%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL252-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:51:46 AM UTC 2026
% Result : Unsatisfiable 10.45s 2.39s
% Output : Refutation 11.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 114 ( 75 unt; 13 def)
% Number of atoms : 168 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 113 ( 59 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 125 ( 125 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,negated_conjecture,
~ theorem(implies(and(implies(q,p),implies(r,p)),implies(or(q,r),p))),
file('/export/starexec/sandbox/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(q),p)),not(or(not(r),p))))),or(not(or(q,r)),p))),
inference(definition_unfolding,[],[f10,f6,f9,f6,f6,f6]) ).
fof(f18,definition,
sF0 = not(q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
not(q) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF1 = or(sF0,p),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
or(sF0,p) = 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(r),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f25,plain,
not(r) = sF3,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF4 = or(sF3,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f27,plain,
or(sF3,p) = 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(q,r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f37,plain,
or(q,r) = 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(sF10,p),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f41,plain,
or(sF10,p) = sF11,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF12 = or(sF8,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f43,plain,
or(sF8,sF11) = sF12,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
~ theorem(sF12),
inference(definition_folding,[],[f17,f43,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21,f19]) ).
fof(f45,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f64,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f16,f45]) ).
fof(f158,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f14,f7]) ).
fof(f183,plain,
! [X0] : theorem(or(not(or(sF10,or(X0,p))),or(X0,sF11))),
inference(superposition,[],[f158,f41]) ).
fof(f192,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f13,f7]) ).
fof(f209,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f192,f16]) ).
fof(f212,plain,
theorem(or(not(sF1),or(p,sF0))),
inference(superposition,[],[f192,f21]) ).
fof(f214,plain,
theorem(or(not(sF4),or(p,sF3))),
inference(superposition,[],[f192,f27]) ).
fof(f223,plain,
theorem(or(sF5,or(p,sF3))),
inference(forward_demodulation,[],[f214,f29]) ).
fof(f225,plain,
theorem(or(sF2,or(p,sF0))),
inference(forward_demodulation,[],[f212,f23]) ).
fof(f227,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f253,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f227,f31]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f64,f16]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f304,f158]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f304,f192]) ).
fof(f328,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,f64]) ).
fof(f329,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f304,f227]) ).
fof(f334,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,[],[f327,f227]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f328,f45]) ).
fof(f350,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,[],[f328,f158]) ).
fof(f352,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f328,f192]) ).
fof(f365,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f325,f192]) ).
fof(f377,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f329,f327]) ).
fof(f387,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f11,f7]) ).
fof(f388,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f387,f304]) ).
fof(f398,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f388,f227]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f350,f16]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f352,f16]) ).
fof(f435,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f352,f388]) ).
fof(f466,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF12)) ),
inference(superposition,[],[f377,f43]) ).
fof(f479,plain,
theorem(or(not(or(sF10,or(sF8,p))),sF12)),
inference(superposition,[],[f183,f43]) ).
fof(f565,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f398,f209]) ).
fof(f606,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f334,f565]) ).
fof(f607,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f606,f35]) ).
fof(f623,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f349,f16]) ).
fof(f677,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f435,f410]) ).
fof(f771,plain,
theorem(or(not(sF2),sF6)),
inference(superposition,[],[f342,f31]) ).
fof(f774,plain,
theorem(or(not(sF10),sF11)),
inference(superposition,[],[f342,f41]) ).
fof(f781,plain,
! [X0] :
( ~ theorem(or(X0,or(sF10,or(sF8,p))))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f479,f304]) ).
fof(f795,plain,
! [X0] :
( ~ theorem(or(X0,or(sF8,p)))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f781,f329]) ).
fof(f819,plain,
theorem(or(not(p),sF12)),
inference(resolution,[],[f795,f227]) ).
fof(f1032,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(or(not(X1),X2))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f623,f435]) ).
fof(f1199,plain,
! [X0] :
( theorem(or(not(sF9),X0))
| ~ theorem(or(not(r),X0))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f1032,f37]) ).
fof(f1208,plain,
! [X0] :
( theorem(or(sF10,X0))
| ~ theorem(or(not(r),X0))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f1199,f39]) ).
fof(f1209,plain,
! [X0] :
( ~ theorem(or(sF3,X0))
| theorem(or(sF10,X0))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f1208,f25]) ).
