%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP298-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:34 AM UTC 2026
% Result : Unsatisfiable 2.81s 1.26s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 40
% Syntax : Number of formulae : 233 ( 20 unt; 14 def)
% Number of atoms : 696 ( 233 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 853 ( 390 ~; 449 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 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_c8,sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f53,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f63,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f65]) ).
fof(f69,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,X4) != sk_c7
| inverse(X3) != X4
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c6) ),
inference(equality_resolution,[],[f70]) ).
fof(f73,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f74,plain,
( ! [X3] :
( sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f77,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f84,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_6
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f91,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f71,f90,f83,f86,f83,f79,f76,f73]) ).
fof(f100,definition,
( spl0_8
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f102,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f66,f86,f100]) ).
fof(f105,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f107,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f64,f86,f105]) ).
fof(f110,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f115,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f119,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f58,f86,f79]) ).
fof(f121,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f123,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f56,f86,f121]) ).
fof(f126,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f86,f126]) ).
fof(f131,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f137,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f131,f110]) ).
fof(f138,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f131,f115]) ).
fof(f139,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f131,f79]) ).
fof(f140,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f131,f121]) ).
fof(f141,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f131,f126]) ).
fof(f143,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f145,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f149,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f143,f110]) ).
fof(f150,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f143,f115]) ).
fof(f151,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f143,f79]) ).
fof(f152,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f143,f121]) ).
fof(f153,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f143,f126]) ).
fof(f155,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f90,f100]) ).
fof(f156,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f90,f105]) ).
fof(f157,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f90,f110]) ).
fof(f158,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f90,f115]) ).
fof(f159,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f90,f79]) ).
fof(f160,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f90,f121]) ).
fof(f161,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f90,f126]) ).
fof(f162,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f102]) ).
fof(f163,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f117]) ).
fof(f164,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f3,f123]) ).
fof(f166,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f174,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f166,f1]) ).
fof(f176,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f162]) ).
fof(f177,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f176,f1]) ).
fof(f178,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f163]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f188,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f177,f107]) ).
fof(f200,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f179,f112]) ).
fof(f236,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f174,f128]) ).
fof(f239,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f174,f188]) ).
fof(f241,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f174,f80]) ).
fof(f243,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f174,f164]) ).
fof(f251,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f239,f3]) ).
fof(f253,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f236,f123]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1,f251]) ).
fof(f270,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f243,f251]) ).
fof(f271,plain,
( sk_c6 = sk_c2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f270,f241]) ).
fof(f274,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f128,f271]) ).
fof(f280,plain,
( sk_c8 != sk_c6
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f92,f253]) ).
fof(f281,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f274,f126,f121,f105,f100,f79,f86]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f87]) ).
fof(f289,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f288,f257]) ).
fof(f304,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f289,f80]) ).
fof(f306,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f289,f163]) ).
fof(f313,plain,
( sk_c3 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f306,f251]) ).
fof(f334,plain,
( sk_c6 = sk_c3
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f313,f304]) ).
fof(f338,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f112,f334]) ).
fof(f349,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f338,f304]) ).
fof(f361,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f349,f280]) ).
fof(f362,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f364,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f91,f253]) ).
fof(f378,plain,
( ! [X3] :
( sk_c7 != multiply(inverse(X3),sk_c8)
| sk_c7 != multiply(X3,inverse(X3)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f74,f364]) ).
fof(f380,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f378,f123]) ).
fof(f387,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f380,f200]) ).
fof(f391,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f387,f128]) ).
fof(f392,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f407,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f77,f117]) ).
fof(f409,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f432,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f409,f115,f76,f110]) ).
fof(f433,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f77,f133]) ).
fof(f435,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f133]) ).
fof(f436,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f439,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f174,f145]) ).
fof(f441,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f439,f133]) ).
fof(f458,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f441,f91]) ).
fof(f461,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f174,f441]) ).
