%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP288-1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:23 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 44
% Syntax : Number of formulae : 264 ( 25 unt; 17 def)
% Number of atoms : 725 ( 234 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 858 ( 397 ~; 444 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 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_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c6) != sk_c5
| inverse(X1) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ),
inference(reorient_equations,[],[f55]) ).
fof(f58,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f65,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_4
<=> ! [X1] :
( sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f69,plain,
( ! [X1] :
( sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f56,f74,f71,f68,f64,f61,f58]) ).
fof(f79,definition,
( spl0_7
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f83,f79]) ).
fof(f88,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f90,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f83,f88]) ).
fof(f93,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f50,f83,f93]) ).
fof(f98,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f48,f83,f98]) ).
fof(f102,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f83,f64]) ).
fof(f104,definition,
( spl0_12
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f106,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f104,f79]) ).
fof(f108,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f104,f88]) ).
fof(f109,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f104,f93]) ).
fof(f110,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f104,f98]) ).
fof(f111,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f104,f64]) ).
fof(f113,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f115,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f113,f79]) ).
fof(f117,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f113,f88]) ).
fof(f118,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f113,f93]) ).
fof(f119,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f113,f98]) ).
fof(f120,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f113,f64]) ).
fof(f122,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f124,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f122,f79]) ).
fof(f126,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f122,f88]) ).
fof(f127,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f122,f93]) ).
fof(f128,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f122,f98]) ).
fof(f129,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f122,f64]) ).
fof(f130,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f74,f79]) ).
fof(f131,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f74,f88]) ).
fof(f134,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f74,f64]) ).
fof(f135,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f3,f81]) ).
fof(f136,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f100]) ).
fof(f139,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f140,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_3 ),
inference(superposition,[],[f4,f65]) ).
fof(f141,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f135]) ).
fof(f144,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f141,f1]) ).
fof(f145,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f139,f1]) ).
fof(f154,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f144,f90]) ).
fof(f165,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f65,f154]) ).
fof(f188,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f145,f3]) ).
fof(f189,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f145,f145]) ).
fof(f191,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f145,f154]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
| ~ spl0_3 ),
inference(superposition,[],[f145,f140]) ).
fof(f196,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f145,f95]) ).
fof(f205,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f196,f100]) ).
fof(f207,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f194,f165]) ).
fof(f209,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f191,f3]) ).
fof(f210,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f188,f189]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f207,f145]) ).
fof(f223,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f205,f211]) ).
fof(f224,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f76,f211]) ).
fof(f225,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f136,f211]) ).
fof(f228,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f225,f209]) ).
fof(f229,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f224,f165]) ).
fof(f230,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f232,plain,
( sk_c6 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f228,f223]) ).
fof(f234,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f69,f165]) ).
fof(f240,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f234,f95]) ).
fof(f245,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f240,f223]) ).
fof(f251,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f245,f100]) ).
fof(f254,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f251,f223]) ).
fof(f255,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f259,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f85]) ).
fof(f265,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f145,f106]) ).
fof(f267,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f265,f85]) ).
fof(f268,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f145,f124]) ).
fof(f270,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f268,f115]) ).
fof(f273,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_8 ),
inference(superposition,[],[f145,f259]) ).
fof(f276,plain,
( sk_c2 = inverse(sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f273,f210]) ).
fof(f286,plain,
( sk_c5 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f69,f106]) ).
fof(f287,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f289,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f287,f85]) ).
fof(f290,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f298,definition,
( spl0_16
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f299,plain,
( sk_c6 = sk_c5
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f303,definition,
( spl0_17
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f304,plain,
( sk_c7 = sk_c5
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f305,plain,
( sk_c7 != sk_c5
| spl0_17 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl0_18
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f308,plain,
( sk_c7 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f319,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f62,f3]) ).
fof(f321,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f62,f95]) ).
fof(f335,plain,
( sk_c7 != inverse(sk_c2)
| identity != sk_c7
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f319,f276]) ).
fof(f338,plain,
( sk_c7 != sk_c6
| identity != sk_c7
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f335,f85]) ).
fof(f344,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f59,f90]) ).
fof(f345,plain,
( sk_c7 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f59,f106]) ).
fof(f346,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f348,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f345,f85]) ).
fof(f356,plain,
( ~ spl0_17
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f348,f104,f83,f58,f303]) ).
fof(f359,plain,
( identity = multiply(sk_c2,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f3,f276]) ).
fof(f360,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f359,f106]) ).
fof(f470,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f270,f75]) ).
fof(f476,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f145,f270]) ).
fof(f479,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f476,f3]) ).
fof(f484,plain,
( $false
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f470,f305]) ).
fof(f485,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f486,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f267,f304]) ).
fof(f493,plain,
( sk_c6 != sk_c5
| sk_c7 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f72,f65]) ).
fof(f494,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f72,f124]) ).
fof(f513,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f321]) ).
fof(f517,plain,
( ~ spl0_11
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f513,f93,f61,f98]) ).
fof(f533,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f360,f479]) ).
fof(f535,plain,
( spl0_16
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f533,f122,f113,f104,f83,f298]) ).
fof(f536,plain,
( sk_c7 = sk_c6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f299,f304]) ).
fof(f545,plain,
( identity != sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f338,f308]) ).
fof(f553,plain,
( identity != sk_c6
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f545,f308]) ).
fof(f555,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f553,f479]) ).
fof(f556,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f557,plain,
( sk_c6 != sk_c5
| spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f66,f486]) ).
fof(f558,plain,
( $false
| spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f557,f299]) ).