fof(f1210,plain,
! [X0] :
( ~ theorem(or(sF3,X0))
| ~ theorem(or(sF0,X0))
| theorem(or(sF10,X0)) ),
inference(forward_demodulation,[],[f1209,f19]) ).
fof(f1245,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f365,f16]) ).
fof(f1537,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f253,f607]) ).
fof(f1543,plain,
theorem(or(not(sF5),sF12)),
inference(resolution,[],[f1537,f466]) ).
fof(f1545,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f1543,f430]) ).
fof(f1556,plain,
theorem(or(or(p,sF3),sF12)),
inference(resolution,[],[f1545,f223]) ).
fof(f1629,plain,
theorem(or(not(sF2),sF8)),
inference(resolution,[],[f771,f607]) ).
fof(f1635,plain,
theorem(or(not(sF2),sF12)),
inference(resolution,[],[f1629,f466]) ).
fof(f1637,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f1635,f430]) ).
fof(f1645,plain,
theorem(or(or(p,sF0),sF12)),
inference(resolution,[],[f1637,f225]) ).
fof(f3010,plain,
! [X0] :
( ~ theorem(or(X0,sF12))
| theorem(sF12)
| ~ theorem(or(not(X0),sF11)) ),
inference(superposition,[],[f677,f43]) ).
fof(f3013,plain,
! [X0] :
( ~ theorem(or(not(X0),sF11))
| ~ theorem(or(X0,sF12)) ),
inference(forward_subsumption_resolution,[],[f3010,f44]) ).
fof(f3092,plain,
~ theorem(or(sF10,sF12)),
inference(resolution,[],[f3013,f774]) ).
fof(f3479,plain,
theorem(or(p,or(sF12,sF3))),
inference(resolution,[],[f1245,f1556]) ).
fof(f3480,plain,
theorem(or(p,or(sF12,sF0))),
inference(resolution,[],[f1245,f1645]) ).
fof(f3502,plain,
theorem(or(p,or(sF0,sF12))),
inference(resolution,[],[f3480,f327]) ).
fof(f3518,plain,
( theorem(or(sF0,sF12))
| ~ theorem(or(not(p),sF12)) ),
inference(resolution,[],[f3502,f677]) ).
fof(f3521,plain,
theorem(or(sF0,sF12)),
inference(forward_subsumption_resolution,[],[f3518,f819]) ).
fof(f3545,plain,
theorem(or(p,or(sF3,sF12))),
inference(resolution,[],[f3479,f327]) ).
fof(f3561,plain,
( theorem(or(sF3,sF12))
| ~ theorem(or(not(p),sF12)) ),
inference(resolution,[],[f3545,f677]) ).
fof(f3564,plain,
theorem(or(sF3,sF12)),
inference(forward_subsumption_resolution,[],[f3561,f819]) ).
fof(f3565,plain,
( ~ theorem(or(sF0,sF12))
| theorem(or(sF10,sF12)) ),
inference(resolution,[],[f3564,f1210]) ).
fof(f3568,plain,
theorem(or(sF10,sF12)),
inference(forward_subsumption_resolution,[],[f3565,f3521]) ).
fof(f3569,plain,
$false,
inference(forward_subsumption_resolution,[],[f3568,f3092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL252-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:31:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.45/2.39 % (2177786)Input is clausal, will run a generic CNF schedule.
% 10.45/2.39 % (2177794)lrs+10_1_sil=8000:sp=occurrence:random_seed=3590021847:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.45/2.39 % (2177797)dis-21_1_sil=8000:lcm=predicate:random_seed=1810237527: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)
% 10.45/2.39 % (2177795)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2700224937:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.45/2.39 % (2177792)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1552545:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.45/2.39 % (2177796)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3292852532:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.45/2.39 % (2177791)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=3431269764:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.45/2.39 % (2177793)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1727557463:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.45/2.39 % (2177794)Instruction limit reached!
% 10.45/2.39 % (2177794)------------------------------
% 10.45/2.39 % (2177794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177794)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177794)Termination reason: Instruction limit
% 10.45/2.39 % (2177794)Termination phase: Saturation
% 10.45/2.39 % (2177794)Time elapsed: 0.037 s
% 10.45/2.39 % (2177794)Peak memory usage: 89 MB
% 10.45/2.39 % (2177794)Instructions burned: 107 (million)
% 10.45/2.39 % (2177797)Instruction limit reached!
