%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP265-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:19 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 36
% Syntax : Number of formulae : 245 ( 18 unt; 18 def)
% Number of atoms : 732 ( 246 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 954 ( 467 ~; 469 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c7
| multiply(sk_c7,X4) != sk_c8
| multiply(X5,sk_c7) != X4
| inverse(X5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(sk_c7,X4)
| multiply(X5,sk_c7) != X4
| sk_c7 != inverse(X5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X5] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) ),
inference(equality_resolution,[],[f62]) ).
fof(f65,definition,
( spl0_1
<=> ! [X5] :
( sk_c8 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f66,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_3
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f75,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f63,f71,f74,f71,f68,f65]) ).
fof(f78,definition,
( spl0_5
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f84,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f82,f78]) ).
fof(f87,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f82,f87]) ).
fof(f92,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c7,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f94,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f82,f92]) ).
fof(f97,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f99,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f54,f82,f97]) ).
fof(f102,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f52,f82,f102]) ).
fof(f107,definition,
( spl0_11
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f109,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f112,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f114,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f117,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f118,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| spl0_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f117,f78]) ).
fof(f121,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f117,f87]) ).
fof(f122,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f117,f92]) ).
fof(f128,definition,
( spl0_14
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f130,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f128,f78]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f128,f107]) ).
fof(f137,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f128,f112]) ).
fof(f139,definition,
( spl0_15
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f141,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f139,f78]) ).
fof(f147,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f8,f139,f107]) ).
fof(f148,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f6,f139,f112]) ).
fof(f149,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f69,f104]) ).
fof(f151,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f149]) ).
fof(f155,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f151,f102,f68,f97]) ).
fof(f158,definition,
( spl0_16
<=> sk_c7 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f159,plain,
( sk_c7 = inverse(identity)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( sk_c7 != inverse(identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f163,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f130]) ).
fof(f167,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f109]) ).
fof(f169,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f84]) ).
fof(f176,definition,
( spl0_19
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f177,plain,
( identity = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( identity != sk_c8
| spl0_19 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f182,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f141]) ).
fof(f189,plain,
( ! [X0,X1] :
( sk_c8 != multiply(X0,multiply(X1,sk_c7))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl0_2 ),
inference(superposition,[],[f69,f4]) ).
fof(f190,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f182,f1]) ).
fof(f193,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f166]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f193,f1]) ).
fof(f206,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f194,f141]) ).
fof(f218,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f183,f206]) ).
fof(f220,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f218,f141]) ).
fof(f297,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_14 ),
inference(superposition,[],[f190,f166]) ).
fof(f299,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl0_11 ),
inference(superposition,[],[f190,f167]) ).
fof(f301,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f190,f220]) ).
fof(f302,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f190,f114]) ).
fof(f310,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f190,f89]) ).
fof(f312,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f190,f119]) ).
fof(f314,plain,
( ! [X0] :
( sk_c8 != sk_c7
| sk_c7 != inverse(multiply(inverse(X0),X0)) )
| ~ spl0_2 ),
inference(superposition,[],[f189,f190]) ).
fof(f317,plain,
( sk_c7 != inverse(identity)
| sk_c8 != sk_c7
| ~ spl0_2 ),
inference(forward_demodulation,[],[f314,f3]) ).
fof(f319,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f312,f84]) ).
fof(f321,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f310,f80]) ).
fof(f324,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f302,f109]) ).
fof(f325,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f301,f3]) ).
fof(f330,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f321,f94]) ).
fof(f337,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f330,f92,f87,f78,f162]) ).
fof(f339,plain,
( spl0_19
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f325,f139,f128,f176]) ).
fof(f346,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f169,f177]) ).
fof(f352,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f346,f1]) ).
fof(f356,plain,
( sk_c8 = inverse(identity)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f84,f352]) ).
fof(f357,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f356,f177]) ).
fof(f364,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f319,f177]) ).
fof(f365,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f364,f1]) ).
fof(f400,plain,
( sk_c1 = sk_c3
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f299,f297]) ).
fof(f404,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f114,f400]) ).
fof(f418,plain,
( identity != sk_c7
| sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f317,f357]) ).
fof(f423,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f418,f365]) ).
fof(f426,plain,
( identity != sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f423,f365]) ).
fof(f431,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f426,f177]) ).
fof(f432,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f433,plain,
( ! [X5] :
( sk_c8 != multiply(identity,multiply(X5,identity))
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f66,f365]) ).
fof(f435,plain,
( ! [X5] :
( sk_c8 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f433,f1]) ).
fof(f436,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f435,f177]) ).
fof(f437,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f436,f365]) ).
fof(f440,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f437,f3]) ).
fof(f442,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f440]) ).
fof(f453,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f442,f357]) ).
fof(f456,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f453,f357]) ).
fof(f457,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f458,plain,
( ! [X2] :
( identity != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f72,f177]) ).
fof(f463,plain,
( identity != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f458,f141]) ).
fof(f464,plain,
( identity != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f458,f114]) ).
fof(f466,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f464,f177]) ).
fof(f467,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f463,f177]) ).
fof(f470,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f466,f109]) ).
fof(f471,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f472,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f467,f130]) ).
fof(f473,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f474,plain,
( ! [X1] :
( sk_c7 != multiply(X1,identity)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f75,f177]) ).
fof(f475,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f474,f365]) ).
fof(f476,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f475,f177]) ).
fof(f480,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f476,f3]) ).
fof(f482,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f485,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f482,f357]) ).
fof(f488,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f485,f357]) ).
fof(f489,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f490,plain,
( ! [X5] :
( identity != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f66,f177]) ).
