%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP256-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:13:27 AM UTC 2026
% Result : Unsatisfiable 1.87s 1.30s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 227 ( 15 unt; 20 def)
% Number of atoms : 667 ( 221 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 849 ( 409 ~; 420 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 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/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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(f17,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
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(f31,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c6,sk_c9) = 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_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = 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_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
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(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_c9,X5) != sk_c8
| multiply(X6,sk_c9) != X5
| inverse(X6) != sk_c9 ),
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_c8 != multiply(sk_c9,X5)
| multiply(X6,sk_c9) != X5
| sk_c9 != 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_c8 != multiply(sk_c9,multiply(X6,sk_c9))
| sk_c9 != inverse(X6) ),
inference(equality_resolution,[],[f90]) ).
fof(f93,definition,
( spl0_1
<=> ! [X6] :
( sk_c8 != multiply(sk_c9,multiply(X6,sk_c9))
| sk_c9 != inverse(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f94,plain,
( ! [X6] :
( sk_c8 != multiply(sk_c9,multiply(X6,sk_c9))
| sk_c9 != 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_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ 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_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f111,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f118,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f120,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f123,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f125,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[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(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(f154,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f68,f148,f128]) ).
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(f184,plain,
( spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f181,f109]) ).
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(f195,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f18,f192,f109]) ).
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(f207,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_2 ),
inference(superposition,[],[f97,f1]) ).
fof(f209,definition,
( spl0_19
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f211,plain,
( sk_c8 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_20
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f214,plain,
( sk_c9 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f207,f96,f213,f209]) ).
fof(f217,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_17 ),
inference(superposition,[],[f3,f183]) ).
fof(f221,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f3,f150]) ).
fof(f222,plain,
( identity != sk_c9
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2 ),
inference(superposition,[],[f97,f3]) ).
fof(f224,definition,
( spl0_21
<=> sk_c8 = inverse(inverse(sk_c8)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f226,plain,
( sk_c8 != inverse(inverse(sk_c8))
| spl0_21 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl0_22
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f229,plain,
( identity = sk_c9
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( identity != sk_c9
| spl0_22 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f222,f96,f228,f224]) ).
fof(f234,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_18 ),
inference(superposition,[],[f4,f194]) ).
fof(f236,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f217]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f236,f1]) ).
fof(f245,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f234,f1]) ).
fof(f261,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f244,f194]) ).
fof(f269,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f235,f261]) ).
fof(f271,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f269,f194]) ).
fof(f363,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f245,f271]) ).
fof(f367,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_13 ),
inference(superposition,[],[f245,f145]) ).
fof(f374,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f245,f120]) ).
fof(f376,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f245,f172]) ).
fof(f387,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f376,f161]) ).
fof(f389,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f374,f111]) ).
fof(f393,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f367,f140]) ).
fof(f394,plain,
( identity = sk_c9
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f363,f3]) ).
fof(f408,plain,
( spl0_22
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f394,f192,f181,f228]) ).
fof(f409,plain,
( sk_c8 != inverse(sk_c9)
| spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f211,f229]) ).
fof(f410,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_22 ),
inference(superposition,[],[f1,f229]) ).
fof(f422,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f245,f387]) ).
fof(f425,plain,
( identity = sk_c8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f422,f3]) ).
fof(f429,plain,
( sk_c9 = sk_c8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f425,f229]) ).
fof(f430,plain,
( spl0_20
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f429,f228,f170,f159,f213]) ).
fof(f433,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f221,f214]) ).
fof(f434,plain,
( sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_20
| spl0_21 ),
inference(superposition,[],[f226,f214]) ).
fof(f440,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f433,f229]) ).
fof(f442,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f125,f389]) ).
fof(f446,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f245,f389]) ).
fof(f448,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f446,f3]) ).
fof(f452,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f448,f229]) ).
fof(f473,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f125,f410]) ).
fof(f485,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f473,f452]) ).
fof(f517,plain,
( sk_c9 = sk_c3
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f440,f410]) ).
fof(f521,plain,
( sk_c8 = inverse(sk_c9)
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f150,f517]) ).
fof(f522,plain,
( $false
| ~ spl0_14
| spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f521,f409]) ).
fof(f523,plain,
( ~ spl0_14
| spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f528,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f130,f214]) ).
fof(f539,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f3,f528]) ).
fof(f540,plain,
( identity = sk_c5
| ~ spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f539,f410]) ).
fof(f542,plain,
( sk_c9 = sk_c5
| ~ spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f540,f229]) ).
fof(f543,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f528,f542]) ).
fof(f548,plain,
( sk_c10 != sk_c10
| multiply(sk_c1,sk_c10) != sk_c9
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f100,f183]) ).
fof(f549,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f100,f140]) ).
fof(f553,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f549]) ).
