%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT149-1 : 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 : 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 11:46:04 AM UTC 2026
% Result : Unsatisfiable 69.39s 22.35s
% Output : Refutation 149.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 98 unt; 9 def)
% Number of atoms : 98 ( 97 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 : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
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,join(X2,meet(X0,X3)))) = meet(X0,join(X1,join(X2,meet(X3,join(X0,meet(X1,X2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H37) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(c,join(b,d)))) != meet(a,join(b,meet(c,join(d,meet(a,join(b,d)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H43) ).
fof(f11,definition,
sF0 = join(b,d),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
join(b,d) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = meet(c,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(c,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(b,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(b,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(a,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(a,sF2) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(a,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(a,sF0) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = join(d,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
join(d,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(c,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(c,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = join(b,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
join(b,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF8 = meet(a,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f28,plain,
meet(a,sF7) = sF8,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
sF3 != sF8,
inference(definition_folding,[],[f10,f28,f26,f24,f22,f20,f12,f18,f16,f14,f12]) ).
fof(f30,plain,
meet(c,join(b,d)) = sF1,
inference(forward_demodulation,[],[f14,f12]) ).
fof(f33,plain,
meet(a,join(b,d)) = sF4,
inference(forward_demodulation,[],[f20,f12]) ).
fof(f44,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f54,plain,
sF4 = meet(a,join(d,b)),
inference(backward_demodulation,[],[f33,f6]) ).
fof(f55,plain,
sF1 = meet(c,join(d,b)),
inference(backward_demodulation,[],[f30,f6]) ).
fof(f57,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f67,plain,
join(d,b) = join(join(d,b),sF4),
inference(superposition,[],[f44,f54]) ).
fof(f70,plain,
sF5 = join(sF5,sF6),
inference(superposition,[],[f44,f24]) ).
fof(f89,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f94,plain,
! [X0] : meet(a,meet(sF2,X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f18]) ).
fof(f95,plain,
! [X0] : meet(a,meet(sF7,X0)) = meet(sF8,X0),
inference(superposition,[],[f7,f28]) ).
fof(f96,plain,
! [X0] : meet(a,meet(join(d,b),X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f54]) ).
fof(f100,plain,
! [X0] : meet(c,meet(join(d,b),X0)) = meet(sF1,X0),
inference(superposition,[],[f7,f55]) ).
fof(f117,plain,
sF5 = join(sF6,sF5),
inference(superposition,[],[f70,f6]) ).
fof(f128,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f8,f2]) ).
fof(f131,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f138,plain,
! [X0] : join(b,join(sF6,X0)) = join(sF7,X0),
inference(superposition,[],[f8,f26]) ).
fof(f141,plain,
! [X0] : join(d,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f8,f22]) ).
fof(f150,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f8,f4]) ).
fof(f163,plain,
! [X2,X0,X1] : meet(X1,join(X0,join(X0,meet(X1,X2)))) = meet(X1,join(X0,join(X0,meet(X2,join(X1,X0))))),
inference(superposition,[],[f9,f1]) ).
fof(f331,plain,
sF3 = meet(a,sF3),
inference(superposition,[],[f89,f18]) ).
fof(f384,plain,
! [X0] : meet(sF3,X0) = meet(a,meet(X0,sF2)),
inference(superposition,[],[f94,f5]) ).
fof(f389,plain,
! [X0] : meet(a,sF2) = meet(sF3,join(X0,sF2)),
inference(superposition,[],[f94,f57]) ).
fof(f396,plain,
! [X0] : sF3 = meet(sF3,join(X0,sF2)),
inference(forward_demodulation,[],[f389,f18]) ).
fof(f408,plain,
! [X0] : meet(sF8,X0) = meet(a,meet(X0,sF7)),
inference(superposition,[],[f95,f5]) ).
fof(f411,plain,
! [X0] : meet(a,sF7) = meet(sF8,join(sF7,X0)),
inference(superposition,[],[f95,f3]) ).
fof(f422,plain,
! [X0] : sF8 = meet(sF8,join(sF7,X0)),
inference(forward_demodulation,[],[f411,f28]) ).
