TSTP Solution File: LCL109-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 30.59s 4.70s
% Output : Refutation 30.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128557,plain,
$false,
inference(trivial_inequality_removal,[],[f128215]) ).
fof(f128215,plain,
truth != truth,
inference(superposition,[],[f4861,f54512]) ).
fof(f54512,plain,
! [X0,X1] : truth = implies(implies(X0,implies(implies(X1,X0),X1)),implies(X0,X1)),
inference(forward_demodulation,[],[f54511,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] : implies(X3,implies(X4,X5)) = implies(X4,implies(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
fof(f54511,plain,
! [X0,X1] : truth = implies(implies(implies(X1,X0),implies(X0,X1)),implies(X0,X1)),
inference(forward_demodulation,[],[f54510,f14]) ).
fof(f14,axiom,
! [X3] : not(not(X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
fof(f54510,plain,
! [X0,X1] : truth = implies(implies(implies(X1,X0),not(not(implies(X0,X1)))),implies(X0,X1)),
inference(forward_demodulation,[],[f53686,f35]) ).
fof(f35,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f15,f14]) ).
fof(f15,axiom,
! [X3,X4] : implies(X4,X3) = implies(not(X3),not(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10) ).
fof(f53686,plain,
! [X0,X1] : truth = implies(implies(not(implies(X0,X1)),not(implies(X1,X0))),implies(X0,X1)),
inference(superposition,[],[f18,f29044]) ).
fof(f29044,plain,
! [X0,X1] : implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))) = X0,
inference(forward_demodulation,[],[f29043,f2]) ).
fof(f2,axiom,
! [X3] : implies(truth,X3) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f29043,plain,
! [X0,X1] : implies(truth,X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[],[f29042,f48]) ).
fof(f48,plain,
! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
inference(superposition,[],[f45,f14]) ).
fof(f45,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(superposition,[],[f9,f15]) ).
fof(f9,axiom,
! [X3,X4] : truth = implies(X3,implies(X4,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f29042,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,[],[f29041,f12]) ).
fof(f29041,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,[],[f29040,f14]) ).
fof(f29040,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,[],[f28534,f35]) ).
fof(f28534,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,[],[f227,f227]) ).
fof(f227,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[],[f183,f15]) ).
fof(f183,plain,
! [X0,X1] : implies(implies(not(X1),not(X0)),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X3,X4] : implies(implies(X3,X4),X4) = implies(implies(X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f18,plain,
! [X3,X4,X5] : truth = implies(implies(X3,X4),implies(X5,implies(implies(X5,X3),X4))),
inference(forward_demodulation,[],[f11,f12]) ).
fof(f11,axiom,
! [X3,X4,X5] : truth = implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6) ).
fof(f4861,plain,
truth != implies(implies(b,implies(implies(a,b),a)),implies(b,a)),
inference(superposition,[],[f16,f12]) ).
fof(f16,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
% 0.00/0.09 % Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 13:46:27 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % (6204)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (6207)WARNING: value z3 for option sas not known
% 0.15/0.33 % (6211)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)
% 0.15/0.33 % (6210)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)
% 0.15/0.33 % (6208)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (6205)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (6207)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)
% 0.15/0.33 % (6206)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (6209)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 TRYING [3]
% 0.15/0.37 TRYING [5]
% 0.15/0.39 TRYING [4]
% 0.15/0.46 TRYING [6]
% 0.15/0.51 TRYING [5]
% 2.31/0.69 TRYING [7]
% 3.90/0.86 TRYING [6]
% 6.34/1.23 TRYING [8]
% 7.56/1.43 TRYING [1]
% 7.56/1.43 TRYING [2]
% 7.56/1.43 TRYING [3]
% 7.56/1.44 TRYING [4]
% 8.09/1.48 TRYING [5]
% 9.31/1.65 TRYING [6]
% 10.65/1.85 TRYING [7]
% 12.40/2.08 TRYING [7]
% 14.83/2.47 TRYING [9]
% 20.19/3.25 TRYING [8]
% 25.77/4.08 TRYING [8]
% 30.59/4.69 % (6211)First to succeed.
% 30.59/4.70 % (6211)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6204"
% 30.59/4.70 % (6211)Refutation found. Thanks to Tanya!
% 30.59/4.70 % SZS status Unsatisfiable for theBenchmark
% 30.59/4.70 % SZS output start Proof for theBenchmark
% See solution above
% 30.59/4.70 % (6211)------------------------------
% 30.59/4.70 % (6211)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.59/4.70 % (6211)Termination reason: Refutation
% 30.59/4.70
% 30.59/4.70 % (6211)Memory used [KB]: 53036
% 30.59/4.70 % (6211)Time elapsed: 4.369 s
% 30.59/4.70 % (6211)Instructions burned: 9170 (million)
% 30.59/4.70 % (6204)Success in time 4.331 s
%------------------------------------------------------------------------------