%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP283-1 : 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 : n019.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 10:13:32 AM UTC 2026
% Result : Unsatisfiable 2.76s 1.27s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 52
% Syntax : Number of formulae : 360 ( 22 unt; 18 def)
% Number of atoms : 1216 ( 340 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1619 ( 763 ~; 838 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 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_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c7
| multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_3
<=> sk_c6 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( sk_c6 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_4
<=> sk_c8 = multiply(sk_c7,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_5
<=> ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f96,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_6
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,definition,
( spl0_7
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f102,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f79,f101,f98,f95,f91,f87,f84,f81]) ).
fof(f106,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f110,f106]) ).
fof(f115,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f116,plain,
( sk_c6 != multiply(sk_c5,sk_c8)
| spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f110,f115]) ).
fof(f120,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f122,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f125,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f127,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f68,f110,f87]) ).
fof(f130,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f110,f91]) ).
fof(f132,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f64,f132,f106]) ).
fof(f136,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f62,f132,f115]) ).
fof(f139,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f56,f132,f87]) ).
fof(f140,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f132,f91]) ).
fof(f142,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f142,f106]) ).
fof(f146,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f142,f115]) ).
fof(f149,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f142,f87]) ).
fof(f150,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f142,f91]) ).
fof(f152,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f152,f106]) ).
fof(f156,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f152,f115]) ).
fof(f157,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f152,f120]) ).
fof(f158,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f152,f125]) ).
fof(f159,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f152,f87]) ).
fof(f160,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f152,f91]) ).
fof(f162,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f162,f106]) ).
fof(f166,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f162,f115]) ).
fof(f167,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f162,f120]) ).
fof(f168,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f162,f125]) ).
fof(f169,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f162,f87]) ).
fof(f170,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f162,f91]) ).
fof(f171,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f101,f106]) ).
fof(f172,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f101,f115]) ).
fof(f173,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f101,f120]) ).
fof(f174,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f101,f125]) ).
fof(f175,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f101,f87]) ).
fof(f176,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f101,f91]) ).
fof(f177,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f3,f88]) ).
fof(f178,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f3,f108]) ).
fof(f182,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| ~ spl0_4 ),
inference(superposition,[],[f4,f92]) ).
fof(f186,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f182,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f177]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f191,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f178]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f195,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f183,f177]) ).
fof(f199,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f190,f92]) ).
fof(f229,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_8 ),
inference(superposition,[],[f186,f178]) ).
fof(f235,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f186,f199]) ).
fof(f236,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_3 ),
inference(superposition,[],[f186,f177]) ).
fof(f237,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f186,f127]) ).
fof(f239,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f186,f117]) ).
fof(f244,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f239,f108]) ).
fof(f246,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f237,f122]) ).
fof(f247,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f235,f3]) ).
fof(f255,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f186,f244]) ).
fof(f257,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f255,f3]) ).
fof(f259,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f257,f247]) ).
fof(f277,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f229,f247]) ).
fof(f278,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f277,f3]) ).
fof(f279,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f278,f247]) ).
fof(f283,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f108,f279]) ).
fof(f287,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f236,f247]) ).
fof(f288,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f287,f259]) ).
fof(f289,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f288,f3]) ).
fof(f290,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f289,f247]) ).
fof(f293,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f103,f290]) ).
fof(f305,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f293,f259]) ).
fof(f308,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f192,f279]) ).
fof(f323,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f195,f247]) ).
fof(f324,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f323,f246]) ).
fof(f325,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f324,f290]) ).
fof(f358,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f305,f325]) ).
fof(f359,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f361,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f102,f259]) ).
fof(f362,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f361,f290]) ).
fof(f383,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f116,f279]) ).
fof(f392,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f3,f112]) ).
fof(f393,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f392,f247]) ).
fof(f395,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f154]) ).
fof(f398,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f186,f102]) ).
fof(f404,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f186,f134]) ).
fof(f406,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f404,f112]) ).
fof(f408,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_14 ),
inference(superposition,[],[f186,f144]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f144]) ).
fof(f410,plain,
( multiply(sk_c8,sk_c7) = sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f408,f283]) ).
fof(f412,plain,
( sk_c6 = sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f410,f102]) ).
fof(f413,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_16 ),
inference(superposition,[],[f186,f164]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f164]) ).
fof(f415,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f413,f154]) ).
fof(f417,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f96,f283]) ).
fof(f423,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f96,f112]) ).
fof(f424,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f423]) ).
fof(f427,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f428,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f424,f134]) ).
