%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 10:17:32 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 55
% Syntax : Number of formulae : 357 ( 20 unt; 21 def)
% Number of atoms : 1148 ( 322 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1493 ( 702 ~; 770 |; 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 : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| 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
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(X2,X3) != sk_c8
| inverse(X2) != X3
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c8 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7)
| 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
<=> ! [X2] :
( sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X2] :
( sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c8 != multiply(X2,inverse(X2)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(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_c8 )
| ~ 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_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ 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 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ 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_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f94,f109]) ).
fof(f114,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f94,f114]) ).
fof(f118,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f94,f75]) ).
fof(f120,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f122,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f120,f90]) ).
fof(f124,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f120,f99]) ).
fof(f125,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f120,f104]) ).
fof(f126,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f120,f109]) ).
fof(f127,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f120,f114]) ).
fof(f128,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f120,f75]) ).
fof(f130,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f130,f90]) ).
fof(f134,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f130,f99]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f130,f104]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f130,f109]) ).
fof(f137,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f130,f114]) ).
fof(f138,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f130,f75]) ).
fof(f140,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f142,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f140,f90]) ).
fof(f144,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f140,f99]) ).
fof(f145,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f140,f104]) ).
fof(f146,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f140,f109]) ).
fof(f147,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f140,f114]) ).
fof(f148,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f140,f75]) ).
fof(f149,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f85,f90]) ).
fof(f150,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f85,f99]) ).
fof(f151,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f85,f104]) ).
fof(f152,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f85,f109]) ).
fof(f153,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f85,f114]) ).
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_c4,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f111]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f164,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f168,f101]) ).
fof(f174,plain,
( sk_c7 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f171,f76]) ).
fof(f221,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f164,f76]) ).
fof(f225,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f164,f116]) ).
fof(f229,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f164,f106]) ).
fof(f239,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f229,f174]) ).
fof(f241,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f225,f174]) ).
fof(f245,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f221,f174]) ).
fof(f249,plain,
( sk_c4 = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f241,f111]) ).
fof(f251,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f245,f3]) ).
fof(f252,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f249,f106]) ).
fof(f253,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f252,f174]) ).
fof(f261,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f156,f253]) ).
fof(f283,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f239,f253]) ).
fof(f284,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f283,f3]) ).
fof(f285,plain,
( sk_c6 != multiply(identity,sk_c8)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f87,f284]) ).
fof(f294,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f261,f284]) ).
fof(f295,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f294,f1]) ).
fof(f303,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f285,f1]) ).
fof(f308,plain,
( identity != sk_c8
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f303,f251]) ).
fof(f311,plain,
( identity != sk_c7
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f308,f174]) ).
fof(f312,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f311,f284]) ).
fof(f313,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f314,plain,
( ! [X1] :
( identity != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f80,f284]) ).
fof(f316,plain,
( ! [X1] :
( sk_c7 != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f314,f251]) ).
fof(f318,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f316,f284]) ).
fof(f320,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f318,f1]) ).
fof(f327,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f320]) ).
fof(f336,plain,
( sk_c4 = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f111,f295]) ).
fof(f337,plain,
( sk_c7 = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f336,f253]) ).
fof(f341,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f337,f284]) ).
fof(f343,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f341,f327]) ).
fof(f344,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f345,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f225,f111]) ).
fof(f349,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f142]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f86]) ).
fof(f352,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f164,f96]) ).
fof(f354,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f352,f122]) ).
fof(f355,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_14 ),
inference(superposition,[],[f164,f132]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f132]) ).
fof(f357,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f355,f142]) ).
fof(f362,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f80,f96]) ).
fof(f363,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f365,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f363,f122]) ).
fof(f366,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f372,definition,
( spl0_17
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f373,plain,
( identity = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f374,plain,
( identity != sk_c7
| spl0_17 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f388,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c4)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f73,f111]) ).
fof(f397,definition,
( spl0_21
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f398,plain,
( identity = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( identity != sk_c8
| spl0_21 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f419,plain,
( sk_c8 != multiply(sk_c3,sk_c4)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f388,f106]) ).
fof(f420,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f419,f116]) ).
fof(f421,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f425,plain,
( sk_c7 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f83,f1]) ).
fof(f429,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f83,f132]) ).
fof(f440,definition,
( spl0_27
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f441,plain,
( sk_c8 = inverse(identity)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f442,plain,
( sk_c8 != inverse(identity)
| spl0_27 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f444,definition,
( spl0_28
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f445,plain,
( sk_c7 = sk_c8
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f425,f82,f444,f440]) ).
fof(f448,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f164,f345]) ).
fof(f450,plain,
( identity = sk_c8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f448,f3]) ).
fof(f451,plain,
( spl0_21
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f450,f114,f109,f397]) ).
fof(f452,plain,
( sk_c8 != sk_c6
| sk_c8 != inverse(identity)
| ~ spl0_1 ),
inference(superposition,[],[f70,f1]) ).
fof(f457,plain,
( sk_c6 != sk_c6
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f70,f101]) ).
