%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL253-3 : 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 : 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 8.91s 2.31s
% Output : Refutation 10.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 114 ( 75 unt; 13 def)
% Number of atoms : 162 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 101 ( 53 ~; 47 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 113 !; 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(implies(p,q),implies(and(p,r),and(q,r)))),
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(or(not(p),q)),or(not(not(or(not(p),not(r)))),not(or(not(q),not(r)))))),
inference(definition_unfolding,[],[f10,f6,f6,f6,f9,f9]) ).
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,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
or(sF0,q) = 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(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f27,plain,
or(sF0,sF3) = 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 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f31,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF7 = not(q),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f33,plain,
not(q) = sF7,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF8 = or(sF7,sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f35,plain,
or(sF7,sF3) = sF8,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f37,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF10 = or(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f39,plain,
or(sF6,sF9) = sF10,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF11 = or(sF2,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f41,plain,
or(sF2,sF10) = sF11,
inference(reorient_equations,[],[f40]) ).
fof(f42,plain,
~ theorem(sF11),
inference(definition_folding,[],[f17,f41,f39,f37,f35,f25,f33,f31,f29,f27,f25,f19,f23,f21,f19]) ).
fof(f43,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f62,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f16,f43]) ).
fof(f122,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f14,f7]) ).
fof(f136,plain,
! [X0] : theorem(or(not(or(sF2,or(X0,sF10))),or(X0,sF11))),
inference(superposition,[],[f122,f41]) ).
fof(f137,plain,
! [X0] : theorem(or(not(or(sF6,or(X0,sF9))),or(X0,sF10))),
inference(superposition,[],[f122,f39]) ).
fof(f179,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f13,f7]) ).
fof(f193,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f179,f16]) ).
fof(f195,plain,
theorem(or(not(sF1),or(q,sF0))),
inference(superposition,[],[f179,f21]) ).
fof(f199,plain,
theorem(or(not(sF8),or(sF3,sF7))),
inference(superposition,[],[f179,f35]) ).
fof(f205,plain,
theorem(or(sF9,or(sF3,sF7))),
inference(forward_demodulation,[],[f199,f37]) ).
fof(f207,plain,
theorem(or(sF2,or(q,sF0))),
inference(forward_demodulation,[],[f195,f23]) ).
fof(f208,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f232,plain,
theorem(or(not(sF3),sF4)),
inference(superposition,[],[f208,f27]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f62,f16]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f255,f122]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f255,f179]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f255,f62]) ).
fof(f276,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f255,f208]) ).
fof(f281,plain,
! [X0,X1] :
( ~ theorem(or(sF5,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF4)) ),
inference(superposition,[],[f255,f29]) ).
fof(f288,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f274,f208]) ).
fof(f295,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,[],[f275,f122]) ).
fof(f296,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f275,f179]) ).
fof(f308,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f276,f274]) ).
fof(f316,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f11,f7]) ).
fof(f317,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f316,f255]) ).
fof(f326,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f317,f208]) ).
fof(f330,plain,
! [X0] :
( ~ theorem(or(sF2,or(X0,sF10)))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f136,f16]) ).
fof(f367,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f273,f179]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f295,f16]) ).
fof(f406,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF10)) ),
inference(superposition,[],[f308,f39]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f296,f16]) ).
fof(f414,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f296,f317]) ).
fof(f437,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f326,f193]) ).
fof(f446,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f330,f308]) ).
fof(f554,plain,
theorem(or(not(sF0),sF4)),
inference(superposition,[],[f288,f27]) ).
fof(f580,definition,
( spl12_19
<=> theorem(or(sF0,sF11)) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f581,plain,
( ~ theorem(or(sF0,sF11))
| spl12_19 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f593,plain,
! [X0] :
( theorem(or(X0,not(sF5)))
| ~ theorem(or(X0,sF4)) ),
inference(resolution,[],[f281,f437]) ).
fof(f594,plain,
! [X0] :
( ~ theorem(or(X0,sF4))
| theorem(or(X0,sF6)) ),
inference(forward_demodulation,[],[f593,f31]) ).
fof(f638,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f414,f378]) ).
fof(f711,plain,
theorem(or(not(or(sF6,or(sF2,sF9))),sF11)),
inference(superposition,[],[f137,f41]) ).
fof(f719,plain,
theorem(or(or(q,sF0),sF11)),
inference(resolution,[],[f207,f446]) ).
fof(f732,plain,
! [X0] :
( ~ theorem(or(X0,or(sF6,or(sF2,sF9))))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f711,f255]) ).
fof(f737,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f732,f308]) ).
