%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP234-1 : 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 : n002.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 10:17:14 AM UTC 2026
% Result : Unsatisfiable 0.12s 5.49s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 39
% Syntax : Number of formulae : 253 ( 24 unt; 15 def)
% Number of atoms : 777 ( 236 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 996 ( 472 ~; 509 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 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,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,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_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c7) != sk_c6
| multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(sk_c7,X3) != sk_c6
| multiply(X4,sk_c7) != X3
| inverse(X4) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c7) != sk_c6
| sk_c6 != multiply(X0,sk_c7)
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != multiply(sk_c7,X3)
| multiply(X4,sk_c7) != X3
| sk_c7 != inverse(X4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
! [X2,X0,X1,X4] :
( inverse(sk_c7) != sk_c6
| sk_c6 != multiply(X0,sk_c7)
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) ),
inference(equality_resolution,[],[f46]) ).
fof(f49,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,definition,
( spl0_3
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f56,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,definition,
( spl0_4
<=> ! [X0] : sk_c6 != multiply(X0,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f59,plain,
( ! [X0] : sk_c6 != multiply(X0,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_5
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f62,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( inverse(sk_c7) != sk_c6
| spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f47,f61,f58,f55,f52,f49]) ).
fof(f66,definition,
( spl0_6
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f70,definition,
( spl0_7
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f70,f66]) ).
fof(f75,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f77,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f70,f75]) ).
fof(f80,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f40,f70,f80]) ).
fof(f85,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f38,f70,f85]) ).
fof(f90,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f92,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f36,f70,f90]) ).
fof(f95,definition,
( spl0_12
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f96,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| spl0_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f95,f66]) ).
fof(f99,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f95,f75]) ).
fof(f100,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f95,f80]) ).
fof(f101,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f28,f95,f85]) ).
fof(f102,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f26,f95,f90]) ).
fof(f104,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f106,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f104,f66]) ).
fof(f108,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f104,f75]) ).
fof(f109,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f104,f80]) ).
fof(f110,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f104,f85]) ).
fof(f111,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f16,f104,f90]) ).
fof(f112,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f61,f66]) ).
fof(f113,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f61,f75]) ).
fof(f114,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f61,f80]) ).
fof(f115,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f61,f85]) ).
fof(f116,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f61,f90]) ).
fof(f117,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f3,f68]) ).
fof(f118,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f92]) ).
fof(f121,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f123,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f117]) ).
fof(f126,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f123,f1]) ).
fof(f127,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f121,f1]) ).
fof(f130,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f118]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f135,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f126,f77]) ).
fof(f142,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f82,f135]) ).
fof(f165,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f127,f3]) ).
fof(f166,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f127,f127]) ).
fof(f169,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f127,f118]) ).
fof(f170,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f127,f135]) ).
fof(f173,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f127,f87]) ).
fof(f182,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f173,f92]) ).
fof(f184,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f170,f3]) ).
fof(f186,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f165,f166]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f182,f142]) ).
fof(f191,plain,
( ! [X0] : multiply(X0,sk_c5) = X0
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f186,f184]) ).
fof(f194,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f127,f188]) ).
fof(f196,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f194,f3]) ).
fof(f199,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f196]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1,f196]) ).
fof(f209,plain,
( identity = inverse(sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f3,f191]) ).
fof(f214,plain,
( sk_c5 = multiply(sk_c7,sk_c4)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f126,f191]) ).
fof(f215,plain,
( sk_c5 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f214,f200]) ).
fof(f219,plain,
( identity = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f209,f199]) ).
fof(f222,plain,
( sk_c7 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f215,f199]) ).
fof(f224,plain,
( inverse(sk_c7) = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f219,f184]) ).
fof(f226,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f224,f199]) ).
fof(f238,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f169,f196]) ).
fof(f245,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f238,f3]) ).
fof(f248,plain,
( sk_c7 = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f245,f196]) ).
fof(f273,plain,
( ! [X0] : multiply(X0,sk_c7) = X0
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f191,f199]) ).
fof(f284,plain,
( sk_c5 = multiply(sk_c7,sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f131,f191]) ).
fof(f305,plain,
( sk_c7 != sk_c6
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f63,f226]) ).