fof(f463,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f461,f3]) ).
fof(f471,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f87,f458]) ).
fof(f501,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1,f463]) ).
fof(f512,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f81,f458]) ).
fof(f517,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f471,f512]) ).
fof(f518,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f519,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f80,f458]) ).
fof(f523,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f4,f519]) ).
fof(f534,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c8,identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f523,f435]) ).
fof(f541,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c1)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f534,f463]) ).
fof(f550,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f541,f91]) ).
fof(f557,plain,
( sk_c8 = multiply(sk_c7,sk_c1)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f550,f458]) ).
fof(f597,plain,
( sk_c8 = sk_c1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f501,f557]) ).
fof(f605,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f436,f597]) ).
fof(f608,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f605,f441]) ).
fof(f609,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f611,plain,
( ! [X3] :
( sk_c7 != multiply(inverse(X3),sk_c8)
| sk_c7 != multiply(X3,inverse(X3)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f74,f458]) ).
fof(f612,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f611,f133]) ).
fof(f615,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f612,f519]) ).
fof(f616,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f615,f145]) ).
fof(f617,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f618,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f84,f133]) ).
fof(f619,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f618]) ).
fof(f620,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f619,f145]) ).
fof(f621,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f646,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f84,f123]) ).
fof(f649,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f646]) ).
fof(f650,plain,
( ~ spl0_13
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f649,f121,f83,f126]) ).
cnf(s1,plain,
( spl0_4
| spl0_2
| ~ spl0_3
| spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s4,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s5,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f108]) ).
cnf(s8,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s14,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s15,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s16,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s17,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s18,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s24,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s25,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s26,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s28,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f155]) ).
cnf(s29,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s30,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f157]) ).
cnf(s31,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f158]) ).
cnf(s32,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f159]) ).
cnf(s33,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f160]) ).
cnf(s34,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f161]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f281]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f362]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f392]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f432]) ).
cnf(s50,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f518]) ).
cnf(s52,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f609]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f617]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f621]) ).
cnf(s57,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f650]) ).
cnf(s58,plain,
spl0_3,
inference(rat,[],[s50,s8,s16,s24,s32]) ).
cnf(s59,plain,
( ~ spl0_5
| spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s38,s28,s29,s30,s31,s33,s34,s2,s58]) ).
cnf(s60,plain,
spl0_5,
inference(rat,[],[s36,s4,s5,s9,s10,s58]) ).
cnf(s61,plain,
spl0_6,
inference(rat,[],[s38,s28,s29,s30,s31,s33,s34,s58,s60]) ).
cnf(s63,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s54,s17,s25]) ).
cnf(s64,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s54,s18,s26,s57]) ).
cnf(s65,plain,
~ spl0_4,
inference(rat,[],[s64,s63]) ).
cnf(s67,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s48,s22,s23]) ).
cnf(s68,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s48,s14,s15,s52,s61,s58]) ).
cnf(s69,plain,
~ spl0_2,
inference(rat,[],[s68,s67]) ).
cnf(s70,plain,
spl0_1,
inference(rat,[],[s59,s65,s60,s69]) ).
cnf(s71,plain,
spl0_15,
inference(rat,[],[s39,s22,s23,s25,s26,s61,s70]) ).
cnf(s72,plain,
~ spl0_14,
inference(rat,[],[s53,s58,s61,s70,s71]) ).
cnf(s73,plain,
spl0_13,
inference(rat,[],[s18,s72]) ).
cnf(s74,plain,
spl0_12,
inference(rat,[],[s17,s72]) ).
cnf(s75,plain,
spl0_11,
inference(rat,[],[s15,s72]) ).
cnf(s76,plain,
spl0_10,
inference(rat,[],[s14,s72]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s39,s73,s74,s70,s61,s75,s76]) ).
fof(f651,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP298-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:48:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 2.81/1.26 % (2742593)Input is clausal, will run a generic CNF schedule.
