%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL225-3 : 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 : n019.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 11:51:39 AM UTC 2026
% Result : Unsatisfiable 14.90s 3.60s
% Output : Refutation 14.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 75 ( 59 unt; 10 def)
% Number of atoms : 94 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 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,negated_conjecture,
~ theorem(implies(implies(p,implies(q,r)),implies(implies(p,q),implies(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,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(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6,f6]) ).
fof(f17,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(p) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = not(q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
not(q) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = or(sF1,r),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
or(sF1,r) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
or(sF0,q) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = or(sF0,r),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
or(sF0,r) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF8 = or(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f34,plain,
or(sF6,sF7) = sF8,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF9 = or(sF4,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f36,plain,
or(sF4,sF8) = sF9,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
~ theorem(sF9),
inference(definition_folding,[],[f16,f36,f34,f32,f18,f30,f28,f18,f26,f24,f22,f20,f18]) ).
fof(f40,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f14]) ).
fof(f49,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f54,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f15,f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f15,f49]) ).
fof(f93,plain,
! [X0] : theorem(or(not(or(sF0,or(X0,r))),or(X0,sF7))),
inference(superposition,[],[f49,f32]) ).
fof(f111,plain,
! [X0] : theorem(or(not(or(sF6,or(X0,sF7))),or(X0,sF8))),
inference(superposition,[],[f49,f34]) ).
fof(f117,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(not(sF5),or(sF0,X0)))),
inference(superposition,[],[f40,f28]) ).
fof(f122,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(sF6,or(sF0,X0)))),
inference(forward_demodulation,[],[f117,f30]) ).
fof(f124,plain,
! [X0] : theorem(or(not(or(sF1,X0)),or(sF6,or(sF0,X0)))),
inference(forward_demodulation,[],[f122,f20]) ).
fof(f148,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f163,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f148,f15]) ).
fof(f179,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f54,f15]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f241,f148]) ).
fof(f263,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f241,f179]) ).
fof(f291,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f293,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f291,f15]) ).
fof(f314,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f263,f261]) ).
fof(f322,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF9)) ),
inference(superposition,[],[f263,f36]) ).
fof(f418,plain,
theorem(or(not(or(sF0,sF2)),or(sF1,sF7))),
inference(superposition,[],[f93,f22]) ).
fof(f420,plain,
theorem(or(not(sF3),or(sF1,sF7))),
inference(forward_demodulation,[],[f418,f24]) ).
fof(f421,plain,
theorem(or(sF4,or(sF1,sF7))),
inference(forward_demodulation,[],[f420,f26]) ).
fof(f424,plain,
theorem(or(sF1,or(sF4,sF7))),
inference(resolution,[],[f421,f55]) ).
fof(f462,plain,
! [X0] :
( ~ theorem(or(X0,sF1))
| theorem(or(X0,sF2)) ),
inference(superposition,[],[f314,f22]) ).
fof(f741,plain,
theorem(or(not(or(sF6,or(sF4,sF7))),sF9)),
inference(superposition,[],[f111,f36]) ).
fof(f752,plain,
theorem(or(not(or(sF1,r)),or(sF6,sF7))),
inference(superposition,[],[f124,f32]) ).
fof(f755,plain,
theorem(or(not(or(sF1,r)),sF8)),
inference(forward_demodulation,[],[f752,f34]) ).
fof(f757,plain,
theorem(or(not(sF2),sF8)),
inference(forward_demodulation,[],[f755,f22]) ).
fof(f762,plain,
theorem(or(not(sF2),sF9)),
inference(resolution,[],[f757,f322]) ).
fof(f769,plain,
! [X0] :
( ~ theorem(or(X0,sF2))
| theorem(or(X0,sF9)) ),
inference(resolution,[],[f762,f241]) ).
fof(f877,plain,
! [X0] :
( ~ theorem(or(X0,or(sF6,or(sF4,sF7))))
| theorem(or(X0,sF9)) ),
inference(resolution,[],[f741,f241]) ).
fof(f884,plain,
! [X0] :
( ~ theorem(or(X0,or(sF4,sF7)))
| theorem(or(X0,sF9)) ),
inference(resolution,[],[f877,f263]) ).
fof(f927,plain,
theorem(or(sF1,sF9)),
inference(resolution,[],[f884,f424]) ).
fof(f928,plain,
theorem(or(sF9,sF1)),
inference(resolution,[],[f927,f163]) ).
fof(f929,plain,
theorem(or(sF9,sF2)),
inference(resolution,[],[f928,f462]) ).
fof(f936,plain,
theorem(or(sF9,sF9)),
inference(resolution,[],[f929,f769]) ).
fof(f939,plain,
theorem(sF9),
inference(resolution,[],[f936,f293]) ).
fof(f941,plain,
$false,
inference(forward_subsumption_resolution,[],[f939,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL225-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n019.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 15:28:03 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 12.46/3.23 % (3207798)Input is clausal, will run a generic CNF schedule.
