TSTP Solution File: LAT249-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:26:11 EDT 2024
% Result : Unsatisfiable 44.93s 6.78s
% Output : Refutation 44.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 42 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f350210,plain,
$false,
inference(subsumption_resolution,[],[f350209,f6404]) ).
fof(f6404,plain,
zero != meet(a,join(complement(b),complement(a))),
inference(unit_resulting_resolution,[],[f14,f1751,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| complement(X0) = X1
| meet(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f1751,plain,
! [X0,X1] : one = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1628,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f1628,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1572,f33]) ).
fof(f33,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f25,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f25,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f16]) ).
fof(f16,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f1572,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
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(f14,axiom,
complement(a) != join(complement(b),complement(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f350209,plain,
zero = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f350208,f611]) ).
fof(f611,plain,
zero = meet(a,complement(b)),
inference(superposition,[],[f593,f5]) ).
fof(f593,plain,
zero = meet(complement(b),a),
inference(superposition,[],[f534,f13]) ).
fof(f13,axiom,
a = meet(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f534,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[],[f525,f55]) ).
fof(f55,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f43,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f43,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f20]) ).
fof(f20,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f525,plain,
! [X0,X1] : meet(zero,X1) = meet(complement(X0),meet(X0,X1)),
inference(superposition,[],[f7,f496]) ).
fof(f496,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(superposition,[],[f468,f168]) ).
fof(f168,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f96,f5]) ).
fof(f96,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f47,f27]) ).
fof(f27,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f47,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f468,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f422,f55]) ).
fof(f422,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
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(f350208,plain,
meet(a,complement(b)) = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f350207,f43]) ).
fof(f350207,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(zero,complement(b))),
inference(forward_demodulation,[],[f350206,f6]) ).
fof(f350206,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),zero)),
inference(forward_demodulation,[],[f350205,f10]) ).
fof(f350205,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,complement(a)))),
inference(forward_demodulation,[],[f350204,f43]) ).
fof(f350204,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,join(zero,complement(a))))),
inference(forward_demodulation,[],[f348299,f6]) ).
fof(f348299,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,join(complement(a),zero)))),
inference(superposition,[],[f16924,f611]) ).
fof(f16924,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[],[f16711,f20]) ).
fof(f16711,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,join(X1,zero)))))),
inference(superposition,[],[f12,f10]) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H64) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:19:05 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.36 % (5615)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (5618)WARNING: value z3 for option sas not known
% 0.22/0.37 % (5618)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (5616)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (5617)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (5619)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (5620)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (5622)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 % (5621)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.52 TRYING [5]
% 0.22/0.53 TRYING [6]
% 2.25/0.69 TRYING [7]
% 2.69/0.75 TRYING [6]
% 5.11/1.07 TRYING [8]
% 5.65/1.18 TRYING [7]
% 7.73/1.47 TRYING [1]
% 7.73/1.47 TRYING [2]
% 7.73/1.48 TRYING [3]
% 8.01/1.49 TRYING [4]
% 8.01/1.51 TRYING [5]
% 8.46/1.59 TRYING [6]
% 10.14/1.79 TRYING [7]
% 10.46/1.87 TRYING [9]
% 12.06/2.07 TRYING [8]
% 13.16/2.25 TRYING [8]
% 19.88/3.21 TRYING [9]
% 21.87/3.52 TRYING [10]
% 25.10/3.94 TRYING [9]
% 32.33/5.05 TRYING [10]
% 44.66/6.77 % (5622)First to succeed.
% 44.93/6.78 % (5622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5615"
% 44.93/6.78 % (5622)Refutation found. Thanks to Tanya!
% 44.93/6.78 % SZS status Unsatisfiable for theBenchmark
% 44.93/6.78 % SZS output start Proof for theBenchmark
% See solution above
% 44.93/6.78 % (5622)------------------------------
% 44.93/6.78 % (5622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 44.93/6.78 % (5622)Termination reason: Refutation
% 44.93/6.78
% 44.93/6.78 % (5622)Memory used [KB]: 80935
% 44.93/6.78 % (5622)Time elapsed: 6.402 s
% 44.93/6.78 % (5622)Instructions burned: 24574 (million)
% 44.93/6.78 % (5615)Success in time 6.353 s
%------------------------------------------------------------------------------