%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP257-1 : 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 : n006.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 10:17:18 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 232 ( 18 unt; 19 def)
% Number of atoms : 667 ( 226 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 826 ( 391 ~; 416 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 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_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f79,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c8
| multiply(sk_c8,X5) != sk_c9
| multiply(X6,sk_c8) != X5
| inverse(X6) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c9 != multiply(sk_c8,X5)
| multiply(X6,sk_c8) != X5
| sk_c8 != inverse(X6) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X6,X4] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c9 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X6) ),
inference(equality_resolution,[],[f90]) ).
fof(f93,definition,
( spl0_1
<=> ! [X6] :
( sk_c9 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f94,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f97,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_3
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f100,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f103,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,definition,
( spl0_5
<=> ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f106,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f91,f99,f105,f102,f99,f96,f93]) ).
fof(f109,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f111,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f113,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f115,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f88,f113,f109]) ).
fof(f118,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f120,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f86,f113,f118]) ).
fof(f123,definition,
( spl0_9
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f125,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f84,f113,f123]) ).
fof(f128,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f130,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f82,f113,f128]) ).
fof(f133,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f135,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f80,f113,f133]) ).
fof(f138,definition,
( spl0_12
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f140,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f143,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f145,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f148,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f150,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f74,f148,f109]) ).
fof(f152,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f72,f148,f118]) ).
fof(f153,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f70,f148,f123]) ).
fof(f154,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f68,f148,f128]) ).
fof(f155,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f66,f148,f133]) ).
fof(f159,definition,
( spl0_15
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f161,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f60,f159,f109]) ).
fof(f163,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f58,f159,f118]) ).
fof(f164,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f56,f159,f123]) ).
fof(f170,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f172,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f46,f170,f109]) ).
fof(f174,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f44,f170,f118]) ).
fof(f175,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f42,f170,f123]) ).
fof(f181,definition,
( spl0_17
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f183,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f189,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f22,f181,f138]) ).
fof(f190,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f20,f181,f143]) ).
fof(f192,definition,
( spl0_18
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f194,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f200,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f192,f138]) ).
fof(f201,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f6,f192,f143]) ).
fof(f202,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f97,f135]) ).
fof(f204,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f202]) ).
fof(f208,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f204,f133,f96,f128]) ).
fof(f215,definition,
( spl0_20
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f216,plain,
( sk_c9 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f236,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f172]) ).
fof(f245,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f236,f1]) ).
fof(f370,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f245,f120]) ).
fof(f372,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f245,f172]) ).
fof(f374,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f245,f115]) ).
fof(f381,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f374,f150]) ).
fof(f383,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f372,f161]) ).
fof(f385,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f370,f111]) ).
fof(f398,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f242,f383]) ).
fof(f404,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f398,f381]) ).
fof(f406,plain,
( sk_c9 = sk_c8
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f404,f172]) ).
fof(f408,plain,
( spl0_20
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f406,f170,f159,f148,f113,f215]) ).
fof(f409,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f115,f216]) ).
fof(f417,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f383,f216]) ).
fof(f419,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f125,f385]) ).
fof(f428,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f97,f409]) ).
fof(f432,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f428,f216]) ).
fof(f434,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f432,f150]) ).
fof(f435,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f436,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c9 != inverse(X1) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f106,f216]) ).
fof(f437,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f436,f216]) ).
fof(f444,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f437,f409]) ).
fof(f445,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f444]) ).
fof(f447,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f445,f150]) ).
fof(f448,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f453,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f103,f216]) ).
fof(f479,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f453,f409]) ).
fof(f490,plain,
( ! [X6] :
( sk_c8 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f94,f216]) ).
fof(f497,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f490,f120]) ).
fof(f499,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f490,f409]) ).
fof(f502,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f499,f417]) ).
fof(f504,plain,
( sk_c8 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f497,f385]) ).
fof(f509,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f502,f150]) ).
fof(f510,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f511,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f504,f111]) ).
fof(f512,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f514,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f100,f216]) ).
fof(f518,plain,
( sk_c9 != sk_c8
| sk_c10 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f514,f194]) ).
fof(f519,plain,
( sk_c9 != sk_c8
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f514,f145]) ).
fof(f520,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f519,f216]) ).
fof(f521,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f518,f216]) ).
fof(f540,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f520,f140]) ).
fof(f541,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f542,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f521,f183]) ).
fof(f543,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f547,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f479]) ).
fof(f550,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f547,f215,f113,f102,f148]) ).
fof(f551,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f135,f216]) ).
fof(f582,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f453,f551]) ).
fof(f590,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f582]) ).
fof(f592,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f590,f130]) ).
fof(f593,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f605,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f437,f551]) ).
fof(f613,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f605]) ).
fof(f616,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f613,f130]) ).
fof(f617,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f620,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f419,f123,f118,f109,f215]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f107]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f116]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f121]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f131]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s11,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s12,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f153]) ).