fof(f514,plain,
join(sF7,sF5) = join(b,sF5),
inference(superposition,[],[f138,f117]) ).
fof(f546,plain,
! [X0] : join(d,sF4) = join(sF5,meet(sF4,X0)),
inference(superposition,[],[f141,f4]) ).
fof(f558,plain,
! [X0] : sF5 = join(sF5,meet(sF4,X0)),
inference(forward_demodulation,[],[f546,f22]) ).
fof(f1027,plain,
meet(c,join(d,b)) = meet(sF1,join(d,b)),
inference(superposition,[],[f100,f1]) ).
fof(f1031,plain,
! [X0] : meet(c,join(d,b)) = meet(sF1,join(X0,join(d,b))),
inference(superposition,[],[f100,f57]) ).
fof(f1040,plain,
! [X0] : sF1 = meet(sF1,join(X0,join(d,b))),
inference(forward_demodulation,[],[f1031,f55]) ).
fof(f1042,plain,
sF1 = meet(sF1,join(d,b)),
inference(forward_demodulation,[],[f1027,f55]) ).
fof(f1061,plain,
sF1 = meet(join(d,b),sF1),
inference(superposition,[],[f1042,f5]) ).
fof(f1702,plain,
! [X0] : join(sF5,X0) = join(sF4,join(d,X0)),
inference(superposition,[],[f131,f22]) ).
fof(f2698,plain,
join(d,b) = join(d,join(b,sF1)),
inference(superposition,[],[f150,f1061]) ).
fof(f2736,plain,
join(d,b) = join(d,sF2),
inference(forward_demodulation,[],[f2698,f16]) ).
fof(f3203,plain,
sF8 = meet(sF8,join(b,sF5)),
inference(superposition,[],[f422,f514]) ).
fof(f3244,plain,
! [X2,X0,X1] : meet(X1,join(X0,join(X0,meet(X1,X2)))) = meet(X1,join(X0,meet(X2,join(X1,X0)))),
inference(forward_demodulation,[],[f163,f128]) ).
fof(f3245,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,join(X1,X0)))) = meet(X1,join(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f3244,f128]) ).
fof(f3293,plain,
sF3 = meet(sF3,join(d,b)),
inference(superposition,[],[f396,f2736]) ).
fof(f3803,plain,
sF3 = meet(join(d,b),sF3),
inference(superposition,[],[f3293,f5]) ).
fof(f3915,plain,
meet(a,sF3) = meet(sF4,sF3),
inference(superposition,[],[f96,f3803]) ).
fof(f3933,plain,
sF3 = meet(sF4,sF3),
inference(forward_demodulation,[],[f3915,f331]) ).
fof(f3935,plain,
sF5 = join(sF5,sF3),
inference(superposition,[],[f558,f3933]) ).
fof(f3958,plain,
sF3 = meet(sF3,sF5),
inference(superposition,[],[f57,f3935]) ).
fof(f5260,plain,
join(d,b) = join(b,join(d,sF4)),
inference(superposition,[],[f131,f67]) ).
fof(f5262,plain,
join(d,b) = join(b,sF5),
inference(forward_demodulation,[],[f5260,f22]) ).
fof(f5265,plain,
sF8 = meet(sF8,join(d,b)),
inference(backward_demodulation,[],[f3203,f5262]) ).
fof(f5271,plain,
sF5 = meet(sF5,join(d,b)),
inference(superposition,[],[f57,f5262]) ).
fof(f5301,plain,
sF5 = meet(join(d,b),sF5),
inference(superposition,[],[f5271,f5]) ).
fof(f5415,plain,
meet(c,sF5) = meet(sF1,sF5),
inference(superposition,[],[f100,f5301]) ).
fof(f5435,plain,
sF6 = meet(sF1,sF5),
inference(forward_demodulation,[],[f5415,f24]) ).
fof(f5454,plain,
sF6 = meet(sF5,sF1),
inference(superposition,[],[f5435,f5]) ).
fof(f16207,plain,
meet(sF4,sF7) = meet(sF8,join(d,b)),
inference(superposition,[],[f96,f408]) ).