fof(f738,plain,
! [X0] :
( ~ theorem(or(X0,or(sF2,sF9)))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f732,f276]) ).
fof(f771,plain,
theorem(or(not(sF9),sF11)),
inference(resolution,[],[f738,f208]) ).
fof(f783,plain,
! [X0] :
( ~ theorem(or(sF9,X0))
| theorem(or(X0,sF11)) ),
inference(resolution,[],[f771,f410]) ).
fof(f1068,plain,
theorem(or(or(sF3,sF7),sF11)),
inference(resolution,[],[f783,f205]) ).
fof(f1345,plain,
theorem(or(not(sF3),sF6)),
inference(resolution,[],[f232,f594]) ).
fof(f1352,plain,
theorem(or(not(sF3),sF11)),
inference(resolution,[],[f1345,f737]) ).
fof(f1387,plain,
theorem(or(not(sF0),sF6)),
inference(resolution,[],[f554,f594]) ).
fof(f1393,plain,
theorem(or(not(sF0),sF10)),
inference(resolution,[],[f1387,f406]) ).
fof(f1447,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f367,f16]) ).
fof(f2352,plain,
! [X0] :
( ~ theorem(or(X0,sF11))
| theorem(sF11)
| ~ theorem(or(not(X0),sF10)) ),
inference(superposition,[],[f638,f41]) ).
fof(f2357,plain,
! [X0] :
( ~ theorem(or(not(X0),sF10))
| ~ theorem(or(X0,sF11)) ),
inference(forward_subsumption_resolution,[],[f2352,f42]) ).
fof(f2388,plain,
~ theorem(or(sF0,sF11)),
inference(resolution,[],[f2357,f1393]) ).
fof(f2432,plain,
~ spl12_19,
inference(avatar_split_clause,[],[f2388,f580]) ).
fof(f2668,plain,
theorem(or(q,or(sF11,sF0))),
inference(resolution,[],[f1447,f719]) ).
fof(f2669,plain,
theorem(or(sF3,or(sF11,sF7))),
inference(resolution,[],[f1447,f1068]) ).
fof(f2680,plain,
theorem(or(q,or(sF0,sF11))),
inference(resolution,[],[f2668,f274]) ).
fof(f2724,plain,
( theorem(or(sF0,sF11))
| ~ theorem(or(not(q),sF11)) ),
inference(resolution,[],[f2680,f638]) ).
fof(f2727,plain,
( ~ theorem(or(not(q),sF11))
| spl12_19 ),
inference(forward_subsumption_resolution,[],[f2724,f581]) ).
fof(f2728,plain,
( ~ theorem(or(sF7,sF11))
| spl12_19 ),
inference(forward_demodulation,[],[f2727,f33]) ).
fof(f2756,plain,
theorem(or(sF3,or(sF7,sF11))),
inference(resolution,[],[f2669,f274]) ).
fof(f2773,plain,
( theorem(or(sF7,sF11))
| ~ theorem(or(not(sF3),sF11)) ),
inference(resolution,[],[f2756,f638]) ).
fof(f2776,plain,
( ~ theorem(or(not(sF3),sF11))
| spl12_19 ),
inference(forward_subsumption_resolution,[],[f2773,f2728]) ).
fof(f2777,plain,
( $false
| spl12_19 ),
inference(forward_subsumption_resolution,[],[f2776,f1352]) ).
fof(f2778,plain,
spl12_19,
inference(avatar_contradiction_clause,[],[f2777]) ).
cnf(s69,plain,
~ spl12_19,
inference(sat_conversion,[],[f2432]) ).
cnf(s89,plain,
spl12_19,
inference(sat_conversion,[],[f2778]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s69,s89]) ).
fof(f2779,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL253-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:33:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 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
% 8.91/2.31 % (3005850)Input is clausal, will run a generic CNF schedule.
% 8.91/2.31 % (3005859)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2707955188:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.91/2.31 % (3005861)dis-21_1_sil=8000:lcm=predicate:random_seed=3791365817: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)
% 8.91/2.31 % (3005856)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3588666197:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.91/2.31 % (3005857)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2010859574:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.91/2.31 % (3005855)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=1540016563:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.91/2.31 % (3005858)lrs+10_1_sil=8000:sp=occurrence:random_seed=112877887:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.91/2.31 % (3005860)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1918220102:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.91/2.31 % (3005859)Instruction limit reached!
% 8.91/2.31 % (3005859)------------------------------
% 8.91/2.31 % (3005859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005859)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005859)Termination reason: Instruction limit
% 8.91/2.31 % (3005859)Termination phase: Saturation
% 8.91/2.31 % (3005859)Time elapsed: 0.039 s
% 8.91/2.31 % (3005859)Peak memory usage: 89 MB
% 8.91/2.31 % (3005859)Instructions burned: 115 (million)
% 8.91/2.31 % (3005861)Instruction limit reached!
