%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT152-1 : TPTP v9.3.1. Released v3.1.0.
% 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 11:46:05 AM UTC 2026
% Result : Unsatisfiable 5.07s 2.20s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of formulae : 112 ( 112 unt; 7 def)
% Number of atoms : 112 ( 111 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H40) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = join(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = join(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
join(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(a,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF6,
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12,f16,f14,f12]) ).
fof(f26,plain,
sF1 = join(sF0,b),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f27,plain,
sF2 = meet(sF1,a),
inference(forward_demodulation,[],[f16,f5]) ).
fof(f28,plain,
sF4 = meet(sF3,c),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f29,plain,
sF5 = join(sF4,sF2),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f30,plain,
sF6 = meet(sF5,a),
inference(forward_demodulation,[],[f24,f5]) ).
fof(f32,plain,
sF0 = meet(sF0,sF1),
inference(superposition,[],[f3,f26]) ).
fof(f33,plain,
a = meet(a,sF3),
inference(superposition,[],[f3,f18]) ).
fof(f34,plain,
a = meet(sF3,a),
inference(forward_demodulation,[],[f33,f5]) ).
fof(f38,plain,
sF3 = join(sF3,sF4),
inference(superposition,[],[f4,f28]) ).
fof(f43,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f45,plain,
! [X0,X1] : meet(a,join(b,meet(X0,join(a,X1)))) = meet(a,join(b,meet(X0,join(X1,meet(X0,sF3))))),
inference(superposition,[],[f9,f18]) ).
fof(f53,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,X0)))) = meet(X1,join(X2,X0)),
inference(superposition,[],[f9,f3]) ).
fof(f109,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f112,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(meet(X0,join(X1,X0)),X2)),
inference(superposition,[],[f53,f6]) ).
fof(f116,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X0,X2)),
inference(backward_demodulation,[],[f112,f109]) ).
fof(f128,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f109,f4]) ).
fof(f133,plain,
sF2 = meet(sF2,sF5),
inference(superposition,[],[f109,f29]) ).
fof(f137,plain,
sF2 = meet(sF5,sF2),
inference(forward_demodulation,[],[f133,f5]) ).
fof(f140,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f128,f5]) ).
fof(f150,plain,
! [X0] : meet(a,meet(c,X0)) = meet(sF0,X0),
inference(superposition,[],[f7,f12]) ).
fof(f151,plain,
! [X0] : meet(sF1,meet(a,X0)) = meet(sF2,X0),
inference(superposition,[],[f7,f27]) ).
fof(f153,plain,
! [X0] : meet(sF5,meet(a,X0)) = meet(sF6,X0),
inference(superposition,[],[f7,f30]) ).
fof(f165,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f214,plain,
! [X0] : join(a,join(b,X0)) = join(sF3,X0),
inference(superposition,[],[f8,f18]) ).
fof(f216,plain,
! [X0] : join(sF4,join(sF2,X0)) = join(sF5,X0),
inference(superposition,[],[f8,f29]) ).
fof(f251,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f109,f43]) ).
fof(f253,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f251,f5]) ).
fof(f304,plain,
! [X0] : meet(sF0,X0) = meet(a,meet(X0,c)),
inference(superposition,[],[f150,f5]) ).
fof(f432,plain,
meet(sF2,c) = meet(sF1,sF0),
inference(superposition,[],[f151,f12]) ).
fof(f433,plain,
! [X0] : meet(sF2,meet(c,X0)) = meet(sF1,meet(sF0,X0)),
inference(superposition,[],[f151,f150]) ).
fof(f441,plain,
! [X0] : meet(sF2,X0) = meet(sF1,meet(X0,a)),
inference(superposition,[],[f151,f5]) ).
fof(f454,plain,
! [X0] : meet(sF2,meet(c,X0)) = meet(sF0,meet(X0,sF1)),
inference(forward_demodulation,[],[f433,f165]) ).
fof(f455,plain,
meet(sF0,sF1) = meet(sF2,c),
inference(forward_demodulation,[],[f432,f5]) ).
fof(f457,plain,
sF0 = meet(sF2,c),
inference(forward_demodulation,[],[f455,f32]) ).
fof(f461,plain,
! [X0] : join(sF3,X0) = join(a,join(X0,b)),
inference(superposition,[],[f214,f6]) ).
fof(f522,plain,
! [X0] : meet(sF0,X0) = meet(sF2,meet(c,X0)),
inference(superposition,[],[f7,f457]) ).
fof(f523,plain,
sF2 = join(sF2,sF0),
inference(superposition,[],[f4,f457]) ).
