%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP213-1 : 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 : n011.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 10:17:11 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 37
% Syntax : Number of formulae : 328 ( 23 unt; 17 def)
% Number of atoms : 1261 ( 347 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1870 ( 937 ~; 916 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 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_c1,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
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_c2,sk_c3) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| inverse(sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f53]) ).
fof(f56,definition,
( spl0_1
<=> ! [X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f57,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_3
<=> sk_c7 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f63,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( sk_c7 != inverse(sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_4
<=> ! [X2,X1] :
( multiply(X1,X2) != sk_c8
| inverse(X1) != X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f67,plain,
( ! [X2,X1] :
( multiply(X1,X2) != sk_c8
| inverse(X1) != X2 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f70,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f69,f66,f62,f59,f56]) ).
fof(f73,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_7
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f79,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f52,f77,f73]) ).
fof(f82,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f84,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f87,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f89,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f92,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f94,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f97,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f99,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f101,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f77,f62]) ).
fof(f103,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f105,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f103,f73]) ).
fof(f111,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f103,f62]) ).
fof(f113,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f113,f73]) ).
fof(f117,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f113,f82]) ).
fof(f118,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f113,f87]) ).
fof(f119,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f113,f92]) ).
fof(f120,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f113,f97]) ).
fof(f121,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f113,f62]) ).
fof(f123,definition,
( spl0_14
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f124,plain,
( multiply(sk_c1,sk_c8) != sk_c7
| spl0_14 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f123,f73]) ).
fof(f127,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f123,f82]) ).
fof(f128,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f123,f87]) ).
fof(f129,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f123,f92]) ).
fof(f130,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f123,f97]) ).
fof(f131,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f123,f62]) ).
fof(f132,plain,
( inverse(sk_c8) = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f89,f63]) ).
fof(f133,plain,
( sk_c8 = multiply(sk_c4,inverse(sk_c8))
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f94,f63]) ).
fof(f135,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f60,f99]) ).
fof(f136,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f135]) ).
fof(f138,plain,
( sk_c8 != multiply(sk_c4,inverse(sk_c8))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f136,f63]) ).
fof(f140,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f138,f133]) ).
fof(f141,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c2,inverse(sk_c2))
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f105,f79]) ).
fof(f143,plain,
( sk_c7 = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f125,f115]) ).
fof(f144,plain,
( inverse(sk_c1) = multiply(sk_c2,inverse(sk_c2))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f142,f115]) ).
fof(f145,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c1)
| inverse(sk_c1) != multiply(X0,sk_c7) )
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f60,f115]) ).
fof(f147,plain,
( inverse(inverse(sk_c1)) = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f132,f115]) ).
fof(f149,plain,
( ! [X0] :
( inverse(sk_c1) != multiply(X0,inverse(sk_c8))
| inverse(X0) != inverse(sk_c1) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f145,f63]) ).
fof(f150,plain,
( ! [X0] :
( inverse(sk_c1) != multiply(X0,inverse(inverse(sk_c1)))
| inverse(X0) != inverse(sk_c1) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f149,f115]) ).
fof(f152,plain,
( inverse(sk_c8) = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f63,f143]) ).
fof(f153,plain,
( multiply(sk_c1,inverse(sk_c1)) = inverse(inverse(sk_c1))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f152,f115]) ).
fof(f157,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f3,f3]) ).
fof(f158,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f3,f75]) ).
fof(f159,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f160,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f4]) ).
fof(f161,plain,
( identity = multiply(inverse(sk_c1),sk_c5)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f158,f115]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c1),multiply(sk_c5,X0))
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f4,f161]) ).
fof(f174,plain,
( ! [X0] : multiply(inverse(sk_c1),multiply(sk_c5,X0)) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f195,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f174,f84]) ).
fof(f199,plain,
( sk_c8 = inverse(inverse(sk_c1))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f195,f147]) ).
fof(f203,plain,
( inverse(sk_c1) != inverse(inverse(sk_c1))
| inverse(sk_c1) != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f150,f1]) ).
fof(f210,plain,
( inverse(sk_c1) != multiply(sk_c1,inverse(sk_c1))
| inverse(sk_c1) != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f203,f153]) ).
fof(f235,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f160,f3]) ).
fof(f238,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f160,f160]) ).
