TSTP Solution File: LCL109-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 07:44:04 EDT 2024
% Result : Unsatisfiable 77.82s 11.53s
% Output : Refutation 77.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162051,plain,
$false,
inference(trivial_inequality_removal,[],[f161678]) ).
fof(f161678,plain,
truth != truth,
inference(superposition,[],[f451,f69124]) ).
fof(f69124,plain,
! [X0,X1] : truth = implies(implies(X0,implies(implies(X1,X0),X1)),implies(X0,X1)),
inference(forward_demodulation,[],[f69123,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
fof(f69123,plain,
! [X0,X1] : truth = implies(implies(implies(X1,X0),implies(X0,X1)),implies(X0,X1)),
inference(forward_demodulation,[],[f68221,f13]) ).
fof(f13,axiom,
! [X0] : not(not(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
fof(f68221,plain,
! [X0,X1] : truth = implies(implies(implies(X1,X0),not(not(implies(X0,X1)))),implies(X0,X1)),
inference(superposition,[],[f805,f6633]) ).
fof(f6633,plain,
! [X0,X1] : implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))) = X0,
inference(forward_demodulation,[],[f6632,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f6632,plain,
! [X0,X1] : implies(truth,X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[],[f6631,f60]) ).
fof(f60,plain,
! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
inference(superposition,[],[f42,f13]) ).
fof(f42,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(superposition,[],[f8,f14]) ).
fof(f14,axiom,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10) ).
fof(f8,axiom,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f6631,plain,
! [X0,X1] : implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))) = implies(implies(X0,implies(not(X0),X1)),X0),
inference(forward_demodulation,[],[f6630,f11]) ).
fof(f6630,plain,
! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[],[f6629,f13]) ).
fof(f6629,plain,
! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),not(not(X0))) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[],[f6395,f34]) ).
fof(f34,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f14,f13]) ).
fof(f6395,plain,
! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),not(not(X0))) = implies(implies(implies(X1,X0),not(X1)),not(implies(X0,X1))),
inference(superposition,[],[f260,f260]) ).
fof(f260,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[],[f212,f14]) ).
fof(f212,plain,
! [X0,X1] : implies(implies(not(X1),not(X0)),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(superposition,[],[f3,f14]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f805,plain,
! [X2,X0,X1] : truth = implies(implies(X2,not(X0)),implies(X1,implies(implies(X1,X0),not(X2)))),
inference(forward_demodulation,[],[f732,f411]) ).
fof(f411,plain,
! [X2,X0,X1] : implies(X0,implies(X2,not(X1))) = implies(X2,implies(X1,not(X0))),
inference(superposition,[],[f11,f34]) ).
fof(f732,plain,
! [X2,X0,X1] : truth = implies(implies(X2,not(X0)),implies(implies(X1,X0),implies(X2,not(X1)))),
inference(superposition,[],[f2,f14]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f451,plain,
truth != implies(implies(b,implies(implies(a,b),a)),implies(b,a)),
inference(superposition,[],[f15,f11]) ).
fof(f15,axiom,
truth != implies(implies(implies(a,b),implies(b,a)),implies(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_mv_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 13:30:05 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (6441)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (6446)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 % (6447)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 % (6445)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (6444)WARNING: value z3 for option sas not known
% 0.14/0.39 % (6444)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)
% 0.14/0.39 % (6442)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [4]
% 0.14/0.40 % (6443)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 % (6448)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)
% 0.23/0.40 TRYING [3]
% 0.23/0.43 TRYING [4]
% 0.23/0.44 TRYING [5]
% 0.23/0.49 TRYING [5]
% 0.23/0.51 TRYING [6]
% 0.23/0.60 TRYING [7]
% 1.92/0.67 TRYING [6]
% 2.82/0.82 TRYING [8]
% 4.48/1.03 TRYING [7]
% 5.91/1.22 TRYING [9]
% 7.65/1.47 TRYING [1]
% 7.65/1.47 TRYING [2]
% 7.65/1.47 TRYING [3]
% 7.65/1.48 TRYING [4]
% 7.65/1.50 TRYING [5]
% 8.30/1.57 TRYING [6]
% 9.78/1.76 TRYING [7]
% 9.85/1.77 TRYING [8]
% 12.50/2.19 TRYING [10]
% 13.04/2.24 TRYING [8]
% 19.80/3.26 TRYING [9]
% 22.53/3.63 TRYING [9]
% 27.80/4.35 TRYING [11]
% 34.29/5.28 TRYING [10]
% 51.57/7.74 TRYING [10]
% 57.36/8.57 TRYING [12]
% 71.88/10.64 TRYING [11]
% 77.82/11.50 % (6447)First to succeed.
% 77.82/11.51 % (6447)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6441"
% 77.82/11.53 % (6447)Refutation found. Thanks to Tanya!
% 77.82/11.53 % SZS status Unsatisfiable for theBenchmark
% 77.82/11.53 % SZS output start Proof for theBenchmark
% See solution above
% 77.82/11.53 % (6447)------------------------------
% 77.82/11.53 % (6447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 77.82/11.53 % (6447)Termination reason: Refutation
% 77.82/11.53
% 77.82/11.53 % (6447)Memory used [KB]: 147255
% 77.82/11.53 % (6447)Time elapsed: 11.139 s
% 77.82/11.53 % (6447)Instructions burned: 28542 (million)
% 77.82/11.53 % (6441)Success in time 11.091 s
%------------------------------------------------------------------------------