fof(f434,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f427,f308]) ).
fof(f435,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f428,f144]) ).
fof(f436,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f441,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f442,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f450,plain,
( ~ spl0_17
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f434,f106,f95,f91,f87,f441]) ).
fof(f453,definition,
( spl0_19
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f454,plain,
( sk_c8 = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f462,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f186,f393]) ).
fof(f464,plain,
( identity = sk_c2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f462,f3]) ).
fof(f465,plain,
( sk_c8 = sk_c2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f464,f247]) ).
fof(f466,plain,
( sk_c8 != sk_c6
| sk_c8 != inverse(identity)
| ~ spl0_1 ),
inference(superposition,[],[f82,f1]) ).
fof(f479,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f466,f247]) ).
fof(f486,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f479,f283]) ).
fof(f488,plain,
( ~ spl0_19
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f486,f106,f91,f87,f81,f453]) ).
fof(f490,plain,
( sk_c3 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f134,f465]) ).
fof(f492,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f490,f412]) ).
fof(f493,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f492,f383]) ).
fof(f494,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f498,plain,
( sk_c8 != sk_c6
| sk_c7 != multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f99,f88]) ).
fof(f501,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f99,f154]) ).
fof(f504,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f501]) ).
fof(f507,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f504,f164]) ).
fof(f508,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f514,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f498,f246]) ).
fof(f515,plain,
( ~ spl0_19
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f514,f125,f120,f98,f87,f453]) ).
fof(f543,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| ~ spl0_14 ),
inference(superposition,[],[f186,f409]) ).
fof(f550,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f144,f406]) ).
fof(f551,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f186,f406]) ).
fof(f553,plain,
( identity = sk_c3
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f551,f3]) ).
fof(f554,plain,
( spl0_17
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f550,f142,f132,f110,f441]) ).
fof(f575,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| spl0_4
| ~ spl0_19 ),
inference(superposition,[],[f93,f454]) ).
fof(f576,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f177,f454]) ).
fof(f581,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f576,f102]) ).
fof(f583,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f581,f454]) ).
fof(f589,plain,
( ! [X0] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f543,f442]) ).
fof(f590,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f414,f442]) ).
fof(f591,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f589,f186]) ).
fof(f597,plain,
( sk_c3 = multiply(sk_c8,sk_c1)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f395,f553]) ).
fof(f601,plain,
( sk_c1 = multiply(inverse(sk_c8),sk_c3)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f186,f597]) ).
fof(f625,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f415,f442]) ).
fof(f630,plain,
( sk_c3 = multiply(sk_c1,sk_c3)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f590,f597]) ).
fof(f662,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f186,f625]) ).
fof(f664,plain,
( identity = sk_c8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f662,f3]) ).
fof(f673,plain,
( sk_c3 = multiply(inverse(sk_c1),sk_c3)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f186,f630]) ).
fof(f674,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c1,multiply(sk_c3,X0))
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f4,f630]) ).
fof(f675,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f674,f591]) ).
fof(f676,plain,
( sk_c3 = multiply(sk_c8,sk_c3)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f673,f154]) ).
fof(f677,plain,
( sk_c7 = sk_c3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f676,f144]) ).
fof(f678,plain,
( sk_c8 = sk_c3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f677,f442]) ).
fof(f694,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c3)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f229,f553]) ).
fof(f695,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f694,f678]) ).
fof(f696,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f695,f3]) ).
fof(f697,plain,
( sk_c8 = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f696,f664]) ).
fof(f698,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f116,f697]) ).
fof(f702,plain,
( sk_c8 != sk_c6
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f698,f625]) ).
fof(f703,plain,
( ~ spl0_19
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f702,f441,f162,f152,f142,f132,f115,f110,f106,f453]) ).
fof(f736,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_4
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f575,f442]) ).
fof(f738,plain,
( $false
| spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f736,f625]) ).
fof(f739,plain,
( spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f740,plain,
( sk_c6 != inverse(sk_c8)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f89,f442]) ).
fof(f742,plain,
( sk_c1 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f601,f678]) ).
fof(f745,plain,
( identity = sk_c1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f742,f3]) ).
fof(f747,plain,
( sk_c8 = sk_c1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f745,f664]) ).
fof(f749,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f154,f747]) ).
fof(f770,plain,
( sk_c8 != sk_c6
| spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f740,f749]) ).
fof(f779,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f675,f747]) ).
fof(f795,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f102,f779]) ).