% 10.45/2.39 % (2177797)------------------------------
% 10.45/2.39 % (2177797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177797)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177797)Termination reason: Instruction limit
% 10.45/2.39 % (2177797)Termination phase: Saturation
% 10.45/2.39 % (2177797)Time elapsed: 0.058 s
% 10.45/2.39 % (2177797)Peak memory usage: 87 MB
% 10.45/2.39 % (2177797)Instructions burned: 117 (million)
% 10.45/2.39 % (2177795)Instruction limit reached!
% 10.45/2.39 % (2177795)------------------------------
% 10.45/2.39 % (2177795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177795)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177795)Termination reason: Instruction limit
% 10.45/2.39 % (2177795)Termination phase: Saturation
% 10.45/2.39 % (2177795)Time elapsed: 0.073 s
% 10.45/2.39 % (2177795)Peak memory usage: 88 MB
% 10.45/2.39 % (2177795)Instructions burned: 114 (million)
% 10.45/2.39 % (2177796)Instruction limit reached!
% 10.45/2.39 % (2177796)------------------------------
% 10.45/2.39 % (2177796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177796)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177796)Termination reason: Instruction limit
% 10.45/2.39 % (2177796)Termination phase: Saturation
% 10.45/2.39 % (2177796)Time elapsed: 0.111 s
% 10.45/2.39 % (2177796)Peak memory usage: 89 MB
% 10.45/2.39 % (2177796)Instructions burned: 180 (million)
% 10.45/2.39 % (2177805)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=3859477886:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.45/2.39 % (2177805)Refutation not found, incomplete strategy
% 10.45/2.39 % (2177805)------------------------------
% 10.45/2.39 % (2177805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177805)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177805)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.39 % (2177805)Time elapsed: 0.001 s
% 10.45/2.39 % (2177805)Peak memory usage: 88 MB
% 10.45/2.39 % (2177806)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1242415080: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)
% 10.45/2.39 % (2177806)Refutation not found, incomplete strategy
% 10.45/2.39 % (2177806)------------------------------
% 10.45/2.39 % (2177806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177806)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177806)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.39 % (2177806)Time elapsed: 0.001 s
% 10.45/2.39 % (2177806)Peak memory usage: 87 MB
% 10.45/2.39 % (2177807)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2729872086:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.45/2.39 % (2177807)Refutation not found, incomplete strategy
% 10.45/2.39 % (2177807)------------------------------
% 10.45/2.39 % (2177807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177807)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177807)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.39 % (2177807)Time elapsed: 0.002 s
% 10.45/2.39 % (2177807)Peak memory usage: 88 MB
% 10.45/2.39 % (2177807)Instructions burned: 1 (million)
% 10.45/2.39 % (2177805)------------------------------
% 10.45/2.39 % (2177805)------------------------------
% 10.45/2.39 % (2177808)lrs+10_64_to=lpo:sil=8000:random_seed=2528517248:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.45/2.39 % (2177808)Instruction limit reached!
% 10.45/2.39 % (2177808)------------------------------
% 10.45/2.39 % (2177808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177808)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177808)Termination reason: Instruction limit
% 10.45/2.39 % (2177808)Termination phase: Saturation
% 10.45/2.39 % (2177808)Time elapsed: 0.073 s
% 10.45/2.39 % (2177808)Peak memory usage: 89 MB
% 10.45/2.39 % (2177808)Instructions burned: 126 (million)
% 10.45/2.39 % (2177812)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1956782773:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.45/2.39 % (2177806)------------------------------
% 10.45/2.39 % (2177806)------------------------------
% 10.45/2.39 % (2177807)------------------------------
% 10.45/2.39 % (2177807)------------------------------
% 10.45/2.39 % (2177812)Instruction limit reached!
