%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL092-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:51:10 AM UTC 2026
% Result : Unsatisfiable 6.68s 1.75s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 21 unt; 11 def)
% Number of atoms : 263 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 326 ( 157 ~; 161 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 225 ( 0 sgn 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
fof(f4,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = implies(sF0,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
implies(sF0,a) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = implies(sF1,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
implies(sF1,a) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f1,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X4,implies(X2,X0))) ),
inference(resolution,[],[f11,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4,X5] :
( is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3))) ),
inference(resolution,[],[f12,f2]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,X5),implies(X0,X2)))
| is_a_theorem(implies(X3,implies(X4,X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f12,f11]) ).
fof(f91,definition,
( spl3_11
<=> ! [X4] : ~ is_a_theorem(X4) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f92,plain,
( ! [X4] : ~ is_a_theorem(X4)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f97,plain,
( $false
| ~ spl3_11 ),
inference(resolution,[],[f92,f2]) ).
fof(f100,plain,
~ spl3_11,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X4,X5),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X3,X6),implies(X2,X5))) ),
inference(resolution,[],[f54,f11]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X3,X4),implies(X2,X1)))
| ~ is_a_theorem(X5)
| is_a_theorem(implies(X6,implies(X2,X3))) ),
inference(resolution,[],[f118,f1]) ).
fof(f185,definition,
( spl3_24
<=> ! [X6,X4,X0,X3,X2,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(X6,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X3,X4),implies(X2,X1))) ) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f186,plain,
( ! [X2,X3,X0,X1,X6,X4] :
( ~ is_a_theorem(implies(implies(X3,X4),implies(X2,X1)))
| is_a_theorem(implies(X6,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) )
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f187,plain,
( spl3_11
| spl3_24 ),
inference(avatar_split_clause,[],[f155,f185,f91]) ).
fof(f207,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X5,implies(X6,X2))),implies(implies(X1,X2),implies(X2,X3))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X3)))) )
| ~ spl3_24 ),
inference(resolution,[],[f186,f2]) ).
fof(f208,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X5)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X5,X6),implies(X4,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f186,f11]) ).
fof(f218,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))))
| ~ spl3_24 ),
inference(resolution,[],[f207,f2]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))) )
| ~ spl3_24 ),
inference(resolution,[],[f218,f1]) ).
fof(f246,definition,
( spl3_27
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[spl3_27])],[avatar_definition]) ).
fof(f247,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl3_27
| spl3_11
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f231,f185,f91,f246]) ).
fof(f509,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(implies(implies(X1,X5),implies(X4,implies(X3,implies(X4,X2))))) )
| ~ spl3_24 ),
inference(resolution,[],[f208,f2]) ).
fof(f547,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))
| ~ is_a_theorem(X5)
| is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4)))) )
| ~ spl3_24 ),
inference(resolution,[],[f509,f1]) ).
fof(f568,definition,
( spl3_60
<=> ! [X4,X0,X3,X2,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))
| is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4)))) ) ),
introduced(definition,[new_symbols(definition,[spl3_60])],[avatar_definition]) ).
fof(f569,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))
| is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4)))) )
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( spl3_11
| spl3_60
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f547,f185,f568,f91]) ).
fof(f571,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(implies(X3,X0),X0))))
| ~ spl3_60 ),
inference(resolution,[],[f569,f2]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X5,X2)),implies(X2,implies(implies(X3,X2),X1))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X3,X2),X1)))) )
| ~ spl3_60 ),
inference(resolution,[],[f569,f53]) ).
fof(f616,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(implies(X5,X2),X2)),implies(X1,implies(X2,X3))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) )
| ~ spl3_24
| ~ spl3_60 ),
inference(resolution,[],[f571,f186]) ).
fof(f618,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X4,implies(X1,X2)))) )
| ~ spl3_60 ),
inference(resolution,[],[f571,f12]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,implies(implies(X3,X1),X2)))))
| ~ spl3_24
| ~ spl3_60 ),
inference(resolution,[],[f616,f2]) ).