% 8.91/2.31 % (3005861)------------------------------
% 8.91/2.31 % (3005861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005861)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005861)Termination reason: Instruction limit
% 8.91/2.31 % (3005861)Termination phase: Saturation
% 8.91/2.31 % (3005861)Time elapsed: 0.059 s
% 8.91/2.31 % (3005861)Peak memory usage: 87 MB
% 8.91/2.31 % (3005861)Instructions burned: 118 (million)
% 8.91/2.31 % (3005858)Instruction limit reached!
% 8.91/2.31 % (3005858)------------------------------
% 8.91/2.31 % (3005858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005858)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005858)Termination reason: Instruction limit
% 8.91/2.31 % (3005858)Termination phase: Saturation
% 8.91/2.31 % (3005858)Time elapsed: 0.072 s
% 8.91/2.31 % (3005858)Peak memory usage: 89 MB
% 8.91/2.31 % (3005858)Instructions burned: 108 (million)
% 8.91/2.31 % (3005860)Instruction limit reached!
% 8.91/2.31 % (3005860)------------------------------
% 8.91/2.31 % (3005860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005860)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005860)Termination reason: Instruction limit
% 8.91/2.31 % (3005860)Termination phase: Saturation
% 8.91/2.31 % (3005860)Time elapsed: 0.115 s
% 8.91/2.31 % (3005860)Peak memory usage: 89 MB
% 8.91/2.31 % (3005860)Instructions burned: 182 (million)
% 8.91/2.31 % (3005869)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=2352505846:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.91/2.31 % (3005869)Refutation not found, incomplete strategy
% 8.91/2.31 % (3005869)------------------------------
% 8.91/2.31 % (3005869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005869)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005869)Termination reason: Refutation not found, incomplete strategy
% 8.91/2.31 % (3005869)Time elapsed: 0.001 s
% 8.91/2.31 % (3005869)Peak memory usage: 88 MB
% 8.91/2.31 % (3005871)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4250868329:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.91/2.31 % (3005870)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1281713262: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)
% 8.91/2.31 % (3005870)Refutation not found, incomplete strategy
% 8.91/2.31 % (3005870)------------------------------
% 8.91/2.31 % (3005870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005870)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005870)Termination reason: Refutation not found, incomplete strategy
% 8.91/2.31 % (3005870)Time elapsed: 0.013 s
% 8.91/2.31 % (3005870)Peak memory usage: 87 MB
% 8.91/2.31 % (3005871)Refutation not found, incomplete strategy
% 8.91/2.31 % (3005871)------------------------------
% 8.91/2.31 % (3005871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005871)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005871)Termination reason: Refutation not found, incomplete strategy
% 8.91/2.31 % (3005871)Time elapsed: 0.013 s
% 8.91/2.31 % (3005871)Peak memory usage: 88 MB
% 8.91/2.31 % (3005871)Instructions burned: 1 (million)
% 8.91/2.31 % (3005873)lrs+10_64_to=lpo:sil=8000:random_seed=1673617853:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.91/2.31 % (3005869)------------------------------
% 8.91/2.31 % (3005869)------------------------------
% 8.91/2.31 % (3005873)Instruction limit reached!
% 8.91/2.31 % (3005873)------------------------------
% 8.91/2.31 % (3005873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005873)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005873)Termination reason: Instruction limit
% 8.91/2.31 % (3005873)Termination phase: Saturation
% 8.91/2.31 % (3005873)Time elapsed: 0.074 s
% 8.91/2.31 % (3005873)Peak memory usage: 89 MB
% 8.91/2.31 % (3005873)Instructions burned: 126 (million)
% 8.91/2.31 % (3005877)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4130896363:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.91/2.31 % (3005877)Instruction limit reached!
% 8.91/2.31 % (3005877)------------------------------
% 8.91/2.31 % (3005877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005877)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005877)Termination reason: Instruction limit
% 8.91/2.31 % (3005877)Termination phase: Saturation
% 8.91/2.31 % (3005877)Time elapsed: 0.070 s
% 8.91/2.31 % (3005877)Peak memory usage: 90 MB
% 8.91/2.31 % (3005877)Instructions burned: 197 (million)
% 8.91/2.31 % (3005878)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=718463850:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.91/2.31 % (3005870)------------------------------
% 8.91/2.31 % (3005870)------------------------------
% 8.91/2.31 % (3005871)------------------------------
% 8.91/2.31 % (3005871)------------------------------
% 8.91/2.31 % (3005880)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2155643728:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.91/2.31 % (3005878)Instruction limit reached!
