TSTP Solution File: LAT251-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT251-1 : 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 : n016.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 : Tue Apr 30 13:20:58 EDT 2024
% Result : Unsatisfiable 28.42s 4.40s
% Output : Refutation 28.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 59 ( 51 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 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 : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146959,plain,
$false,
inference(subsumption_resolution,[],[f146917,f14]) ).
fof(f14,axiom,
complement(a) != join(complement(b),complement(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f146917,plain,
complement(a) = join(complement(b),complement(a)),
inference(superposition,[],[f6446,f146664]) ).
fof(f146664,plain,
a = complement(join(complement(b),complement(a))),
inference(subsumption_resolution,[],[f146663,f83]) ).
fof(f83,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f33,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
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(f146663,plain,
( one != join(complement(b),one)
| a = complement(join(complement(b),complement(a))) ),
inference(forward_demodulation,[],[f146662,f9]) ).
fof(f146662,plain,
( one != join(complement(b),join(a,complement(a)))
| a = complement(join(complement(b),complement(a))) ),
inference(forward_demodulation,[],[f146655,f6]) ).
fof(f146655,plain,
( a = complement(join(complement(b),complement(a)))
| one != join(complement(b),join(complement(a),a)) ),
inference(trivial_inequality_removal,[],[f146446]) ).
fof(f146446,plain,
( zero != zero
| a = complement(join(complement(b),complement(a)))
| one != join(complement(b),join(complement(a),a)) ),
inference(superposition,[],[f242,f123860]) ).
fof(f123860,plain,
zero = meet(join(complement(b),complement(a)),a),
inference(forward_demodulation,[],[f123859,f50]) ).
fof(f50,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f40,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f40,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(f123859,plain,
meet(zero,b) = meet(join(complement(b),complement(a)),a),
inference(forward_demodulation,[],[f123658,f5]) ).
fof(f123658,plain,
meet(b,zero) = meet(join(complement(b),complement(a)),a),
inference(superposition,[],[f4090,f16862]) ).
fof(f16862,plain,
zero = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f16861,f10]) ).
fof(f16861,plain,
meet(a,complement(a)) = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f16860,f20]) ).
fof(f16860,plain,
meet(a,join(complement(a),zero)) = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f16859,f40]) ).
fof(f16859,plain,
join(zero,meet(a,join(complement(a),zero))) = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f16660,f6]) ).
fof(f16660,plain,
join(zero,meet(a,join(complement(a),zero))) = meet(a,join(complement(a),complement(b))),
inference(superposition,[],[f489,f7111]) ).
fof(f7111,plain,
zero = meet(a,complement(b)),
inference(superposition,[],[f1280,f67]) ).
fof(f67,plain,
! [X0] : meet(a,X0) = meet(b,meet(a,X0)),
inference(superposition,[],[f7,f13]) ).
fof(f13,axiom,
a = meet(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
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(f1280,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(superposition,[],[f1161,f5]) ).
fof(f1161,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f63,f50]) ).
fof(f63,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f489,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = join(meet(X0,X1),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f411,f20]) ).
fof(f411,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = join(meet(X0,join(X1,zero)),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(superposition,[],[f12,f10]) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X2,meet(X0,X1))),meet(X0,join(X1,meet(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H69) ).
fof(f4090,plain,
! [X0] : meet(b,meet(a,X0)) = meet(X0,a),
inference(superposition,[],[f69,f13]) ).
fof(f69,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f7,f5]) ).
fof(f242,plain,
! [X2,X0,X1] :
( zero != meet(join(X0,X1),X2)
| complement(join(X0,X1)) = X2
| join(X0,join(X1,X2)) != one ),
inference(superposition,[],[f11,f8]) ).
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(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(f6446,plain,
! [X0] : complement(complement(X0)) = X0,
inference(subsumption_resolution,[],[f6443,f3641]) ).
fof(f3641,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f3640,f50]) ).
fof(f3640,plain,
! [X0] : meet(complement(X0),X0) = meet(zero,complement(X0)),
inference(forward_demodulation,[],[f3522,f5]) ).
fof(f3522,plain,
! [X0] : meet(complement(X0),X0) = meet(complement(X0),zero),
inference(superposition,[],[f68,f1161]) ).
fof(f68,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,meet(X0,X1))),
inference(superposition,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f6443,plain,
! [X0] :
( complement(complement(X0)) = X0
| zero != meet(complement(X0),X0) ),
inference(trivial_inequality_removal,[],[f6397]) ).
fof(f6397,plain,
! [X0] :
( one != one
| complement(complement(X0)) = X0
| zero != meet(complement(X0),X0) ),
inference(superposition,[],[f11,f6363]) ).
fof(f6363,plain,
! [X0] : one = join(complement(X0),X0),
inference(forward_demodulation,[],[f6362,f33]) ).
fof(f6362,plain,
! [X0] : join(complement(X0),X0) = join(one,complement(X0)),
inference(forward_demodulation,[],[f6264,f6]) ).
fof(f6264,plain,
! [X0] : join(complement(X0),X0) = join(complement(X0),one),
inference(superposition,[],[f122,f137]) ).
fof(f137,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f115,f33]) ).
fof(f115,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f122,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,join(X0,X1))),
inference(superposition,[],[f8,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT251-1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.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 : Mon Apr 29 22:20:25 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3681)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (3684)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3683)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (3685)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3682)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3688)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)
% 0.14/0.38 % (3684)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)
% 0.14/0.38 % (3687)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)
% 0.14/0.38 % (3686)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.21/0.43 TRYING [4]
% 0.21/0.45 TRYING [5]
% 0.21/0.51 TRYING [5]
% 0.21/0.57 TRYING [6]
% 1.96/0.72 TRYING [6]
% 3.16/0.86 TRYING [7]
% 5.87/1.19 TRYING [7]
% 7.88/1.48 TRYING [1]
% 7.88/1.48 TRYING [2]
% 7.88/1.48 TRYING [3]
% 7.97/1.49 TRYING [4]
% 7.97/1.51 TRYING [8]
% 8.28/1.53 TRYING [5]
% 8.86/1.67 TRYING [6]
% 12.42/2.20 TRYING [7]
% 13.09/2.24 TRYING [8]
% 18.77/3.04 TRYING [9]
% 19.99/3.22 TRYING [8]
% 27.98/4.40 % (3684)First to succeed.
% 28.42/4.40 % (3684)Refutation found. Thanks to Tanya!
% 28.42/4.40 % SZS status Unsatisfiable for theBenchmark
% 28.42/4.40 % SZS output start Proof for theBenchmark
% See solution above
% 28.42/4.40 % (3684)------------------------------
% 28.42/4.40 % (3684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 28.42/4.40 % (3684)Termination reason: Refutation
% 28.42/4.40
% 28.42/4.40 % (3684)Memory used [KB]: 54489
% 28.42/4.40 % (3684)Time elapsed: 4.022 s
% 28.42/4.40 % (3684)Instructions burned: 16034 (million)
% 28.42/4.40 % (3684)------------------------------
% 28.42/4.40 % (3684)------------------------------
% 28.42/4.40 % (3681)Success in time 3.991 s
%------------------------------------------------------------------------------