fof(f524,plain,
sF2 = join(sF0,sF2),
inference(forward_demodulation,[],[f523,f6]) ).
fof(f525,plain,
! [X0] : meet(sF0,X0) = meet(sF0,meet(X0,sF1)),
inference(backward_demodulation,[],[f454,f522]) ).
fof(f527,plain,
sF0 = meet(sF0,sF2),
inference(superposition,[],[f3,f524]) ).
fof(f912,plain,
! [X0] : join(sF5,X0) = join(sF4,join(X0,sF2)),
inference(superposition,[],[f216,f6]) ).
fof(f1429,plain,
meet(sF0,sF3) = meet(a,sF4),
inference(superposition,[],[f304,f28]) ).
fof(f1453,plain,
meet(sF0,sF3) = meet(sF4,a),
inference(forward_demodulation,[],[f1429,f5]) ).
fof(f1693,plain,
meet(sF1,a) = meet(sF2,sF3),
inference(superposition,[],[f441,f34]) ).
fof(f1694,plain,
meet(sF2,sF4) = meet(sF1,meet(sF0,sF3)),
inference(superposition,[],[f441,f1453]) ).
fof(f1720,plain,
meet(sF2,sF4) = meet(sF0,meet(sF3,sF1)),
inference(forward_demodulation,[],[f1694,f165]) ).
fof(f1721,plain,
meet(sF1,a) = meet(sF3,sF2),
inference(forward_demodulation,[],[f1693,f5]) ).
fof(f1730,plain,
meet(sF0,sF3) = meet(sF2,sF4),
inference(forward_demodulation,[],[f1720,f525]) ).
fof(f1731,plain,
sF2 = meet(sF3,sF2),
inference(forward_demodulation,[],[f1721,f27]) ).
fof(f1736,plain,
meet(sF0,sF3) = meet(sF4,sF2),
inference(forward_demodulation,[],[f1730,f5]) ).
fof(f1796,plain,
sF4 = meet(sF4,sF3),
inference(superposition,[],[f109,f38]) ).
fof(f1804,plain,
sF4 = meet(sF3,sF4),
inference(forward_demodulation,[],[f1796,f5]) ).
fof(f2275,plain,
meet(sF0,sF3) = meet(sF2,meet(sF0,sF3)),
inference(superposition,[],[f253,f1736]) ).
fof(f2276,plain,
meet(sF0,sF3) = meet(sF3,meet(sF2,sF0)),
inference(forward_demodulation,[],[f2275,f165]) ).
fof(f2281,plain,
meet(sF0,sF3) = meet(sF0,meet(sF3,sF2)),
inference(forward_demodulation,[],[f2276,f165]) ).
fof(f2284,plain,
meet(sF0,sF2) = meet(sF0,sF3),
inference(forward_demodulation,[],[f2281,f1731]) ).
fof(f2286,plain,
sF0 = meet(sF0,sF3),
inference(forward_demodulation,[],[f2284,f527]) ).
fof(f2287,plain,
sF0 = meet(sF4,a),
inference(backward_demodulation,[],[f1453,f2286]) ).
fof(f2395,plain,
! [X0] : meet(a,join(b,meet(X0,join(a,meet(X0,sF3))))) = meet(a,join(b,meet(X0,meet(X0,sF3)))),
inference(superposition,[],[f45,f2]) ).
fof(f2437,plain,
! [X0] : meet(a,join(b,meet(X0,sF3))) = meet(a,join(b,meet(X0,join(a,meet(X0,sF3))))),
inference(forward_demodulation,[],[f2395,f140]) ).
fof(f2450,plain,
! [X0] : meet(a,join(b,meet(X0,sF3))) = meet(a,join(b,meet(X0,join(a,a)))),
inference(forward_demodulation,[],[f2437,f45]) ).
fof(f2457,plain,
! [X0] : meet(a,join(b,meet(X0,sF3))) = meet(a,join(b,meet(X0,a))),
inference(forward_demodulation,[],[f2450,f2]) ).
fof(f2480,plain,
meet(a,join(b,sF0)) = meet(a,join(b,meet(sF4,sF3))),
inference(superposition,[],[f2457,f2287]) ).
fof(f2481,plain,
meet(a,join(b,meet(sF5,sF3))) = meet(a,join(b,sF6)),
inference(superposition,[],[f2457,f30]) ).
fof(f2507,plain,
meet(a,join(b,sF6)) = meet(a,join(b,meet(sF3,sF5))),
inference(forward_demodulation,[],[f2481,f5]) ).