fof(f806,plain,
( sk_c8 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f795,f442]) ).
fof(f826,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f92,f442]) ).
fof(f827,plain,
( ~ spl0_19
| spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f770,f441,f162,f152,f142,f132,f110,f87,f453]) ).
fof(f828,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f806,f441,f162,f152,f142,f132,f110,f101,f453]) ).
fof(f829,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f826,f779]) ).
fof(f830,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f829,f441,f162,f152,f142,f132,f110,f91,f453]) ).
fof(f831,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f85,f442]) ).
fof(f844,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f831,f442]) ).
fof(f850,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f844,f154]) ).
fof(f853,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f850]) ).
fof(f869,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f479,f749]) ).
fof(f877,plain,
( ~ spl0_19
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f869,f441,f162,f152,f142,f132,f110,f91,f87,f81,f453]) ).
fof(f889,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f853,f164]) ).
fof(f892,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f259,f115,f106,f91,f87,f453]) ).
fof(f919,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f889,f442]) ).
fof(f920,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f982,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f844,f108]) ).
fof(f985,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f982]) ).
fof(f989,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f985,f279]) ).
fof(f994,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f989,f362]) ).
fof(f995,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f996,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f398,f454]) ).
fof(f1007,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f996,f3]) ).
fof(f1011,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1007,f583]) ).
fof(f1013,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1011,f453,f101,f87,f441]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s6,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f129]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f130]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s9,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s13,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s14,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s15,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s18,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s19,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s20,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s21,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s22,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s23,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s24,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s25,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s27,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s28,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s29,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s30,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s31,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s32,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f171]) ).
cnf(s33,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f172]) ).
cnf(s34,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f173]) ).
cnf(s35,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f174]) ).
cnf(s36,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f175]) ).
cnf(s37,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f176]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f359]) ).
cnf(s43,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f436]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f450]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f488]) ).
cnf(s55,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f494]) ).
cnf(s56,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f508]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f515]) ).
cnf(s59,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f554]) ).
cnf(s63,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f703]) ).
cnf(s68,plain,
( spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f739]) ).
cnf(s71,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f827]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f828]) ).
cnf(s74,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f830]) ).
cnf(s82,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f877]) ).
cnf(s89,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f892]) ).
cnf(s92,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f920]) ).
cnf(s101,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f995]) ).
cnf(s106,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s107,plain,
spl0_3,
inference(rat,[],[s71,s72,s59,s6,s12,s18,s24,s30,s36]) ).
cnf(s108,plain,
( spl0_7
| ~ spl0_4 ),
inference(rat,[],[s38,s32,s33,s34,s35,s107]) ).
cnf(s109,plain,
( spl0_12
| ~ spl0_6 ),
inference(rat,[],[s56,s23,s29]) ).
cnf(s110,plain,
( spl0_11
| ~ spl0_6 ),
inference(rat,[],[s56,s22,s28]) ).
cnf(s111,plain,
( ~ spl0_8
| spl0_19
| ~ spl0_4 ),
inference(rat,[],[s55,s3,s9,s15,s89,s108,s107]) ).
cnf(s112,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s56,s20,s26,s111,s58,s110,s109,s107]) ).
cnf(s113,plain,
( ~ spl0_8
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s106,s111,s45,s108,s107]) ).
cnf(s114,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s43,s2,s8,s14,s113]) ).
cnf(s115,plain,
( spl0_6
| ~ spl0_7
| spl0_1
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s114,s1,s107]) ).
cnf(s117,plain,
spl0_4,
inference(rat,[],[s68,s72,s59,s7,s13,s19,s25,s31,s37]) ).
cnf(s118,plain,
spl0_7,
inference(rat,[],[s108,s117]) ).
cnf(s119,plain,
~ spl0_6,
inference(rat,[],[s112,s117]) ).
cnf(s121,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s63,s3,s9,s15,s21,s27,s101,s106,s111,s107,s117,s118]) ).
cnf(s122,plain,
~ spl0_2,
inference(rat,[],[s59,s92,s2,s8,s14,s20,s26,s121]) ).
cnf(s123,plain,
spl0_1,
inference(rat,[],[s115,s122,s117,s118,s119]) ).
cnf(s124,plain,
~ spl0_8,
inference(rat,[],[s111,s53,s117,s107,s123]) ).
cnf(s125,plain,
spl0_16,
inference(rat,[],[s26,s124]) ).
cnf(s126,plain,
spl0_15,
inference(rat,[],[s20,s124]) ).
