%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT078-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:45:57 AM UTC 2026
% Result : Unsatisfiable 26.36s 4.68s
% Output : Refutation 27.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 80 ( 80 unt; 6 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(f(X0,f(X0,f(f(X2,X2),X1))),X1),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mol_27B2) ).
fof(f2,negated_conjecture,
f(a,f(f(b,c),f(b,c))) != f(c,f(f(b,a),f(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f3,definition,
sF0 = f(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
f(b,c) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = f(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
f(sF0,sF0) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = f(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
f(a,sF1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = f(b,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
f(b,a) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF4 = f(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f12,plain,
f(sF3,sF3) = sF4,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF5 = f(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f14,plain,
f(c,sF4) = sF5,
inference(reorient_equations,[],[f13]) ).
fof(f15,plain,
sF2 != sF5,
inference(definition_folding,[],[f2,f14,f12,f10,f10,f8,f6,f4,f4]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : f(f(X0,X3),f(X0,f(f(f(f(f(X1,X0),f(X0,X2)),f(f(f(X1,X0),f(X0,X2)),f(f(f(f(f(X1,f(X1,f(f(X2,X2),X0))),X0),X2),f(f(f(X1,f(X1,f(f(X2,X2),X0))),X0),X2)),X0))),X0),f(f(f(X1,f(X1,f(f(X2,X2),X0))),X0),X2)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : f(X0,X2) = f(X0,f(f(X0,X2),f(f(f(f(X1,X0),f(f(X1,X0),f(f(X3,X3),f(X0,X2)))),f(X0,X2)),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f108,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,f(f(f(X0,f(X0,f(f(X2,X2),X1))),X1),X2))) = X1,
inference(superposition,[],[f1,f18]) ).
fof(f113,plain,
! [X0,X1,X4,X5] : f(f(X0,X1),f(X0,f(f(f(f(X4,f(X0,X1)),f(f(X4,f(X0,X1)),f(f(X5,X5),X0))),X0),X5))) = X0,
inference(superposition,[],[f19,f18]) ).
fof(f146,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X0,f(f(f(X2,f(X2,f(f(X1,X1),X0))),X0),X1))) = X0,
inference(superposition,[],[f1,f108]) ).
fof(f723,plain,
! [X3,X0,X1,X4] : f(X1,X0) = f(X0,f(f(X1,X0),f(f(f(f(X3,X0),f(f(X3,X0),f(f(X4,X4),f(X1,X0)))),f(X1,X0)),X4))),
inference(superposition,[],[f113,f108]) ).
fof(f919,plain,
! [X2,X3,X0,X1] : f(f(X0,f(f(X1,X2),f(X2,X3))),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = X2,
inference(superposition,[],[f1,f723]) ).
fof(f1028,plain,
! [X2,X0,X1] : f(f(X1,X0),f(X0,X2)) = f(f(X1,X0),f(f(f(X1,X0),f(X0,X2)),X0)),
inference(superposition,[],[f19,f919]) ).
fof(f1116,plain,
! [X0,X1] : f(f(X1,X0),f(X0,X0)) = X0,
inference(superposition,[],[f1028,f108]) ).
fof(f1199,plain,
a = f(sF3,f(a,a)),
inference(superposition,[],[f1116,f10]) ).
fof(f1200,plain,
c = f(sF0,f(c,c)),
inference(superposition,[],[f1116,f4]) ).
fof(f1202,plain,
sF0 = f(sF1,sF1),
inference(superposition,[],[f1116,f6]) ).
fof(f1203,plain,
sF3 = f(sF4,sF4),
inference(superposition,[],[f1116,f12]) ).
fof(f1237,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f19,f1116]) ).
fof(f1245,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(superposition,[],[f113,f1116]) ).
fof(f1325,plain,
a = f(sF2,f(a,a)),
inference(superposition,[],[f1245,f8]) ).
fof(f1326,plain,
b = f(sF3,f(b,b)),
inference(superposition,[],[f1245,f10]) ).
fof(f1327,plain,
b = f(sF0,f(b,b)),
inference(superposition,[],[f1245,f4]) ).
fof(f1328,plain,
c = f(sF5,f(c,c)),
inference(superposition,[],[f1245,f14]) ).
fof(f1333,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X0,X0),X1),X0),
inference(superposition,[],[f1245,f1245]) ).