fof(f651,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X1,implies(implies(X3,X1),X2)))) )
| ~ spl3_24
| ~ spl3_60 ),
inference(resolution,[],[f631,f1]) ).
fof(f672,definition,
( spl3_65
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(X1,X2),implies(X1,implies(implies(X3,X1),X2)))) ),
introduced(definition,[new_symbols(definition,[spl3_65])],[avatar_definition]) ).
fof(f673,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,X2),implies(X1,implies(implies(X3,X1),X2))))
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( spl3_65
| spl3_11
| ~ spl3_24
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f651,f568,f185,f91,f672]) ).
fof(f675,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X0,X1))))
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f673,f569]) ).
fof(f699,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f675,f1]) ).
fof(f759,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X2),implies(X1,implies(X0,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2)))) )
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f699,f569]) ).
fof(f867,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2)))))
| ~ spl3_27
| ~ spl3_60 ),
inference(resolution,[],[f618,f247]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,implies(implies(X3,X2),implies(X1,X2)))))
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f578,f673]) ).
fof(f915,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,X1))))
| ~ spl3_27
| ~ spl3_60 ),
inference(resolution,[],[f867,f569]) ).
fof(f940,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X3,implies(X1,X2))) )
| ~ spl3_27
| ~ spl3_60 ),
inference(resolution,[],[f915,f12]) ).
fof(f1107,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(X1,X1))))
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f896,f569]) ).
fof(f1127,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(X1,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f1107,f1]) ).
fof(f1142,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f1127,f1]) ).
fof(f1151,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,implies(X1,X2)))
| is_a_theorem(implies(X4,implies(X5,X2)))
| ~ is_a_theorem(implies(implies(X1,X1),X2)) )
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f1142,f54]) ).
fof(f1163,plain,
( ! [X2,X3,X1,X4,X5] :
( ~ is_a_theorem(implies(X3,implies(X1,X2)))
| is_a_theorem(implies(X4,implies(X5,X2)))
| ~ is_a_theorem(implies(implies(X1,X1),X2)) )
| ~ spl3_27
| ~ spl3_60
| ~ spl3_65 ),
inference(forward_subsumption_resolution,[],[f1151,f940]) ).
fof(f1164,plain,
( ! [X2,X1,X4,X5] :
( is_a_theorem(implies(X4,implies(X5,X2)))
| ~ is_a_theorem(implies(implies(X1,X1),X2)) )
| ~ spl3_27
| ~ spl3_60
| ~ spl3_65 ),
inference(forward_subsumption_resolution,[],[f1163,f940]) ).
fof(f1182,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(X3,X1)) )
| ~ spl3_27
| ~ spl3_60
| ~ spl3_65 ),
inference(resolution,[],[f1164,f1]) ).
fof(f1208,definition,
( spl3_73
<=> ! [X0,X1,X3] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl3_73])],[avatar_definition]) ).
fof(f1209,plain,
( ! [X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X3,X1)) )
| ~ spl3_73 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1210,plain,
( spl3_11
| spl3_73
| ~ spl3_27
| ~ spl3_60
| ~ spl3_65 ),
inference(avatar_split_clause,[],[f1182,f672,f568,f246,f1208,f91]) ).
fof(f1230,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,implies(X2,X3)))) )
| ~ spl3_60
| ~ spl3_65
| ~ spl3_73 ),
inference(resolution,[],[f1209,f759]) ).
fof(f1906,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl3_60
| ~ spl3_65
| ~ spl3_73 ),
inference(resolution,[],[f1230,f1]) ).
fof(f1939,definition,
( spl3_83
<=> ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X1,implies(X0,X2))) ) ),
introduced(definition,[new_symbols(definition,[spl3_83])],[avatar_definition]) ).
fof(f1940,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1941,plain,
( spl3_11
| spl3_83
| ~ spl3_60
| ~ spl3_65
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f1906,f1208,f672,f568,f1939,f91]) ).
fof(f1944,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))
| ~ spl3_60
| ~ spl3_83 ),
inference(resolution,[],[f1940,f571]) ).