% 2.81/1.26 % (2742600)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3994490944:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.81/1.26 % (2742603)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3724627516:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.81/1.26 % (2742598)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=3987700149:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.81/1.26 % (2742601)lrs+10_1_sil=8000:sp=occurrence:random_seed=3627618824:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.81/1.26 % (2742602)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=865418167:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.81/1.26 % (2742599)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=315627284:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.81/1.26 % (2742604)dis-21_1_sil=8000:lcm=predicate:random_seed=966585597: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)
% 2.81/1.26 % (2742604)Refutation not found, incomplete strategy
% 2.81/1.26 % (2742604)------------------------------
% 2.81/1.26 % (2742604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.26 % (2742604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.26 % (2742604)CaDiCaL version: 2.1.3
% 2.81/1.26 % (2742604)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.26 % (2742604)Time elapsed: 0.002 s
% 2.81/1.26 % (2742604)Peak memory usage: 88 MB
% 2.81/1.26 % (2742604)Instructions burned: 2 (million)
% 2.81/1.26 % (2742601)Refutation not found, incomplete strategy
% 2.81/1.26 % (2742601)------------------------------
% 2.81/1.26 % (2742601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.26 % (2742601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.26 % (2742601)CaDiCaL version: 2.1.3
% 2.81/1.26 % (2742601)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.26 % (2742601)Time elapsed: 0.003 s
% 2.81/1.26 % (2742601)Peak memory usage: 88 MB
% 2.81/1.26 % (2742601)Instructions burned: 4 (million)
% 2.81/1.26 % (2742603)First to succeed.
% 2.81/1.26 % (2742603)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2742593"
% 2.81/1.26 % (2742602)Instruction limit reached!
% 2.81/1.26 % (2742602)------------------------------
% 2.81/1.26 % (2742602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.26 % (2742602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.26 % (2742602)CaDiCaL version: 2.1.3
% 2.81/1.26 % (2742602)Termination reason: Instruction limit
% 2.81/1.26 % (2742602)Termination phase: Saturation
% 2.81/1.26 % (2742602)Time elapsed: 0.066 s
% 2.81/1.26 % (2742602)Peak memory usage: 89 MB
% 2.81/1.26 % (2742602)Instructions burned: 115 (million)
% 2.81/1.26 % (2742612)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=1341629615:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.81/1.26 % (2742612)Refutation not found, incomplete strategy
% 2.81/1.26 % (2742612)------------------------------
% 2.81/1.26 % (2742612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.26 % (2742612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.26 % (2742612)CaDiCaL version: 2.1.3
% 2.81/1.26 % (2742612)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.26 % (2742612)Time elapsed: 0.003 s
% 2.81/1.26 % (2742612)Peak memory usage: 88 MB
% 2.81/1.26 % (2742612)Instructions burned: 4 (million)
% 2.81/1.26 % (2742601)------------------------------
% 2.81/1.26 % (2742601)------------------------------
% 2.81/1.26 % (2742604)------------------------------
% 2.81/1.26 % (2742604)------------------------------
% 2.81/1.26 % (2742603)Refutation found. Thanks to Tanya!
% 2.81/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.81/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.45 % (2742603)------------------------------
% 3.53/1.45 % (2742603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.45 % (2742603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.45 % (2742603)CaDiCaL version: 2.1.3
% 3.53/1.45 % (2742603)Termination reason: Refutation
% 3.53/1.45 % (2742603)Time elapsed: 0.018 s
% 3.53/1.45 % (2742603)Peak memory usage: 89 MB
% 3.53/1.45 % (2742603)Instructions burned: 25 (million)
% 3.53/1.45 % (2742603)------------------------------
% 3.53/1.45 % (2742603)------------------------------
% 3.53/1.45 % (2742593)Success in time 0.417 s
% 3.53/1.45 % Vampire exiting
%------------------------------------------------------------------------------