% 12.46/3.23 % (3207823)lrs+10_1_sil=8000:sp=occurrence:random_seed=3756452580:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.46/3.23 % (3207821)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=204952147:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.46/3.23 % (3207820)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=3069439531:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.46/3.23 % (3207823)Instruction limit reached!
% 12.46/3.23 % (3207823)------------------------------
% 12.46/3.23 % (3207823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207823)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207823)Termination reason: Instruction limit
% 12.46/3.23 % (3207823)Termination phase: Saturation
% 12.46/3.23 % (3207823)Time elapsed: 0.058 s
% 12.46/3.23 % (3207823)Peak memory usage: 89 MB
% 12.46/3.23 % (3207823)Instructions burned: 108 (million)
% 12.46/3.23 % (3207824)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=138005777:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.46/3.23 % (3207822)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2083304970:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.46/3.23 % (3207825)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1236645834:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.46/3.23 % (3207826)dis-21_1_sil=8000:lcm=predicate:random_seed=2738583239: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)
% 12.46/3.23 % (3207824)Instruction limit reached!
% 12.46/3.23 % (3207824)------------------------------
% 12.46/3.23 % (3207824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207824)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207824)Termination reason: Instruction limit
% 12.46/3.23 % (3207824)Termination phase: Saturation
% 12.46/3.23 % (3207824)Time elapsed: 0.104 s
% 12.46/3.23 % (3207824)Peak memory usage: 87 MB
% 12.46/3.23 % (3207824)Instructions burned: 115 (million)
% 12.46/3.23 % (3207826)Instruction limit reached!
% 12.46/3.23 % (3207826)------------------------------
% 12.46/3.23 % (3207826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207826)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207826)Termination reason: Instruction limit
% 12.46/3.23 % (3207826)Termination phase: Saturation
% 12.46/3.23 % (3207826)Time elapsed: 0.091 s
% 12.46/3.23 % (3207826)Peak memory usage: 87 MB
% 12.46/3.23 % (3207826)Instructions burned: 118 (million)
% 12.46/3.23 % (3207825)Instruction limit reached!
% 12.46/3.23 % (3207825)------------------------------
% 12.46/3.23 % (3207825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207825)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207825)Termination reason: Instruction limit
% 12.46/3.23 % (3207825)Termination phase: Saturation
% 12.46/3.23 % (3207825)Time elapsed: 0.183 s
% 12.46/3.23 % (3207825)Peak memory usage: 89 MB
% 12.46/3.23 % (3207825)Instructions burned: 180 (million)
% 12.46/3.23 % (3207830)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=2962625356:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.46/3.23 % (3207830)Refutation not found, incomplete strategy
% 12.46/3.23 % (3207830)------------------------------
% 12.46/3.23 % (3207830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207830)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207830)Termination reason: Refutation not found, incomplete strategy
% 12.46/3.23 % (3207830)Time elapsed: 0.001 s
% 12.46/3.23 % (3207830)Peak memory usage: 87 MB
% 12.46/3.23 % (3207836)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3651080112:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.46/3.23 % (3207835)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3388603499:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 12.46/3.23 % (3207836)Refutation not found, incomplete strategy
% 12.46/3.23 % (3207836)------------------------------
% 12.46/3.23 % (3207836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207836)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207836)Termination reason: Refutation not found, incomplete strategy
% 12.46/3.23 % (3207836)Time elapsed: 0.001 s
% 12.46/3.23 % (3207836)Peak memory usage: 87 MB
% 12.46/3.23 % (3207835)Refutation not found, incomplete strategy
% 12.46/3.23 % (3207835)------------------------------
% 12.46/3.23 % (3207835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207835)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207835)Termination reason: Refutation not found, incomplete strategy
% 12.46/3.23 % (3207835)Time elapsed: 0.002 s
% 12.46/3.23 % (3207835)Peak memory usage: 87 MB
% 12.46/3.23 % (3207830)------------------------------
% 12.46/3.23 % (3207830)------------------------------
% 12.46/3.23 % (3207837)lrs+10_64_to=lpo:sil=8000:random_seed=78747051:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.46/3.23 % (3207837)Instruction limit reached!
% 12.46/3.23 % (3207837)------------------------------
% 12.46/3.23 % (3207837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207837)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207837)Termination reason: Instruction limit
% 12.46/3.23 % (3207837)Termination phase: Saturation
% 12.46/3.23 % (3207837)Time elapsed: 0.115 s
% 12.46/3.23 % (3207837)Peak memory usage: 89 MB
% 12.46/3.23 % (3207837)Instructions burned: 126 (million)
% 12.46/3.23 % (3207842)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=472571877:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 12.46/3.23 % (3207835)------------------------------
% 12.46/3.23 % (3207835)------------------------------
% 12.46/3.23 % (3207836)------------------------------
% 12.46/3.23 % (3207836)------------------------------
% 12.46/3.23 % (3207842)Instruction limit reached!