fof(f16239,plain,
sF8 = meet(sF4,sF7),
inference(forward_demodulation,[],[f16207,f5265]) ).
fof(f16255,plain,
sF5 = join(sF5,sF8),
inference(superposition,[],[f558,f16239]) ).
fof(f16464,plain,
sF8 = meet(sF8,sF5),
inference(superposition,[],[f57,f16255]) ).
fof(f30199,plain,
sF1 = meet(sF1,join(sF5,b)),
inference(superposition,[],[f1040,f1702]) ).
fof(f30259,plain,
meet(sF5,join(b,meet(sF5,sF1))) = meet(sF5,join(b,sF1)),
inference(superposition,[],[f3245,f30199]) ).
fof(f30285,plain,
meet(sF5,join(b,meet(sF5,sF1))) = meet(sF5,sF2),
inference(forward_demodulation,[],[f30259,f16]) ).
fof(f30289,plain,
meet(sF5,sF2) = meet(sF5,join(b,sF6)),
inference(forward_demodulation,[],[f30285,f5454]) ).
fof(f30291,plain,
meet(sF5,sF2) = meet(sF5,sF7),
inference(forward_demodulation,[],[f30289,f26]) ).
fof(f30339,plain,
meet(sF3,sF5) = meet(a,meet(sF5,sF7)),
inference(superposition,[],[f384,f30291]) ).
fof(f30378,plain,
meet(sF3,sF5) = meet(sF8,sF5),
inference(forward_demodulation,[],[f30339,f408]) ).
fof(f30384,plain,
sF8 = meet(sF3,sF5),
inference(forward_demodulation,[],[f30378,f16464]) ).
fof(f30388,plain,
sF3 = sF8,
inference(backward_demodulation,[],[f3958,f30384]) ).
fof(f30389,plain,
$false,
inference(forward_subsumption_resolution,[],[f30388,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT149-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n019.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 14:03:34 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 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
% 69.39/22.35 % (3117827)Detected a unit-equality problem, will run specialized UEQ schedule.
% 69.39/22.35 % (3117836)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=362492186:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 69.39/22.35 % (3117836)Refutation not found, incomplete strategy
% 69.39/22.35 % (3117836)------------------------------
% 69.39/22.35 % (3117836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117836)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117836)Termination reason: Refutation not found, incomplete strategy
% 69.39/22.35 % (3117836)Time elapsed: 0.001 s
% 69.39/22.35 % (3117836)Peak memory usage: 87 MB
% 69.39/22.35 % (3117836)Instructions burned: 1 (million)
% 69.39/22.35 % (3117832)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=2364112206:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 69.39/22.35 % (3117833)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=3397111291:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 69.39/22.35 % (3117834)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2831277219:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 69.39/22.35 % (3117835)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2568562972:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 69.39/22.35 % (3117838)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=212198546:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 69.39/22.35 % (3117837)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2358529112:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 69.39/22.35 % (3117835)Instruction limit reached!
% 69.39/22.35 % (3117835)------------------------------
% 69.39/22.35 % (3117835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117835)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117835)Termination reason: Instruction limit
% 69.39/22.35 % (3117835)Termination phase: Saturation
% 69.39/22.35 % (3117835)Time elapsed: 0.137 s
% 69.39/22.35 % (3117835)Peak memory usage: 88 MB
% 69.39/22.35 % (3117835)Instructions burned: 136 (million)
% 69.39/22.35 % (3117836)------------------------------
% 69.39/22.35 % (3117836)------------------------------
% 69.39/22.35 % (3117837)Instruction limit reached!
% 69.39/22.35 % (3117837)------------------------------
% 69.39/22.35 % (3117837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117837)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117837)Termination reason: Instruction limit
% 69.39/22.35 % (3117837)Termination phase: Saturation
% 69.39/22.35 % (3117837)Time elapsed: 0.267 s
% 69.39/22.35 % (3117837)Peak memory usage: 90 MB
% 69.39/22.35 % (3117837)Instructions burned: 257 (million)
% 69.39/22.35 % (3117847)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=389830583:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 69.39/22.35 % (3117846)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3827852599:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 69.39/22.35 % (3117848)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=725629970:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 69.39/22.35 % (3117848)Instruction limit reached!
