%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL255-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:51:47 AM UTC 2026
% Result : Unsatisfiable 11.15s 2.62s
% Output : Refutation 13.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 133 ( 90 unt; 15 def)
% Number of atoms : 185 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 108 ( 56 ~; 51 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,negated_conjecture,
~ theorem(implies(and(implies(p,r),implies(q,s)),implies(or(p,q),or(r,s)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f16,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f17,plain,
~ theorem(or(not(not(or(not(or(not(p),r)),not(or(not(q),s))))),or(not(or(p,q)),or(r,s)))),
inference(definition_unfolding,[],[f10,f6,f9,f6,f6,f6]) ).
fof(f18,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
not(p) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF1 = or(sF0,r),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
or(sF0,r) = sF1,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f23,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f25,plain,
not(q) = sF3,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF4 = or(sF3,s),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f27,plain,
or(sF3,s) = sF4,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f29,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f31,plain,
or(sF2,sF5) = sF6,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f33,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f35,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF9 = or(p,q),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f37,plain,
or(p,q) = sF9,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f39,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF11 = or(r,s),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f41,plain,
or(r,s) = sF11,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF12 = or(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f43,plain,
or(sF10,sF11) = sF12,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF13 = or(sF8,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f45,plain,
or(sF8,sF12) = sF13,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
~ theorem(sF13),
inference(definition_folding,[],[f17,f45,f43,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21,f19]) ).
fof(f49,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f15]) ).
fof(f66,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f16,f49]) ).
fof(f134,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f14,f7]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f134,f16]) ).
fof(f155,plain,
! [X0] : theorem(or(not(or(sF10,or(X0,sF11))),or(X0,sF12))),
inference(superposition,[],[f134,f43]) ).
fof(f203,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f13,f7]) ).
fof(f222,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f203,f16]) ).
fof(f224,plain,
theorem(or(not(sF9),or(q,p))),
inference(superposition,[],[f203,f37]) ).
fof(f226,plain,
theorem(or(not(sF1),or(r,sF0))),
inference(superposition,[],[f203,f21]) ).
fof(f228,plain,
theorem(or(not(sF4),or(s,sF3))),
inference(superposition,[],[f203,f27]) ).
fof(f238,plain,
theorem(or(sF5,or(s,sF3))),
inference(forward_demodulation,[],[f228,f29]) ).
fof(f240,plain,
theorem(or(sF2,or(r,sF0))),
inference(forward_demodulation,[],[f226,f23]) ).
fof(f241,plain,
theorem(or(sF10,or(q,p))),
inference(forward_demodulation,[],[f224,f39]) ).
fof(f242,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f268,plain,
theorem(or(not(s),sF11)),
inference(superposition,[],[f242,f41]) ).
fof(f270,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f242,f31]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f66,f16]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f304,f134]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f304,f203]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f304,f66]) ).
fof(f330,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f304,f242]) ).
fof(f331,plain,
! [X0,X1] :
( ~ theorem(or(sF0,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,p)) ),
inference(superposition,[],[f304,f19]) ).
fof(f335,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f304,f33]) ).
fof(f342,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f328,f242]) ).
fof(f350,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f11,f7]) ).
fof(f351,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f350,f304]) ).
fof(f352,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f350,f16]) ).
fof(f359,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f351,f242]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f329,f134]) ).
fof(f363,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f329,f203]) ).
fof(f418,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f330,f328]) ).
fof(f432,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f327,f203]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f363,f16]) ).
fof(f449,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f363,f351]) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f362,f16]) ).
fof(f535,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f359,f222]) ).
fof(f585,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF13)) ),
inference(superposition,[],[f418,f45]) ).
fof(f696,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f497,f449]) ).
fof(f730,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f335,f535]) ).
fof(f731,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f730,f35]) ).
fof(f753,plain,
theorem(or(not(r),sF11)),
inference(superposition,[],[f342,f41]) ).
fof(f755,plain,
theorem(or(not(sF2),sF6)),
inference(superposition,[],[f342,f31]) ).
fof(f791,plain,
theorem(or(s,or(sF5,sF3))),
inference(resolution,[],[f238,f139]) ).
