%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP257-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 1.91s 1.30s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 43
% Syntax : Number of formulae : 242 ( 19 unt; 19 def)
% Number of atoms : 706 ( 234 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 891 ( 427 ~; 445 |; 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 : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f221,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f3,f111]) ).
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(f252,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f221]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f303,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f253,f120]) ).
fof(f316,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f125,f303]) ).
fof(f322,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f316,f123,f118,f109,f215]) ).
fof(f323,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f115,f216]) ).
fof(f324,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f172,f216]) ).
fof(f329,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f97,f323]) ).
fof(f331,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f329,f216]) ).
fof(f332,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f331,f150]) ).
fof(f333,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f399,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f245,f172]) ).
fof(f401,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f245,f115]) ).
fof(f407,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f401,f150]) ).
fof(f409,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f399,f161]) ).
fof(f434,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f242,f409]) ).
fof(f441,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f434,f407]) ).
fof(f443,plain,
( sk_c9 = sk_c8
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f441,f172]) ).
fof(f449,plain,
( spl0_20
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f443,f170,f159,f148,f113,f215]) ).
fof(f462,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c9 != inverse(X1) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f106,f216]) ).
fof(f463,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f462,f216]) ).
fof(f471,plain,
( sk_c9 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f463,f161]) ).
fof(f472,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f463,f150]) ).
fof(f473,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f475,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f471,f216]) ).
fof(f490,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f323,f473]) ).
fof(f491,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f492,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f103,f216]) ).
fof(f497,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f492,f150]) ).
fof(f498,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f501,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f323,f498]) ).
fof(f502,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f503,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f100,f216]) ).
fof(f510,plain,
( sk_c9 != sk_c8
| sk_c10 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f503,f194]) ).
fof(f511,plain,
( sk_c9 != sk_c8
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f503,f145]) ).
fof(f512,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f511,f216]) ).
fof(f513,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f510,f216]) ).
fof(f515,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f512,f140]) ).
fof(f516,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f517,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f513,f183]) ).
fof(f518,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f519,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c8,multiply(X6,sk_c8)) )
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f94,f216]) ).
fof(f526,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c6,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f519,f111]) ).
fof(f527,plain,
( sk_c9 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f519,f161]) ).
fof(f530,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c6,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f526]) ).
fof(f532,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f527,f216]) ).
fof(f533,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f530,f253]) ).
fof(f534,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f536,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f532,f324]) ).
fof(f539,plain,
( sk_c9 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f536,f407]) ).
fof(f540,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f539,f216]) ).
fof(f541,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f545,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f475,f324]) ).
fof(f546,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f562,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f463,f130]) ).
fof(f568,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f562]) ).
fof(f570,plain,
( sk_c9 != sk_c8
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f568,f135]) ).
fof(f571,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f570,f216]) ).
fof(f572,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f580,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f492,f130]) ).
fof(f586,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f588,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f586,f135]) ).
fof(f589,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f588,f216]) ).
fof(f590,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f589]) ).
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(s49,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f322]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f333]) ).
cnf(s61,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f449]) ).
cnf(s65,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f491]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f502]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(sat_conversion,[],[f516]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f518]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f534]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f541]) ).
cnf(s72,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f546]) ).
cnf(s73,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f572]) ).
cnf(s74,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f590]) ).
cnf(s75,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s61,s72,s3,s10,s17,s24]) ).
cnf(s76,plain,
( spl0_16
| spl0_20
| ~ spl0_6 ),
inference(rat,[],[s49,s25,s26]) ).
cnf(s77,plain,
( ~ spl0_14
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s49,s18,s19,s61,s76,s65,s75]) ).
cnf(s78,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s49,s73,s11,s12,s13,s14,s75]) ).
cnf(s79,plain,
~ spl0_5,
inference(rat,[],[s49,s73,s4,s5,s6,s7,s77,s78,s75]) ).
cnf(s80,plain,
( ~ spl0_14
| ~ spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s49,s18,s19,s61,s76,s66]) ).
cnf(s81,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s49,s74,s11,s12,s13,s14]) ).
cnf(s82,plain,
( ~ spl0_14
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s49,s74,s4,s5,s6,s7,s80]) ).
cnf(s83,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s82,s81]) ).
cnf(s84,plain,
~ spl0_4,
inference(rat,[],[s66,s61,s3,s10,s17,s24,s83]) ).
cnf(s85,plain,
( spl0_20
| ~ spl0_7
| ~ spl0_14
| ~ spl0_6 ),
inference(rat,[],[s49,s18,s19,s61,s76]) ).
cnf(s87,plain,
( spl0_13
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s68,s37,s44]) ).
cnf(s88,plain,
( ~ spl0_13
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s68,s36,s43,s67]) ).
cnf(s89,plain,
( ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s88,s87]) ).
cnf(s90,plain,
( spl0_7
| ~ spl0_6
| spl0_20 ),
inference(rat,[],[s49,s4,s5]) ).
