%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT230-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 11:46:20 AM UTC 2026
% Result : Unsatisfiable 17.40s 3.51s
% Output : Refutation 17.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f8,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f9,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f10,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f11,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f12,axiom,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X0,X1),zero,complement(X0),X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f13,axiom,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),join(meet(X0,X2),meet(X1,join(X0,X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H18) ).
fof(f14,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f15,plain,
a = meet(b,a),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f17,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
complement(a) != join(complement(a),complement(b)),
inference(forward_demodulation,[],[f17,f7]) ).
fof(f19,plain,
a = meet(a,b),
inference(forward_demodulation,[],[f15,f6]) ).
fof(f37,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(X1,X0)) = meet(X1,join(meet(X1,X2),join(meet(X1,X0),meet(X2,join(X0,X1))))),
inference(superposition,[],[f13,f7]) ).
fof(f50,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f91,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f9,f5]) ).
fof(f92,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f9,f50]) ).
fof(f103,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f116,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f92,f7]) ).
fof(f120,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = join(X0,one),
inference(superposition,[],[f92,f10]) ).
fof(f159,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f184,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f6,f159]) ).
fof(f188,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f50,f159]) ).
fof(f219,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f11,f8]) ).
fof(f3241,plain,
join(b,one) = join(b,complement(a)),
inference(superposition,[],[f120,f19]) ).
fof(f3284,plain,
join(b,complement(a)) = join(one,b),
inference(forward_demodulation,[],[f3241,f7]) ).
fof(f3323,plain,
one = join(b,complement(a)),
inference(forward_demodulation,[],[f3284,f188]) ).
fof(f3402,plain,
! [X0] : join(meet(complement(a),X0),meet(complement(a),b)) = meet(complement(a),join(meet(complement(a),X0),join(meet(complement(a),b),meet(X0,one)))),
inference(superposition,[],[f37,f3323]) ).
fof(f3417,plain,
! [X0] : join(meet(complement(a),X0),meet(complement(a),b)) = meet(complement(a),join(meet(X0,one),join(meet(complement(a),X0),meet(complement(a),b)))),
inference(forward_demodulation,[],[f3402,f103]) ).
fof(f3426,plain,
! [X0] : join(meet(complement(a),X0),meet(b,complement(a))) = meet(complement(a),join(meet(X0,one),join(meet(complement(a),X0),meet(b,complement(a))))),
inference(forward_demodulation,[],[f3417,f6]) ).
fof(f3431,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = meet(complement(a),join(meet(X0,one),join(meet(b,complement(a)),meet(complement(a),X0)))),
inference(forward_demodulation,[],[f3426,f7]) ).
fof(f3434,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = meet(complement(a),join(X0,join(meet(b,complement(a)),meet(complement(a),X0)))),
inference(forward_demodulation,[],[f3431,f159]) ).
fof(f3435,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = meet(complement(a),join(X0,meet(b,complement(a)))),
inference(forward_demodulation,[],[f3434,f116]) ).
fof(f3464,plain,
! [X0] : join(b,meet(complement(a),X0)) = join(b,meet(complement(a),join(X0,meet(b,complement(a))))),
inference(superposition,[],[f91,f3435]) ).
fof(f3588,plain,
! [X0] : join(b,meet(complement(a),X0)) = join(b,meet(complement(a),join(meet(b,complement(a)),X0))),
inference(superposition,[],[f3464,f7]) ).
fof(f3661,plain,
join(b,meet(complement(a),one)) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(superposition,[],[f3588,f10]) ).
fof(f3697,plain,
join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(b,meet(one,complement(a))),
inference(forward_demodulation,[],[f3661,f6]) ).
fof(f3715,plain,
join(b,complement(a)) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3697,f184]) ).
fof(f3728,plain,
one = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3715,f3323]) ).
fof(f3745,plain,
meet(complement(a),complement(meet(b,complement(a)))) = ifeq(one,one,ifeq(meet(b,meet(complement(a),complement(meet(b,complement(a))))),zero,complement(b),meet(complement(a),complement(meet(b,complement(a))))),meet(complement(a),complement(meet(b,complement(a))))),
inference(superposition,[],[f12,f3728]) ).
fof(f3765,plain,
meet(complement(a),complement(meet(b,complement(a)))) = ifeq(meet(b,meet(complement(a),complement(meet(b,complement(a))))),zero,complement(b),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3745,f1]) ).
fof(f3776,plain,
meet(complement(a),complement(meet(b,complement(a)))) = ifeq(zero,zero,complement(b),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3765,f219]) ).
fof(f3784,plain,
complement(b) = meet(complement(a),complement(meet(b,complement(a)))),
inference(forward_demodulation,[],[f3776,f1]) ).
fof(f3813,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f5,f3784]) ).
fof(f3852,plain,
$false,
inference(forward_subsumption_resolution,[],[f3813,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT230-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:06:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.86/3.35 % (3003787)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.86/3.35 % (3003823)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3716282819:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 16.86/3.35 % (3003822)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1413708111:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 16.86/3.35 % (3003821)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=52257688:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 16.86/3.35 % (3003819)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=1405031015:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 16.86/3.35 % (3003818)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=2071930937:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 16.86/3.35 % (3003824)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1554220917:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 16.86/3.35 % (3003820)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2969229920:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 16.86/3.35 % (3003823)Instruction limit reached!
