%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT241-10 : TPTP v9.3.1. Released v7.5.0.
% 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 11:46:21 AM UTC 2026
% Result : Unsatisfiable 6.19s 1.87s
% Output : Refutation 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f10,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f11,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X0,X2),meet(X2,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H51) ).
fof(f14,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f17,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f16]) ).
fof(f21,plain,
complement(a) != join(complement(a),complement(b)),
inference(superposition,[],[f17,f7]) ).
fof(f26,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f27,plain,
a = meet(a,b),
inference(superposition,[],[f15,f6]) ).
fof(f35,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f39,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f40,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f48,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f7,f35]) ).
fof(f52,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f55,plain,
! [X0] : meet(a,X0) = meet(a,meet(b,X0)),
inference(superposition,[],[f8,f27]) ).
fof(f73,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f9,f10]) ).
fof(f94,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f39,f26]) ).
fof(f104,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f94,f6]) ).
fof(f110,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f26,f40]) ).
fof(f112,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f6,f40]) ).
fof(f258,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f52,f6]) ).
fof(f283,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,X3)))) = meet(X1,join(X2,join(meet(X0,X1),meet(X0,X3)))),
inference(superposition,[],[f13,f6]) ).
fof(f288,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(complement(X0),join(X0,X2)))) = meet(X0,join(X1,join(zero,meet(complement(X0),X2)))),
inference(superposition,[],[f13,f11]) ).
fof(f348,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(complement(X0),join(X0,X2)))) = meet(X0,join(X1,meet(complement(X0),X2))),
inference(forward_demodulation,[],[f288,f48]) ).
fof(f384,plain,
! [X0,X1] : meet(X0,join(meet(complement(X0),join(X0,X1)),meet(complement(X0),X1))) = meet(X0,meet(complement(X0),join(X0,X1))),
inference(superposition,[],[f348,f3]) ).
fof(f386,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(complement(X0),X1))) = meet(X0,join(meet(complement(X0),join(X0,X1)),X2)),
inference(superposition,[],[f348,f7]) ).
fof(f407,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(meet(complement(X0),join(X0,X1)),meet(complement(X0),X1))),
inference(forward_demodulation,[],[f384,f258]) ).
fof(f421,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(meet(complement(X0),X1),meet(complement(X0),X1))),
inference(forward_demodulation,[],[f407,f386]) ).
fof(f433,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f421,f3]) ).
fof(f440,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f433,f11]) ).
fof(f460,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f440,f11]) ).
fof(f939,plain,
meet(a,zero) = meet(a,complement(b)),
inference(superposition,[],[f55,f11]) ).
fof(f962,plain,
zero = meet(a,complement(b)),
inference(forward_demodulation,[],[f939,f460]) ).
fof(f978,plain,
! [X0,X1] : meet(a,join(X0,meet(complement(b),join(a,X1)))) = meet(a,join(X0,join(zero,meet(complement(b),X1)))),
inference(superposition,[],[f13,f962]) ).
fof(f988,plain,
! [X0,X1] : meet(a,join(X0,meet(complement(b),X1))) = meet(a,join(X0,meet(complement(b),join(a,X1)))),
inference(forward_demodulation,[],[f978,f48]) ).
fof(f2491,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,complement(X2))))) = meet(X0,join(X1,join(meet(X2,X0),zero))),
inference(superposition,[],[f283,f11]) ).
fof(f2587,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,complement(X2))))) = meet(X0,join(X1,join(zero,meet(X2,X0)))),
inference(forward_demodulation,[],[f2491,f7]) ).
fof(f2646,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,complement(X2))))) = meet(X0,join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f2587,f48]) ).
fof(f2747,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(complement(X0),meet(X1,join(complement(X0),complement(X1)))))) = meet(X0,join(X2,meet(complement(X0),join(X0,meet(X1,complement(X0)))))),
inference(superposition,[],[f348,f2646]) ).
fof(f2758,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(complement(X0),meet(X1,join(complement(X0),complement(X1)))))) = meet(X0,join(X2,meet(complement(X0),meet(X1,complement(X0))))),
inference(forward_demodulation,[],[f2747,f348]) ).
fof(f2789,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(complement(X0),meet(X1,join(complement(X0),complement(X1)))))) = meet(X0,join(X2,meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f2758,f104]) ).
fof(f2806,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(complement(X0),X1))) = meet(X0,join(X2,meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f2789,f258]) ).
fof(f3297,plain,
! [X0] : meet(a,join(X0,meet(complement(b),one))) = meet(a,join(X0,meet(complement(b),complement(a)))),
inference(superposition,[],[f988,f10]) ).
fof(f3387,plain,
! [X0] : meet(a,join(X0,meet(complement(b),one))) = meet(a,join(X0,meet(complement(a),complement(b)))),
inference(forward_demodulation,[],[f3297,f2806]) ).
fof(f3417,plain,
! [X0] : meet(a,join(X0,meet(one,complement(b)))) = meet(a,join(X0,meet(complement(a),complement(b)))),
inference(forward_demodulation,[],[f3387,f6]) ).
fof(f3436,plain,
! [X0] : meet(a,join(X0,complement(b))) = meet(a,join(X0,meet(complement(a),complement(b)))),
inference(forward_demodulation,[],[f3417,f112]) ).