fof(f554,plain,
( multiply(sk_c1,sk_c10) != sk_c9
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f558,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f553,f145]) ).
fof(f559,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f560,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f554,f194]) ).
fof(f561,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f568,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f94,f410]) ).
fof(f570,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_10
| ~ spl0_20
| spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f434,f543]) ).
fof(f578,plain,
( $false
| ~ spl0_10
| ~ spl0_20
| spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f570,f543]) ).
fof(f579,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f582,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f442,f123,f118,f109,f213]) ).
fof(f585,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f485,f228,f123,f118,f109,f213]) ).
fof(f586,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f568,f228,f93,f105]) ).
fof(f611,plain,
( ! [X1] :
( sk_c9 != inverse(X1)
| sk_c9 != multiply(X1,sk_c9) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f106,f214]) ).
fof(f616,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f611,f111]) ).
fof(f617,plain,
( sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f616]) ).
fof(f619,plain,
( sk_c9 != sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f617,f120]) ).
fof(f631,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f619,f452]) ).
fof(f632,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f634,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f103,f214]) ).
fof(f635,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c9) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f634,f214]) ).
fof(f640,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f635,f111]) ).
fof(f641,plain,
( sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f640]) ).
fof(f643,plain,
( sk_c9 != sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f641,f120]) ).
fof(f647,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f643,f452]) ).
fof(f648,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f668,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f635,f161]) ).
fof(f671,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f668]) ).
fof(f673,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f671,f172]) ).
fof(f674,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f673,f214]) ).
fof(f675,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f704,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f611,f161]) ).
fof(f705,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f704]) ).
fof(f708,plain,
( sk_c9 != sk_c8
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f705,f172]) ).
fof(f711,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f708,f214]) ).
fof(f712,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f816,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f245,f393]) ).
fof(f818,plain,
( identity = sk_c9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f816,f3]) ).
fof(f820,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f818,f230]) ).
fof(f821,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f820]) ).
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(s13,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f154]) ).
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(s31,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f184]) ).
cnf(s36,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s37,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f190]) ).
cnf(s38,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s43,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f200]) ).
cnf(s44,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f201]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f216]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f231]) ).
cnf(s56,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f408]) ).
cnf(s58,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f430]) ).
cnf(s59,plain,
( ~ spl0_14
| spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f523]) ).
cnf(s60,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f559]) ).
cnf(s61,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f561]) ).
cnf(s63,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f579]) ).
cnf(s64,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f582]) ).
cnf(s66,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f585]) ).
cnf(s67,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f586]) ).
cnf(s70,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f632]) ).
cnf(s72,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f648]) ).
cnf(s73,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f675]) ).
cnf(s74,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f712]) ).
cnf(s79,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_22 ),
inference(sat_conversion,[],[f821]) ).
cnf(s80,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s74,s58,s56,s17,s24,s31,s38]) ).
cnf(s81,plain,
( spl0_18
| spl0_22 ),
inference(rat,[],[s79,s43,s44]) ).
cnf(s82,plain,
( ~ spl0_18
| spl0_22 ),
inference(rat,[],[s79,s36,s37,s56]) ).
cnf(s83,plain,
spl0_22,
inference(rat,[],[s82,s81]) ).
cnf(s85,plain,
( spl0_20
| ~ spl0_15
| ~ spl0_6 ),
inference(rat,[],[s66,s25,s26,s58,s83]) ).
cnf(s86,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(rat,[],[s25,s70,s74,s85,s80,s83]) ).
cnf(s87,plain,
~ spl0_5,
inference(rat,[],[s70,s64,s18,s19,s86,s80,s83]) ).
cnf(s88,plain,
( ~ spl0_6
| spl0_20 ),
inference(rat,[],[s66,s18,s19,s85,s83]) ).
cnf(s89,plain,
spl0_20,
inference(rat,[],[s58,s17,s24,s88,s83]) ).
cnf(s90,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s73,s18,s25,s89]) ).
cnf(s91,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s73,s17,s24,s72,s83,s89]) ).
cnf(s92,plain,
~ spl0_4,
inference(rat,[],[s91,s90]) ).
cnf(s93,plain,
( spl0_18
| ~ spl0_3 ),
inference(rat,[],[s60,s43,s44]) ).
cnf(s94,plain,
( ~ spl0_18
| ~ spl0_3 ),
inference(rat,[],[s60,s36,s37,s61]) ).
cnf(s95,plain,
~ spl0_3,
inference(rat,[],[s94,s93]) ).
cnf(s96,plain,
~ spl0_2,
inference(rat,[],[s13,s59,s63,s47,s48,s89,s83]) ).
cnf(s97,plain,
~ spl0_1,
inference(rat,[],[s67,s83,s87]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s2,s87,s92,s97,s96,s95]) ).
fof(f822,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP256-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 % Computer : n019.cluster.edu
% 0.08/0.40 % Model : x86_64 x86_64
% 0.08/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.40 % Memory : 8046.5625MB
% 0.08/0.40 % OS : Linux 6.8.0-71-generic
% 0.08/0.40 % CPULimit : 300
% 0.08/0.40 % WCLimit : 300
% 0.08/0.40 % DateTime : Sun Sep 27 09:40:24 UTC 2026
% 0.08/0.40 % CPUTime :
% 0.08/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.43 Running first-order theorem proving
% 0.08/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.87/1.30 % (2842748)Input is clausal, will run a generic CNF schedule.
