%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP323-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 10:17:29 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 55
% Syntax : Number of formulae : 358 ( 22 unt; 21 def)
% Number of atoms : 1155 ( 334 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1526 ( 729 ~; 776 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',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/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,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_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,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_24) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| 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_c8) != sk_c6
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f67,f85,f82,f79,f75,f72,f69]) ).
fof(f90,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f94,f90]) ).
fof(f99,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f94,f99]) ).
fof(f104,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f60,f94,f104]) ).
fof(f109,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f94,f109]) ).
fof(f113,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f94,f75]) ).
fof(f115,definition,
( spl0_12
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f117,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f115,f90]) ).
fof(f119,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f115,f99]) ).
fof(f120,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f50,f115,f104]) ).
fof(f121,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f48,f115,f109]) ).
fof(f122,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f46,f115,f75]) ).
fof(f124,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f126,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f124,f90]) ).
fof(f128,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f124,f99]) ).
fof(f129,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f124,f104]) ).
fof(f130,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f124,f109]) ).
fof(f131,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f124,f75]) ).
fof(f133,definition,
( spl0_14
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f135,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f133,f90]) ).
fof(f137,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f133,f99]) ).
fof(f138,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f133,f104]) ).
fof(f139,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f133,f109]) ).
fof(f140,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f26,f133,f75]) ).
fof(f142,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f142,f90]) ).
fof(f146,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f142,f99]) ).
fof(f147,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f142,f104]) ).
fof(f148,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f142,f109]) ).
fof(f149,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f16,f142,f75]) ).
fof(f150,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f85,f90]) ).
fof(f151,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f85,f99]) ).
fof(f152,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f85,f104]) ).
fof(f153,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f85,f109]) ).
fof(f154,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f85,f75]) ).
fof(f155,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f156,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f106]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f161,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f165,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f164,f101]) ).
fof(f211,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f165,f173]) ).
fof(f214,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f165,f111]) ).
fof(f223,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f214,f106]) ).
fof(f224,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f211,f3]) ).
fof(f229,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f76,f223]) ).
fof(f232,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f165,f223]) ).
fof(f234,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f232,f3]) ).
fof(f237,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f229,f224]) ).
fof(f255,plain,
( sk_c6 != multiply(sk_c7,identity)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f87,f237]) ).
fof(f258,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f155,f237]) ).
fof(f259,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f156,f237]) ).
fof(f272,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f273,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f258,f1]) ).
fof(f276,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f255,f234]) ).
fof(f281,plain,
( identity != sk_c6
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f276,f1]) ).
fof(f285,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f281,f224]) ).
fof(f286,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f287,plain,
( ! [X2] :
( sk_c7 != multiply(identity,multiply(X2,identity))
| sk_c8 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f80,f237]) ).
fof(f288,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f86,f224]) ).
fof(f289,plain,
( ! [X2] :
( sk_c7 != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f291,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f289,f234]) ).
fof(f293,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f291,f237]) ).
fof(f294,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f293,f1]) ).
fof(f298,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f302,plain,
( sk_c8 = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f106,f272]) ).
fof(f303,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f302,f237]) ).
fof(f307,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f303,f298]) ).
fof(f308,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f314,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f135]) ).
fof(f315,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f165,f117]) ).
fof(f317,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f315,f96]) ).
fof(f324,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f165,f144]) ).
fof(f326,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f324,f135]) ).
fof(f338,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f80,f101]) ).
fof(f339,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f80,f117]) ).
fof(f344,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f339,f126]) ).
fof(f345,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f338,f92]) ).
fof(f370,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f344,f96]) ).
fof(f371,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f372,plain,
( sk_c7 != sk_c8
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f345,f173]) ).
fof(f374,definition,
( spl0_21
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f375,plain,
( sk_c7 = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( sk_c7 != sk_c8
| spl0_21 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f378,plain,
( ~ spl0_21
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f372,f99,f90,f79,f374]) ).
fof(f391,plain,
( sk_c7 != sk_c6
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f73,f101]) ).
fof(f395,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f391,f92]) ).
fof(f397,definition,
( spl0_22
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f398,plain,
( identity = sk_c7
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( identity != sk_c7
| spl0_22 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f403,plain,
( identity != sk_c7
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f395,f224]) ).
fof(f404,plain,
( ~ spl0_22
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f403,f99,f90,f72,f397]) ).
fof(f411,plain,
( sk_c7 = sk_c8
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f317,f126]) ).
fof(f414,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f411,f124,f115,f94,f374]) ).
fof(f451,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f326,f288]) ).
fof(f454,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f83,f375]) ).
fof(f455,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f451,f142,f133,f99,f90,f85,f397]) ).
fof(f456,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f454,f1]) ).
fof(f461,plain,
( sk_c7 != sk_c8
| sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f454,f144]) ).
fof(f463,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f461,f375]) ).
fof(f471,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f463,f135]) ).