fof(f3452,plain,
meet(a,complement(a)) = meet(a,join(complement(a),complement(b))),
inference(superposition,[],[f3436,f5]) ).
fof(f3503,plain,
zero = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[],[f3452,f11]) ).
fof(f3521,plain,
join(complement(a),complement(b)) = ifeq(join(a,join(complement(a),complement(b))),one,ifeq(zero,zero,complement(a),join(complement(a),complement(b))),join(complement(a),complement(b))),
inference(superposition,[],[f12,f3503]) ).
fof(f3557,plain,
join(complement(a),complement(b)) = ifeq(join(a,join(complement(a),complement(b))),one,complement(a),join(complement(a),complement(b))),
inference(forward_demodulation,[],[f3521,f1]) ).
fof(f3569,plain,
join(complement(a),complement(b)) = ifeq(join(one,complement(b)),one,complement(a),join(complement(a),complement(b))),
inference(forward_demodulation,[],[f3557,f73]) ).
fof(f3573,plain,
join(complement(a),complement(b)) = ifeq(one,one,complement(a),join(complement(a),complement(b))),
inference(forward_demodulation,[],[f3569,f110]) ).
fof(f3575,plain,
complement(a) = join(complement(a),complement(b)),
inference(forward_demodulation,[],[f3573,f1]) ).
fof(f3577,plain,
$false,
inference(forward_subsumption_resolution,[],[f3575,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT241-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:07:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.70/1.66 % (261689)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.70/1.66 % (261796)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=686104366:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.70/1.66 % (261801)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=142247864:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.70/1.66 % (261795)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=2595625933:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.70/1.66 % (261800)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3848637818:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.70/1.66 % (261797)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2839824791:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.70/1.66 % (261799)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4085087500:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.70/1.66 % (261798)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1642288741:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.70/1.66 % (261799)Instruction limit reached!
% 4.70/1.66 % (261799)------------------------------
% 4.70/1.66 % (261799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.66 % (261799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.66 % (261799)CaDiCaL version: 2.1.3
% 4.70/1.66 % (261799)Termination reason: Instruction limit
% 4.70/1.66 % (261799)Termination phase: Saturation
% 4.70/1.66 % (261799)Time elapsed: 0.114 s
% 4.70/1.66 % (261799)Peak memory usage: 89 MB
% 4.70/1.66 % (261799)Instructions burned: 182 (million)
% 4.70/1.66 % (261798)Instruction limit reached!
% 4.70/1.66 % (261798)------------------------------
% 4.70/1.66 % (261798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.66 % (261798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.66 % (261798)CaDiCaL version: 2.1.3
% 4.70/1.66 % (261798)Termination reason: Instruction limit
% 4.70/1.66 % (261798)Termination phase: Saturation
% 4.70/1.66 % (261798)Time elapsed: 0.086 s
% 4.70/1.66 % (261798)Peak memory usage: 89 MB
% 4.70/1.66 % (261798)Instructions burned: 137 (million)
% 4.70/1.66 % (261800)Instruction limit reached!
% 4.70/1.66 % (261800)------------------------------
% 4.70/1.66 % (261800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.66 % (261800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.66 % (261800)CaDiCaL version: 2.1.3
% 4.70/1.66 % (261800)Termination reason: Instruction limit
% 4.70/1.66 % (261800)Termination phase: Saturation
% 4.70/1.66 % (261800)Time elapsed: 0.213 s
% 4.70/1.66 % (261800)Peak memory usage: 90 MB
% 4.70/1.66 % (261800)Instructions burned: 258 (million)
% 4.70/1.66 % (261822)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3117212906:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.70/1.66 % (261823)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=524275386:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.70/1.66 % (261824)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3938881639:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.70/1.66 % (261796)First to succeed.
% 4.70/1.66 % (261796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-261689"
% 4.70/1.66 % (261824)Instruction limit reached!
% 4.70/1.66 % (261824)------------------------------
% 4.70/1.66 % (261824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.66 % (261824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.66 % (261824)CaDiCaL version: 2.1.3
% 4.70/1.66 % (261824)Termination reason: Instruction limit
% 6.19/1.87 % (261824)Termination phase: Saturation
% 6.19/1.87 % (261824)Time elapsed: 0.112 s
% 6.19/1.87 % (261824)Peak memory usage: 92 MB
% 6.19/1.87 % (261824)Instructions burned: 216 (million)
% 6.19/1.87 % (261796)Refutation found. Thanks to Tanya!
% 6.19/1.87 % SZS status Unsatisfiable for theBenchmark
% 6.19/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 6.19/1.88 % (261796)------------------------------
% 6.19/1.88 % (261796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.88 % (261796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.88 % (261796)CaDiCaL version: 2.1.3
% 6.19/1.88 % (261796)Termination reason: Refutation
% 6.19/1.88 % (261796)Time elapsed: 0.487 s
% 6.19/1.88 % (261796)Peak memory usage: 134 MB
% 6.19/1.88 % (261796)Instructions burned: 1408 (million)
% 6.19/1.88 % (261796)------------------------------
% 6.19/1.88 % (261796)------------------------------
% 6.19/1.88 % (261689)Success in time 0.787 s
% 6.19/1.88 % Vampire exiting
%------------------------------------------------------------------------------