% 1.87/1.30 % (2842757)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2415749847:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.87/1.30 % (2842753)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2862651321:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.87/1.30 % (2842754)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1263074494:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.87/1.30 % (2842756)lrs+10_1_sil=8000:sp=occurrence:random_seed=651472160:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.87/1.30 % (2842755)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2917088014:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.87/1.30 % (2842757)Instruction limit reached!
% 1.87/1.30 % (2842757)------------------------------
% 1.87/1.30 % (2842757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.30 % (2842757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.30 % (2842757)CaDiCaL version: 2.1.3
% 1.87/1.30 % (2842757)Termination reason: Instruction limit
% 1.87/1.30 % (2842757)Termination phase: Saturation
% 1.87/1.30 % (2842757)Time elapsed: 0.035 s
% 1.87/1.30 % (2842757)Peak memory usage: 89 MB
% 1.87/1.30 % (2842757)Instructions burned: 115 (million)
% 1.87/1.30 % (2842759)dis-21_1_sil=8000:lcm=predicate:random_seed=2422162135:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.87/1.30 % (2842758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1011743740:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.87/1.30 % (2842759)Refutation not found, incomplete strategy
% 1.87/1.30 % (2842759)------------------------------
% 1.87/1.30 % (2842759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.30 % (2842759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.30 % (2842759)CaDiCaL version: 2.1.3
% 1.87/1.30 % (2842759)Termination reason: Refutation not found, incomplete strategy
% 1.87/1.30 % (2842759)Time elapsed: 0.002 s
% 1.87/1.30 % (2842759)Peak memory usage: 88 MB
% 1.87/1.30 % (2842759)Instructions burned: 2 (million)
% 1.87/1.30 % (2842758)First to succeed.
% 1.87/1.30 % (2842758)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2842748"
% 1.87/1.30 % (2842756)Instruction limit reached!
% 1.87/1.30 % (2842756)------------------------------
% 1.87/1.30 % (2842756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.30 % (2842756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.30 % (2842756)CaDiCaL version: 2.1.3
% 1.87/1.30 % (2842756)Termination reason: Instruction limit
% 1.87/1.30 % (2842756)Termination phase: Saturation
% 1.87/1.30 % (2842756)Time elapsed: 0.055 s
% 1.87/1.30 % (2842756)Peak memory usage: 89 MB
% 1.87/1.30 % (2842756)Instructions burned: 109 (million)
% 1.87/1.30 % (2842765)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2154842751:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 1.87/1.30 % (2842765)Instruction limit reached!
% 1.87/1.30 % (2842765)------------------------------
% 1.87/1.30 % (2842765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.30 % (2842765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.30 % (2842765)CaDiCaL version: 2.1.3
% 1.87/1.30 % (2842765)Termination reason: Instruction limit
% 1.87/1.30 % (2842765)Termination phase: Saturation
% 1.87/1.30 % (2842765)Time elapsed: 0.039 s
% 1.87/1.30 % (2842765)Peak memory usage: 90 MB
% 1.87/1.30 % (2842765)Instructions burned: 147 (million)
% 1.87/1.30 % (2842768)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1557153252:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 1.87/1.30 % (2842770)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=773898391:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 1.87/1.30 % (2842759)------------------------------
% 1.87/1.30 % (2842759)------------------------------
% 1.87/1.30 % (2842758)Refutation found. Thanks to Tanya!
% 1.87/1.30 % SZS status Unsatisfiable for theBenchmark
% 1.87/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/1.39 % (2842758)------------------------------
% 1.87/1.39 % (2842758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.39 % (2842758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.39 % (2842758)CaDiCaL version: 2.1.3
% 1.87/1.39 % (2842758)Termination reason: Refutation
% 1.87/1.39 % (2842758)Time elapsed: 0.018 s
% 1.87/1.39 % (2842758)Peak memory usage: 90 MB
% 1.87/1.39 % (2842758)Instructions burned: 28 (million)
% 1.87/1.39 % (2842758)------------------------------
% 1.87/1.39 % (2842758)------------------------------
% 1.87/1.39 % (2842748)Success in time 0.431 s
% 1.87/1.39 % Vampire exiting
%------------------------------------------------------------------------------