fof(f493,plain,
( sk_c7 != multiply(sk_c2,identity)
| spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f118,f177]) ).
fof(f494,plain,
( identity = sk_c7
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f163,f177]) ).
fof(f496,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl0_6
| spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f493,f352]) ).
fof(f497,plain,
( identity != sk_c7
| ~ spl0_6
| spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f496,f1]) ).
fof(f499,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f80]) ).
fof(f504,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f99]) ).
fof(f505,plain,
( $false
| ~ spl0_6
| spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f494,f497]) ).
fof(f506,plain,
( ~ spl0_6
| spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f526,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f490,f494]) ).
fof(f527,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f526,f1]) ).
fof(f528,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f527,f494]) ).
fof(f535,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f528,f1]) ).
fof(f540,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f535]) ).
fof(f542,plain,
( identity != inverse(identity)
| spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f160,f494]) ).
fof(f543,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f499,f494]) ).
fof(f544,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f543,f1]) ).
fof(f545,plain,
( sk_c7 = inverse(identity)
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f80,f544]) ).
fof(f550,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f545,f494]) ).
fof(f553,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f550,f540]) ).
fof(f554,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f567,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f504,f494]) ).
fof(f568,plain,
( identity = sk_c4
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f567,f1]) ).
fof(f569,plain,
( sk_c7 = inverse(identity)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f99,f568]) ).
fof(f574,plain,
( identity = inverse(identity)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f569,f494]) ).
fof(f577,plain,
( $false
| ~ spl0_9
| spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f574,f542]) ).
fof(f578,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f582,plain,
( spl0_15
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f404,f128,f112,f107,f139]) ).
fof(f590,plain,
( sk_c8 = inverse(identity)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f159,f163]) ).
fof(f591,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f75,f163]) ).
fof(f595,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f591,f1]) ).
fof(f598,plain,
( sk_c8 != inverse(identity)
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f595]) ).
fof(f599,plain,
( $false
| ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f598,f590]) ).
fof(f600,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f612,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f190,f324]) ).
fof(f614,plain,
( identity = sk_c8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f612,f3]) ).
fof(f625,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f614,f178]) ).
fof(f626,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f625]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f76]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f85]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f95]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f100]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f105]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s12,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s17,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s22,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f142]) ).
cnf(s29,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s32,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f155]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f337]) ).
cnf(s41,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f339]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f432]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f457]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f471]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(sat_conversion,[],[f473]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f489]) ).
cnf(s58,plain,
( ~ spl0_6
| spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f506]) ).
cnf(s60,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f554]) ).
cnf(s62,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f578]) ).
cnf(s66,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f582]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f600]) ).
cnf(s69,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f626]) ).
cnf(s70,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s56,s41,s3,s10,s17,s24]) ).
cnf(s71,plain,
( spl0_15
| spl0_19 ),
inference(rat,[],[s69,s29,s30]) ).
cnf(s72,plain,
( ~ spl0_15
| spl0_19 ),
inference(rat,[],[s69,s22,s23,s41]) ).
cnf(s73,plain,
spl0_19,
inference(rat,[],[s72,s71]) ).
cnf(s74,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s39,s11,s12,s58,s56,s70,s73]) ).
cnf(s75,plain,
~ spl0_4,
inference(rat,[],[s62,s67,s39,s4,s5,s6,s74,s70,s73]) ).
cnf(s76,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s66,s29,s30,s53,s73]) ).
cnf(s77,plain,
~ spl0_3,
inference(rat,[],[s52,s22,s23,s76,s73]) ).
cnf(s79,plain,
( spl0_13
| ~ spl0_6 ),
inference(rat,[],[s39,s10,s11,s12,s58,s73]) ).
cnf(s80,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s79,s48,s73]) ).
cnf(s81,plain,
~ spl0_2,
inference(rat,[],[s32,s6,s7,s80]) ).
cnf(s82,plain,
spl0_1,
inference(rat,[],[s2,s75,s77,s81]) ).
cnf(s83,plain,
~ spl0_6,
inference(rat,[],[s79,s51,s82,s73]) ).
cnf(s88,plain,
spl0_8,
inference(rat,[],[s5,s83]) ).
cnf(s89,plain,
spl0_7,
inference(rat,[],[s4,s83]) ).
cnf(s90,plain,
spl0_5,
inference(rat,[],[s3,s83]) ).
cnf(s91,plain,
spl0_17,
inference(rat,[],[s39,s88,s90,s89]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s60,s73,s82,s91,s90]) ).
fof(f627,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP265-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:44:00 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.47 % (2159377)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2159384)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2123387306:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2159383)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2159385)dis+10_1_sil=32000:sp=arity:random_seed=1257944253:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2159382)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1958336636_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (2159383)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4054848681:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2159386)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3180362042:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2159387)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=321975642:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (2159388)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3914442609:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (2159385) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2159377-2159385"...
% 0.17/0.47 % (2159386) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2159377-2159386"...
% 0.17/0.47 % (2159383) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2159377-2159383"...
% 0.17/0.47 % (2159385)...printing done.
% 0.17/0.47 % (2159385)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (2159385)------------------------------
% 0.17/0.48 % (2159385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (2159385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (2159385)CaDiCaL version: 2.1.3
% 0.17/0.48 % (2159385)Termination reason: Refutation
% 0.17/0.48 % (2159385)Time elapsed: 0.015 s
% 0.17/0.48 % (2159385)Peak memory usage: 12 MB
% 0.17/0.48 % (2159385)Instructions burned: 22 (million)
% 0.17/0.48 % (2159377)Success in time 0.054 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------