fof(f474,definition,
( spl0_32
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f475,plain,
( identity = sk_c6
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f479,definition,
( spl0_33
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f480,plain,
( sk_c8 = sk_c6
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( sk_c8 != sk_c6
| spl0_33 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( ~ spl0_27
| ~ spl0_33
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f452,f69,f479,f440]) ).
fof(f489,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f349,f398]) ).
fof(f490,plain,
( identity = sk_c1
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f489,f1]) ).
fof(f502,plain,
( sk_c8 = multiply(identity,sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f132,f490]) ).
fof(f503,plain,
( sk_c8 = inverse(identity)
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f142,f490]) ).
fof(f504,plain,
( identity = inverse(identity)
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f503,f398]) ).
fof(f505,plain,
( sk_c7 = sk_c8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f502,f1]) ).
fof(f507,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f505,f398]) ).
fof(f511,plain,
( spl0_17
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f507,f397,f140,f130,f372]) ).
fof(f523,plain,
( identity != inverse(identity)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f442,f398]) ).
fof(f533,plain,
( $false
| ~ spl0_15
| ~ spl0_21
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f504,f523]) ).
fof(f534,plain,
( ~ spl0_15
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f558,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_33 ),
inference(superposition,[],[f77,f480]) ).
fof(f561,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl0_27 ),
inference(superposition,[],[f164,f441]) ).
fof(f563,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_27 ),
inference(forward_demodulation,[],[f561,f1]) ).
fof(f585,plain,
( $false
| spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f558,f357]) ).
fof(f586,plain,
( spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f601,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f351,f357]) ).
fof(f606,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f601,f354]) ).
fof(f619,plain,
( identity = sk_c1
| ~ spl0_15
| ~ spl0_27 ),
inference(superposition,[],[f563,f349]) ).
fof(f638,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f357,f445]) ).
fof(f647,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(identity,multiply(sk_c7,X0))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f356,f619]) ).
fof(f648,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f647,f1]) ).
fof(f649,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f648,f563]) ).
fof(f652,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(superposition,[],[f649,f86]) ).
fof(f670,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f652,f481]) ).
fof(f671,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f716,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f164,f638]) ).
fof(f718,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_28 ),
inference(forward_demodulation,[],[f716,f3]) ).
fof(f726,plain,
( $false
| ~ spl0_14
| ~ spl0_15
| spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f718,f374]) ).
fof(f727,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_17
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f748,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f164,f606]) ).
fof(f750,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f748,f3]) ).
fof(f752,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f750,f399]) ).
fof(f753,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f755,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f756,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f755,f99,f69,f90]) ).
fof(f760,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f284,f114,f109,f104,f99,f90,f75,f372]) ).
fof(f761,plain,
( spl0_32
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f251,f99,f90,f75,f474]) ).
fof(f766,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f768,plain,
( ~ spl0_15
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f766,f130,f82,f140]) ).
fof(f769,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f174,f99,f90,f75,f444]) ).
fof(f820,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f253,f373]) ).
fof(f844,plain,
( sk_c4 = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f111,f295]) ).
fof(f851,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f844,f820]) ).
fof(f855,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f851,f523]) ).
fof(f856,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f857,plain,
( ! [X2] :
( sk_c8 != multiply(inverse(X2),identity)
| sk_c8 != multiply(X2,inverse(X2)) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f73,f373]) ).
fof(f863,plain,
( identity = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f122,f373]) ).
fof(f896,plain,
( ! [X2] :
( identity != multiply(inverse(X2),identity)
| sk_c8 != multiply(X2,inverse(X2)) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f857,f398]) ).
fof(f914,plain,
( ! [X2] :
( identity != multiply(inverse(X2),identity)
| identity != multiply(X2,inverse(X2)) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f896,f398]) ).
fof(f931,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f3,f863]) ).
fof(f932,plain,
( identity = sk_c2
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f931,f1]) ).
fof(f953,plain,
( identity != multiply(sk_c8,identity)
| identity != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f914,f92]) ).
fof(f955,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c2,identity)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f914,f863]) ).
fof(f959,plain,
( identity != multiply(sk_c2,identity)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f955,f1]) ).
fof(f961,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f953,f398]) ).
fof(f962,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f959,f932]) ).
fof(f964,plain,
( identity != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f961,f1]) ).
fof(f965,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f962,f1]) ).
fof(f966,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f969,plain,
( identity != sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f964,f101]) ).
fof(f970,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_21
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f969,f475]) ).
fof(f971,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_21
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f970]) ).