fof(f240,plain,
( sk_c5 = multiply(inverse(inverse(sk_c1)),identity)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f160,f161]) ).
fof(f245,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f160,f84]) ).
fof(f247,plain,
( inverse(sk_c2) = multiply(inverse(sk_c2),inverse(sk_c1))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f160,f144]) ).
fof(f254,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f245,f75]) ).
fof(f258,plain,
( sk_c5 = multiply(multiply(sk_c1,inverse(sk_c1)),identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f240,f153]) ).
fof(f262,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f235,f238]) ).
fof(f270,plain,
( sk_c5 = multiply(sk_c1,multiply(inverse(sk_c1),identity))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f258,f4]) ).
fof(f274,plain,
( sk_c5 = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f270,f262]) ).
fof(f297,definition,
( spl0_15
<=> identity = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f298,plain,
( identity = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( identity != inverse(sk_c1)
| spl0_15 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f306,definition,
( spl0_17
<=> inverse(sk_c1) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f308,plain,
( inverse(sk_c1) != inverse(identity)
| spl0_17 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_18
<=> inverse(sk_c1) = multiply(sk_c1,inverse(sk_c1)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f311,plain,
( inverse(sk_c1) = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( inverse(sk_c1) != multiply(sk_c1,inverse(sk_c1))
| spl0_18 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f210,f123,f113,f62,f59,f310,f306]) ).
fof(f361,plain,
( identity = multiply(inverse(sk_c1),multiply(sk_c1,inverse(sk_c1)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f161,f274]) ).
fof(f364,plain,
( identity = inverse(sk_c1)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f361,f160]) ).
fof(f368,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f364,f299]) ).
fof(f369,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f448,plain,
( sk_c7 != inverse(inverse(sk_c1))
| spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f64,f115]) ).
fof(f452,plain,
( multiply(sk_c1,inverse(sk_c1)) != inverse(inverse(sk_c1))
| spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f448,f143]) ).
fof(f461,plain,
( inverse(sk_c1) = multiply(inverse(inverse(sk_c2)),inverse(sk_c2))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f160,f247]) ).
fof(f463,plain,
( identity = inverse(sk_c1)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f461,f3]) ).
fof(f465,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f463,f113,f103,f77,f297]) ).
fof(f475,plain,
( identity != multiply(sk_c1,identity)
| ~ spl0_15
| spl0_18 ),
inference(superposition,[],[f312,f298]) ).
fof(f478,plain,
( inverse(identity) != multiply(sk_c1,identity)
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f452,f298]) ).
fof(f483,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f298]) ).
fof(f484,plain,
( identity = sk_c1
| ~ spl0_15 ),
inference(forward_demodulation,[],[f483,f1]) ).
fof(f488,plain,
( sk_c1 != inverse(identity)
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f478,f262]) ).
fof(f491,plain,
( identity != sk_c1
| ~ spl0_15
| spl0_18 ),
inference(forward_demodulation,[],[f475,f262]) ).
fof(f493,plain,
( identity != inverse(identity)
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f488,f484]) ).
fof(f495,plain,
( $false
| ~ spl0_15
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f491,f484]) ).
fof(f496,plain,
( ~ spl0_15
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f504,plain,
( identity = inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f298,f484]) ).
fof(f514,plain,
( $false
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f504,f493]) ).
fof(f515,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f517,plain,
( sk_c7 = inverse(inverse(sk_c1))
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f63,f115]) ).
fof(f519,plain,
( identity != inverse(identity)
| ~ spl0_15
| spl0_17 ),
inference(forward_demodulation,[],[f308,f298]) ).
fof(f520,plain,
( sk_c7 = inverse(identity)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f517,f298]) ).
fof(f522,plain,
( $false
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f519,f504]) ).
fof(f523,plain,
( ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f524,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f520,f504]) ).
fof(f530,plain,
( ! [X4,X5] :
( sk_c7 != multiply(inverse(sk_c1),X4)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f57,f115]) ).
fof(f532,plain,
( ! [X4,X5] :
( sk_c7 != multiply(identity,X4)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f530,f298]) ).
fof(f533,plain,
( ! [X4,X5] :
( sk_c7 != X4
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f532,f1]) ).
fof(f534,plain,
( ! [X4,X5] :
( multiply(sk_c1,inverse(sk_c1)) != X4
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f533,f143]) ).