% 16.86/3.35 % (3003823)------------------------------
% 16.86/3.35 % (3003823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.35 % (3003823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.35 % (3003823)CaDiCaL version: 2.1.3
% 16.86/3.35 % (3003823)Termination reason: Instruction limit
% 16.86/3.35 % (3003823)Termination phase: Saturation
% 16.86/3.35 % (3003823)Time elapsed: 0.141 s
% 16.86/3.35 % (3003823)Peak memory usage: 91 MB
% 16.86/3.35 % (3003823)Instructions burned: 258 (million)
% 16.86/3.35 % (3003821)Instruction limit reached!
% 16.86/3.35 % (3003821)------------------------------
% 16.86/3.35 % (3003821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.35 % (3003821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.35 % (3003821)CaDiCaL version: 2.1.3
% 16.86/3.35 % (3003821)Termination reason: Instruction limit
% 16.86/3.35 % (3003821)Termination phase: Saturation
% 16.86/3.35 % (3003821)Time elapsed: 0.143 s
% 16.86/3.35 % (3003821)Peak memory usage: 89 MB
% 16.86/3.35 % (3003821)Instructions burned: 136 (million)
% 16.86/3.35 % (3003822)Instruction limit reached!
% 16.86/3.35 % (3003822)------------------------------
% 16.86/3.35 % (3003822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.35 % (3003822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.35 % (3003822)CaDiCaL version: 2.1.3
% 16.86/3.35 % (3003822)Termination reason: Instruction limit
% 16.86/3.35 % (3003822)Termination phase: Saturation
% 16.86/3.35 % (3003822)Time elapsed: 0.180 s
% 16.86/3.35 % (3003822)Peak memory usage: 89 MB
% 16.86/3.35 % (3003822)Instructions burned: 181 (million)
% 16.86/3.35 % (3003835)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1362394942:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 16.86/3.35 % (3003836)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3995970859:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 16.86/3.35 % (3003837)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=172041360:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 16.86/3.35 % (3003837)Instruction limit reached!
% 16.86/3.35 % (3003837)------------------------------
% 16.86/3.35 % (3003837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.35 % (3003837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.35 % (3003837)CaDiCaL version: 2.1.3
% 16.86/3.35 % (3003837)Termination reason: Instruction limit
% 16.86/3.35 % (3003837)Termination phase: Saturation
% 16.86/3.35 % (3003837)Time elapsed: 0.179 s
% 17.40/3.51 % (3003837)Peak memory usage: 92 MB
% 17.40/3.51 % (3003837)Instructions burned: 215 (million)
% 17.40/3.51 % (3003845)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=2168344642:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 17.40/3.51 % (3003845)Instruction limit reached!
% 17.40/3.51 % (3003845)------------------------------
% 17.40/3.51 % (3003845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.40/3.51 % (3003845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.40/3.51 % (3003845)CaDiCaL version: 2.1.3
% 17.40/3.51 % (3003845)Termination reason: Instruction limit
% 17.40/3.51 % (3003845)Termination phase: Saturation
% 17.40/3.51 % (3003845)Time elapsed: 0.308 s
% 17.40/3.51 % (3003845)Peak memory usage: 93 MB
% 17.40/3.51 % (3003845)Instructions burned: 318 (million)
% 17.40/3.51 % (3003824)Instruction limit reached!
% 17.40/3.51 % (3003824)------------------------------
% 17.40/3.51 % (3003824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.40/3.51 % (3003824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.40/3.51 % (3003824)CaDiCaL version: 2.1.3
% 17.40/3.51 % (3003824)Termination reason: Instruction limit
% 17.40/3.51 % (3003824)Termination phase: Saturation
% 17.40/3.51 % (3003824)Time elapsed: 1.044 s
% 17.40/3.51 % (3003824)Peak memory usage: 101 MB
% 17.40/3.51 % (3003824)Instructions burned: 1187 (million)
% 17.40/3.51 % (3003851)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=100458243:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 17.40/3.51 % (3003852)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3389962493:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 17.40/3.51 % (3003835)Instruction limit reached!
% 17.40/3.51 % (3003835)------------------------------
% 17.40/3.51 % (3003835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.40/3.51 % (3003835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.40/3.51 % (3003835)CaDiCaL version: 2.1.3
% 17.40/3.51 % (3003835)Termination reason: Instruction limit
% 17.40/3.51 % (3003835)Termination phase: Saturation
% 17.40/3.51 % (3003835)Time elapsed: 1.147 s
% 17.40/3.51 % (3003835)Peak memory usage: 142 MB
% 17.40/3.51 % (3003835)Instructions burned: 2052 (million)
% 17.40/3.51 % (3003855)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2371232986:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 17.40/3.51 % (3003836)First to succeed.
% 17.40/3.51 % (3003836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3003787"
% 17.40/3.51 % (3003836)Refutation found. Thanks to Tanya!
% 17.40/3.51 % SZS status Unsatisfiable for theBenchmark
% 17.40/3.51 % SZS output start Proof for theBenchmark
% See solution above
% 17.40/3.51 % (3003836)------------------------------
% 17.40/3.51 % (3003836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.40/3.51 % (3003836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.40/3.51 % (3003836)CaDiCaL version: 2.1.3
% 17.40/3.51 % (3003836)Termination reason: Refutation
% 17.40/3.51 % (3003836)Time elapsed: 1.408 s
% 17.40/3.51 % (3003836)Peak memory usage: 132 MB
% 17.40/3.51 % (3003836)Instructions burned: 1393 (million)
% 17.40/3.51 % (3003836)------------------------------
% 17.40/3.51 % (3003836)------------------------------
% 17.40/3.51 % (3003787)Success in time 2.37 s
% 17.40/3.51 % Vampire exiting
%------------------------------------------------------------------------------