fof(f472,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f480,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f70,f375]) ).
fof(f481,plain,
( ! [X4] :
( identity != multiply(X4,sk_c7)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f480,f224]) ).
fof(f482,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f481,f375]) ).
fof(f488,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f314,f398]) ).
fof(f492,plain,
( identity = sk_c1
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f488,f1]) ).
fof(f503,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f482,f398]) ).
fof(f504,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f503,f398]) ).
fof(f507,plain,
( sk_c7 = inverse(identity)
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f135,f492]) ).
fof(f508,plain,
( identity = inverse(identity)
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f507,f398]) ).
fof(f511,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f504,f1]) ).
fof(f515,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f511]) ).
fof(f516,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f508,f515]) ).
fof(f517,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f519,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f73,f375]) ).
fof(f530,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f86,f375]) ).
fof(f537,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f326,f375]) ).
fof(f539,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f519,f398]) ).
fof(f549,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f530,f398]) ).
fof(f556,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f539,f375]) ).
fof(f560,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f549,f1]) ).
fof(f563,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f556,f398]) ).
fof(f565,definition,
( spl0_25
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f566,plain,
( identity = sk_c6
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl0_26
<=> identity = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f570,plain,
( identity = inverse(sk_c5)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f573,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f560,f397,f374,f85,f565]) ).
fof(f576,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f563,f1]) ).
fof(f580,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f576]) ).
fof(f581,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f508,f580]) ).
fof(f582,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f584,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f480,f398]) ).
fof(f586,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f584,f566]) ).
fof(f588,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f586,f375]) ).
fof(f590,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f588,f398]) ).
fof(f592,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(superposition,[],[f590,f1]) ).
fof(f596,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f592]) ).
fof(f597,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f508,f596]) ).
fof(f598,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f645,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f480,f375]) ).
fof(f651,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f645,f1]) ).
fof(f662,definition,
( spl0_27
<=> sk_c7 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f664,plain,
( sk_c7 != inverse(identity)
| spl0_27 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl0_28
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f668,plain,
( sk_c7 != sk_c6
| spl0_28 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f669,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f651,f374,f69,f666,f662]) ).
fof(f676,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f165,f537]) ).
fof(f678,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f676,f3]) ).
fof(f684,plain,
( $false
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f678,f399]) ).
fof(f685,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f686,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f92,f375]) ).
fof(f710,plain,
( spl0_25
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f224,f99,f90,f565]) ).
fof(f711,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f234,f109,f104,f397]) ).
fof(f724,plain,
( identity != sk_c7
| ~ spl0_25
| spl0_28 ),
inference(superposition,[],[f668,f566]) ).
fof(f725,plain,
( $false
| ~ spl0_22
| ~ spl0_25
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f724,f398]) ).
fof(f726,plain,
( ~ spl0_22
| ~ spl0_25
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f728,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_demodulation,[],[f86,f566]) ).
fof(f729,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f728,f398]) ).
fof(f730,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f729,f1]) ).
fof(f760,plain,
( identity != sk_c7
| ~ spl0_6
| spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f376,f730]) ).
fof(f761,plain,
( $false
| ~ spl0_6
| spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f760,f398]) ).
fof(f762,plain,
( ~ spl0_6
| spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f794,plain,
( identity = inverse(sk_c5)
| ~ spl0_7
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f686,f398]) ).
fof(f813,plain,
( identity != inverse(identity)
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f664,f398]) ).
fof(f833,plain,
( spl0_26
| ~ spl0_7
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f794,f397,f374,f90,f569]) ).
fof(f867,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f570,f273]) ).
fof(f870,plain,
( sk_c7 != inverse(identity)
| ~ spl0_5
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f456]) ).
fof(f873,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f870,f398]) ).
fof(f885,plain,
( sk_c6 != multiply(sk_c8,identity)
| spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f77,f398]) ).
fof(f899,plain,
( sk_c6 != multiply(identity,identity)
| spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f885,f730]) ).
fof(f906,plain,
( identity != sk_c6
| spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f899,f1]) ).
fof(f909,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f906,f566]) ).
fof(f910,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f1008,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22
| ~ spl0_26
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f867,f813]) ).
fof(f1009,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22
| ~ spl0_26
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1014,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f873,f867]) ).
fof(f1015,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f113]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s10,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s12,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s16,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s17,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s18,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s21,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s22,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s23,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s24,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s25,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s28,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f153]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f286]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f308]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f371]) ).
cnf(s39,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(sat_conversion,[],[f378]) ).
cnf(s43,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f404]) ).
cnf(s45,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f414]) ).
cnf(s47,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| spl0_22 ),
inference(sat_conversion,[],[f455]) ).
cnf(s49,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f472]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f517]) ).
cnf(s53,plain,
( ~ spl0_6
| ~ spl0_21
| ~ spl0_22
| spl0_25 ),
inference(sat_conversion,[],[f573]) ).