fof(f535,plain,
( ! [X4,X5] :
( multiply(sk_c1,identity) != X4
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f534,f298]) ).
fof(f536,plain,
( ! [X4,X5] :
( sk_c1 != X4
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f535,f262]) ).
fof(f537,plain,
( ! [X4,X5] :
( identity != X4
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f536,f484]) ).
fof(f538,plain,
( ! [X4,X5] :
( inverse(sk_c1) != inverse(X5)
| identity != X4
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f537,f115]) ).
fof(f539,plain,
( ! [X4,X5] :
( identity != inverse(X5)
| identity != X4
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f538,f298]) ).
fof(f540,plain,
( ! [X4,X5] :
( multiply(X5,inverse(sk_c1)) != X4
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f539,f115]) ).
fof(f541,plain,
( ! [X4,X5] :
( multiply(X5,identity) != X4
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f540,f298]) ).
fof(f542,plain,
( ! [X4,X5] :
( X4 != X5
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f541,f262]) ).
fof(f549,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(equality_resolution,[],[f542]) ).
fof(f551,plain,
( identity != identity
| identity != sk_c1
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f549,f298]) ).
fof(f552,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f551]) ).
fof(f553,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f552,f484]) ).
fof(f554,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f555,plain,
( ! [X0] :
( sk_c7 != multiply(X0,inverse(sk_c1))
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f70,f115]) ).
fof(f556,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f555,f298]) ).
fof(f557,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f556,f262]) ).
fof(f558,plain,
( ! [X0] :
( multiply(sk_c1,inverse(sk_c1)) != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f557,f143]) ).
fof(f559,plain,
( ! [X0] :
( multiply(sk_c1,identity) != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f558,f298]) ).
fof(f560,plain,
( ! [X0] :
( sk_c1 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f559,f262]) ).
fof(f561,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f560,f484]) ).
fof(f562,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c1)
| identity != X0 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f561,f115]) ).
fof(f563,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f562,f298]) ).
fof(f565,plain,
( identity != identity
| identity != sk_c1
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f563,f298]) ).
fof(f566,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f565]) ).
fof(f567,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f566,f484]) ).
fof(f568,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f569,plain,
( ! [X2,X1] :
( multiply(X1,X2) != inverse(sk_c1)
| inverse(X1) != X2 )
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f67,f115]) ).
fof(f570,plain,
( ! [X2,X1] :
( identity != multiply(X1,X2)
| inverse(X1) != X2 )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f569,f298]) ).
fof(f580,plain,
( ! [X0] :
( identity != X0
| inverse(identity) != X0 )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f570,f1]) ).
fof(f597,plain,
( ! [X0] :
( identity != X0
| identity != X0 )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f580,f504]) ).
fof(f598,plain,
( ! [X0] : identity != X0
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f610,plain,
( inverse(sk_c5) = inverse(sk_c1)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f75,f115]) ).
fof(f629,plain,
( inverse(sk_c4) = inverse(sk_c1)
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f99,f115]) ).
fof(f630,plain,
( inverse(sk_c1) = multiply(sk_c2,sk_c3)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f105,f115]) ).
fof(f631,plain,
( identity = inverse(sk_c5)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f610,f298]) ).
fof(f648,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f630,f298]) ).
fof(f649,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f631,f598]) ).
fof(f650,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f660,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f648,f598]) ).
fof(f661,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f674,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f124,f524]) ).
fof(f681,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f674,f115]) ).
fof(f686,plain,
( identity != multiply(sk_c1,identity)
| ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f681,f298]) ).
fof(f690,plain,
( identity != sk_c1
| ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f686,f262]) ).
fof(f694,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f690,f484]) ).
fof(f695,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f709,plain,
( multiply(sk_c1,sk_c8) != inverse(inverse(sk_c1))
| ~ spl0_3
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f124,f517]) ).
fof(f710,plain,
( sk_c8 = multiply(sk_c4,inverse(inverse(sk_c1)))
| ~ spl0_3
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f94,f517]) ).
fof(f823,plain,
( inverse(sk_c1) = inverse(inverse(sk_c1))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f199,f115]) ).
fof(f826,plain,
( multiply(sk_c1,inverse(sk_c1)) != inverse(inverse(sk_c1))
| ~ spl0_3
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f709,f115]) ).