cnf(s91,plain,
( ~ spl0_7
| ~ spl0_6
| spl0_20 ),
inference(rat,[],[s49,s11,s12,s85]) ).
cnf(s92,plain,
( ~ spl0_6
| spl0_20 ),
inference(rat,[],[s91,s90]) ).
cnf(s93,plain,
spl0_20,
inference(rat,[],[s61,s3,s10,s17,s24,s92]) ).
cnf(s94,plain,
~ spl0_3,
inference(rat,[],[s89,s93]) ).
cnf(s95,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s46,s13,s14]) ).
cnf(s96,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s46,s6,s7,s51,s93]) ).
cnf(s97,plain,
~ spl0_2,
inference(rat,[],[s96,s95]) ).
cnf(s98,plain,
spl0_1,
inference(rat,[],[s2,s84,s79,s94,s97]) ).
cnf(s99,plain,
~ spl0_6,
inference(rat,[],[s69,s93,s98]) ).
cnf(s102,plain,
spl0_16,
inference(rat,[],[s24,s99]) ).
cnf(s103,plain,
spl0_15,
inference(rat,[],[s17,s99]) ).
cnf(s104,plain,
spl0_14,
inference(rat,[],[s10,s99]) ).
cnf(s105,plain,
spl0_7,
inference(rat,[],[s3,s99]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s71,s93,s102,s98,s103,s104,s105]) ).
fof(f591,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n003.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 09:45:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.91/1.30 % (257580)Input is clausal, will run a generic CNF schedule.
% 1.91/1.30 % (257591)dis-21_1_sil=8000:lcm=predicate:random_seed=3787146020: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)
% 1.91/1.30 % (257591)Refutation not found, incomplete strategy
% 1.91/1.30 % (257591)------------------------------
% 1.91/1.30 % (257591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.30 % (257591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.30 % (257591)CaDiCaL version: 2.1.3
% 1.91/1.30 % (257591)Termination reason: Refutation not found, incomplete strategy
% 1.91/1.30 % (257591)Time elapsed: 0.001 s
% 1.91/1.30 % (257591)Peak memory usage: 88 MB
% 1.91/1.30 % (257591)Instructions burned: 2 (million)
% 1.91/1.30 % (257587)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=312043892:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.91/1.30 % (257588)lrs+10_1_sil=8000:sp=occurrence:random_seed=3207379077:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.91/1.30 % (257586)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2727535511:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.91/1.30 % (257589)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4172602491:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.91/1.30 % (257590)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1304065872:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.91/1.30 % (257585)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=2283578878:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.91/1.30 % (257590)First to succeed.
% 1.91/1.30 % (257590)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-257580"
% 1.91/1.30 % (257588)Instruction limit reached!
% 1.91/1.30 % (257588)------------------------------
% 1.91/1.30 % (257588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.30 % (257588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.30 % (257588)CaDiCaL version: 2.1.3
% 1.91/1.30 % (257588)Termination reason: Instruction limit
% 1.91/1.30 % (257588)Termination phase: Saturation
% 1.91/1.30 % (257588)Time elapsed: 0.053 s
% 1.91/1.30 % (257588)Peak memory usage: 89 MB
% 1.91/1.30 % (257588)Instructions burned: 108 (million)
% 1.91/1.30 % (257589)Instruction limit reached!
% 1.91/1.30 % (257589)------------------------------
% 1.91/1.30 % (257589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.30 % (257589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.30 % (257589)CaDiCaL version: 2.1.3
% 1.91/1.30 % (257589)Termination reason: Instruction limit
% 1.91/1.30 % (257589)Termination phase: Saturation
% 1.91/1.30 % (257589)Time elapsed: 0.065 s
% 1.91/1.30 % (257589)Peak memory usage: 89 MB
% 1.91/1.30 % (257589)Instructions burned: 115 (million)
% 1.91/1.30 % (257591)------------------------------
% 1.91/1.30 % (257591)------------------------------
% 1.91/1.30 % (257599)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=4237902656:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.91/1.30 % (257601)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=710580936:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 1.91/1.30 % (257600)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=529601867: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)
% 1.91/1.30 % (257590)Refutation found. Thanks to Tanya!
% 1.91/1.30 % SZS status Unsatisfiable for theBenchmark
% 1.91/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (257590)------------------------------
% 0.17/1.50 % (257590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (257590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (257590)CaDiCaL version: 2.1.3
% 0.17/1.50 % (257590)Termination reason: Refutation
% 0.17/1.50 % (257590)Time elapsed: 0.014 s
% 0.17/1.50 % (257590)Peak memory usage: 89 MB
% 0.17/1.50 % (257590)Instructions burned: 21 (million)
% 0.17/1.50 % (257590)------------------------------
% 0.17/1.50 % (257590)------------------------------
% 0.17/1.50 % (257580)Success in time 0.45 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------