fof(f1458,plain,
! [X2,X3,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,X0)) = X0,
inference(superposition,[],[f1237,f1]) ).
fof(f1570,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[],[f1028,f1333]) ).
fof(f1590,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(X0,X0),X1))) = X0,
inference(superposition,[],[f146,f1333]) ).
fof(f1665,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(forward_demodulation,[],[f1570,f1245]) ).
fof(f1788,plain,
! [X0,X1] : f(f(X1,X1),f(X0,X1)) = X1,
inference(superposition,[],[f1665,f723]) ).
fof(f1931,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(X1,f(X0,X0))),
inference(superposition,[],[f1788,f1788]) ).
fof(f1955,plain,
sF1 = f(f(sF1,sF1),sF2),
inference(superposition,[],[f1788,f8]) ).
fof(f1958,plain,
sF4 = f(f(sF4,sF4),sF5),
inference(superposition,[],[f1788,f14]) ).
fof(f2102,plain,
sF4 = f(sF3,sF5),
inference(forward_demodulation,[],[f1958,f1203]) ).
fof(f2103,plain,
sF1 = f(sF0,sF2),
inference(forward_demodulation,[],[f1955,f1202]) ).
fof(f4549,plain,
! [X0,X1] : sF2 = f(f(f(sF1,f(sF2,X0)),X1),f(sF2,sF2)),
inference(superposition,[],[f1458,f2103]) ).
fof(f4580,plain,
! [X0] : sF2 = f(f(f(sF1,sF1),X0),f(sF2,sF2)),
inference(superposition,[],[f4549,f1931]) ).
fof(f4717,plain,
! [X0] : sF2 = f(f(sF0,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f4580,f1202]) ).
fof(f4722,plain,
sF2 = f(b,f(sF2,sF2)),
inference(superposition,[],[f4717,f1327]) ).
fof(f4887,plain,
b = f(f(b,b),sF2),
inference(superposition,[],[f1665,f4722]) ).
fof(f5006,plain,
! [X0,X1] : sF5 = f(f(f(sF4,f(sF5,X0)),X1),f(sF5,sF5)),
inference(superposition,[],[f1458,f2102]) ).
fof(f5037,plain,
! [X0] : sF5 = f(f(f(sF4,sF4),X0),f(sF5,sF5)),
inference(superposition,[],[f5006,f1931]) ).
fof(f5174,plain,
! [X0] : sF5 = f(f(sF3,X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f5037,f1203]) ).
fof(f5304,plain,
sF2 = f(c,f(sF2,sF2)),
inference(superposition,[],[f4717,f1200]) ).
fof(f5414,plain,
c = f(f(c,c),sF2),
inference(superposition,[],[f1665,f5304]) ).
fof(f5500,plain,
sF5 = f(b,f(sF5,sF5)),
inference(superposition,[],[f5174,f1326]) ).
fof(f5610,plain,
b = f(f(b,b),sF5),
inference(superposition,[],[f1665,f5500]) ).
fof(f5920,plain,
sF5 = f(a,f(sF5,sF5)),
inference(superposition,[],[f5174,f1199]) ).
fof(f6031,plain,
a = f(f(a,a),sF5),
inference(superposition,[],[f1665,f5920]) ).
fof(f6163,plain,
! [X0,X1] : sF5 = f(f(f(a,f(sF5,X0)),X1),f(sF5,sF5)),
inference(superposition,[],[f1458,f6031]) ).
fof(f6375,plain,
! [X0,X1] : sF2 = f(f(f(c,f(sF2,X0)),X1),f(sF2,sF2)),
inference(superposition,[],[f1458,f5414]) ).
fof(f6587,plain,
! [X0,X1] : sF5 = f(f(f(b,f(sF5,X0)),X1),f(sF5,sF5)),
inference(superposition,[],[f1458,f5610]) ).
fof(f6800,plain,
! [X0,X1] : sF2 = f(f(f(b,f(sF2,X0)),X1),f(sF2,sF2)),
inference(superposition,[],[f1458,f4887]) ).
fof(f7249,plain,
! [X0] : sF5 = f(f(f(b,c),X0),f(sF5,sF5)),
inference(superposition,[],[f6587,f1328]) ).
fof(f7314,plain,
! [X0] : sF5 = f(f(sF0,X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f7249,f4]) ).
fof(f7346,plain,
f(sF0,sF0) = f(sF5,sF0),
inference(superposition,[],[f1333,f7314]) ).
