TSTP Solution File: LAT238-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT238-1 : 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 : n026.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 07:26:10 EDT 2024
% Result : Unsatisfiable 222.42s 32.02s
% Output : Refutation 222.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 63 ( 59 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f722559,plain,
$false,
inference(trivial_inequality_removal,[],[f722259]) ).
fof(f722259,plain,
complement(a) != complement(a),
inference(superposition,[],[f56,f721722]) ).
fof(f721722,plain,
complement(a) = join(complement(a),complement(b)),
inference(trivial_inequality_removal,[],[f721443]) ).
fof(f721443,plain,
( zero != zero
| complement(a) = join(complement(a),complement(b)) ),
inference(superposition,[],[f372,f721143]) ).
fof(f721143,plain,
zero = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[],[f721142,f10]) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f721142,plain,
meet(a,complement(a)) = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[],[f720806,f74]) ).
fof(f74,plain,
! [X0] : meet(a,X0) = meet(a,meet(b,X0)),
inference(superposition,[],[f7,f24]) ).
fof(f24,plain,
a = meet(a,b),
inference(superposition,[],[f5,f13]) ).
fof(f13,axiom,
a = meet(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,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(f720806,plain,
meet(a,meet(b,complement(a))) = meet(a,join(complement(a),complement(b))),
inference(superposition,[],[f74,f463486]) ).
fof(f463486,plain,
meet(b,complement(a)) = meet(b,join(complement(a),complement(b))),
inference(forward_demodulation,[],[f463485,f25]) ).
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/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f463485,plain,
meet(b,complement(a)) = meet(b,join(complement(a),meet(one,complement(b)))),
inference(forward_demodulation,[],[f463101,f353916]) ).
fof(f353916,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f353192,f9022]) ).
fof(f9022,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f29,f1138]) ).
fof(f1138,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f143,f7]) ).
fof(f143,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f54,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f54,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f29,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f353192,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,join(meet(X1,X0),meet(X0,X1))),
inference(superposition,[],[f109880,f9022]) ).
fof(f109880,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f4233,f196]) ).
fof(f196,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f8,f6]) ).
fof(f8,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(f4233,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f183,f8]) ).
fof(f183,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f8,f6]) ).
fof(f463101,plain,
meet(b,complement(a)) = meet(b,join(complement(a),meet(complement(b),one))),
inference(superposition,[],[f21344,f2864]) ).
fof(f2864,plain,
! [X0] : one = join(complement(X0),X0),
inference(superposition,[],[f465,f213]) ).
fof(f213,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f187,f38]) ).
fof(f38,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f25,f3]) ).
fof(f187,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f465,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f182,f6]) ).
fof(f182,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f8,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f21344,plain,
! [X0] : meet(b,X0) = meet(b,join(X0,meet(complement(b),join(X0,a)))),
inference(forward_demodulation,[],[f21343,f20]) ).
fof(f20,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f21343,plain,
! [X0] : meet(b,join(X0,meet(complement(b),join(X0,a)))) = meet(b,join(X0,zero)),
inference(forward_demodulation,[],[f21342,f10]) ).
fof(f21342,plain,
! [X0] : meet(b,join(X0,meet(complement(b),join(X0,a)))) = meet(b,join(X0,meet(b,complement(b)))),
inference(forward_demodulation,[],[f20886,f9170]) ).
fof(f9170,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f9169,f3]) ).
fof(f9169,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(X1,meet(X0,join(X0,X3))))),
inference(forward_demodulation,[],[f9168,f7]) ).
fof(f9168,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(meet(X1,X0),join(X0,X3)))),
inference(forward_demodulation,[],[f9167,f1973]) ).
fof(f1973,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(X1,meet(X0,join(X2,join(X3,meet(X0,X1))))),
inference(superposition,[],[f66,f204]) ).
fof(f204,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f54,f8]) ).