% 12.46/3.23 % (3207842)------------------------------
% 12.46/3.23 % (3207842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207842)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207842)Termination reason: Instruction limit
% 12.46/3.23 % (3207842)Termination phase: Saturation
% 12.46/3.23 % (3207842)Time elapsed: 0.153 s
% 12.46/3.23 % (3207842)Peak memory usage: 90 MB
% 12.46/3.23 % (3207842)Instructions burned: 194 (million)
% 12.46/3.23 % (3207843)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=495722210:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 12.46/3.23 % (3207843)Instruction limit reached!
% 12.46/3.23 % (3207843)------------------------------
% 12.46/3.23 % (3207843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/3.23 % (3207843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/3.23 % (3207843)CaDiCaL version: 2.1.3
% 12.46/3.23 % (3207843)Termination reason: Instruction limit
% 12.46/3.23 % (3207843)Termination phase: Saturation
% 12.46/3.23 % (3207843)Time elapsed: 0.163 s
% 12.46/3.23 % (3207843)Peak memory usage: 91 MB
% 12.46/3.23 % (3207843)Instructions burned: 157 (million)
% 12.46/3.23 % (3207845)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1455360072:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 12.46/3.23 % (3207846)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=4261435956:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 12.46/3.23 % (3207848)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2804220469:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 12.46/3.23 % (3207848)Refutation not found, incomplete strategy
% 14.90/3.60 % (3207848)------------------------------
% 14.90/3.60 % (3207848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/3.60 % (3207848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/3.60 % (3207848)CaDiCaL version: 2.1.3
% 14.90/3.60 % (3207848)Termination reason: Refutation not found, incomplete strategy
% 14.90/3.60 % (3207848)Time elapsed: 0.001 s
% 14.90/3.60 % (3207848)Peak memory usage: 87 MB
% 14.90/3.60 % (3207846)Instruction limit reached!
% 14.90/3.60 % (3207846)------------------------------
% 14.90/3.60 % (3207846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/3.60 % (3207846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/3.60 % (3207846)CaDiCaL version: 2.1.3
% 14.90/3.60 % (3207846)Termination reason: Instruction limit
% 14.90/3.60 % (3207846)Termination phase: Saturation
% 14.90/3.60 % (3207846)Time elapsed: 0.094 s
% 14.90/3.60 % (3207846)Peak memory usage: 88 MB
% 14.90/3.60 % (3207846)Instructions burned: 106 (million)
% 14.90/3.60 % (3207820)First to succeed.
% 14.90/3.60 % (3207820)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3207798"
% 14.90/3.60 % (3207848)------------------------------
% 14.90/3.60 % (3207848)------------------------------
% 14.90/3.60 % (3207849)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1581086396:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 14.90/3.60 % (3207853)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1205672048:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 14.90/3.60 % (3207849)Instruction limit reached!
% 14.90/3.60 % (3207849)------------------------------
% 14.90/3.60 % (3207849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/3.60 % (3207849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/3.60 % (3207849)CaDiCaL version: 2.1.3
% 14.90/3.60 % (3207849)Termination reason: Instruction limit
% 14.90/3.60 % (3207849)Termination phase: Saturation
% 14.90/3.60 % (3207849)Time elapsed: 0.245 s
% 14.90/3.60 % (3207849)Peak memory usage: 89 MB
% 14.90/3.60 % (3207849)Instructions burned: 242 (million)
% 14.90/3.60 % (3207854)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2723727503:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 14.90/3.60 % (3207820)Refutation found. Thanks to Tanya!
% 14.90/3.60 % SZS status Unsatisfiable for theBenchmark
% 14.90/3.60 % SZS output start Proof for theBenchmark
% See solution above
% 14.90/3.60 % (3207820)------------------------------
% 14.90/3.60 % (3207820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/3.60 % (3207820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/3.60 % (3207820)CaDiCaL version: 2.1.3
% 15.03/3.60 % (3207820)Termination reason: Refutation
% 15.03/3.60 % (3207820)Time elapsed: 1.275 s
% 15.03/3.60 % (3207820)Peak memory usage: 130 MB
% 15.03/3.60 % (3207820)Instructions burned: 1187 (million)
% 15.03/3.60 % (3207820)------------------------------
% 15.03/3.60 % (3207820)------------------------------
% 15.03/3.60 % (3207798)Success in time 1.967 s
% 15.03/3.60 % Vampire exiting
%------------------------------------------------------------------------------