%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL416-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:52:20 AM UTC 2026
% Result : Unsatisfiable 7.06s 3.92s
% Output : Refutation 21.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 4
% Syntax : Number of formulae : 58 ( 58 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 265 ( 265 !; 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(equivalent(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(equivalent(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xcb) ).
fof(f5,plain,
! [X2,X0,X1] : true = is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
is_a_theorem(equivalent(a,a)) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f7,plain,
true != is_a_theorem(equivalent(a,a)),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),true),true),
inference(superposition,[],[f3,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true),
inference(superposition,[],[f3,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3)),true,is_a_theorem(X3),true),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f12,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),true),
inference(forward_demodulation,[],[f8,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3)),X4)),true),
inference(superposition,[],[f11,f5]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3)),X4)),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),X4),equivalent(X3,X4))),true),
inference(superposition,[],[f11,f16]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3))),true,is_a_theorem(X4),true),true),
inference(superposition,[],[f3,f16]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3)),X4),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true),
inference(superposition,[],[f3,f16]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3)),X4),X5)),true,is_a_theorem(X5),true),
inference(forward_demodulation,[],[f21,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3))),true,is_a_theorem(X4),true),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),X4),equivalent(X3,X4))),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),X4)),true,is_a_theorem(equivalent(X3,X4)),true),true),
inference(superposition,[],[f3,f24]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),X4)),true,is_a_theorem(equivalent(X3,X4)),true),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3)),X4)),X5)),true),
inference(superposition,[],[f22,f24]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(X5,equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(X4,X3)),X4)),X5)),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4)),X5),equivalent(X6,X5)),X6)),X1),X7),equivalent(X0,X7)),X0)),true),
inference(superposition,[],[f12,f51]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4)),X5),equivalent(X6,X5)),X6)),X1),X7),equivalent(X0,X7)),X0)),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4)),X5)),X0),X6),X7),equivalent(X6,X7))),true),
inference(superposition,[],[f11,f72]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4)),X5)),X0),X6),X7),equivalent(X6,X7))),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f133,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))),X3)),true),
inference(superposition,[],[f22,f131]) ).
fof(f151,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(X3,equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))),X3)),
inference(forward_demodulation,[],[f133,f1]) ).
fof(f158,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)))),true,is_a_theorem(X0),true),true),
inference(superposition,[],[f3,f151]) ).
fof(f169,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)))),true,is_a_theorem(X0),true),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),X5))),true),
inference(superposition,[],[f169,f24]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)),X3),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),X5))),
inference(forward_demodulation,[],[f175,f1]) ).
fof(f343,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),true),
inference(superposition,[],[f23,f198]) ).
fof(f365,plain,
! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f373,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X0,X3)),X0)),true),
inference(superposition,[],[f12,f365]) ).
fof(f380,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X0,X3)),X0)),
inference(forward_demodulation,[],[f373,f1]) ).
fof(f439,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X3),equivalent(X2,X3))),true),
inference(superposition,[],[f11,f380]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4)),X0)),true),
inference(superposition,[],[f42,f380]) ).
fof(f464,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4)),X0)),
inference(forward_demodulation,[],[f440,f1]) ).
fof(f465,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X3),equivalent(X2,X3))),
inference(forward_demodulation,[],[f439,f1]) ).
fof(f477,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X3)),true,is_a_theorem(equivalent(X2,X3)),true),true),
inference(superposition,[],[f3,f465]) ).
fof(f482,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X4),equivalent(X3,X4)),X5),equivalent(X0,X5)),X0)),true),
inference(superposition,[],[f12,f465]) ).
fof(f490,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X4),equivalent(X3,X4)),X5),equivalent(X0,X5)),X0)),
inference(forward_demodulation,[],[f482,f1]) ).
fof(f493,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X3)),true,is_a_theorem(equivalent(X2,X3)),true),
inference(forward_demodulation,[],[f477,f1]) ).
fof(f562,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X3)),X4),equivalent(X5,X4)),X5)),X1),X6),equivalent(X0,X6)),X0)),true),
inference(superposition,[],[f12,f464]) ).
fof(f570,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X3)),X4),equivalent(X5,X4)),X5)),X1),X6),equivalent(X0,X6)),X0)),
inference(forward_demodulation,[],[f562,f1]) ).
fof(f1324,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4)),X0),X5),X6),equivalent(X5,X6))),true),
inference(superposition,[],[f11,f570]) ).
fof(f1359,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4)),X0),X5),X6),equivalent(X5,X6))),
inference(forward_demodulation,[],[f1324,f1]) ).
fof(f1376,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4)),X0),X5),X6)),true,is_a_theorem(equivalent(X5,X6)),true),true),
inference(superposition,[],[f3,f1359]) ).
fof(f1396,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4)),X0),X5),X6)),true,is_a_theorem(equivalent(X5,X6)),true),
inference(forward_demodulation,[],[f1376,f1]) ).
fof(f1472,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X5),equivalent(X6,X5))),X6)),X0)),true),
inference(superposition,[],[f1396,f490]) ).
fof(f1539,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X5),equivalent(X6,X5))),X6)),X0)),
inference(forward_demodulation,[],[f1472,f1]) ).
fof(f1567,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X2)),true),
inference(superposition,[],[f23,f1539]) ).
fof(f1605,plain,
! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X2)),
inference(forward_demodulation,[],[f1567,f1]) ).
fof(f1616,plain,
! [X1] : true = ifeq(true,true,is_a_theorem(equivalent(X1,X1)),true),
inference(superposition,[],[f493,f1605]) ).
fof(f1638,plain,
! [X1] : true = is_a_theorem(equivalent(X1,X1)),
inference(forward_demodulation,[],[f1616,f1]) ).
fof(f1641,plain,
$false,
inference(backward_subsumption_resolution,[],[f7,f1638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL416-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n015.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 15:44:01 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 7.06/3.92 % (1806721)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.06/3.92 % (1806726)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=4187404402:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.06/3.92 % (1806732)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2179827709:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.06/3.92 % (1806729)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1666788092:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.06/3.92 % (1806731)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4192954924:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.06/3.92 % (1806727)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=3429361246:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.06/3.92 % (1806728)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1672028699:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.06/3.92 % (1806730)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3975136538:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.06/3.92 % (1806729)Instruction limit reached!