fof(f872,plain,
theorem(or(not(or(sF10,or(sF8,sF11))),sF13)),
inference(superposition,[],[f155,f45]) ).
fof(f894,plain,
! [X0] :
( ~ theorem(or(X0,or(sF10,or(sF8,sF11))))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f872,f304]) ).
fof(f900,plain,
! [X0] :
( ~ theorem(or(X0,or(sF8,sF11)))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f894,f330]) ).
fof(f908,plain,
theorem(or(not(sF10),sF13)),
inference(resolution,[],[f894,f342]) ).
fof(f917,plain,
! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f908,f445]) ).
fof(f923,plain,
theorem(or(or(q,p),sF13)),
inference(resolution,[],[f917,f241]) ).
fof(f929,plain,
! [X0] :
( ~ theorem(or(X0,sF11))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f900,f330]) ).
fof(f1227,plain,
theorem(or(not(r),sF13)),
inference(resolution,[],[f753,f929]) ).
fof(f1329,definition,
( spl14_77
<=> theorem(or(p,sF13)) ),
introduced(definition,[new_symbols(definition,[spl14_77])],[avatar_definition]) ).
fof(f1330,plain,
( theorem(or(p,sF13))
| ~ spl14_77 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1382,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f270,f731]) ).
fof(f1388,plain,
theorem(or(not(sF5),sF13)),
inference(resolution,[],[f1382,f585]) ).
fof(f1518,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f432,f16]) ).
fof(f1595,plain,
theorem(or(not(s),sF13)),
inference(resolution,[],[f268,f929]) ).
fof(f1598,plain,
! [X0] :
( ~ theorem(or(s,X0))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f1595,f445]) ).
fof(f1614,plain,
theorem(or(or(sF5,sF3),sF13)),
inference(resolution,[],[f791,f1598]) ).
fof(f1891,plain,
theorem(or(not(sF2),sF8)),
inference(resolution,[],[f755,f731]) ).
fof(f1897,plain,
theorem(or(not(sF2),sF13)),
inference(resolution,[],[f1891,f585]) ).
fof(f1899,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f1897,f445]) ).
fof(f1906,plain,
theorem(or(or(r,sF0),sF13)),
inference(resolution,[],[f1899,f240]) ).
fof(f2803,plain,
theorem(or(r,or(sF13,sF0))),
inference(resolution,[],[f1518,f1906]) ).
fof(f2804,plain,
theorem(or(q,or(sF13,p))),
inference(resolution,[],[f1518,f923]) ).
fof(f2806,plain,
theorem(or(sF5,or(sF13,sF3))),
inference(resolution,[],[f1518,f1614]) ).
fof(f2829,plain,
theorem(or(sF5,or(sF3,sF13))),
inference(resolution,[],[f2806,f328]) ).
fof(f2834,plain,
( theorem(or(sF3,sF13))
| ~ theorem(or(not(sF5),sF13)) ),
inference(resolution,[],[f2829,f696]) ).
fof(f2839,plain,
theorem(or(sF3,sF13)),
inference(forward_subsumption_resolution,[],[f2834,f1388]) ).
fof(f2862,plain,
theorem(or(r,or(sF0,sF13))),
inference(resolution,[],[f2803,f328]) ).
fof(f2866,plain,
( theorem(or(sF0,sF13))
| ~ theorem(or(not(r),sF13)) ),
inference(resolution,[],[f2862,f696]) ).
fof(f2871,plain,
theorem(or(sF0,sF13)),
inference(forward_subsumption_resolution,[],[f2866,f1227]) ).
fof(f2872,plain,
! [X0] :
( ~ theorem(or(X0,p))
| theorem(or(X0,sF13)) ),
inference(resolution,[],[f2871,f331]) ).
fof(f2906,plain,
theorem(or(q,or(p,sF13))),
inference(resolution,[],[f2804,f328]) ).
fof(f2955,plain,
( theorem(or(p,sF13))
| ~ theorem(or(not(q),sF13)) ),
inference(resolution,[],[f2906,f696]) ).
fof(f2960,plain,
( ~ theorem(or(sF3,sF13))
| theorem(or(p,sF13)) ),
inference(forward_demodulation,[],[f2955,f25]) ).