fof(f2053,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) )
| ~ spl3_60
| ~ spl3_83 ),
inference(resolution,[],[f1944,f1]) ).
fof(f2080,definition,
( spl3_84
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
introduced(definition,[new_symbols(definition,[spl3_84])],[avatar_definition]) ).
fof(f2081,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2082,plain,
( spl3_84
| spl3_11
| ~ spl3_60
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f2053,f1939,f568,f91,f2080]) ).
fof(f2102,plain,
( is_a_theorem(implies(implies(sF0,a),a))
| ~ spl3_84 ),
inference(superposition,[],[f2081,f5]) ).
fof(f2288,plain,
( is_a_theorem(implies(sF1,a))
| ~ spl3_84 ),
inference(forward_demodulation,[],[f2102,f7]) ).
fof(f2313,plain,
( is_a_theorem(sF2)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f2288,f9]) ).
fof(f2315,plain,
( $false
| ~ spl3_84 ),
inference(forward_subsumption_resolution,[],[f2313,f10]) ).
fof(f2316,plain,
~ spl3_84,
inference(avatar_contradiction_clause,[],[f2315]) ).
cnf(s7,plain,
~ spl3_11,
inference(sat_conversion,[],[f100]) ).
cnf(s14,plain,
( spl3_11
| spl3_24 ),
inference(sat_conversion,[],[f187]) ).
cnf(s17,plain,
( spl3_11
| ~ spl3_24
| spl3_27 ),
inference(sat_conversion,[],[f248]) ).
cnf(s41,plain,
( spl3_11
| ~ spl3_24
| spl3_60 ),
inference(sat_conversion,[],[f570]) ).
cnf(s44,plain,
( spl3_11
| ~ spl3_24
| ~ spl3_60
| spl3_65 ),
inference(sat_conversion,[],[f674]) ).
cnf(s54,plain,
( spl3_11
| ~ spl3_27
| ~ spl3_60
| ~ spl3_65
| spl3_73 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s63,plain,
( spl3_11
| ~ spl3_60
| ~ spl3_65
| ~ spl3_73
| spl3_83 ),
inference(sat_conversion,[],[f1941]) ).
cnf(s67,plain,
( spl3_11
| ~ spl3_60
| ~ spl3_83
| spl3_84 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s103,plain,
~ spl3_84,
inference(sat_conversion,[],[f2316]) ).
cnf(s104,plain,
( spl3_11
| ~ spl3_60
| ~ spl3_83 ),
inference(rat,[],[s67,s103]) ).
cnf(s105,plain,
spl3_24,
inference(rat,[],[s14,s7]) ).
cnf(s106,plain,
spl3_60,
inference(rat,[],[s41,s7,s105]) ).
cnf(s107,plain,
spl3_27,
inference(rat,[],[s17,s7,s105]) ).
cnf(s108,plain,
~ spl3_83,
inference(rat,[],[s104,s7,s106]) ).
cnf(s110,plain,
spl3_65,
inference(rat,[],[s44,s105,s7,s106]) ).
cnf(s116,plain,
~ spl3_73,
inference(rat,[],[s63,s108,s106,s7,s110]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s54,s107,s106,s7,s116,s110]) ).
fof(f2317,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL092-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 15:21:04 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 6.68/1.75 % (2502490)Input is clausal, will run a generic CNF schedule.
% 6.68/1.75 % (2502514)lrs+10_1_sil=8000:sp=occurrence:random_seed=1858439143:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 6.68/1.75 % (2502517)dis-21_1_sil=8000:lcm=predicate:random_seed=47211624:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 6.68/1.75 % (2502511)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=2611434218:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 6.68/1.75 % (2502512)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4259923172:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 6.68/1.75 % (2502513)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=520066284:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 6.68/1.75 % (2502514)Instruction limit reached!
% 6.68/1.75 % (2502514)------------------------------
% 6.68/1.75 % (2502514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502514)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502514)Termination reason: Instruction limit
% 6.68/1.75 % (2502514)Termination phase: Saturation
% 6.68/1.75 % (2502514)Time elapsed: 0.050 s
% 6.68/1.75 % (2502514)Peak memory usage: 89 MB
% 6.68/1.75 % (2502514)Instructions burned: 107 (million)
% 6.68/1.75 % (2502516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2566607981:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 6.68/1.75 % (2502515)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1179118765:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 6.68/1.75 % (2502517)Instruction limit reached!
