%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP357-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 10:13:44 AM UTC 2026
% Result : Unsatisfiable 3.07s 1.34s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 48
% Syntax : Number of formulae : 358 ( 18 unt; 14 def)
% Number of atoms : 1446 ( 360 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2097 (1009 ~;1074 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = inverse(sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = inverse(sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c2 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(sk_c8,X3) != sk_c7
| multiply(X4,sk_c8) != X3
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != inverse(sk_c8)
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != inverse(sk_c8)
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X0,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != inverse(sk_c8)
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f67]) ).
fof(f70,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f71,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl0_4
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_5
<=> sk_c6 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f84,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( sk_c6 != inverse(sk_c8)
| spl0_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f88,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f68,f87,f83,f80,f76,f73,f70]) ).
fof(f92,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f94,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f98,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f96,f92]) ).
fof(f101,definition,
( spl0_9
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f102,plain,
( sk_c5 != multiply(sk_c4,sk_c8)
| spl0_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f96,f101]) ).
fof(f106,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f108,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f60,f96,f106]) ).
fof(f111,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f113,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f96,f111]) ).
fof(f116,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f118,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f96,f116]) ).
fof(f120,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f96,f76]) ).
fof(f122,definition,
( spl0_13
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f124,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f122,f92]) ).
fof(f126,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f122,f101]) ).
fof(f127,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f122,f106]) ).
fof(f128,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f122,f111]) ).
fof(f129,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f122,f116]) ).
fof(f130,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f122,f76]) ).
fof(f132,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f134,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f132,f92]) ).
fof(f136,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f132,f101]) ).
fof(f137,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f132,f106]) ).
fof(f138,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f132,f111]) ).
fof(f139,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f132,f116]) ).
fof(f140,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f132,f76]) ).
fof(f141,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f83,f92]) ).
fof(f142,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f83,f101]) ).
fof(f143,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f83,f106]) ).
fof(f144,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f83,f111]) ).
fof(f145,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f83,f116]) ).
fof(f146,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f83,f76]) ).
fof(f147,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f87,f92]) ).
fof(f148,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f87,f101]) ).
fof(f149,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f87,f106]) ).
fof(f150,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f87,f111]) ).
fof(f151,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f87,f116]) ).
fof(f152,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f87,f76]) ).
fof(f153,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f3,f94]) ).
fof(f154,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f113]) ).
fof(f157,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f108]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f118]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f103]) ).
fof(f162,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f157,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f153]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f169,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f166,f103]) ).
fof(f175,plain,
( sk_c7 = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f169,f108]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f160,f175]) ).
fof(f187,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f161,f77]) ).
fof(f197,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f187,f175]) ).
fof(f209,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f183,f154]) ).
fof(f226,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f162,f159]) ).
fof(f228,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f162,f154]) ).
fof(f230,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f162,f108]) ).
fof(f231,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f162,f153]) ).
fof(f232,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f162,f118]) ).
fof(f245,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f232,f175]) ).
fof(f246,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f230,f175]) ).
fof(f249,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f226,f175]) ).
fof(f251,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f245,f113]) ).
fof(f252,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f246,f3]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f249,f162]) ).
fof(f255,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f209,f252]) ).
fof(f264,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f251]) ).
fof(f266,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f264,f3]) ).
fof(f274,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f255]) ).
fof(f277,plain,
( sk_c5 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f274,f113]) ).
fof(f278,plain,
( sk_c7 = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f277,f108]) ).
fof(f279,plain,
( sk_c8 = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f278,f175]) ).
fof(f288,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f228,f252]) ).
fof(f289,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f288,f279]) ).
fof(f290,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f289,f3]) ).
fof(f291,plain,
( sk_c8 = sk_c3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f290,f266]) ).
fof(f292,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f113,f291]) ).
fof(f303,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f231,f252]) ).
fof(f304,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f303,f279]) ).
fof(f305,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f304,f3]) ).
fof(f306,plain,
( sk_c5 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f305,f252]) ).
fof(f307,plain,
( sk_c8 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f306,f279]) ).
fof(f320,plain,
( sk_c6 != sk_c8
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f85,f292]) ).
fof(f333,plain,
( sk_c8 = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f197,f253]) ).
fof(f334,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f333,f307]) ).
fof(f336,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c5,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f161,f334]) ).
fof(f340,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f336,f253]) ).
fof(f342,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f340,f307]) ).
