%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:45:54 AM UTC 2026
% Result : Unsatisfiable 5.46s 1.73s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity) ).
fof(f13,negated_conjecture,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modular_law) ).
fof(f23,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X0,X1),meet(X1,X2)),
inference(superposition,[],[f9,f5]) ).
fof(f64,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f704,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = meet(join(X0,X1),join(X0,X2)),
inference(superposition,[],[f23,f3]) ).
fof(f729,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f64,f23]) ).
fof(f888,plain,
join(a,meet(b,join(a,c))) != join(a,meet(join(a,b),c)),
inference(superposition,[],[f13,f704]) ).
fof(f922,plain,
join(a,meet(b,join(a,c))) != join(a,meet(c,join(a,b))),
inference(forward_demodulation,[],[f888,f5]) ).
fof(f959,plain,
join(a,meet(b,join(a,c))) != join(a,meet(c,b)),
inference(forward_demodulation,[],[f922,f729]) ).
fof(f983,plain,
join(a,meet(b,join(a,c))) != join(a,meet(b,c)),
inference(forward_demodulation,[],[f959,f5]) ).
fof(f994,plain,
$false,
inference(forward_subsumption_resolution,[],[f983,f729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:57:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.46/1.73 % (2055412)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.46/1.73 % (2055418)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=948195465:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.46/1.73 % (2055421)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2010246973:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.46/1.73 % (2055420)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1536590712:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.46/1.73 % (2055419)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3193563757:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.46/1.73 % (2055417)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=4267319507:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.46/1.73 % (2055423)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1061135179:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.46/1.73 % (2055422)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2551621705:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.46/1.73 % (2055420)Instruction limit reached!
% 5.46/1.73 % (2055420)------------------------------
% 5.46/1.73 % (2055420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2055420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2055420)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2055420)Termination reason: Instruction limit
% 5.46/1.73 % (2055420)Termination phase: Saturation
% 5.46/1.73 % (2055420)Time elapsed: 0.081 s
% 5.46/1.73 % (2055420)Peak memory usage: 88 MB
% 5.46/1.73 % (2055420)Instructions burned: 136 (million)
% 5.46/1.73 % (2055421)Instruction limit reached!
% 5.46/1.73 % (2055421)------------------------------
% 5.46/1.73 % (2055421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2055421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2055421)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2055421)Termination reason: Instruction limit
% 5.46/1.73 % (2055421)Termination phase: Saturation
% 5.46/1.73 % (2055421)Time elapsed: 0.102 s
% 5.46/1.73 % (2055421)Peak memory usage: 89 MB
% 5.46/1.73 % (2055421)Instructions burned: 182 (million)
% 5.46/1.73 % (2055422)Instruction limit reached!
% 5.46/1.73 % (2055422)------------------------------
% 5.46/1.73 % (2055422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2055422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2055422)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2055422)Termination reason: Instruction limit
% 5.46/1.73 % (2055422)Termination phase: Saturation
% 5.46/1.73 % (2055422)Time elapsed: 0.161 s
% 5.46/1.73 % (2055422)Peak memory usage: 90 MB
% 5.46/1.73 % (2055422)Instructions burned: 258 (million)
% 5.46/1.73 % (2055431)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2767353404:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.46/1.73 % (2055432)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3884384936:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.46/1.73 % (2055433)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=279817650:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.46/1.73 % (2055418)First to succeed.
% 5.46/1.73 % (2055418)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2055412"
% 5.46/1.73 % (2055433)Instruction limit reached!
% 5.46/1.73 % (2055433)------------------------------
% 5.46/1.73 % (2055433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2055433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2055433)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2055433)Termination reason: Instruction limit
% 5.46/1.73 % (2055433)Termination phase: Saturation
% 5.46/1.73 % (2055433)Time elapsed: 0.108 s
% 5.46/1.73 % (2055433)Peak memory usage: 90 MB
% 5.46/1.73 % (2055433)Instructions burned: 216 (million)
% 5.46/1.73 % (2055418)Refutation found. Thanks to Tanya!
% 5.46/1.73 % SZS status Unsatisfiable for theBenchmark
% 5.46/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.73 % (2055418)------------------------------
% 5.46/1.73 % (2055418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2055418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2055418)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2055418)Termination reason: Refutation
% 5.46/1.73 % (2055418)Time elapsed: 0.383 s
% 5.46/1.73 % (2055418)Peak memory usage: 129 MB
% 5.46/1.73 % (2055418)Instructions burned: 1013 (million)
% 5.46/1.73 % (2055418)------------------------------
% 5.46/1.73 % (2055418)------------------------------
% 5.46/1.73 % (2055412)Success in time 0.682 s
% 5.46/1.73 % Vampire exiting
%------------------------------------------------------------------------------