% 69.39/22.35 % (3117848)------------------------------
% 69.39/22.35 % (3117848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117848)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117848)Termination reason: Instruction limit
% 69.39/22.35 % (3117848)Termination phase: Saturation
% 69.39/22.35 % (3117848)Time elapsed: 0.188 s
% 69.39/22.35 % (3117848)Peak memory usage: 89 MB
% 69.39/22.35 % (3117848)Instructions burned: 215 (million)
% 69.39/22.35 % (3117852)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=1823157607: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)
% 69.39/22.35 % (3117838)Instruction limit reached!
% 69.39/22.35 % (3117838)------------------------------
% 69.39/22.35 % (3117838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117838)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117838)Termination reason: Instruction limit
% 69.39/22.35 % (3117838)Termination phase: Saturation
% 69.39/22.35 % (3117838)Time elapsed: 1.051 s
% 69.39/22.35 % (3117838)Peak memory usage: 98 MB
% 69.39/22.35 % (3117838)Instructions burned: 1187 (million)
% 69.39/22.35 % (3117852)Instruction limit reached!
% 69.39/22.35 % (3117852)------------------------------
% 69.39/22.35 % (3117852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117852)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117852)Termination reason: Instruction limit
% 69.39/22.35 % (3117852)Termination phase: Saturation
% 69.39/22.35 % (3117852)Time elapsed: 0.339 s
% 69.39/22.35 % (3117852)Peak memory usage: 93 MB
% 69.39/22.35 % (3117852)Instructions burned: 318 (million)
% 69.39/22.35 % (3117854)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=1945382597:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 69.39/22.35 % (3117855)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2280949378:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 69.39/22.35 % (3117846)Instruction limit reached!
% 69.39/22.35 % (3117846)------------------------------
% 69.39/22.35 % (3117846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117846)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117846)Termination reason: Instruction limit
% 69.39/22.35 % (3117846)Termination phase: Saturation
% 69.39/22.35 % (3117846)Time elapsed: 2.216 s
% 69.39/22.35 % (3117846)Peak memory usage: 142 MB
% 69.39/22.35 % (3117846)Instructions burned: 2052 (million)
% 69.39/22.35 % (3117858)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3477120577:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 69.39/22.35 % (3117855)Instruction limit reached!
% 69.39/22.35 % (3117855)------------------------------
% 69.39/22.35 % (3117855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117855)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117855)Termination reason: Instruction limit
% 69.39/22.35 % (3117855)Termination phase: Saturation
% 69.39/22.35 % (3117855)Time elapsed: 3.160 s
% 69.39/22.35 % (3117855)Peak memory usage: 142 MB
% 69.39/22.35 % (3117855)Instructions burned: 2837 (million)
% 69.39/22.35 % (3117860)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=3015514997:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2950 on theBenchmark for (2950ds/11832Mi)
% 69.39/22.35 % (3117847)Instruction limit reached!
% 69.39/22.35 % (3117847)------------------------------
% 69.39/22.35 % (3117847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117847)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117847)Termination reason: Instruction limit
% 69.39/22.35 % (3117847)Termination phase: Saturation
% 69.39/22.35 % (3117847)Time elapsed: 4.644 s
% 69.39/22.35 % (3117847)Peak memory usage: 167 MB
% 69.39/22.35 % (3117847)Instructions burned: 4948 (million)
% 69.39/22.35 % (3117862)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=3962545720:i=2279:fgj=on:bd=all_2947 on theBenchmark for (2947ds/2279Mi)
% 69.39/22.35 % (3117862)Instruction limit reached!
% 69.39/22.35 % (3117862)------------------------------
% 69.39/22.35 % (3117862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117862)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117862)Termination reason: Instruction limit
% 69.39/22.35 % (3117862)Termination phase: Saturation
% 69.39/22.35 % (3117862)Time elapsed: 2.303 s
% 69.39/22.35 % (3117862)Peak memory usage: 138 MB
% 69.39/22.35 % (3117862)Instructions burned: 2279 (million)
% 69.39/22.35 % (3117864)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1378856718:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2922 on theBenchmark for (2922ds/6225Mi)
% 69.39/22.35 % (3117854)Instruction limit reached!