cnf(s127,plain,
spl0_14,
inference(rat,[],[s14,s124]) ).
cnf(s128,plain,
spl0_13,
inference(rat,[],[s8,s124]) ).
cnf(s129,plain,
spl0_9,
inference(rat,[],[s2,s124]) ).
cnf(s131,plain,
spl0_17,
inference(rat,[],[s59,s128,s127,s129]) ).
cnf(s132,plain,
spl0_19,
inference(rat,[],[s74,s117,s131,s125,s126,s127,s128,s129]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s82,s132,s127,s125,s126,s123,s117,s107,s128,s131,s129]) ).
fof(f1014,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP283-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.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 09:45:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.76/1.27 % (2844428)Input is clausal, will run a generic CNF schedule.
% 2.76/1.27 % (2844435)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=83242965:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.76/1.27 % (2844438)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=186633952:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.76/1.27 % (2844436)lrs+10_1_sil=8000:sp=occurrence:random_seed=1415586860:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.76/1.27 % (2844434)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2487182718:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.76/1.27 % (2844439)dis-21_1_sil=8000:lcm=predicate:random_seed=371510290: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)
% 2.76/1.27 % (2844437)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3503092824:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.76/1.27 % (2844433)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=3075201865:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.76/1.27 % (2844439)Refutation not found, incomplete strategy
% 2.76/1.27 % (2844439)------------------------------
% 2.76/1.27 % (2844439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (2844439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (2844439)CaDiCaL version: 2.1.3
% 2.76/1.27 % (2844439)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.27 % (2844439)Time elapsed: 0.002 s
% 2.76/1.27 % (2844439)Peak memory usage: 88 MB
% 2.76/1.27 % (2844439)Instructions burned: 2 (million)
% 2.76/1.27 % (2844436)Refutation not found, incomplete strategy
% 2.76/1.27 % (2844436)------------------------------
% 2.76/1.27 % (2844436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (2844436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (2844436)CaDiCaL version: 2.1.3
% 2.76/1.27 % (2844436)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.27 % (2844436)Time elapsed: 0.003 s
% 2.76/1.27 % (2844436)Peak memory usage: 88 MB
% 2.76/1.27 % (2844436)Instructions burned: 3 (million)
% 2.76/1.27 % (2844438)First to succeed.
% 2.76/1.27 % (2844438)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2844428"
% 2.76/1.27 % (2844437)Instruction limit reached!
% 2.76/1.27 % (2844437)------------------------------
% 2.76/1.27 % (2844437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (2844437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (2844437)CaDiCaL version: 2.1.3
% 2.76/1.27 % (2844437)Termination reason: Instruction limit
% 2.76/1.27 % (2844437)Termination phase: Saturation
% 2.76/1.27 % (2844437)Time elapsed: 0.065 s
% 2.76/1.27 % (2844437)Peak memory usage: 89 MB
% 2.76/1.27 % (2844437)Instructions burned: 115 (million)
% 2.76/1.27 % (2844447)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=3591704134:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.76/1.27 % (2844447)Refutation not found, incomplete strategy
% 2.76/1.27 % (2844447)------------------------------
% 2.76/1.27 % (2844447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (2844447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (2844447)CaDiCaL version: 2.1.3
% 2.76/1.27 % (2844447)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.27 % (2844447)Time elapsed: 0.003 s
% 2.76/1.27 % (2844447)Peak memory usage: 88 MB
% 2.76/1.27 % (2844447)Instructions burned: 3 (million)
% 2.76/1.27 % (2844439)------------------------------
% 2.76/1.27 % (2844439)------------------------------
% 2.76/1.27 % (2844436)------------------------------
% 2.76/1.27 % (2844436)------------------------------
% 2.76/1.27 % (2844438)Refutation found. Thanks to Tanya!
% 2.76/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.76/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.47 % (2844438)------------------------------
% 3.57/1.47 % (2844438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.47 % (2844438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.47 % (2844438)CaDiCaL version: 2.1.3
% 3.57/1.47 % (2844438)Termination reason: Refutation
% 3.57/1.47 % (2844438)Time elapsed: 0.026 s
% 3.57/1.47 % (2844438)Peak memory usage: 89 MB
% 3.57/1.47 % (2844438)Instructions burned: 36 (million)
% 3.57/1.47 % (2844438)------------------------------
% 3.57/1.47 % (2844438)------------------------------
% 3.57/1.47 % (2844428)Success in time 0.424 s
% 3.57/1.47 % Vampire exiting
%------------------------------------------------------------------------------