%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL042-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:51:00 AM UTC 2026
% Result : Unsatisfiable 13.35s 2.76s
% Output : Refutation 14.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 149 ( 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f3,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(reorient_equations,[],[f4]) ).
fof(f8,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).
fof(f9,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_22) ).
fof(f11,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).
fof(f13,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_35) ).
fof(f15,plain,
true != is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
inference(reorient_equations,[],[f14]) ).
fof(f17,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X2,X0),implies(X2,X1))),true),true),
inference(superposition,[],[f3,f11]) ).
fof(f19,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(X1,implies(X0,X2))),true),true),
inference(superposition,[],[f3,f9]) ).
fof(f32,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(X1,implies(X0,X2))),true),
inference(forward_demodulation,[],[f19,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X2,X0),implies(X2,X1))),true),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f56,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),true),
inference(superposition,[],[f32,f13]) ).
fof(f57,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),implies(X2,X1)))),true),
inference(superposition,[],[f32,f11]) ).
fof(f71,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),implies(X2,X1)))),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f72,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f77,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true),
inference(superposition,[],[f3,f71]) ).
fof(f81,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f87,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(not(X0),X1)),implies(X2,implies(implies(X0,X1),X1)))),true),
inference(superposition,[],[f34,f72]) ).
fof(f93,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(not(X0),X1)),implies(X2,implies(implies(X0,X1),X1)))),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f97,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X2,X0),implies(X2,X1)),X3),implies(implies(X0,X1),X3))),true),
inference(superposition,[],[f81,f11]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),true),
inference(superposition,[],[f81,f71]) ).
fof(f113,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f114,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X2,X0),implies(X2,X1)),X3),implies(implies(X0,X1),X3))),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f121,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X2)),X3)),true,is_a_theorem(implies(implies(X1,X2),X3)),true),true),
inference(superposition,[],[f3,f114]) ).
fof(f125,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X2)),X3)),true,is_a_theorem(implies(implies(X1,X2),X3)),true),
inference(forward_demodulation,[],[f121,f1]) ).
fof(f135,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true),
inference(superposition,[],[f3,f113]) ).
fof(f139,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f148,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(not(X1),X2))),true,is_a_theorem(implies(X0,implies(implies(X1,X2),X2))),true),true),
inference(superposition,[],[f3,f93]) ).
fof(f152,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(not(X1),X2))),true,is_a_theorem(implies(X0,implies(implies(X1,X2),X2))),true),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f159,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(implies(X1,implies(X0,X2)),implies(X0,X2)))),true),
inference(superposition,[],[f152,f9]) ).
fof(f171,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(implies(X1,implies(X0,X2)),implies(X0,X2)))),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f181,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(not(X1),X2))),true,is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X0,X2))),true),true),
inference(superposition,[],[f3,f171]) ).
fof(f185,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(not(X1),X2))),true,is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X0,X2))),true),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f241,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),true),
inference(superposition,[],[f185,f5]) ).
fof(f253,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f953,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),implies(implies(X0,X1),X3)))),true),
inference(superposition,[],[f125,f114]) ).
fof(f995,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),implies(implies(X0,X1),X3)))),
inference(forward_demodulation,[],[f953,f1]) ).
fof(f1441,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X2))),true),true),
inference(superposition,[],[f3,f995]) ).
fof(f1460,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X2))),true),
inference(forward_demodulation,[],[f1441,f1]) ).
fof(f5071,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(implies(X0,X2),implies(X0,X1)))),true),
inference(superposition,[],[f1460,f253]) ).
fof(f5229,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(implies(X0,X2),implies(X0,X1)))),
inference(forward_demodulation,[],[f5071,f1]) ).
fof(f5283,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,X0),implies(implies(X2,implies(X0,X1)),implies(X2,X1)))),true),
inference(superposition,[],[f139,f5229]) ).
fof(f5288,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,X0),implies(implies(X2,implies(X0,X1)),implies(X2,X1)))),
inference(forward_demodulation,[],[f5283,f1]) ).
fof(f5392,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),true),
inference(superposition,[],[f32,f5288]) ).
fof(f5441,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f5392,f1]) ).
fof(f5446,plain,
true != true,
inference(superposition,[],[f15,f5441]) ).
fof(f5491,plain,
$false,
inference(trivial_inequality_removal,[],[f5446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL042-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.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 15:20:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 13.35/2.76 % (2496992)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.35/2.76 % (2497003)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2391368663:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 13.35/2.76 % (2496997)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3418502090:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 13.35/2.76 % (2497000)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3567013577:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 13.35/2.76 % (2497001)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2464986438:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 13.35/2.76 % (2496998)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3478121107:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 13.35/2.76 % (2496999)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=9740597:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 13.35/2.76 % (2497002)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=545275735:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 13.35/2.76 % (2497000)Instruction limit reached!
% 13.35/2.76 % (2497000)------------------------------
% 13.35/2.76 % (2497000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497000)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497000)Termination reason: Instruction limit
% 13.35/2.76 % (2497000)Termination phase: Saturation
% 13.35/2.76 % (2497000)Time elapsed: 0.084 s
% 13.35/2.76 % (2497000)Peak memory usage: 89 MB
% 13.35/2.76 % (2497000)Instructions burned: 137 (million)
% 13.35/2.76 % (2497001)Instruction limit reached!