fof(f345,plain,
( sk_c6 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f342,f251]) ).
fof(f346,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f345,f320]) ).
fof(f347,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f348,plain,
( sk_c6 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f84,f292]) ).
fof(f349,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f89,f175]) ).
fof(f350,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f349,f334]) ).
fof(f351,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f353,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f88,f175]) ).
fof(f361,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f3,f84]) ).
fof(f362,plain,
( sk_c5 = multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f361,f252]) ).
fof(f364,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f124]) ).
fof(f366,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_14 ),
inference(superposition,[],[f162,f134]) ).
fof(f367,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f134]) ).
fof(f368,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f366,f124]) ).
fof(f370,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f162,f353]) ).
fof(f372,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f370,f3]) ).
fof(f374,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f372,f252]) ).
fof(f386,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f362,f374]) ).
fof(f388,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f162,f386]) ).
fof(f390,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f388,f3]) ).
fof(f479,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f230,f84]) ).
fof(f482,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f231,f84]) ).
fof(f483,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f162,f88]) ).
fof(f484,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f88]) ).
fof(f486,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f162,f98]) ).
fof(f487,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f98]) ).
fof(f492,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_13 ),
inference(superposition,[],[f162,f364]) ).
fof(f495,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f484,f361]) ).
fof(f500,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f367,f368]) ).
fof(f501,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f368]) ).
fof(f503,plain,
( identity = sk_c8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f501,f3]) ).
fof(f504,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f500,f134]) ).
fof(f518,plain,
( sk_c4 = multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f482,f503]) ).
fof(f558,plain,
( sk_c1 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f492,f503]) ).
fof(f559,plain,
( sk_c7 = sk_c1
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f558,f486]) ).
fof(f562,plain,
( sk_c8 = multiply(sk_c7,sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f134,f559]) ).
fof(f587,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f562]) ).
fof(f589,plain,
( sk_c6 = sk_c2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f587,f483]) ).
fof(f592,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c7,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f495,f503]) ).
fof(f593,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f592,f504]) ).
fof(f608,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f487,f593]) ).
fof(f612,plain,
( sk_c2 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f608,f368]) ).
fof(f614,plain,
( sk_c8 = sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f612,f504]) ).
fof(f645,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f486,f614]) ).
fof(f648,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f645,f3]) ).
fof(f652,plain,
( sk_c7 = sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f648,f503]) ).
fof(f655,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f361,f518]) ).
fof(f660,plain,
( sk_c8 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f655,f503]) ).
fof(f662,plain,
( sk_c5 != multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f102,f660]) ).
fof(f667,plain,
( sk_c8 != sk_c5
| ~ spl0_5
| ~ spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f662,f504]) ).
fof(f683,plain,
( sk_c6 = sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f589,f614]) ).
fof(f684,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f78,f652]) ).
fof(f699,plain,
( sk_c6 != sk_c8
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f684,f504]) ).
fof(f708,plain,
( multiply(sk_c8,sk_c7) = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f479,f683]) ).
fof(f717,plain,
( sk_c5 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f708,f652]) ).
fof(f719,plain,
( sk_c8 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f717,f504]) ).
fof(f720,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f719,f667]) ).
fof(f721,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f722,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f699,f683]) ).
fof(f723,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f724,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f74,f652]) ).
fof(f729,plain,
( sk_c8 != sk_c2
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f724,f124]) ).
fof(f730,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f729,f614]) ).
fof(f733,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f730,f559]) ).
fof(f738,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f733,f593]) ).
fof(f739,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f740,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f71,f652]) ).
fof(f743,plain,
( sk_c8 != sk_c2
| sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f740,f124]) ).
fof(f744,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f743,f614]) ).
fof(f747,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c7,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f744,f559]) ).
fof(f750,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f747,f593]) ).
fof(f755,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f750,f504]) ).
fof(f756,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f757,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f81,f652]) ).
fof(f765,plain,
( sk_c8 != inverse(identity)
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f757,f1]) ).
fof(f767,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f765,f503]) ).
fof(f771,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f767,f84]) ).
fof(f775,plain,
( sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f771,f683]) ).
fof(f781,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f775,f503]) ).
fof(f784,plain,
( identity != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f781,f3]) ).
fof(f785,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f784,f503]) ).
fof(f786,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f800,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f77,f348]) ).
fof(f802,plain,
( sk_c5 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f103,f307]) ).
fof(f807,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f353,f348]) ).