fof(f2508,plain,
meet(a,join(b,sF0)) = meet(a,join(b,meet(sF3,sF4))),
inference(forward_demodulation,[],[f2480,f5]) ).
fof(f2518,plain,
meet(a,join(b,sF0)) = meet(a,join(b,sF4)),
inference(forward_demodulation,[],[f2508,f1804]) ).
fof(f2523,plain,
meet(a,join(b,sF0)) = meet(a,join(sF4,b)),
inference(forward_demodulation,[],[f2518,f116]) ).
fof(f2527,plain,
meet(a,join(sF0,b)) = meet(a,join(sF4,b)),
inference(forward_demodulation,[],[f2523,f116]) ).
fof(f2530,plain,
meet(a,sF1) = meet(a,join(sF4,b)),
inference(forward_demodulation,[],[f2527,f26]) ).
fof(f2531,plain,
meet(sF1,a) = meet(a,join(sF4,b)),
inference(forward_demodulation,[],[f2530,f5]) ).
fof(f2532,plain,
sF2 = meet(a,join(sF4,b)),
inference(forward_demodulation,[],[f2531,f27]) ).
fof(f2540,plain,
join(sF4,b) = join(join(sF4,b),sF2),
inference(superposition,[],[f43,f2532]) ).
fof(f2550,plain,
join(sF4,b) = join(sF4,join(b,sF2)),
inference(forward_demodulation,[],[f2540,f8]) ).
fof(f2553,plain,
join(sF4,b) = join(sF5,b),
inference(forward_demodulation,[],[f2550,f912]) ).
fof(f2554,plain,
join(sF3,sF5) = join(a,join(sF4,b)),
inference(superposition,[],[f461,f2553]) ).
fof(f2568,plain,
join(sF3,sF4) = join(sF3,sF5),
inference(forward_demodulation,[],[f2554,f461]) ).
fof(f2569,plain,
sF3 = join(sF3,sF5),
inference(forward_demodulation,[],[f2568,f38]) ).
fof(f2575,plain,
sF5 = meet(sF5,sF3),
inference(superposition,[],[f109,f2569]) ).
fof(f2583,plain,
sF5 = meet(sF3,sF5),
inference(forward_demodulation,[],[f2575,f5]) ).
fof(f2584,plain,
meet(a,join(b,sF6)) = meet(a,join(b,sF5)),
inference(backward_demodulation,[],[f2507,f2583]) ).
fof(f2585,plain,
meet(a,join(b,sF6)) = meet(a,join(sF5,b)),
inference(forward_demodulation,[],[f2584,f116]) ).
fof(f2586,plain,
meet(a,join(b,sF6)) = meet(a,join(sF4,b)),
inference(forward_demodulation,[],[f2585,f2553]) ).
fof(f2587,plain,
sF2 = meet(a,join(b,sF6)),
inference(forward_demodulation,[],[f2586,f2532]) ).
fof(f2588,plain,
meet(sF5,sF2) = meet(sF6,join(b,sF6)),
inference(superposition,[],[f153,f2587]) ).
fof(f2607,plain,
sF6 = meet(sF5,sF2),
inference(forward_demodulation,[],[f2588,f109]) ).
fof(f2609,plain,
sF2 = sF6,
inference(forward_demodulation,[],[f2607,f137]) ).
fof(f2610,plain,
$false,
inference(forward_subsumption_resolution,[],[f2609,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT152-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 14:05:56 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 5.07/2.20 % (2874166)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.07/2.20 % (2874176)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=697086604:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.07/2.20 % (2874171)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=180855357:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.07/2.20 % (2874174)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=801179415:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.07/2.20 % (2874177)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2205478745:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.07/2.20 % (2874172)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=1452136448:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.07/2.20 % (2874173)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4106701802:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.07/2.20 % (2874175)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2139906137:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.07/2.20 % (2874175)Refutation not found, incomplete strategy
% 5.07/2.20 % (2874175)------------------------------
% 5.07/2.20 % (2874175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874175)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874175)Termination reason: Refutation not found, incomplete strategy
% 5.07/2.20 % (2874175)Time elapsed: 0.001 s
% 5.07/2.20 % (2874175)Peak memory usage: 87 MB
% 5.07/2.20 % (2874175)Instructions burned: 1 (million)
% 5.07/2.20 % (2874176)Instruction limit reached!