cnf(s13,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f154]) ).
cnf(s14,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f155]) ).
cnf(s17,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s18,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s19,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f164]) ).
cnf(s24,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f173]) ).
cnf(s25,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f174]) ).
cnf(s26,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f175]) ).
cnf(s36,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s37,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f190]) ).
cnf(s43,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f200]) ).
cnf(s44,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f201]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f208]) ).
cnf(s50,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f408]) ).
cnf(s52,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f435]) ).
cnf(s53,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f448]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f510]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f512]) ).
cnf(s59,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(sat_conversion,[],[f541]) ).
cnf(s60,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f543]) ).
cnf(s61,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f550]) ).
cnf(s63,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f593]) ).
cnf(s64,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f617]) ).
cnf(s65,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f620]) ).
cnf(s67,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s53,s50,s3,s10,s17,s24]) ).
cnf(s68,plain,
( spl0_16
| spl0_20
| ~ spl0_6 ),
inference(rat,[],[s65,s25,s26]) ).
cnf(s69,plain,
( ~ spl0_14
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s65,s18,s19,s50,s68,s53,s67]) ).
cnf(s70,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s65,s64,s11,s12,s13,s14,s67]) ).
cnf(s71,plain,
~ spl0_5,
inference(rat,[],[s65,s64,s4,s5,s6,s7,s69,s70,s67]) ).
cnf(s72,plain,
( ~ spl0_14
| ~ spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s65,s18,s19,s50,s68,s61]) ).
cnf(s73,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s65,s63,s11,s12,s13,s14]) ).
cnf(s74,plain,
( ~ spl0_14
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s65,s63,s4,s5,s6,s7,s72]) ).
cnf(s75,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s74,s73]) ).
cnf(s76,plain,
~ spl0_4,
inference(rat,[],[s61,s50,s3,s10,s17,s24,s75]) ).
cnf(s77,plain,
( spl0_20
| ~ spl0_7
| ~ spl0_14
| ~ spl0_6 ),
inference(rat,[],[s65,s18,s19,s50,s68]) ).
cnf(s79,plain,
( spl0_13
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s60,s37,s44]) ).
cnf(s80,plain,
( ~ spl0_13
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s60,s36,s43,s59]) ).
cnf(s81,plain,
( ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s80,s79]) ).
cnf(s82,plain,
( spl0_7
| ~ spl0_6
| spl0_20 ),
inference(rat,[],[s65,s4,s5]) ).
cnf(s83,plain,
( ~ spl0_7
| ~ spl0_6
| spl0_20 ),
inference(rat,[],[s65,s11,s12,s77]) ).
cnf(s84,plain,
( ~ spl0_6
| spl0_20 ),
inference(rat,[],[s83,s82]) ).
cnf(s85,plain,
spl0_20,
inference(rat,[],[s50,s3,s10,s17,s24,s84]) ).
cnf(s86,plain,
~ spl0_3,
inference(rat,[],[s81,s85]) ).
cnf(s87,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s46,s13,s14]) ).
cnf(s88,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s46,s6,s7,s52,s85]) ).
cnf(s89,plain,
~ spl0_2,
inference(rat,[],[s88,s87]) ).
cnf(s90,plain,
spl0_1,
inference(rat,[],[s2,s76,s71,s86,s89]) ).
cnf(s91,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s55,s18,s25,s90,s85]) ).
cnf(s92,plain,
( ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s55,s17,s24,s56,s91,s85,s90]) ).
cnf(s93,plain,
spl0_14,
inference(rat,[],[s56,s10,s11,s85,s90]) ).
cnf(s94,plain,
~ spl0_7,
inference(rat,[],[s92,s93]) ).
cnf(s100,plain,
spl0_8,
inference(rat,[],[s4,s94]) ).
cnf(s101,plain,
spl0_6,
inference(rat,[],[s3,s94]) ).
cnf(s102,plain,
$false,
inference(rat,[],[s56,s90,s85,s101,s100]) ).
fof(f624,plain,
$false,
inference(avatar_sat_refutation,[],[s102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP257-1 : 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 : n006.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 09:43:25 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 0.10/0.46 % (2740535)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2740540)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=975911542_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2740543)dis+10_1_sil=32000:sp=arity:random_seed=4045142061:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2740542)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3935022044:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2740544)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3892036614:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2740545)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2248177522:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2740546)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1809884100:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2740541)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2740541)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=374745996:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (2740541) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2740535-2740541"...
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (2740541)...printing done.
% 0.10/0.46 % (2740541)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2740541)------------------------------
% 0.10/0.46 % (2740541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2740541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2740541)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2740541)Termination reason: Refutation
% 0.10/0.46 % (2740541)Time elapsed: 0.008 s
% 0.10/0.46 % (2740541)Peak memory usage: 12 MB
% 0.10/0.46 % (2740541)Instructions burned: 22 (million)
% 0.10/0.46 % (2740535)Success in time 0.041 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------