fof(f2961,plain,
theorem(or(p,sF13)),
inference(forward_subsumption_resolution,[],[f2960,f2839]) ).
fof(f2962,plain,
spl14_77,
inference(avatar_split_clause,[],[f2961,f1329]) ).
fof(f2963,plain,
( theorem(or(sF13,p))
| ~ spl14_77 ),
inference(resolution,[],[f1330,f222]) ).
fof(f2964,plain,
( theorem(or(sF13,sF13))
| ~ spl14_77 ),
inference(resolution,[],[f2963,f2872]) ).
fof(f2968,plain,
( theorem(sF13)
| ~ spl14_77 ),
inference(resolution,[],[f2964,f352]) ).
fof(f2970,plain,
( $false
| ~ spl14_77 ),
inference(forward_subsumption_resolution,[],[f2968,f46]) ).
fof(f2971,plain,
~ spl14_77,
inference(avatar_contradiction_clause,[],[f2970]) ).
cnf(s110,plain,
spl14_77,
inference(sat_conversion,[],[f2962]) ).
cnf(s111,plain,
~ spl14_77,
inference(sat_conversion,[],[f2971]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s110,s111]) ).
fof(f2972,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL255-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n026.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 15:33:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 12.31/2.57 % (3006563)Input is clausal, will run a generic CNF schedule.
% 12.31/2.57 % (3006582)dis-21_1_sil=8000:lcm=predicate:random_seed=1228074843: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)
% 12.31/2.57 % (3006576)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=4262282198:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 12.31/2.57 % (3006582)Instruction limit reached!
% 12.31/2.57 % (3006582)------------------------------
% 12.31/2.57 % (3006582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.57 % (3006582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.57 % (3006582)CaDiCaL version: 2.1.3
% 12.31/2.57 % (3006582)Termination reason: Instruction limit
% 12.31/2.57 % (3006582)Termination phase: Saturation
% 12.31/2.57 % (3006582)Time elapsed: 0.044 s
% 12.31/2.57 % (3006582)Peak memory usage: 88 MB
% 12.31/2.57 % (3006582)Instructions burned: 120 (million)
% 12.31/2.57 % (3006579)lrs+10_1_sil=8000:sp=occurrence:random_seed=3700939333:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 12.31/2.57 % (3006578)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1616227066:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 12.31/2.57 % (3006581)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2587486902:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 12.31/2.57 % (3006577)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2686122040:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 12.31/2.57 % (3006580)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2278663807:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 12.31/2.57 % (3006579)Instruction limit reached!
% 12.31/2.57 % (3006579)------------------------------
% 12.31/2.57 % (3006579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.57 % (3006579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.57 % (3006579)CaDiCaL version: 2.1.3
% 12.31/2.57 % (3006579)Termination reason: Instruction limit
% 12.31/2.57 % (3006579)Termination phase: Saturation
% 12.31/2.57 % (3006579)Time elapsed: 0.080 s
% 12.31/2.57 % (3006579)Peak memory usage: 89 MB
% 12.31/2.57 % (3006579)Instructions burned: 107 (million)
% 12.31/2.57 % (3006580)Instruction limit reached!
% 12.31/2.57 % (3006580)------------------------------
% 12.31/2.57 % (3006580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.57 % (3006580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.57 % (3006580)CaDiCaL version: 2.1.3
% 12.31/2.57 % (3006580)Termination reason: Instruction limit
% 12.31/2.57 % (3006580)Termination phase: Saturation
% 12.31/2.57 % (3006580)Time elapsed: 0.097 s
% 12.31/2.57 % (3006580)Peak memory usage: 89 MB
% 12.31/2.57 % (3006580)Instructions burned: 114 (million)
% 12.31/2.57 % (3006581)Instruction limit reached!
