)------------------------------
% 30.71/5.18 % (608737)------------------------------
% 30.71/5.18 % (608743)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3099494011:i=12111:sd=1:ss=included_2972 on theBenchmark for (2972ds/12111Mi)
% 30.71/5.18 % (608745)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4209053762:i=319:kws=precedence:fsr=off_2972 on theBenchmark for (2972ds/319Mi)
% 30.71/5.18 % (608742)------------------------------
% 30.71/5.18 % (608742)------------------------------
% 30.71/5.18 % (608745)Instruction limit reached!
% 30.71/5.18 % (608745)------------------------------
% 30.71/5.18 % (608745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608745)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608745)Termination reason: Instruction limit
% 30.71/5.18 % (608745)Termination phase: Saturation
% 30.71/5.18 % (608745)Time elapsed: 0.184 s
% 30.71/5.18 % (608745)Peak memory usage: 91 MB
% 30.71/5.18 % (608745)Instructions burned: 319 (million)
% 30.71/5.18 % (608748)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=889253620:i=2064:ep=RST_2969 on theBenchmark for (2969ds/2064Mi)
% 30.71/5.18 % (608748)Refutation not found, incomplete strategy
% 30.71/5.18 % (608748)------------------------------
% 30.71/5.18 % (608748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608748)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608748)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608748)Time elapsed: 0.001 s
% 30.71/5.18 % (608748)Peak memory usage: 88 MB
% 30.71/5.18 % (608749)dis-1011_128_sil=32000:random_seed=2043843020:i=3706:ep=RST:av=off_2968 on theBenchmark for (2968ds/3706Mi)
% 30.71/5.18 % (608748)------------------------------
% 30.71/5.18 % (608748)------------------------------
% 30.71/5.18 % (608752)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=4000567235:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2966 on theBenchmark for (2966ds/757Mi)
% 30.71/5.18 % (608752)Refutation not found, incomplete strategy
% 30.71/5.18 % (608752)------------------------------
% 30.71/5.18 % (608752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608752)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608752)Termination reason: Refutation not found, incomplete strategy
% 30.71/5.18 % (608752)Time elapsed: 0.001 s
% 30.71/5.18 % (608752)Peak memory usage: 86 MB
% 30.71/5.18 % (608752)------------------------------
% 30.71/5.18 % (608752)------------------------------
% 30.71/5.18 % (608754)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3426407418:i=13913:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/13913Mi)
% 30.71/5.18 % (608734)First to succeed.
% 30.71/5.18 % (608734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-608673"
% 30.71/5.18 % (608728)Instruction limit reached!
% 30.71/5.18 % (608728)------------------------------
% 30.71/5.18 % (608728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.71/5.18 % (608728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/5.18 % (608728)CaDiCaL version: 2.1.3
% 30.71/5.18 % (608728)Termination reason: Instruction limit
% 30.71/5.18 % (608728)Termination phase: Saturation
% 30.71/5.18 % (608728)Time elapsed: 2.066 s
% 30.71/5.18 % (608728)Peak memory usage: 149 MB
% 30.71/5.18 % (608728)Instructions burned: 6061 (million)
% 30.71/5.18 % (608734)Refutation found. Thanks to Tanya!
% 30.71/5.18 % SZS status Unsatisfiable for theBenchmark
% 30.71/5.18 % SZS output start Proof for theBenchmark
% See solution above
% 31.22/5.37 % (608734)------------------------------
% 31.22/5.37 % (608734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.22/5.37 % (608734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.22/5.37 % (608734)CaDiCaL version: 2.1.3
% 31.22/5.37 % (608734)Termination reason: Refutation
% 31.22/5.37 % (608734)Time elapsed: 1.613 s
% 31.22/5.37 % (608734)Peak memory usage: 137 MB
% 31.22/5.37 % (608734)Instructions burned: 2582 (million)
% 31.22/5.37 % (608734)------------------------------
% 31.22/5.37 % (608734)------------------------------
% 31.22/5.37 % (608673)Success in time 4.334 s
% 31.22/5.37 % Vampire exiting
%------------------------------------------------------------------------------