% 6.68/1.75 % (2502517)------------------------------
% 6.68/1.75 % (2502517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502517)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502517)Termination reason: Instruction limit
% 6.68/1.75 % (2502517)Termination phase: Saturation
% 6.68/1.75 % (2502517)Time elapsed: 0.050 s
% 6.68/1.75 % (2502517)Peak memory usage: 88 MB
% 6.68/1.75 % (2502517)Instructions burned: 119 (million)
% 6.68/1.75 % (2502515)Instruction limit reached!
% 6.68/1.75 % (2502515)------------------------------
% 6.68/1.75 % (2502515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502515)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502515)Termination reason: Instruction limit
% 6.68/1.75 % (2502515)Termination phase: Saturation
% 6.68/1.75 % (2502515)Time elapsed: 0.061 s
% 6.68/1.75 % (2502515)Peak memory usage: 89 MB
% 6.68/1.75 % (2502515)Instructions burned: 115 (million)
% 6.68/1.75 % (2502525)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=1772517622:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.68/1.75 % (2502525)Refutation not found, incomplete strategy
% 6.68/1.75 % (2502525)------------------------------
% 6.68/1.75 % (2502525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502525)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502525)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.75 % (2502525)Time elapsed: 0.0000 s
% 6.68/1.75 % (2502525)Peak memory usage: 87 MB
% 6.68/1.75 % (2502516)Instruction limit reached!
% 6.68/1.75 % (2502516)------------------------------
% 6.68/1.75 % (2502516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502516)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502516)Termination reason: Instruction limit
% 6.68/1.75 % (2502516)Termination phase: Saturation
% 6.68/1.75 % (2502516)Time elapsed: 0.094 s
% 6.68/1.75 % (2502516)Peak memory usage: 89 MB
% 6.68/1.75 % (2502516)Instructions burned: 181 (million)
% 6.68/1.75 % (2502528)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2550884808:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.68/1.75 % (2502532)lrs+10_64_to=lpo:sil=8000:random_seed=2983954680:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.68/1.75 % (2502529)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=821733510:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.68/1.75 % (2502529)Refutation not found, incomplete strategy
% 6.68/1.75 % (2502529)------------------------------
% 6.68/1.75 % (2502529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502529)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502529)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.75 % (2502529)Time elapsed: 0.0000 s
% 6.68/1.75 % (2502529)Peak memory usage: 87 MB
% 6.68/1.75 % (2502528)Instruction limit reached!
% 6.68/1.75 % (2502528)------------------------------
% 6.68/1.75 % (2502528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502528)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502528)Termination reason: Instruction limit
% 6.68/1.75 % (2502528)Termination phase: Saturation
% 6.68/1.75 % (2502528)Time elapsed: 0.084 s
% 6.68/1.75 % (2502528)Peak memory usage: 88 MB
% 6.68/1.75 % (2502528)Instructions burned: 191 (million)
% 6.68/1.75 % (2502532)Instruction limit reached!
% 6.68/1.75 % (2502532)------------------------------
% 6.68/1.75 % (2502532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502532)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502532)Termination reason: Instruction limit
% 6.68/1.75 % (2502532)Termination phase: Saturation
% 6.68/1.75 % (2502532)Time elapsed: 0.065 s
% 6.68/1.75 % (2502532)Peak memory usage: 89 MB
% 6.68/1.75 % (2502532)Instructions burned: 128 (million)
% 6.68/1.75 % (2502525)------------------------------
% 6.68/1.75 % (2502525)------------------------------
% 6.68/1.75 % (2502539)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=546783162:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.68/1.75 % (2502541)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1914271676:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.68/1.75 % (2502540)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=809769346:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.68/1.75 % (2502539)Instruction limit reached!