% 12.31/2.57 % (3006581)------------------------------
% 12.31/2.57 % (3006581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.57 % (3006581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.57 % (3006581)CaDiCaL version: 2.1.3
% 12.31/2.57 % (3006581)Termination reason: Instruction limit
% 12.31/2.57 % (3006581)Termination phase: Saturation
% 12.31/2.57 % (3006581)Time elapsed: 0.157 s
% 12.31/2.57 % (3006581)Peak memory usage: 89 MB
% 12.31/2.57 % (3006581)Instructions burned: 180 (million)
% 12.31/2.57 % (3006587)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=1977807170:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.31/2.57 % (3006587)Refutation not found, incomplete strategy
% 12.31/2.57 % (3006587)------------------------------
% 12.31/2.57 % (3006587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.57 % (3006587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.57 % (3006587)CaDiCaL version: 2.1.3
% 12.31/2.57 % (3006587)Termination reason: Refutation not found, incomplete strategy
% 12.31/2.57 % (3006587)Time elapsed: 0.001 s
% 12.31/2.57 % (3006587)Peak memory usage: 88 MB
% 12.31/2.57 % (3006598)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=487070109:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.15/2.62 % (3006598)Refutation not found, incomplete strategy
% 11.15/2.62 % (3006598)------------------------------
% 11.15/2.62 % (3006598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006598)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006598)Termination reason: Refutation not found, incomplete strategy
% 11.15/2.62 % (3006598)Time elapsed: 0.002 s
% 11.15/2.62 % (3006598)Peak memory usage: 87 MB
% 11.15/2.62 % (3006599)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=64420132:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.15/2.62 % (3006599)Refutation not found, incomplete strategy
% 11.15/2.62 % (3006599)------------------------------
% 11.15/2.62 % (3006599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006599)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006599)Termination reason: Refutation not found, incomplete strategy
% 11.15/2.62 % (3006599)Time elapsed: 0.002 s
% 11.15/2.62 % (3006599)Peak memory usage: 88 MB
% 11.15/2.62 % (3006599)Instructions burned: 1 (million)
% 11.15/2.62 % (3006600)lrs+10_64_to=lpo:sil=8000:random_seed=3673755672:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.15/2.62 % (3006587)------------------------------
% 11.15/2.62 % (3006587)------------------------------
% 11.15/2.62 % (3006600)Instruction limit reached!
% 11.15/2.62 % (3006600)------------------------------
% 11.15/2.62 % (3006600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006600)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006600)Termination reason: Instruction limit
% 11.15/2.62 % (3006600)Termination phase: Saturation
% 11.15/2.62 % (3006600)Time elapsed: 0.108 s
% 11.15/2.62 % (3006600)Peak memory usage: 89 MB
% 11.15/2.62 % (3006600)Instructions burned: 127 (million)
% 11.15/2.62 % (3006609)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1539710621:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 11.15/2.62 % (3006598)------------------------------
% 11.15/2.62 % (3006598)------------------------------
% 11.15/2.62 % (3006612)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=21582463:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.15/2.62 % (3006609)Instruction limit reached!
% 11.15/2.62 % (3006609)------------------------------
% 11.15/2.62 % (3006609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006609)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006609)Termination reason: Instruction limit
% 11.15/2.62 % (3006609)Termination phase: Saturation
% 11.15/2.62 % (3006609)Time elapsed: 0.105 s
% 11.15/2.62 % (3006609)Peak memory usage: 90 MB
% 11.15/2.62 % (3006609)Instructions burned: 194 (million)
% 11.15/2.62 % (3006599)------------------------------
% 11.15/2.62 % (3006599)------------------------------
% 11.15/2.62 % (3006618)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=738120449:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 11.15/2.62 % (3006612)Instruction limit reached!
% 11.15/2.62 % (3006612)------------------------------
% 11.15/2.62 % (3006612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006612)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006612)Termination reason: Instruction limit
% 11.15/2.62 % (3006612)Termination phase: Saturation
% 11.15/2.62 % (3006612)Time elapsed: 0.167 s
% 11.15/2.62 % (3006612)Peak memory usage: 91 MB
% 11.15/2.62 % (3006612)Instructions burned: 157 (million)
% 11.15/2.62 % (3006619)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1265850288:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 11.15/2.62 % (3006619)Refutation not found, incomplete strategy
% 11.15/2.62 % (3006619)------------------------------
% 11.15/2.62 % (3006619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006619)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006619)Termination reason: Refutation not found, incomplete strategy
% 11.15/2.62 % (3006619)Time elapsed: 0.001 s
% 11.15/2.62 % (3006619)Peak memory usage: 87 MB
% 11.15/2.62 % (3006615)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3160196940:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 11.15/2.62 % (3006618)Instruction limit reached!