cnf(s55,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f582]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(sat_conversion,[],[f598]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f669]) ).
cnf(s65,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f685]) ).
cnf(s70,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_25 ),
inference(sat_conversion,[],[f710]) ).
cnf(s71,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_22 ),
inference(sat_conversion,[],[f711]) ).
cnf(s72,plain,
( ~ spl0_22
| ~ spl0_25
| spl0_28 ),
inference(sat_conversion,[],[f726]) ).
cnf(s73,plain,
( ~ spl0_6
| spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(sat_conversion,[],[f762]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f833]) ).
cnf(s79,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_25 ),
inference(sat_conversion,[],[f910]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s83,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s84,plain,
spl0_3,
inference(rat,[],[s79,s53,s65,s45,s6,s11,s16,s21,s26,s31]) ).
cnf(s85,plain,
spl0_6,
inference(rat,[],[s32,s27,s28,s29,s30,s84]) ).
cnf(s86,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s83,s75,s73,s71,s70,s84,s85]) ).
cnf(s87,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s45,s49,s10,s15,s20,s25]) ).
cnf(s88,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s45,s49,s9,s14,s19,s24]) ).
cnf(s89,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s45,s49,s8,s13,s18,s23,s86,s88,s87]) ).
cnf(s90,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s86,s3,s4,s5,s89]) ).
cnf(s91,plain,
~ spl0_5,
inference(rat,[],[s45,s49,s2,s7,s12,s17,s22,s90]) ).
cnf(s92,plain,
( spl0_11
| spl0_22
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s47,s20,s25,s85]) ).
cnf(s93,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s47,s19,s24,s33,s92,s73,s70,s39,s84,s85]) ).
cnf(s94,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s3,s8,s13]) ).
cnf(s95,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s2,s7,s12,s93]) ).
cnf(s96,plain,
~ spl0_4,
inference(rat,[],[s95,s94]) ).
cnf(s97,plain,
( spl0_22
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s47,s19,s24,s71,s92,s85]) ).
cnf(s98,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s97,s43]) ).
cnf(s99,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s55,s65,s45,s3,s8,s13,s18,s23]) ).
cnf(s100,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s55,s65,s45,s2,s7,s12,s17,s22,s98]) ).
cnf(s101,plain,
~ spl0_2,
inference(rat,[],[s100,s99]) ).
cnf(s102,plain,
spl0_1,
inference(rat,[],[s1,s84,s85,s91,s96,s101]) ).
cnf(s103,plain,
( ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s82,s19,s20,s61,s75,s51,s72,s73,s97,s70,s85,s102,s84]) ).
cnf(s104,plain,
( ~ spl0_21
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s56,s53,s65,s85,s102]) ).
cnf(s105,plain,
spl0_9,
inference(rat,[],[s104,s45,s3,s8,s13,s18,s23]) ).
cnf(s106,plain,
~ spl0_7,
inference(rat,[],[s103,s105]) ).
cnf(s107,plain,
spl0_15,
inference(rat,[],[s22,s106]) ).
cnf(s108,plain,
spl0_14,
inference(rat,[],[s17,s106]) ).
cnf(s109,plain,
spl0_13,
inference(rat,[],[s12,s106]) ).
cnf(s110,plain,
spl0_12,
inference(rat,[],[s7,s106]) ).
cnf(s111,plain,
spl0_8,
inference(rat,[],[s2,s106]) ).
cnf(s112,plain,
~ spl0_21,
inference(rat,[],[s104,s107,s108]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s45,s109,s111,s112,s110]) ).
fof(f1016,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP323-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n010.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 09:50:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % (710257)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (710262)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4033933031_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % TRYING [3]
% 0.18/0.49 % (710263)% WARNING: option uhcvi not known.
% 0.18/0.49 % TRYING [4]
% 0.18/0.49 % (710263)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2383950270:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (710264)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=819577882:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (710266)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=342575980:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (710267)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2851803587:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (710265)dis+10_1_sil=32000:sp=arity:random_seed=3407887054:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (710268)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3968756941:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % TRYING [5]
% 0.18/0.49 % TRYING [6]
% 0.18/0.49 % (710265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-710257-710265"...
% 0.18/0.49 % (710267) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-710257-710267"...
% 0.18/0.49 % (710266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-710257-710266"...
% 0.18/0.49 % (710265)...printing done.
% 0.18/0.49 % (710265)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (710265)------------------------------
% 0.18/0.50 % (710265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (710265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (710265)CaDiCaL version: 2.1.3
% 0.18/0.50 % (710265)Termination reason: Refutation
% 0.18/0.50 % (710265)Time elapsed: 0.021 s
% 0.18/0.50 % (710265)Peak memory usage: 12 MB
% 0.18/0.50 % (710265)Instructions burned: 35 (million)
% 0.18/0.50 % (710257)Success in time 0.056 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------