fof(f7437,plain,
sF1 = f(sF5,sF0),
inference(forward_demodulation,[],[f7346,f6]) ).
fof(f7444,plain,
! [X0] : sF5 = f(f(f(a,sF1),X0),f(sF5,sF5)),
inference(superposition,[],[f6163,f7437]) ).
fof(f7513,plain,
! [X0] : sF5 = f(f(sF2,X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f7444,f8]) ).
fof(f7548,plain,
f(sF2,sF2) = f(sF5,sF2),
inference(superposition,[],[f1333,f7513]) ).
fof(f8202,plain,
! [X0] : sF2 = f(f(f(b,a),X0),f(sF2,sF2)),
inference(superposition,[],[f6800,f1325]) ).
fof(f8269,plain,
! [X0] : sF2 = f(f(sF3,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f8202,f10]) ).
fof(f8301,plain,
f(sF3,sF3) = f(sF2,sF3),
inference(superposition,[],[f1333,f8269]) ).
fof(f8394,plain,
sF4 = f(sF2,sF3),
inference(forward_demodulation,[],[f8301,f12]) ).
fof(f8402,plain,
! [X0] : sF2 = f(f(f(c,sF4),X0),f(sF2,sF2)),
inference(superposition,[],[f6375,f8394]) ).
fof(f8471,plain,
! [X0] : sF2 = f(f(sF5,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f8402,f14]) ).
fof(f8510,plain,
sF5 = f(f(sF5,f(sF2,sF2)),f(sF5,sF2)),
inference(superposition,[],[f1590,f8471]) ).
fof(f8600,plain,
sF5 = f(f(sF5,f(sF2,sF2)),f(sF2,sF2)),
inference(forward_demodulation,[],[f8510,f7548]) ).
fof(f8608,plain,
sF2 = sF5,
inference(forward_demodulation,[],[f8600,f8471]) ).
fof(f8610,plain,
$false,
inference(forward_subsumption_resolution,[],[f8608,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT078-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.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 13:59:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 26.36/4.68 % (251748)Detected a unit-equality problem, will run specialized UEQ schedule.
% 26.36/4.68 % (251756)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=233310455:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 26.36/4.68 % (251759)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4232716287:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 26.36/4.68 % (251753)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=449027050:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 26.36/4.68 % (251754)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=2173634943:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 26.36/4.68 % (251755)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2657527875:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 26.36/4.68 % (251757)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2674350375:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 26.36/4.68 % (251758)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1211333109:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 26.36/4.68 % (251756)Instruction limit reached!
% 26.36/4.68 % (251756)------------------------------
% 26.36/4.68 % (251756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251756)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251756)Termination reason: Instruction limit
% 26.36/4.68 % (251756)Termination phase: Saturation
% 26.36/4.68 % (251756)Time elapsed: 0.042 s
% 26.36/4.68 % (251756)Peak memory usage: 90 MB
% 26.36/4.68 % (251756)Instructions burned: 138 (million)
% 26.36/4.68 % (251757)Instruction limit reached!
% 26.36/4.68 % (251757)------------------------------
% 26.36/4.68 % (251757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251757)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251757)Termination reason: Instruction limit
% 26.36/4.68 % (251757)Termination phase: Saturation
% 26.36/4.68 % (251757)Time elapsed: 0.097 s
% 26.36/4.68 % (251757)Peak memory usage: 89 MB
% 26.36/4.68 % (251757)Instructions burned: 181 (million)
% 26.36/4.68 % (251767)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4176866843:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 26.36/4.68 % (251758)Instruction limit reached!
% 26.36/4.68 % (251758)------------------------------
% 26.36/4.68 % (251758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251758)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251758)Termination reason: Instruction limit
% 26.36/4.68 % (251758)Termination phase: Saturation
% 26.36/4.68 % (251758)Time elapsed: 0.147 s
% 26.36/4.68 % (251758)Peak memory usage: 92 MB
% 26.36/4.68 % (251758)Instructions burned: 257 (million)
% 26.36/4.68 % (251768)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2340129748:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 26.36/4.68 % (251770)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2507503020:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 26.36/4.68 % (251770)Instruction limit reached!