fof(f310,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f305,f142]) ).
fof(f311,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f316,plain,
( ! [X1] :
( sk_c6 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f56,f273]) ).
fof(f318,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != X1 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f316,f142]) ).
fof(f319,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f318,f68]) ).
fof(f326,plain,
( sk_c7 != sk_c4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f329,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f326,f222]) ).
fof(f330,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f339,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f72]) ).
fof(f393,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f53,f142]) ).
fof(f397,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f393,f77]) ).
fof(f405,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f397,f68]) ).
fof(f450,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f3,f62]) ).
fof(f451,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f127,f97]) ).
fof(f453,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f451,f72]) ).
fof(f457,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_7 ),
inference(superposition,[],[f127,f339]) ).
fof(f460,plain,
( inverse(sk_c7) = sk_c2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f457,f186]) ).
fof(f462,plain,
( sk_c6 = sk_c2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f460,f62]) ).
fof(f465,plain,
( sk_c6 != multiply(sk_c7,identity)
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f50,f3]) ).
fof(f473,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f465,f186]) ).
fof(f498,definition,
( spl0_19
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f499,plain,
( sk_c7 = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( sk_c7 != sk_c6
| spl0_19 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,plain,
( sk_c7 != inverse(sk_c6)
| sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f473,f62]) ).
fof(f505,definition,
( spl0_20
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f506,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f508,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f502,f61,f49,f505,f498]) ).
fof(f511,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_5 ),
inference(superposition,[],[f127,f450]) ).
fof(f514,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f511,f186]) ).
fof(f517,plain,
( spl0_20
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f514,f61,f505]) ).
fof(f518,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f339,f462]) ).
fof(f521,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f518,f453]) ).
fof(f523,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_20 ),
inference(superposition,[],[f3,f506]) ).
fof(f543,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f127,f453]) ).
fof(f546,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f543,f3]) ).
fof(f549,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f546,f521]) ).
fof(f550,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f549,f500]) ).
fof(f551,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f552,plain,
( sk_c7 != sk_c6
| ~ spl0_4 ),
inference(superposition,[],[f59,f1]) ).
fof(f557,plain,
( sk_c6 != sk_c6
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f59,f106]) ).
fof(f561,plain,
( $false
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f557]) ).
fof(f562,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f567,plain,
( $false
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f552,f499]) ).
fof(f568,plain,
( ~ spl0_4
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f573,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f53,f499]) ).
fof(f588,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f573,f97]) ).
fof(f590,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f588,f499]) ).
fof(f595,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f590,f72]) ).
fof(f596,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f605,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f56,f499]) ).
fof(f626,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f605,f97]) ).
fof(f628,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f626,f499]) ).
fof(f633,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f628,f72]) ).
fof(f634,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f656,plain,
( sk_c3 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f284,f200]) ).
fof(f665,plain,
( sk_c6 != sk_c2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f96,f273]) ).
fof(f667,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f523,f200]) ).
fof(f674,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f656,f248]) ).
fof(f677,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f665,f462]) ).
fof(f678,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f680,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f667,f196]) ).
fof(f685,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f674,f405]) ).
fof(f686,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f692,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f680,f500]) ).
fof(f693,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f692]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f64]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f73]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f78]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f88]) ).
cnf(s6,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f93]) ).
cnf(s7,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f98]) ).
cnf(s8,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f99]) ).
cnf(s9,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f100]) ).
cnf(s10,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f101]) ).
cnf(s11,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f102]) ).
cnf(s12,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f107]) ).
cnf(s13,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f108]) ).
cnf(s14,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f109]) ).
cnf(s15,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f110]) ).
cnf(s16,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f111]) ).
cnf(s17,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f112]) ).
cnf(s18,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f113]) ).
cnf(s19,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f114]) ).
cnf(s20,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f115]) ).
cnf(s21,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s22,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f311]) ).
cnf(s25,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f330]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f508]) ).
cnf(s40,plain,
( ~ spl0_5
| spl0_20 ),
inference(sat_conversion,[],[f517]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f551]) ).
cnf(s43,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(sat_conversion,[],[f562]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_19 ),
inference(sat_conversion,[],[f568]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f596]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f634]) ).