fof(f559,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f561,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f494]) ).
fof(f565,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f165,f88,f79,f64,f298]) ).
fof(f575,plain,
( ~ spl0_13
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f561,f122,f71,f113]) ).
fof(f577,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f100,f232]) ).
fof(f605,plain,
( spl0_18
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f536,f303,f298,f307]) ).
fof(f646,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f493,f299]) ).
fof(f653,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f646,f577]) ).
fof(f654,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f663,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f346,f81]) ).
fof(f664,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f663]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f91]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f96]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f102]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f116]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f125]) ).
cnf(s18,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f126]) ).
cnf(s19,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f127]) ).
cnf(s20,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s22,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f130]) ).
cnf(s23,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f131]) ).
cnf(s26,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f230]) ).
cnf(s29,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f255]) ).
cnf(s30,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f290]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f356]) ).
cnf(s42,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f485]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f517]) ).
cnf(s49,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f535]) ).
cnf(s56,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f556]) ).
cnf(s57,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f559]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f565]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f575]) ).
cnf(s70,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f605]) ).
cnf(s79,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f654]) ).
cnf(s81,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f664]) ).
cnf(s85,plain,
spl0_3,
inference(rat,[],[s57,s49,s42,s6,s11,s16,s21,s26]) ).
cnf(s86,plain,
spl0_6,
inference(rat,[],[s27,s22,s23,s85]) ).
cnf(s87,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s60,s15,s20]) ).
cnf(s88,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s60,s14,s19]) ).
cnf(s89,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s79,s58,s87,s88,s85]) ).
cnf(s90,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s60,s13,s18]) ).
cnf(s91,plain,
( ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s60,s12,s17,s89]) ).
cnf(s92,plain,
~ spl0_5,
inference(rat,[],[s91,s90]) ).
cnf(s93,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s30,s5,s10]) ).
cnf(s94,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s30,s4,s9]) ).
cnf(s95,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s30,s3,s8]) ).
cnf(s96,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_4
| ~ spl0_10 ),
inference(rat,[],[s30,s2,s7,s29,s85]) ).
cnf(s97,plain,
~ spl0_4,
inference(rat,[],[s96,s95,s94,s93]) ).
cnf(s98,plain,
( spl0_11
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s70,s56,s42,s5,s15,s20,s86]) ).
cnf(s99,plain,
( ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s70,s56,s42,s4,s14,s19,s46,s98,s86]) ).
cnf(s100,plain,
( spl0_9
| spl0_16 ),
inference(rat,[],[s49,s3,s8,s13,s18]) ).
cnf(s101,plain,
( ~ spl0_9
| spl0_16 ),
inference(rat,[],[s49,s2,s7,s12,s17,s58,s85]) ).
cnf(s102,plain,
spl0_16,
inference(rat,[],[s101,s100]) ).
cnf(s103,plain,
~ spl0_2,
inference(rat,[],[s99,s102]) ).
cnf(s104,plain,
spl0_1,
inference(rat,[],[s1,s85,s86,s92,s97,s103]) ).
cnf(s105,plain,
spl0_9,
inference(rat,[],[s38,s42,s3,s8,s13,s18,s104,s86]) ).
cnf(s106,plain,
~ spl0_7,
inference(rat,[],[s81,s104,s105]) ).
cnf(s107,plain,
spl0_14,
inference(rat,[],[s17,s106]) ).
cnf(s108,plain,
spl0_13,
inference(rat,[],[s12,s106]) ).
cnf(s109,plain,
spl0_12,
inference(rat,[],[s7,s106]) ).
cnf(s110,plain,
spl0_8,
inference(rat,[],[s2,s106]) ).
cnf(s111,plain,
spl0_17,
inference(rat,[],[s42,s108,s86,s107]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s38,s111,s104,s109,s110]) ).
fof(f678,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP288-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:52:00 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.14/0.47 % (3312323)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (3312329)% WARNING: option uhcvi not known.
% 0.14/0.47 % (3312329)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3582962497:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.47 % (3312330)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1220267296:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.47 % (3312331)dis+10_1_sil=32000:sp=arity:random_seed=723261134:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (3312328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=223274758_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.47 % (3312333)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4131171100:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % (3312332)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=791393922:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.47 % (3312334)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2119942412:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.47 % TRYING [1]
% 0.14/0.47 % TRYING [2]
% 0.14/0.47 % TRYING [3]
% 0.14/0.47 % TRYING [4]
% 0.14/0.47 % (3312331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312323-3312331"...
% 0.14/0.47 % (3312332) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312323-3312332"...
% 0.14/0.47 % (3312333) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312323-3312333"...
% 0.14/0.47 % (3312329) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312323-3312329"...
% 0.14/0.47 % (3312332)...printing done.
% 0.14/0.47 % (3312331)...printing done.
% 0.14/0.47 % (3312329)...printing done.
% 0.14/0.47 % (3312333)...printing done.
% 0.14/0.47 % (3312332)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (3312332)------------------------------
% 0.14/0.48 % (3312332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.48 % (3312332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.48 % (3312332)CaDiCaL version: 2.1.3
% 0.14/0.48 % (3312332)Termination reason: Refutation
% 0.14/0.48 % (3312332)Time elapsed: 0.015 s
% 0.14/0.48 % (3312332)Peak memory usage: 12 MB
% 0.14/0.48 % (3312332)Instructions burned: 22 (million)
% 0.14/0.48 % (3312323)Success in time 0.054 s
% 0.14/0.48 % Vampire exiting
%------------------------------------------------------------------------------