% 26.36/4.68 % (251770)------------------------------
% 26.36/4.68 % (251770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251770)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251770)Termination reason: Instruction limit
% 26.36/4.68 % (251770)Termination phase: Saturation
% 26.36/4.68 % (251770)Time elapsed: 0.098 s
% 26.36/4.68 % (251770)Peak memory usage: 100 MB
% 26.36/4.68 % (251770)Instructions burned: 216 (million)
% 26.36/4.68 % (251773)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=3711342796:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 26.36/4.68 % (251759)Instruction limit reached!
% 26.36/4.68 % (251759)------------------------------
% 26.36/4.68 % (251759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251759)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251759)Termination reason: Instruction limit
% 26.36/4.68 % (251759)Termination phase: Saturation
% 26.36/4.68 % (251759)Time elapsed: 0.631 s
% 26.36/4.68 % (251759)Peak memory usage: 95 MB
% 26.36/4.68 % (251759)Instructions burned: 1189 (million)
% 26.36/4.68 % (251773)Instruction limit reached!
% 26.36/4.68 % (251773)------------------------------
% 26.36/4.68 % (251773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251773)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251773)Termination reason: Instruction limit
% 26.36/4.68 % (251773)Termination phase: Saturation
% 26.36/4.68 % (251773)Time elapsed: 0.096 s
% 26.36/4.68 % (251773)Peak memory usage: 94 MB
% 26.36/4.68 % (251773)Instructions burned: 318 (million)
% 26.36/4.68 % (251776)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1495065445:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 26.36/4.68 % (251775)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=3888678368:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 26.36/4.68 % (251767)Instruction limit reached!
% 26.36/4.68 % (251767)------------------------------
% 26.36/4.68 % (251767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251767)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251767)Termination reason: Instruction limit
% 26.36/4.68 % (251767)Termination phase: Saturation
% 26.36/4.68 % (251767)Time elapsed: 1.008 s
% 26.36/4.68 % (251767)Peak memory usage: 139 MB
% 26.36/4.68 % (251767)Instructions burned: 2051 (million)
% 26.36/4.68 % (251779)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1332848641:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2986 on theBenchmark for (2986ds/14534Mi)
% 26.36/4.68 % (251776)Instruction limit reached!
% 26.36/4.68 % (251776)------------------------------
% 26.36/4.68 % (251776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251776)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251776)Termination reason: Instruction limit
% 26.36/4.68 % (251776)Termination phase: Saturation
% 26.36/4.68 % (251776)Time elapsed: 0.881 s
% 26.36/4.68 % (251776)Peak memory usage: 138 MB
% 26.36/4.68 % (251776)Instructions burned: 2836 (million)
% 26.36/4.68 % (251781)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=44491657:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2981 on theBenchmark for (2981ds/11832Mi)
% 26.36/4.68 % (251768)Instruction limit reached!
% 26.36/4.68 % (251768)------------------------------
% 26.36/4.68 % (251768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.36/4.68 % (251768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.68 % (251768)CaDiCaL version: 2.1.3
% 26.36/4.68 % (251768)Termination reason: Instruction limit
% 26.36/4.68 % (251768)Termination phase: Saturation
% 26.36/4.68 % (251768)Time elapsed: 2.738 s
% 26.36/4.68 % (251768)Peak memory usage: 180 MB
% 26.36/4.68 % (251768)Instructions burned: 4948 (million)
% 26.36/4.68 % (251783)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3873588031:i=2279:fgj=on:bd=all_2968 on theBenchmark for (2968ds/2279Mi)
% 26.36/4.68 % (251775)First to succeed.
% 26.36/4.68 % (251775)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-251748"
% 26.36/4.68 % (251775)Refutation found. Thanks to Tanya!
% 26.36/4.68 % SZS status Unsatisfiable for theBenchmark
% 27.53/4.78 % SZS output start Proof for theBenchmark
% See solution above
% 27.53/4.78 % (251775)------------------------------
% 27.53/4.78 % (251775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.53/4.78 % (251775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.53/4.78 % (251775)CaDiCaL version: 2.1.3
% 27.53/4.78 % (251775)Termination reason: Refutation
% 27.53/4.78 % (251775)Time elapsed: 2.584 s
% 27.53/4.78 % (251775)Peak memory usage: 167 MB
% 27.53/4.78 % (251775)Instructions burned: 4422 (million)
% 27.53/4.78 % (251775)------------------------------
% 27.53/4.78 % (251775)------------------------------
% 27.53/4.78 % (251748)Success in time 3.818 s
% 27.53/4.78 % Vampire exiting
%------------------------------------------------------------------------------