% 6.68/1.75 % (2502539)------------------------------
% 6.68/1.75 % (2502539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502539)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502539)Termination reason: Instruction limit
% 6.68/1.75 % (2502539)Termination phase: Saturation
% 6.68/1.75 % (2502539)Time elapsed: 0.040 s
% 6.68/1.75 % (2502539)Peak memory usage: 87 MB
% 6.68/1.75 % (2502539)Instructions burned: 198 (million)
% 6.68/1.75 % (2502529)------------------------------
% 6.68/1.75 % (2502529)------------------------------
% 6.68/1.75 % (2502540)Instruction limit reached!
% 6.68/1.75 % (2502540)------------------------------
% 6.68/1.75 % (2502540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502540)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502540)Termination reason: Instruction limit
% 6.68/1.75 % (2502540)Termination phase: Saturation
% 6.68/1.75 % (2502540)Time elapsed: 0.090 s
% 6.68/1.75 % (2502540)Peak memory usage: 90 MB
% 6.68/1.75 % (2502540)Instructions burned: 158 (million)
% 6.68/1.75 % (2502549)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=700982635:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.68/1.75 % (2502550)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1547702071:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.68/1.75 % (2502550)Refutation not found, incomplete strategy
% 6.68/1.75 % (2502550)------------------------------
% 6.68/1.75 % (2502550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502550)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502550)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.75 % (2502550)Time elapsed: 0.001 s
% 6.68/1.75 % (2502550)Peak memory usage: 87 MB
% 6.68/1.75 % (2502549)Instruction limit reached!
% 6.68/1.75 % (2502549)------------------------------
% 6.68/1.75 % (2502549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502549)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502549)Termination reason: Instruction limit
% 6.68/1.75 % (2502549)Termination phase: Saturation
% 6.68/1.75 % (2502549)Time elapsed: 0.047 s
% 6.68/1.75 % (2502549)Peak memory usage: 88 MB
% 6.68/1.75 % (2502549)Instructions burned: 109 (million)
% 6.68/1.75 % (2502551)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3173291948:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.68/1.75 % (2502513)First to succeed.
% 6.68/1.75 % (2502513)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2502490"
% 6.68/1.75 % (2502554)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3746604620:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.68/1.75 % (2502512)Also succeeded, but the first one will report.
% 6.68/1.75 % (2502551)Instruction limit reached!
% 6.68/1.75 % (2502551)------------------------------
% 6.68/1.75 % (2502551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.75 % (2502551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.75 % (2502551)CaDiCaL version: 2.1.3
% 6.68/1.75 % (2502551)Termination reason: Instruction limit
% 6.68/1.75 % (2502551)Termination phase: Saturation
% 6.68/1.75 % (2502551)Time elapsed: 0.126 s
% 6.68/1.75 % (2502551)Peak memory usage: 88 MB
% 6.68/1.75 % (2502551)Instructions burned: 243 (million)
% 6.68/1.75 % (2502550)------------------------------
% 6.68/1.75 % (2502550)------------------------------
% 6.68/1.75 % (2502511)Also succeeded, but the first one will report.
% 6.68/1.75 % (2502559)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1001428060:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.68/1.75 % (2502557)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2367108572:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.68/1.75 % (2502513)Refutation found. Thanks to Tanya!
% 6.68/1.75 % SZS status Unsatisfiable for theBenchmark
% 6.68/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 8.27/1.89 % (2502513)------------------------------
% 8.27/1.89 % (2502513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.89 % (2502513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.89 % (2502513)CaDiCaL version: 2.1.3
% 8.27/1.89 % (2502513)Termination reason: Refutation
% 8.27/1.89 % (2502513)Time elapsed: 0.734 s
% 8.27/1.89 % (2502513)Peak memory usage: 133 MB
% 8.27/1.89 % (2502513)Instructions burned: 1368 (million)
% 8.27/1.89 % (2502513)------------------------------
% 8.27/1.89 % (2502513)------------------------------
% 8.27/1.89 % (2502490)Success in time 1.136 s
% 8.27/1.89 % Vampire exiting
%------------------------------------------------------------------------------