fof(f66,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
inference(superposition,[],[f7,f5]) ).
fof(f9167,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(meet(X1,X0),join(X0,X3)))) = meet(X0,join(X2,meet(X1,meet(X0,join(X2,join(X3,meet(X0,X1))))))),
inference(forward_demodulation,[],[f9021,f7]) ).
fof(f9021,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(meet(X1,X0),join(X0,X3)))) = meet(X0,join(X2,meet(meet(X1,X0),join(X2,join(X3,meet(X0,X1)))))),
inference(superposition,[],[f12,f1138]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X1,join(X3,meet(X0,X2)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H42) ).
fof(f20886,plain,
! [X0] : meet(b,join(X0,meet(complement(b),join(X0,a)))) = meet(b,join(X0,meet(complement(b),b))),
inference(superposition,[],[f638,f17]) ).
fof(f17,plain,
b = join(b,a),
inference(superposition,[],[f4,f13]) ).
fof(f638,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(complement(X0),join(X0,X2)))) = meet(X0,join(X1,meet(complement(X0),join(X1,X2)))),
inference(forward_demodulation,[],[f566,f20]) ).
fof(f566,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(complement(X0),join(X0,X2)))) = meet(X0,join(X1,meet(complement(X0),join(X1,join(X2,zero))))),
inference(superposition,[],[f12,f10]) ).
fof(f372,plain,
! [X0,X1] :
( zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f357,plain,
! [X0,X1] :
( one != one
| complement(X0) = join(complement(X0),X1)
| zero != meet(X0,join(complement(X0),X1)) ),
inference(superposition,[],[f11,f213]) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| complement(X0) = X1
| meet(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f56,plain,
complement(a) != join(complement(a),complement(b)),
inference(superposition,[],[f14,f6]) ).
fof(f14,axiom,
complement(a) != join(complement(b),complement(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT238-1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:54:06 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (12932)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (12935)WARNING: value z3 for option sas not known
% 0.22/0.38 % (12936)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (12934)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 % (12933)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (12935)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 % (12938)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 % (12937)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 % (12939)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 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.45 TRYING [4]
% 0.22/0.45 TRYING [5]
% 1.46/0.56 TRYING [5]
% 1.46/0.57 TRYING [6]
% 3.52/0.86 TRYING [7]
% 3.52/0.91 TRYING [6]
% 7.83/1.49 TRYING [1]
% 7.83/1.49 TRYING [2]
% 7.83/1.49 TRYING [3]
% 7.83/1.50 TRYING [4]
% 8.29/1.54 TRYING [5]
% 8.29/1.55 TRYING [8]
% 9.11/1.65 TRYING [6]
% 11.11/1.98 TRYING [7]
% 12.05/2.07 TRYING [7]
% 16.17/2.74 TRYING [8]
% 19.25/3.15 TRYING [9]
% 29.03/4.53 TRYING [9]
% 37.94/5.75 TRYING [8]
% 44.88/6.79 TRYING [10]
% 58.25/8.70 TRYING [10]
% 123.12/17.92 TRYING [9]
% 221.87/31.94 % (12938)First to succeed.
% 221.87/31.98 % (12938)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12932"
% 222.42/32.02 % (12938)Refutation found. Thanks to Tanya!
% 222.42/32.02 % SZS status Unsatisfiable for theBenchmark
% 222.42/32.02 % SZS output start Proof for theBenchmark
% See solution above
% 222.42/32.02 % (12938)------------------------------
% 222.42/32.02 % (12938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 222.42/32.02 % (12938)Termination reason: Refutation
% 222.42/32.02
% 222.42/32.02 % (12938)Memory used [KB]: 431112
% 222.42/32.02 % (12938)Time elapsed: 31.597 s
% 222.42/32.02 % (12938)Instructions burned: 93809 (million)
% 222.42/32.02 % (12932)Success in time 31.373 s
%------------------------------------------------------------------------------