fof(f812,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f800]) ).
fof(f814,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f812,f3]) ).
fof(f816,plain,
( sk_c7 = sk_c8
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f814,f390]) ).
fof(f848,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f74,f816]) ).
fof(f849,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f848,f84]) ).
fof(f856,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f849,f348]) ).
fof(f861,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f856,f807]) ).
fof(f862,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f863,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c8) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f81,f816]) ).
fof(f867,plain,
( sk_c8 != inverse(identity)
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f863,f1]) ).
fof(f869,plain,
( sk_c8 != inverse(sk_c5)
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f867,f252]) ).
fof(f873,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f869,f279]) ).
fof(f877,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f873,f84]) ).
fof(f883,plain,
( sk_c8 != multiply(inverse(identity),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f877,f348]) ).
fof(f886,plain,
( sk_c8 != multiply(inverse(sk_c5),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f883,f252]) ).
fof(f887,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f886,f279]) ).
fof(f888,plain,
( identity != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f887,f3]) ).
fof(f889,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f888,f390]) ).
fof(f890,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f891,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f71,f816]) ).
fof(f892,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f891,f84]) ).
fof(f899,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f892,f348]) ).
fof(f902,plain,
( sk_c8 != multiply(sk_c8,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f899,f802]) ).
fof(f905,plain,
( sk_c7 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f902,f108]) ).
fof(f910,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f905,f816]) ).
fof(f911,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f910]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f104]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f109]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f114]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f120]) ).
cnf(s8,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s9,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s10,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s13,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s19,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s20,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f141]) ).
cnf(s21,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f142]) ).
cnf(s22,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f143]) ).
cnf(s23,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f144]) ).
cnf(s24,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f145]) ).
cnf(s25,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f146]) ).
cnf(s26,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f147]) ).
cnf(s27,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f148]) ).
cnf(s28,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f150]) ).
cnf(s30,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f151]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f152]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f347]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f351]) ).
cnf(s40,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f721]) ).
cnf(s41,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f723]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f739]) ).
cnf(s47,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f756]) ).
cnf(s51,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f786]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f862]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f890]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f911]) ).
cnf(s62,plain,
spl0_3,
inference(rat,[],[s41,s7,s13,s19,s25,s31]) ).
cnf(s63,plain,
spl0_6,
inference(rat,[],[s34,s26,s27,s28,s29,s30,s62]) ).
cnf(s64,plain,
spl0_5,
inference(rat,[],[s33,s20,s21,s22,s23,s24,s62]) ).
cnf(s65,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s51,s12,s18,s64,s63]) ).
cnf(s66,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s51,s11,s17,s64,s63]) ).
cnf(s67,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s51,s10,s16,s64,s63]) ).
cnf(s68,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s40,s9,s15,s58,s67,s66,s65,s64,s63,s62]) ).
cnf(s69,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s58,s3,s4,s5,s6,s68,s63,s64,s62]) ).
cnf(s70,plain,
~ spl0_4,
inference(rat,[],[s51,s2,s8,s14,s69,s64,s63]) ).
cnf(s71,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s44,s12,s18,s64,s63]) ).
cnf(s72,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s44,s11,s17,s64,s63]) ).
cnf(s73,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s44,s10,s16,s64,s63]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s40,s9,s15,s54,s73,s72,s71,s64,s63,s62]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s54,s3,s4,s5,s6,s74,s63,s64,s62]) ).
cnf(s76,plain,
~ spl0_2,
inference(rat,[],[s44,s2,s8,s14,s75,s64,s63]) ).
cnf(s77,plain,
spl0_1,
inference(rat,[],[s1,s63,s62,s64,s70,s76]) ).
cnf(s78,plain,
( spl0_12
| ~ spl0_8 ),
inference(rat,[],[s47,s12,s18,s64,s63,s77]) ).
cnf(s79,plain,
( spl0_11
| ~ spl0_8 ),
inference(rat,[],[s47,s11,s17,s64,s63,s77]) ).
cnf(s80,plain,
( spl0_10
| ~ spl0_8 ),
inference(rat,[],[s47,s10,s16,s64,s63,s77]) ).
cnf(s81,plain,
( ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s40,s9,s15,s61,s80,s79,s78,s64,s63,s62,s77]) ).
cnf(s82,plain,
~ spl0_7,
inference(rat,[],[s61,s3,s4,s5,s6,s81,s62,s64,s63,s77]) ).
cnf(s83,plain,
spl0_14,
inference(rat,[],[s14,s82]) ).
cnf(s84,plain,
spl0_13,
inference(rat,[],[s8,s82]) ).
cnf(s85,plain,
spl0_8,
inference(rat,[],[s2,s82]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s47,s77,s63,s64,s85,s84,s83]) ).
fof(f912,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP357-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n001.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 10:01:45 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.34 % (3316925)Input is clausal, will run a generic CNF schedule.