% 8.91/2.31 % (3005878)------------------------------
% 8.91/2.31 % (3005878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005878)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005878)Termination reason: Instruction limit
% 8.91/2.31 % (3005878)Termination phase: Saturation
% 8.91/2.31 % (3005878)Time elapsed: 0.105 s
% 8.91/2.31 % (3005878)Peak memory usage: 91 MB
% 8.91/2.31 % (3005878)Instructions burned: 157 (million)
% 8.91/2.31 % (3005882)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=2759376767:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.91/2.31 % (3005883)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2548757687:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.91/2.31 % (3005883)Refutation not found, incomplete strategy
% 8.91/2.31 % (3005883)------------------------------
% 8.91/2.31 % (3005883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005883)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005883)Termination reason: Refutation not found, incomplete strategy
% 8.91/2.31 % (3005883)Time elapsed: 0.001 s
% 8.91/2.31 % (3005883)Peak memory usage: 87 MB
% 8.91/2.31 % (3005882)Instruction limit reached!
% 8.91/2.31 % (3005882)------------------------------
% 8.91/2.31 % (3005882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005882)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005882)Termination reason: Instruction limit
% 8.91/2.31 % (3005882)Termination phase: Saturation
% 8.91/2.31 % (3005882)Time elapsed: 0.057 s
% 8.91/2.31 % (3005882)Peak memory usage: 88 MB
% 8.91/2.31 % (3005882)Instructions burned: 107 (million)
% 8.91/2.31 % (3005885)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3919893242:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.91/2.31 % (3005888)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=95700900:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.91/2.31 % (3005885)Instruction limit reached!
% 8.91/2.31 % (3005885)------------------------------
% 8.91/2.31 % (3005885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005885)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005885)Termination reason: Instruction limit
% 8.91/2.31 % (3005885)Termination phase: Saturation
% 8.91/2.31 % (3005885)Time elapsed: 0.159 s
% 8.91/2.31 % (3005885)Peak memory usage: 90 MB
% 8.91/2.31 % (3005885)Instructions burned: 243 (million)
% 8.91/2.31 % (3005883)------------------------------
% 8.91/2.31 % (3005883)------------------------------
% 8.91/2.31 % (3005891)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3527753895:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.91/2.31 % (3005892)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1173035413:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.91/2.31 % (3005855)First to succeed.
% 8.91/2.31 % (3005855)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3005850"
% 8.91/2.31 % (3005880)Also succeeded, but the first one will report.
% 8.91/2.31 % (3005891)Instruction limit reached!
% 8.91/2.31 % (3005891)------------------------------
% 8.91/2.31 % (3005891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005891)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005891)Termination reason: Instruction limit
% 8.91/2.31 % (3005891)Termination phase: Saturation
% 8.91/2.31 % (3005891)Time elapsed: 0.087 s
% 8.91/2.31 % (3005891)Peak memory usage: 90 MB
% 8.91/2.31 % (3005891)Instructions burned: 134 (million)
% 8.91/2.31 % (3005895)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=17016972:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 8.91/2.31 % (3005892)Instruction limit reached!
% 8.91/2.31 % (3005892)------------------------------
% 8.91/2.31 % (3005892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.31 % (3005892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.31 % (3005892)CaDiCaL version: 2.1.3
% 8.91/2.31 % (3005892)Termination reason: Instruction limit
% 8.91/2.31 % (3005892)Termination phase: Saturation
% 8.91/2.31 % (3005892)Time elapsed: 0.270 s
% 8.91/2.31 % (3005892)Peak memory usage: 92 MB
% 8.91/2.31 % (3005892)Instructions burned: 500 (million)
% 8.91/2.31 % (3005855)Refutation found. Thanks to Tanya!
% 8.91/2.31 % SZS status Unsatisfiable for theBenchmark
% 8.91/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 10.85/2.51 % (3005855)------------------------------
% 10.85/2.51 % (3005855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.51 % (3005855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.51 % (3005855)CaDiCaL version: 2.1.3
% 10.85/2.51 % (3005855)Termination reason: Refutation
% 10.85/2.51 % (3005855)Time elapsed: 1.045 s
% 10.85/2.51 % (3005855)Peak memory usage: 132 MB
% 10.85/2.51 % (3005855)Instructions burned: 1568 (million)
% 10.85/2.51 % (3005855)------------------------------
% 10.85/2.51 % (3005855)------------------------------
% 10.85/2.51 % (3005850)Success in time 1.454 s
% 10.85/2.51 % Vampire exiting
%------------------------------------------------------------------------------