% 13.35/2.76 % (2497001)------------------------------
% 13.35/2.76 % (2497001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497001)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497001)Termination reason: Instruction limit
% 13.35/2.76 % (2497001)Termination phase: Saturation
% 13.35/2.76 % (2497001)Time elapsed: 0.102 s
% 13.35/2.76 % (2497001)Peak memory usage: 90 MB
% 13.35/2.76 % (2497001)Instructions burned: 181 (million)
% 13.35/2.76 % (2497002)Instruction limit reached!
% 13.35/2.76 % (2497002)------------------------------
% 13.35/2.76 % (2497002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497002)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497002)Termination reason: Instruction limit
% 13.35/2.76 % (2497002)Termination phase: Saturation
% 13.35/2.76 % (2497002)Time elapsed: 0.164 s
% 13.35/2.76 % (2497002)Peak memory usage: 91 MB
% 13.35/2.76 % (2497002)Instructions burned: 258 (million)
% 13.35/2.76 % (2497011)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3006103318:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 13.35/2.76 % (2497012)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2391717597:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 13.35/2.76 % (2497003)Instruction limit reached!
% 13.35/2.76 % (2497003)------------------------------
% 13.35/2.76 % (2497003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497003)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497003)Termination reason: Instruction limit
% 13.35/2.76 % (2497003)Termination phase: Saturation
% 13.35/2.76 % (2497003)Time elapsed: 0.368 s
% 13.35/2.76 % (2497003)Peak memory usage: 99 MB
% 13.35/2.76 % (2497003)Instructions burned: 1189 (million)
% 13.35/2.76 % (2497013)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2365194075:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 13.35/2.76 % (2497013)Instruction limit reached!
% 13.35/2.76 % (2497013)------------------------------
% 13.35/2.76 % (2497013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497013)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497013)Termination reason: Instruction limit
% 13.35/2.76 % (2497013)Termination phase: Saturation
% 13.35/2.76 % (2497013)Time elapsed: 0.115 s
% 13.35/2.76 % (2497013)Peak memory usage: 88 MB
% 13.35/2.76 % (2497013)Instructions burned: 217 (million)
% 13.35/2.76 % (2497016)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3008226987:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 13.35/2.76 % (2497016)Instruction limit reached!
% 13.35/2.76 % (2497016)------------------------------
% 13.35/2.76 % (2497016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497016)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497016)Termination reason: Instruction limit
% 13.35/2.76 % (2497016)Termination phase: Saturation
% 13.35/2.76 % (2497016)Time elapsed: 0.104 s
% 13.35/2.76 % (2497016)Peak memory usage: 94 MB
% 13.35/2.76 % (2497016)Instructions burned: 319 (million)
% 13.35/2.76 % (2497018)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3282384993:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 13.35/2.76 % (2497020)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=654205301:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 13.35/2.76 % (2497012)First to succeed.
% 13.35/2.76 % (2497012)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2496992"
% 13.35/2.76 % (2497011)Instruction limit reached!
% 13.35/2.76 % (2497011)------------------------------
% 13.35/2.76 % (2497011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497011)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497011)Termination reason: Instruction limit
% 13.35/2.76 % (2497011)Termination phase: Saturation
% 13.35/2.76 % (2497011)Time elapsed: 1.317 s
% 13.35/2.76 % (2497011)Peak memory usage: 142 MB
% 13.35/2.76 % (2497011)Instructions burned: 2052 (million)
% 13.35/2.76 % (2497020)Instruction limit reached!
% 13.35/2.76 % (2497020)------------------------------
% 13.35/2.76 % (2497020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.76 % (2497020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.76 % (2497020)CaDiCaL version: 2.1.3
% 13.35/2.76 % (2497020)Termination reason: Instruction limit
% 13.35/2.76 % (2497020)Termination phase: Saturation
% 13.35/2.76 % (2497020)Time elapsed: 0.911 s
% 13.35/2.76 % (2497020)Peak memory usage: 137 MB
% 13.35/2.76 % (2497020)Instructions burned: 2837 (million)
% 13.35/2.76 % (2497023)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4206791322:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 13.35/2.76 % (2497024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=694334079:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2982 on theBenchmark for (2982ds/11832Mi)
% 13.35/2.76 % (2497012)Refutation found. Thanks to Tanya!
% 13.35/2.76 % SZS status Unsatisfiable for theBenchmark
% 13.35/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 14.12/2.95 % (2497012)------------------------------
% 14.12/2.95 % (2497012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.12/2.95 % (2497012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.12/2.95 % (2497012)CaDiCaL version: 2.1.3
% 14.12/2.95 % (2497012)Termination reason: Refutation
% 14.12/2.95 % (2497012)Time elapsed: 1.230 s
% 14.12/2.95 % (2497012)Peak memory usage: 138 MB
% 14.12/2.95 % (2497012)Instructions burned: 1964 (million)
% 14.12/2.95 % (2497012)------------------------------
% 14.12/2.95 % (2497012)------------------------------
% 14.12/2.95 % (2496992)Success in time 1.916 s
% 14.12/2.95 % Vampire exiting
%------------------------------------------------------------------------------