%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT045-1 : 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 : n004.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 0.16s 1.20s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 16 unt; 1 def)
% Number of atoms : 16 ( 10 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 : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f11,axiom,
! [X0] : join(complement(X0),X0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability1) ).
fof(f13,axiom,
! [X0] : complement(complement(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability3) ).
fof(f14,axiom,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law) ).
fof(f15,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_orthomodular_law) ).
fof(f16,plain,
join(a,b) != join(a,meet(complement(a),join(a,b))),
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
~ sP0(join(a,b)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f18,plain,
sP0(join(a,meet(complement(a),join(a,b)))),
inference(inequality_splitting,[],[f16,f17]) ).
fof(f19,plain,
sP0(meet(join(a,complement(a)),join(a,b))),
inference(backward_demodulation,[],[f18,f14]) ).
fof(f20,plain,
! [X0] : n1 = join(X0,complement(X0)),
inference(superposition,[],[f11,f13]) ).
fof(f21,plain,
sP0(meet(n1,join(a,b))),
inference(backward_demodulation,[],[f19,f20]) ).
fof(f26,plain,
! [X0] : meet(X0,n1) = X0,
inference(superposition,[],[f3,f20]) ).
fof(f46,plain,
! [X0] : meet(n1,X0) = X0,
inference(superposition,[],[f26,f5]) ).
fof(f48,plain,
sP0(join(a,b)),
inference(backward_demodulation,[],[f21,f46]) ).
fof(f49,plain,
$false,
inference(forward_subsumption_resolution,[],[f48,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.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
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:57:52 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.16/1.20 % (3539813)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.16/1.20 % (3539821)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2925597057:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.16/1.20 % (3539824)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1825183864:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.16/1.20 % (3539823)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=305744808:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.16/1.20 % (3539819)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=1816928501:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.16/1.20 % (3539820)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2738502779:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.16/1.20 % (3539822)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2113911086:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.16/1.20 % (3539818)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=3883916715:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.16/1.20 % (3539821)First to succeed.
% 0.16/1.20 % (3539821)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3539813"
% 0.16/1.20 % (3539823)Also succeeded, but the first one will report.
% 0.16/1.20 % (3539822)Also succeeded, but the first one will report.
% 0.16/1.20 % (3539821)Refutation found. Thanks to Tanya!
% 0.16/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.20 % (3539821)------------------------------
% 0.16/1.20 % (3539821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.20 % (3539821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.20 % (3539821)CaDiCaL version: 2.1.3
% 0.16/1.20 % (3539821)Termination reason: Refutation
% 0.16/1.20 % (3539821)Time elapsed: 0.003 s
% 0.16/1.20 % (3539821)Peak memory usage: 87 MB
% 0.16/1.20 % (3539821)Instructions burned: 3 (million)
% 0.16/1.20 % (3539821)------------------------------
% 0.16/1.20 % (3539821)------------------------------
% 0.16/1.20 % (3539813)Success in time 0.396 s
% 0.16/1.20 % Vampire exiting
%------------------------------------------------------------------------------