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_8
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s13,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s21,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s24,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s28,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f153]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f313]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f344]) ).
cnf(s35,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f366]) ).
cnf(s41,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f421]) ).
cnf(s44,plain,
( ~ spl0_5
| ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f447]) ).
cnf(s45,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f451]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_27
| ~ spl0_33 ),
inference(sat_conversion,[],[f482]) ).
cnf(s52,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f511]) ).
cnf(s53,plain,
( ~ spl0_15
| ~ spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f534]) ).
cnf(s63,plain,
( spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_33 ),
inference(sat_conversion,[],[f586]) ).
cnf(s72,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| spl0_33 ),
inference(sat_conversion,[],[f671]) ).
cnf(s78,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_17
| ~ spl0_28 ),
inference(sat_conversion,[],[f727]) ).
cnf(s80,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f753]) ).
cnf(s81,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f756]) ).
cnf(s84,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f760]) ).
cnf(s85,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_32 ),
inference(sat_conversion,[],[f761]) ).
cnf(s91,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f768]) ).
cnf(s96,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_28 ),
inference(sat_conversion,[],[f769]) ).
cnf(s103,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f856]) ).
cnf(s105,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f966]) ).
cnf(s107,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_21
| ~ spl0_32 ),
inference(sat_conversion,[],[f971]) ).
cnf(s108,plain,
spl0_3,
inference(rat,[],[s53,s72,s80,s63,s7,s13,s19,s25,s31]) ).
cnf(s109,plain,
spl0_6,
inference(rat,[],[s33,s26,s27,s28,s29,s30,s108]) ).
cnf(s110,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| spl0_27
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s103,s84,s45,s108]) ).
cnf(s111,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s91,s18,s24]) ).
cnf(s112,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s91,s17,s23]) ).
cnf(s113,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s22,s53,s110,s44,s96,s45,s112,s111,s108]) ).
cnf(s114,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s91,s15,s21]) ).
cnf(s115,plain,
( ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s91,s14,s20,s113]) ).
cnf(s116,plain,
~ spl0_5,
inference(rat,[],[s115,s114]) ).
cnf(s118,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s35,s6,s12]) ).
cnf(s119,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s35,s5,s11]) ).
cnf(s120,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s35,s4,s10]) ).
cnf(s121,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s35,s3,s9]) ).
cnf(s122,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(rat,[],[s35,s2,s8,s34,s108]) ).
cnf(s123,plain,
~ spl0_4,
inference(rat,[],[s122,s121,s120,s119,s118]) ).
cnf(s124,plain,
( spl0_12
| ~ spl0_28
| ~ spl0_2 ),
inference(rat,[],[s105,s80,s78,s6,s12,s18,s24,s109]) ).
cnf(s125,plain,
( spl0_11
| ~ spl0_28
| ~ spl0_2 ),
inference(rat,[],[s105,s80,s78,s5,s11,s17,s23,s109]) ).
cnf(s126,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s52,s107,s16,s22,s45,s41,s125,s124,s96,s85,s108]) ).
cnf(s127,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s52,s105,s80,s3,s9,s15,s21,s109]) ).
cnf(s128,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s52,s105,s80,s2,s8,s14,s20,s126,s109]) ).
cnf(s129,plain,
~ spl0_2,
inference(rat,[],[s128,s127]) ).
cnf(s130,plain,
spl0_1,
inference(rat,[],[s1,s109,s116,s108,s123,s129]) ).
cnf(s131,plain,
( ~ spl0_27
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s48,s72,s109,s130]) ).
cnf(s132,plain,
( ~ spl0_13
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s131,s53,s80,s109]) ).
cnf(s133,plain,
spl0_9,
inference(rat,[],[s132,s3,s9,s15,s21]) ).
cnf(s134,plain,
~ spl0_7,
inference(rat,[],[s81,s130,s133]) ).
cnf(s135,plain,
spl0_15,
inference(rat,[],[s20,s134]) ).
cnf(s136,plain,
spl0_14,
inference(rat,[],[s14,s134]) ).
cnf(s137,plain,
spl0_13,
inference(rat,[],[s8,s134]) ).
cnf(s138,plain,
spl0_8,
inference(rat,[],[s2,s134]) ).
cnf(s140,plain,
$false,
inference(rat,[],[s132,s135,s136,s138,s137]) ).
fof(f972,plain,
$false,
inference(avatar_sat_refutation,[],[s140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 09:49:50 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % (2296268)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (2296278)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1675703141:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (2296277)% WARNING: option uhcvi not known.
% 0.19/0.49 % (2296276)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=123279485_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % (2296277)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=595076195:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (2296279)dis+10_1_sil=32000:sp=arity:random_seed=4095415613:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (2296281)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3387713698:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (2296280)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2017059566:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (2296282)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2914212889:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % TRYING [1]
% 0.19/0.49 % TRYING [2]
% 0.19/0.49 % TRYING [3]
% 0.19/0.49 % TRYING [4]
% 0.19/0.49 % (2296279) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2296268-2296279"...
% 0.19/0.49 % TRYING [5]
% 0.19/0.49 % (2296281) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2296268-2296281"...
% 0.19/0.49 % (2296279)...printing done.
% 0.19/0.49 % (2296279)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (2296279)------------------------------
% 0.19/0.50 % (2296279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (2296279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (2296279)CaDiCaL version: 2.1.3
% 0.19/0.50 % (2296279)Termination reason: Refutation
% 0.19/0.50 % (2296279)Time elapsed: 0.022 s
% 0.19/0.50 % (2296279)Peak memory usage: 12 MB
% 0.19/0.50 % (2296279)Instructions burned: 35 (million)
% 0.19/0.50 % (2296268)Success in time 0.047 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------