fof(f827,plain,
( inverse(sk_c1) = multiply(sk_c4,inverse(inverse(sk_c1)))
| ~ spl0_3
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f710,f115]) ).
fof(f829,plain,
( inverse(sk_c1) != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f826,f823]) ).
fof(f830,plain,
( inverse(sk_c1) = multiply(sk_c4,inverse(sk_c1))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f827,f823]) ).
fof(f841,plain,
( identity = multiply(inverse(sk_c1),sk_c4)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f3,f629]) ).
fof(f871,plain,
( sk_c4 = multiply(inverse(inverse(sk_c1)),identity)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f160,f841]) ).
fof(f874,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f871,f238]) ).
fof(f875,plain,
( sk_c1 = sk_c4
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f874,f262]) ).
fof(f894,plain,
( inverse(sk_c1) = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f830,f875]) ).
fof(f895,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f894,f312]) ).
fof(f896,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f897,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f829,f311]) ).
fof(f898,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f899,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f89,f254]) ).
fof(f901,plain,
( sk_c8 = multiply(sk_c4,inverse(sk_c8))
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f94,f63]) ).
fof(f902,plain,
( ! [X4,X5] :
( inverse(sk_c8) != multiply(sk_c8,X4)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4 )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f57,f63]) ).
fof(f904,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f899,f63]) ).
fof(f908,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f3,f75]) ).
fof(f910,plain,
( ! [X0] : multiply(inverse(X0),X0) = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f157,f99]) ).
fof(f912,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f99]) ).
fof(f916,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f3,f904]) ).
fof(f923,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f160,f908]) ).
fof(f926,plain,
( inverse(sk_c8) = sk_c5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f923,f262]) ).
fof(f927,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f926,f904]) ).
fof(f935,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f84,f927]) ).
fof(f937,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f935,f916]) ).
fof(f943,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f160,f912]) ).
fof(f946,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f943,f262]) ).
fof(f948,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f946,f904]) ).
fof(f950,plain,
( sk_c8 = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f901,f948]) ).
fof(f952,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f950,f904]) ).
fof(f953,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f952,f916]) ).
fof(f982,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f912,f953]) ).
fof(f985,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f982,f1]) ).
fof(f1074,plain,
( ! [X0] :
( sk_c8 != inverse(sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X0,sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f902,f254]) ).
fof(f1079,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c6 != multiply(X0,sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1074,f904]) ).
fof(f1083,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c6 != multiply(X0,sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1079,f953]) ).
fof(f1085,plain,
( ! [X0] :
( sk_c6 != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1083,f953]) ).
fof(f1087,plain,
( ! [X0] :
( sk_c6 != X0
| identity != inverse(X0) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1085,f262]) ).
fof(f1089,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1087,f937]) ).
fof(f1619,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1089,f99]) ).
fof(f1627,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1619,f953]) ).
fof(f1634,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1627,f985]) ).
fof(f1635,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1636,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f70,f953]) ).
fof(f1637,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1636,f262]) ).
fof(f1638,plain,
( ! [X0] :
( inverse(sk_c8) != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1637,f63]) ).
fof(f1639,plain,
( ! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1638,f904]) ).
fof(f1640,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1639,f953]) ).
fof(f1641,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1640,f953]) ).
fof(f1646,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1641,f99]) ).
fof(f1654,plain,
( identity != sk_c4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1646,f953]) ).
fof(f1661,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1654,f985]) ).
fof(f1662,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1663,plain,
( ! [X2,X1] :
( identity != multiply(X1,X2)
| inverse(X1) != X2 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f67,f953]) ).
fof(f1741,plain,
( ! [X0] :
( identity != multiply(inverse(X0),X0)
| inverse(sk_c8) != sk_c4 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1663,f910]) ).
fof(f1765,plain,
( inverse(sk_c8) != sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1741,f3]) ).
fof(f1795,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1765,f948]) ).
fof(f1803,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1795,f904]) ).
fof(f1804,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1803]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f80]) ).
cnf(s7,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f101]) ).
cnf(s8,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s14,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f116]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s20,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f126]) ).
cnf(s21,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f127]) ).
cnf(s22,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s23,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s24,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s25,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f141]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f313]) ).