% 11.15/2.62 % (3006618)------------------------------
% 11.15/2.62 % (3006618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006618)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006618)Termination reason: Instruction limit
% 11.15/2.62 % (3006618)Termination phase: Saturation
% 11.15/2.62 % (3006618)Time elapsed: 0.088 s
% 11.15/2.62 % (3006618)Peak memory usage: 89 MB
% 11.15/2.62 % (3006618)Instructions burned: 106 (million)
% 11.15/2.62 % (3006622)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3123856876:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 11.15/2.62 % (3006619)------------------------------
% 11.15/2.62 % (3006619)------------------------------
% 11.15/2.62 % (3006626)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1735366615:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 11.15/2.62 % (3006628)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4017685109:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 11.15/2.62 % (3006622)Instruction limit reached!
% 11.15/2.62 % (3006622)------------------------------
% 11.15/2.62 % (3006622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006622)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006622)Termination reason: Instruction limit
% 11.15/2.62 % (3006622)Termination phase: Saturation
% 11.15/2.62 % (3006622)Time elapsed: 0.161 s
% 11.15/2.62 % (3006622)Peak memory usage: 90 MB
% 11.15/2.62 % (3006622)Instructions burned: 243 (million)
% 11.15/2.62 % (3006628)Instruction limit reached!
% 11.15/2.62 % (3006628)------------------------------
% 11.15/2.62 % (3006628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006628)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006628)Termination reason: Instruction limit
% 11.15/2.62 % (3006628)Termination phase: Saturation
% 11.15/2.62 % (3006628)Time elapsed: 0.052 s
% 11.15/2.62 % (3006628)Peak memory usage: 89 MB
% 11.15/2.62 % (3006628)Instructions burned: 136 (million)
% 11.15/2.62 % (3006633)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1556393398:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 11.15/2.62 % (3006632)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3773658142:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 11.15/2.62 % (3006576)First to succeed.
% 11.15/2.62 % (3006576)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3006563"
% 11.15/2.62 % (3006633)Instruction limit reached!
% 11.15/2.62 % (3006633)------------------------------
% 11.15/2.62 % (3006633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006633)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006633)Termination reason: Instruction limit
% 11.15/2.62 % (3006633)Termination phase: Saturation
% 11.15/2.62 % (3006633)Time elapsed: 0.069 s
% 11.15/2.62 % (3006633)Peak memory usage: 92 MB
% 11.15/2.62 % (3006633)Instructions burned: 191 (million)
% 11.15/2.62 % (3006689)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4076049266:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 11.15/2.62 % (3006689)Instruction limit reached!
% 11.15/2.62 % (3006689)------------------------------
% 11.15/2.62 % (3006689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.62 % (3006689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.62 % (3006689)CaDiCaL version: 2.1.3
% 11.15/2.62 % (3006689)Termination reason: Instruction limit
% 11.15/2.62 % (3006689)Termination phase: Saturation
% 11.15/2.62 % (3006689)Time elapsed: 0.078 s
% 11.15/2.62 % (3006689)Peak memory usage: 92 MB
% 11.15/2.62 % (3006689)Instructions burned: 264 (million)
% 11.15/2.62 % (3006576)Refutation found. Thanks to Tanya!
% 11.15/2.62 % SZS status Unsatisfiable for theBenchmark
% 11.15/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 13.72/2.82 % (3006576)------------------------------
% 13.72/2.82 % (3006576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.82 % (3006576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.82 % (3006576)CaDiCaL version: 2.1.3
% 13.72/2.82 % (3006576)Termination reason: Refutation
% 13.72/2.82 % (3006576)Time elapsed: 1.433 s
% 13.72/2.82 % (3006576)Peak memory usage: 135 MB
% 13.72/2.82 % (3006576)Instructions burned: 1594 (million)
% 13.72/2.82 % (3006576)------------------------------
% 13.72/2.82 % (3006576)------------------------------
% 13.72/2.82 % (3006563)Success in time 1.861 s
% 13.72/2.82 % Vampire exiting
%------------------------------------------------------------------------------