% 7.06/3.92 % (1806729)------------------------------
% 7.06/3.92 % (1806729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/3.92 % (1806729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/3.92 % (1806729)CaDiCaL version: 2.1.3
% 7.06/3.92 % (1806729)Termination reason: Instruction limit
% 7.06/3.92 % (1806729)Termination phase: Saturation
% 7.06/3.92 % (1806729)Time elapsed: 0.125 s
% 7.06/3.92 % (1806729)Peak memory usage: 88 MB
% 7.06/3.92 % (1806729)Instructions burned: 136 (million)
% 7.06/3.92 % (1806730)Instruction limit reached!
% 7.06/3.92 % (1806730)------------------------------
% 7.06/3.92 % (1806730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/3.92 % (1806730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/3.92 % (1806730)CaDiCaL version: 2.1.3
% 7.06/3.92 % (1806730)Termination reason: Instruction limit
% 7.06/3.92 % (1806730)Termination phase: Saturation
% 7.06/3.92 % (1806730)Time elapsed: 0.168 s
% 7.06/3.92 % (1806730)Peak memory usage: 89 MB
% 7.06/3.92 % (1806730)Instructions burned: 181 (million)
% 7.06/3.92 % (1806731)Instruction limit reached!
% 7.06/3.92 % (1806731)------------------------------
% 7.06/3.92 % (1806731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/3.92 % (1806731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/3.92 % (1806731)CaDiCaL version: 2.1.3
% 7.06/3.92 % (1806731)Termination reason: Instruction limit
% 7.06/3.92 % (1806731)Termination phase: Saturation
% 7.06/3.92 % (1806731)Time elapsed: 0.240 s
% 7.06/3.92 % (1806731)Peak memory usage: 90 MB
% 7.06/3.92 % (1806731)Instructions burned: 257 (million)
% 7.06/3.92 % (1806740)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=991957454:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 7.06/3.92 % (1806741)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3277893062:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 7.06/3.92 % (1806742)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=308029586:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 7.06/3.92 % (1806742)Instruction limit reached!
% 7.06/3.92 % (1806742)------------------------------
% 7.06/3.92 % (1806742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/3.92 % (1806742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/3.92 % (1806742)CaDiCaL version: 2.1.3
% 7.06/3.92 % (1806742)Termination reason: Instruction limit
% 7.06/3.92 % (1806742)Termination phase: Saturation
% 7.06/3.92 % (1806742)Time elapsed: 0.189 s
% 7.06/3.92 % (1806742)Peak memory usage: 88 MB
% 7.06/3.92 % (1806742)Instructions burned: 216 (million)
% 7.06/3.92 % (1806746)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=3427275143:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 7.06/3.92 % (1806732)Instruction limit reached!
% 7.06/3.92 % (1806732)------------------------------
% 7.06/3.92 % (1806732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/3.92 % (1806732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/3.92 % (1806732)CaDiCaL version: 2.1.3
% 7.06/3.92 % (1806732)Termination reason: Instruction limit
% 7.06/3.92 % (1806732)Termination phase: Saturation
% 7.06/3.92 % (1806732)Time elapsed: 1.035 s
% 7.06/3.92 % (1806732)Peak memory usage: 95 MB
% 7.06/3.92 % (1806732)Instructions burned: 1188 (million)
% 7.06/3.92 % (1806746)Instruction limit reached!
% 7.06/3.92 % (1806746)------------------------------
% 7.06/3.92 % (1806746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/3.92 % (1806746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/3.92 % (1806746)CaDiCaL version: 2.1.3
% 7.06/3.92 % (1806746)Termination reason: Instruction limit
% 7.06/3.92 % (1806746)Termination phase: Saturation
% 7.06/3.92 % (1806746)Time elapsed: 0.309 s
% 7.06/3.92 % (1806746)Peak memory usage: 92 MB
% 7.06/3.92 % (1806746)Instructions burned: 317 (million)
% 7.06/3.92 % (1806748)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=2206387275:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 7.06/3.92 % (1806750)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=625813560:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 7.06/3.92 % (1806740)First to succeed.
% 7.06/3.92 % (1806740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1806721"
% 7.06/3.92 % (1806740)Refutation found. Thanks to Tanya!
% 7.06/3.92 % SZS status Unsatisfiable for theBenchmark
% 7.06/3.92 % SZS output start Proof for theBenchmark
% See solution above
% 21.90/4.18 % (1806740)------------------------------
% 21.90/4.18 % (1806740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/4.18 % (1806740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/4.18 % (1806740)CaDiCaL version: 2.1.3
% 21.90/4.18 % (1806740)Termination reason: Refutation
% 21.90/4.18 % (1806740)Time elapsed: 1.850 s
% 21.90/4.18 % (1806740)Peak memory usage: 136 MB
% 21.90/4.18 % (1806740)Instructions burned: 1740 (million)
% 21.90/4.18 % (1806740)------------------------------
% 21.90/4.18 % (1806740)------------------------------
% 21.90/4.18 % (1806721)Success in time 2.977 s
% 21.90/4.18 % Vampire exiting
%------------------------------------------------------------------------------