cnf(s66,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f678]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f686]) ).
cnf(s72,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f693]) ).
cnf(s74,plain,
spl0_5,
inference(rat,[],[s22,s17,s18,s19,s20,s21]) ).
cnf(s75,plain,
spl0_20,
inference(rat,[],[s40,s74]) ).
cnf(s76,plain,
~ spl0_4,
inference(rat,[],[s72,s12,s13,s14,s15,s16,s43,s44,s75]) ).
cnf(s77,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s25,s3,s4,s5,s6]) ).
cnf(s79,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s41,s53,s74]) ).
cnf(s80,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s25,s8,s9,s10,s11,s79,s77]) ).
cnf(s81,plain,
~ spl0_3,
inference(rat,[],[s79,s2,s7,s80]) ).
cnf(s82,plain,
( spl0_12
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s66,s8,s9,s10,s11,s74]) ).
cnf(s83,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s41,s47,s74]) ).
cnf(s84,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s83,s82]) ).
cnf(s85,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s69,s3,s4,s5,s6,s84]) ).
cnf(s86,plain,
~ spl0_2,
inference(rat,[],[s83,s2,s7,s85]) ).
cnf(s87,plain,
spl0_1,
inference(rat,[],[s1,s74,s76,s81,s86]) ).
cnf(s88,plain,
~ spl0_19,
inference(rat,[],[s39,s75,s74,s87]) ).
cnf(s89,plain,
~ spl0_7,
inference(rat,[],[s82,s7,s41,s74,s88]) ).
cnf(s90,plain,
spl0_11,
inference(rat,[],[s6,s89]) ).
cnf(s91,plain,
spl0_10,
inference(rat,[],[s5,s89]) ).
cnf(s92,plain,
spl0_9,
inference(rat,[],[s4,s89]) ).
cnf(s93,plain,
spl0_8,
inference(rat,[],[s3,s89]) ).
cnf(s94,plain,
spl0_6,
inference(rat,[],[s2,s89]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s72,s75,s88,s90,s91,s94,s93,s92]) ).
fof(f697,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP234-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.41 % Computer : n002.cluster.edu
% 0.12/5.41 % Model : x86_64 x86_64
% 0.12/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.41 % Memory : 8046.5625MB
% 0.12/5.41 % OS : Linux 6.8.0-71-generic
% 0.12/5.41 % CPULimit : 300
% 0.12/5.41 % WCLimit : 300
% 0.12/5.41 % DateTime : Sun Sep 27 09:40:57 UTC 2026
% 0.12/5.42 % CPUTime :
% 0.12/5.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.45 Running first-order model finding
% 0.12/5.45 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
% 0.12/5.49 % (3298649)Will run a generic schedule for satisfiability detection.
% 0.12/5.49 % (3298658)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2163645638:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/5.49 % (3298655)% WARNING: option uhcvi not known.
% 0.12/5.49 % (3298655)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=507312850:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/5.49 % (3298654)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1302261972_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/5.49 % (3298658) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3298649-3298658"...
% 0.12/5.49 % (3298656)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3358676468:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/5.49 % (3298660)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3540176454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/5.49 % (3298657)dis+10_1_sil=32000:sp=arity:random_seed=831661636:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/5.49 % (3298659)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2993365606:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/5.49 % (3298658)...printing done.
% 0.12/5.49 % TRYING [1]
% 0.12/5.49 % (3298658)Refutation found. Thanks to Tanya!
% 0.12/5.49 % SZS status Unsatisfiable for theBenchmark
% 0.12/5.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/5.50 % (3298658)------------------------------
% 0.12/5.50 % (3298658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/5.50 % (3298658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/5.50 % (3298658)CaDiCaL version: 2.1.3
% 0.12/5.50 % (3298658)Termination reason: Refutation
% 0.12/5.50 % (3298658)Time elapsed: 0.008 s
% 0.12/5.50 % (3298658)Peak memory usage: 12 MB
% 0.12/5.50 % (3298658)Instructions burned: 21 (million)
% 0.12/5.50 % (3298649)Success in time 0.035 s
% 0.12/5.50 % Vampire exiting
%------------------------------------------------------------------------------