% 5.07/2.20 % (2874176)------------------------------
% 5.07/2.20 % (2874176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874176)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874176)Termination reason: Instruction limit
% 5.07/2.20 % (2874176)Termination phase: Saturation
% 5.07/2.20 % (2874176)Time elapsed: 0.085 s
% 5.07/2.20 % (2874176)Peak memory usage: 90 MB
% 5.07/2.20 % (2874176)Instructions burned: 258 (million)
% 5.07/2.20 % (2874174)Instruction limit reached!
% 5.07/2.20 % (2874174)------------------------------
% 5.07/2.20 % (2874174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874174)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874174)Termination reason: Instruction limit
% 5.07/2.20 % (2874174)Termination phase: Saturation
% 5.07/2.20 % (2874174)Time elapsed: 0.082 s
% 5.07/2.20 % (2874174)Peak memory usage: 88 MB
% 5.07/2.20 % (2874174)Instructions burned: 136 (million)
% 5.07/2.20 % (2874185)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2600632329:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.07/2.20 % (2874175)------------------------------
% 5.07/2.20 % (2874175)------------------------------
% 5.07/2.20 % (2874186)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4228239599:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.07/2.20 % (2874189)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=633150149:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 5.07/2.20 % (2874189)Instruction limit reached!
% 5.07/2.20 % (2874189)------------------------------
% 5.07/2.20 % (2874189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874189)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874189)Termination reason: Instruction limit
% 5.07/2.20 % (2874189)Termination phase: Saturation
% 5.07/2.20 % (2874189)Time elapsed: 0.102 s
% 5.07/2.20 % (2874189)Peak memory usage: 89 MB
% 5.07/2.20 % (2874189)Instructions burned: 216 (million)
% 5.07/2.20 % (2874177)Instruction limit reached!
% 5.07/2.20 % (2874177)------------------------------
% 5.07/2.20 % (2874177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874177)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874177)Termination reason: Instruction limit
% 5.07/2.20 % (2874177)Termination phase: Saturation
% 5.07/2.20 % (2874177)Time elapsed: 0.612 s
% 5.07/2.20 % (2874177)Peak memory usage: 97 MB
% 5.07/2.20 % (2874177)Instructions burned: 1188 (million)
% 5.07/2.20 % (2874191)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=1629549629:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 5.07/2.20 % (2874192)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=1517494613:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.07/2.20 % (2874191)Instruction limit reached!
% 5.07/2.20 % (2874191)------------------------------
% 5.07/2.20 % (2874191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874191)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874191)Termination reason: Instruction limit
% 5.07/2.20 % (2874191)Termination phase: Saturation
% 5.07/2.20 % (2874191)Time elapsed: 0.190 s
% 5.07/2.20 % (2874191)Peak memory usage: 93 MB
% 5.07/2.20 % (2874191)Instructions burned: 317 (million)
% 5.07/2.20 % (2874185)Instruction limit reached!
% 5.07/2.20 % (2874185)------------------------------
% 5.07/2.20 % (2874185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/2.20 % (2874185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/2.20 % (2874185)CaDiCaL version: 2.1.3
% 5.07/2.20 % (2874185)Termination reason: Instruction limit
% 5.07/2.20 % (2874185)Termination phase: Saturation
% 5.07/2.20 % (2874185)Time elapsed: 0.711 s
% 5.07/2.20 % (2874185)Peak memory usage: 142 MB
% 5.07/2.20 % (2874185)Instructions burned: 2053 (million)
% 5.07/2.20 % (2874173)First to succeed.
% 5.07/2.20 % (2874173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2874166"
% 5.07/2.20 % (2874196)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2564553020:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 5.07/2.20 % (2874195)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3829935374:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 5.07/2.20 % (2874171)Also succeeded, but the first one will report.
% 5.07/2.20 % (2874173)Refutation found. Thanks to Tanya!
% 5.07/2.20 % SZS status Unsatisfiable for theBenchmark
% 5.07/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.40 % (2874173)------------------------------
% 0.15/2.40 % (2874173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.40 % (2874173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.40 % (2874173)CaDiCaL version: 2.1.3
% 0.15/2.40 % (2874173)Termination reason: Refutation
% 0.15/2.40 % (2874173)Time elapsed: 0.926 s
% 0.15/2.40 % (2874173)Peak memory usage: 132 MB
% 0.15/2.40 % (2874173)Instructions burned: 1439 (million)
% 0.15/2.40 % (2874173)------------------------------
% 0.15/2.40 % (2874173)------------------------------
% 0.15/2.40 % (2874166)Success in time 1.357 s
% 0.15/2.40 % Vampire exiting
%------------------------------------------------------------------------------