% 3.07/1.34 % (3316934)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3427017483:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.07/1.34 % (3316934)Instruction limit reached!
% 3.07/1.34 % (3316934)------------------------------
% 3.07/1.34 % (3316934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.34 % (3316934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.34 % (3316934)CaDiCaL version: 2.1.3
% 3.07/1.34 % (3316934)Termination reason: Instruction limit
% 3.07/1.34 % (3316934)Termination phase: Saturation
% 3.07/1.34 % (3316934)Time elapsed: 0.036 s
% 3.07/1.34 % (3316934)Peak memory usage: 89 MB
% 3.07/1.34 % (3316934)Instructions burned: 116 (million)
% 3.07/1.34 % (3316932)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2048712700:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.07/1.34 % (3316930)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=1082065683:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.07/1.34 % (3316933)lrs+10_1_sil=8000:sp=occurrence:random_seed=4058506832:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.07/1.34 % (3316935)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2672237255:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.07/1.34 % (3316931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3645285402:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.07/1.34 % (3316933)Refutation not found, incomplete strategy
% 3.07/1.34 % (3316933)------------------------------
% 3.07/1.34 % (3316933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.34 % (3316933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.34 % (3316933)CaDiCaL version: 2.1.3
% 3.07/1.34 % (3316933)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.34 % (3316933)Time elapsed: 0.004 s
% 3.07/1.34 % (3316933)Peak memory usage: 88 MB
% 3.07/1.34 % (3316933)Instructions burned: 4 (million)
% 3.07/1.34 % (3316936)dis-21_1_sil=8000:lcm=predicate:random_seed=1413353063:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.07/1.34 % (3316936)Refutation not found, incomplete strategy
% 3.07/1.34 % (3316936)------------------------------
% 3.07/1.34 % (3316936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.34 % (3316936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.34 % (3316936)CaDiCaL version: 2.1.3
% 3.07/1.34 % (3316936)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.34 % (3316936)Time elapsed: 0.002 s
% 3.07/1.34 % (3316936)Peak memory usage: 88 MB
% 3.07/1.34 % (3316936)Instructions burned: 2 (million)
% 3.07/1.34 % (3316935)First to succeed.
% 3.07/1.34 % (3316935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3316925"
% 3.07/1.34 % (3316943)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4186075829:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.07/1.34 % (3316943)Refutation not found, incomplete strategy
% 3.07/1.34 % (3316943)------------------------------
% 3.07/1.34 % (3316943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.34 % (3316943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.34 % (3316943)CaDiCaL version: 2.1.3
% 3.07/1.34 % (3316943)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.34 % (3316943)Time elapsed: 0.002 s
% 3.07/1.34 % (3316943)Peak memory usage: 88 MB
% 3.07/1.34 % (3316943)Instructions burned: 5 (million)
% 3.07/1.34 % (3316933)------------------------------
% 3.07/1.34 % (3316933)------------------------------
% 3.07/1.34 % (3316936)------------------------------
% 3.07/1.34 % (3316936)------------------------------
% 3.07/1.34 % (3316943)------------------------------
% 3.07/1.34 % (3316943)------------------------------
% 3.07/1.34 % (3316935)Refutation found. Thanks to Tanya!
% 3.07/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.07/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.44 % (3316935)------------------------------
% 3.74/1.44 % (3316935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.44 % (3316935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.44 % (3316935)CaDiCaL version: 2.1.3
% 3.74/1.44 % (3316935)Termination reason: Refutation
% 3.74/1.44 % (3316935)Time elapsed: 0.022 s
% 3.74/1.44 % (3316935)Peak memory usage: 89 MB
% 3.74/1.44 % (3316935)Instructions burned: 34 (million)
% 3.74/1.44 % (3316935)------------------------------
% 3.74/1.44 % (3316935)------------------------------
% 3.74/1.44 % (3316925)Success in time 0.452 s
% 3.74/1.44 % Vampire exiting
%------------------------------------------------------------------------------