cnf(s32,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f369]) ).
cnf(s36,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f465]) ).
cnf(s37,plain,
( ~ spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f496]) ).
cnf(s38,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f515]) ).
cnf(s39,plain,
( ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f523]) ).
cnf(s40,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f554]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f568]) ).
cnf(s53,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f650]) ).
cnf(s57,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f661]) ).
cnf(s60,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f695]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f896]) ).
cnf(s69,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f898]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s89,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s90,plain,
spl0_3,
inference(rat,[],[s36,s38,s7,s13,s19,s25]) ).
cnf(s91,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s36,s41,s2,s8,s14,s20]) ).
cnf(s92,plain,
( ~ spl0_15
| ~ spl0_13
| ~ spl0_5 ),
inference(rat,[],[s60,s41,s90]) ).
cnf(s94,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s81,s15,s16,s17,s18,s91,s90]) ).
cnf(s96,plain,
( spl0_15
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s68,s69,s21,s22,s23,s24,s32,s90]) ).
cnf(s97,plain,
~ spl0_5,
inference(rat,[],[s96,s92,s94,s91]) ).
cnf(s98,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s96,s53]) ).
cnf(s99,plain,
( ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s36,s57,s2,s8,s98]) ).
cnf(s100,plain,
~ spl0_4,
inference(rat,[],[s89,s14,s15,s16,s17,s18,s99,s90]) ).
cnf(s101,plain,
( ~ spl0_15
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s29,s60,s37,s39,s90]) ).
cnf(s102,plain,
( spl0_15
| ~ spl0_13 ),
inference(rat,[],[s36,s2,s8,s96]) ).
cnf(s103,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s102,s101]) ).
cnf(s104,plain,
~ spl0_2,
inference(rat,[],[s26,s17,s18,s103,s90]) ).
cnf(s105,plain,
spl0_1,
inference(rat,[],[s1,s97,s90,s100,s104]) ).
cnf(s106,plain,
( ~ spl0_15
| ~ spl0_13 ),
inference(rat,[],[s60,s40,s105,s90]) ).
cnf(s107,plain,
~ spl0_13,
inference(rat,[],[s106,s102]) ).
cnf(s108,plain,
spl0_11,
inference(rat,[],[s18,s107]) ).
cnf(s109,plain,
spl0_10,
inference(rat,[],[s17,s107]) ).
cnf(s110,plain,
spl0_9,
inference(rat,[],[s16,s107]) ).
cnf(s111,plain,
spl0_8,
inference(rat,[],[s15,s107]) ).
cnf(s112,plain,
spl0_6,
inference(rat,[],[s14,s107]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s76,s110,s111,s112,s90,s105,s108,s109]) ).
fof(f1805,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP213-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42 % Computer : n011.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 09:37:30 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 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
% 0.23/0.54 % (2156857)Will run a generic schedule for satisfiability detection.
% 0.23/0.54 % (2156867)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2709259536:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.54 % (2156862)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1468557262_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.54 % TRYING [1]
% 0.23/0.54 % TRYING [2]
% 0.23/0.54 % TRYING [3]
% 0.23/0.54 % (2156863)% WARNING: option uhcvi not known.
% 0.23/0.54 % TRYING [4]
% 0.23/0.54 % (2156863)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=324146130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.54 % (2156866)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=961543270:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.54 % (2156865)dis+10_1_sil=32000:sp=arity:random_seed=1604280275:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.54 % (2156868)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=880937311:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.54 % (2156864)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4252030382:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.54 % TRYING [5]
% 0.23/0.54 % (2156867) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2156857-2156867"...
% 0.23/0.54 % (2156867)...printing done.
% 0.23/0.54 % (2156867)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55 % (2156867)------------------------------
% 0.23/0.55 % (2156867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.55 % (2156867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.55 % (2156867)CaDiCaL version: 2.1.3
% 0.23/0.55 % (2156867)Termination reason: Refutation
% 0.23/0.55 % (2156867)Time elapsed: 0.029 s
% 0.23/0.55 % (2156867)Peak memory usage: 13 MB
% 0.23/0.55 % (2156867)Instructions burned: 52 (million)
% 0.23/0.55 % (2156857)Success in time 0.054 s
% 0.23/0.55 % Vampire exiting
%------------------------------------------------------------------------------