TSTP Solution File: LCL140-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL140-1 : 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 : 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 : Tue Apr 30 13:40:37 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3562,plain,
$false,
inference(trivial_inequality_removal,[],[f3534]) ).
fof(f3534,plain,
x != x,
inference(superposition,[],[f5,f3503]) ).
fof(f3503,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f3502,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f3502,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f3501,f3097]) ).
fof(f3097,plain,
! [X0] : truth = implies(not(not(X0)),X0),
inference(superposition,[],[f2978,f1]) ).
fof(f2978,plain,
! [X0] : truth = implies(truth,implies(not(not(X0)),X0)),
inference(superposition,[],[f1464,f1]) ).
fof(f1464,plain,
! [X0,X1] : truth = implies(truth,implies(not(not(X0)),implies(X1,X0))),
inference(superposition,[],[f74,f1166]) ).
fof(f1166,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(forward_demodulation,[],[f1081,f1]) ).
fof(f1081,plain,
! [X0,X1] : truth = implies(not(X1),implies(truth,implies(X1,X0))),
inference(superposition,[],[f752,f4]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f752,plain,
! [X2,X0,X1] : truth = implies(X2,implies(implies(implies(X1,X2),X0),X0)),
inference(superposition,[],[f668,f3]) ).
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(f668,plain,
! [X2,X0,X1] : truth = implies(X0,implies(X1,implies(X2,X0))),
inference(superposition,[],[f432,f1]) ).
fof(f432,plain,
! [X2,X0,X1] : truth = implies(truth,implies(X0,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f318,f251]) ).
fof(f251,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(superposition,[],[f229,f1]) ).
fof(f229,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
inference(forward_demodulation,[],[f45,f192]) ).
fof(f192,plain,
! [X0] : truth = implies(X0,truth),
inference(forward_demodulation,[],[f124,f143]) ).
fof(f143,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f127,f1]) ).
fof(f127,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f71,f1]) ).
fof(f71,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f36,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f2,f1]) ).
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(f124,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f71,f6]) ).
fof(f6,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f45,plain,
! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,X0))),
inference(superposition,[],[f2,f1]) ).
fof(f318,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(X2,implies(X1,X0))),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f309,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(truth,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f2,f251]) ).
fof(f74,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(not(X0),not(X1))),implies(X2,implies(X1,X0))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(not(X0),not(X1))),implies(truth,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f2,f4]) ).
fof(f3501,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f3464,f1]) ).
fof(f3464,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f3377]) ).
fof(f3377,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(superposition,[],[f3141,f1]) ).
fof(f3141,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(forward_demodulation,[],[f3099,f1]) ).
fof(f3099,plain,
! [X0] : truth = implies(truth,implies(truth,implies(X0,not(not(X0))))),
inference(superposition,[],[f74,f2978]) ).
fof(f5,axiom,
x != not(not(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL140-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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 23:09:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (3839)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3845)WARNING: value z3 for option sas not known
% 0.14/0.37 % (3846)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (3843)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (3844)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (3847)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)
% 0.14/0.37 % (3845)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)
% 0.14/0.37 % (3848)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)
% 0.14/0.37 % (3849)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [5]
% 0.14/0.40 TRYING [4]
% 0.14/0.42 TRYING [6]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 % (3845)First to succeed.
% 0.21/0.45 % (3849)Also succeeded, but the first one will report.
% 0.21/0.45 % (3845)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (3845)------------------------------
% 0.21/0.45 % (3845)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (3845)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (3845)Memory used [KB]: 1804
% 0.21/0.45 % (3845)Time elapsed: 0.076 s
% 0.21/0.45 % (3845)Instructions burned: 143 (million)
% 0.21/0.45 % (3845)------------------------------
% 0.21/0.45 % (3845)------------------------------
% 0.21/0.45 % (3839)Success in time 0.092 s
%------------------------------------------------------------------------------