% 10.45/2.39 % (2177812)------------------------------
% 10.45/2.39 % (2177812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177812)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177812)Termination reason: Instruction limit
% 10.45/2.39 % (2177812)Termination phase: Saturation
% 10.45/2.39 % (2177812)Time elapsed: 0.067 s
% 10.45/2.39 % (2177812)Peak memory usage: 90 MB
% 10.45/2.39 % (2177812)Instructions burned: 195 (million)
% 10.45/2.39 % (2177814)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3074568441:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.45/2.39 % (2177816)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1901567799:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 10.45/2.39 % (2177818)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=746183210:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.45/2.39 % (2177817)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=1229960041:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.45/2.39 % (2177818)Refutation not found, incomplete strategy
% 10.45/2.39 % (2177818)------------------------------
% 10.45/2.39 % (2177818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177818)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177818)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.39 % (2177818)Time elapsed: 0.001 s
% 10.45/2.39 % (2177818)Peak memory usage: 87 MB
% 10.45/2.39 % (2177814)Instruction limit reached!
% 10.45/2.39 % (2177814)------------------------------
% 10.45/2.39 % (2177814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177814)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177814)Termination reason: Instruction limit
% 10.45/2.39 % (2177814)Termination phase: Saturation
% 10.45/2.39 % (2177814)Time elapsed: 0.103 s
% 10.45/2.39 % (2177814)Peak memory usage: 91 MB
% 10.45/2.39 % (2177814)Instructions burned: 157 (million)
% 10.45/2.39 % (2177817)Instruction limit reached!
% 10.45/2.39 % (2177817)------------------------------
% 10.45/2.39 % (2177817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177817)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177817)Termination reason: Instruction limit
% 10.45/2.39 % (2177817)Termination phase: Saturation
% 10.45/2.39 % (2177817)Time elapsed: 0.057 s
% 10.45/2.39 % (2177817)Peak memory usage: 88 MB
% 10.45/2.39 % (2177817)Instructions burned: 107 (million)
% 10.45/2.39 % (2177823)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4236605765:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 10.45/2.39 % (2177824)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4065191859:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.45/2.39 % (2177818)------------------------------
% 10.45/2.39 % (2177818)------------------------------
% 10.45/2.39 % (2177823)Instruction limit reached!
% 10.45/2.39 % (2177823)------------------------------
% 10.45/2.39 % (2177823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177823)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177823)Termination reason: Instruction limit
% 10.45/2.39 % (2177823)Termination phase: Saturation
% 10.45/2.39 % (2177823)Time elapsed: 0.162 s
% 10.45/2.39 % (2177823)Peak memory usage: 90 MB
% 10.45/2.39 % (2177823)Instructions burned: 243 (million)
% 10.45/2.39 % (2177827)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3716102877:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 10.45/2.39 % (2177827)Instruction limit reached!
% 10.45/2.39 % (2177827)------------------------------
% 10.45/2.39 % (2177827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.39 % (2177827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.39 % (2177827)CaDiCaL version: 2.1.3
% 10.45/2.39 % (2177827)Termination reason: Instruction limit
% 10.45/2.39 % (2177827)Termination phase: Saturation
% 10.45/2.39 % (2177827)Time elapsed: 0.085 s
% 10.45/2.39 % (2177827)Peak memory usage: 89 MB
% 10.45/2.39 % (2177827)Instructions burned: 135 (million)
% 10.45/2.39 % (2177791)First to succeed.
% 10.45/2.39 % (2177791)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2177786"
% 10.45/2.39 % (2177828)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2377993484:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 10.45/2.39 % (2177830)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3152102043:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 10.45/2.39 % (2177791)Refutation found. Thanks to Tanya!
% 10.45/2.39 % SZS status Unsatisfiable for theBenchmark
% 10.45/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 11.43/2.59 % (2177791)------------------------------
% 11.43/2.59 % (2177791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.59 % (2177791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.59 % (2177791)CaDiCaL version: 2.1.3
% 11.43/2.59 % (2177791)Termination reason: Refutation
% 11.43/2.59 % (2177791)Time elapsed: 1.113 s
% 11.43/2.59 % (2177791)Peak memory usage: 133 MB
% 11.43/2.59 % (2177791)Instructions burned: 1690 (million)
% 11.43/2.59 % (2177791)------------------------------
% 11.43/2.59 % (2177791)------------------------------
% 11.43/2.59 % (2177786)Success in time 1.546 s
% 11.43/2.59 % Vampire exiting
%------------------------------------------------------------------------------