% 69.39/22.35 % (3117854)------------------------------
% 69.39/22.35 % (3117854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117854)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117854)Termination reason: Instruction limit
% 69.39/22.35 % (3117854)Termination phase: Saturation
% 69.39/22.35 % (3117854)Time elapsed: 12.568 s
% 69.39/22.35 % (3117854)Peak memory usage: 242 MB
% 69.39/22.35 % (3117854)Instructions burned: 12125 (million)
% 69.39/22.35 % (3117864)Instruction limit reached!
% 69.39/22.35 % (3117864)------------------------------
% 69.39/22.35 % (3117864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117864)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117864)Termination reason: Instruction limit
% 69.39/22.35 % (3117864)Termination phase: Saturation
% 69.39/22.35 % (3117864)Time elapsed: 6.148 s
% 69.39/22.35 % (3117864)Peak memory usage: 163 MB
% 69.39/22.35 % (3117864)Instructions burned: 6226 (million)
% 69.39/22.35 % (3117866)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=935431994:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2858 on theBenchmark for (2858ds/21755Mi)
% 69.39/22.35 % (3117867)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2988797490:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2858 on theBenchmark for (2858ds/16427Mi)
% 69.39/22.35 % (3117860)Instruction limit reached!
% 69.39/22.35 % (3117860)------------------------------
% 69.39/22.35 % (3117860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117860)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117860)Termination reason: Instruction limit
% 69.39/22.35 % (3117860)Termination phase: Saturation
% 69.39/22.35 % (3117860)Time elapsed: 12.763 s
% 69.39/22.35 % (3117860)Peak memory usage: 220 MB
% 69.39/22.35 % (3117860)Instructions burned: 11833 (million)
% 69.39/22.35 % (3117871)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=863587773:i=9356:fgj=on:bd=preordered:av=off_2820 on theBenchmark for (2820ds/9356Mi)
% 69.39/22.35 % (3117858)Instruction limit reached!
% 69.39/22.35 % (3117858)------------------------------
% 69.39/22.35 % (3117858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.39/22.35 % (3117858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.39/22.35 % (3117858)CaDiCaL version: 2.1.3
% 69.39/22.35 % (3117858)Termination reason: Instruction limit
% 69.39/22.35 % (3117858)Termination phase: Saturation
% 69.39/22.35 % (3117858)Time elapsed: 15.404 s
% 69.39/22.35 % (3117858)Peak memory usage: 247 MB
% 69.39/22.35 % (3117858)Instructions burned: 14534 (million)
% 69.39/22.35 % (3117873)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=3628598541:i=2070:kws=inv_precedence:slsql=off:bd=all_2814 on theBenchmark for (2814ds/2070Mi)
% 69.39/22.35 % (3117873)First to succeed.
% 69.39/22.35 % (3117873)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3117827"
% 69.39/22.35 % (3117873)Refutation found. Thanks to Tanya!
% 69.39/22.35 % SZS status Unsatisfiable for theBenchmark
% 69.39/22.35 % SZS output start Proof for theBenchmark
% See solution above
% 149.96/22.66 % (3117873)------------------------------
% 149.96/22.66 % (3117873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.96/22.66 % (3117873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.96/22.66 % (3117873)CaDiCaL version: 2.1.3
% 149.96/22.66 % (3117873)Termination reason: Refutation
% 149.96/22.66 % (3117873)Time elapsed: 1.734 s
% 149.96/22.66 % (3117873)Peak memory usage: 131 MB
% 149.96/22.66 % (3117873)Instructions burned: 1656 (million)
% 149.96/22.66 % (3117873)------------------------------
% 149.96/22.66 % (3117873)------------------------------
% 149.96/22.66 % (3117827)Success in time 21.043 s
% 149.96/22.66 % Vampire exiting
%------------------------------------------------------------------------------