TSTP Solution File: LCL114-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL114-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Fri Sep 1 17:19:01 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 67 (; 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6673,plain,
$false,
inference(trivial_inequality_removal,[],[f6625]) ).
fof(f6625,plain,
truth != truth,
inference(superposition,[],[f5,f4313]) ).
fof(f4313,plain,
! [X11,X12] : truth = implies(implies(X12,X11),implies(not(X11),not(X12))),
inference(forward_demodulation,[],[f4234,f4154]) ).
fof(f4154,plain,
! [X11] : implies(X11,not(truth)) = not(X11),
inference(superposition,[],[f2621,f4113]) ).
fof(f4113,plain,
! [X13] : implies(not(X13),not(truth)) = X13,
inference(forward_demodulation,[],[f4112,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.T7m2cGVEy8/Vampire---4.8_28311',wajsberg_1) ).
fof(f4112,plain,
! [X13] : implies(truth,X13) = implies(not(X13),not(truth)),
inference(forward_demodulation,[],[f4111,f20]) ).
fof(f20,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.T7m2cGVEy8/Vampire---4.8_28311',wajsberg_4) ).
fof(f4111,plain,
! [X13] : implies(not(X13),not(truth)) = implies(implies(implies(not(X13),not(truth)),X13),X13),
inference(forward_demodulation,[],[f4074,f1]) ).
fof(f4074,plain,
! [X13] : implies(implies(implies(not(X13),not(truth)),X13),X13) = implies(truth,implies(not(X13),not(truth))),
inference(superposition,[],[f3,f3990]) ).
fof(f3990,plain,
! [X1] : truth = implies(X1,implies(not(X1),not(truth))),
inference(superposition,[],[f2777,f1]) ).
fof(f2777,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f4,f2756]) ).
fof(f2756,plain,
! [X25] : truth = implies(not(implies(X25,not(truth))),X25),
inference(forward_demodulation,[],[f2755,f1]) ).
fof(f2755,plain,
! [X25] : truth = implies(implies(truth,not(implies(X25,not(truth)))),X25),
inference(forward_demodulation,[],[f2725,f2559]) ).
fof(f2559,plain,
truth = not(not(truth)),
inference(superposition,[],[f2473,f1993]) ).
fof(f1993,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[],[f1992,f1]) ).
fof(f1992,plain,
implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))),
inference(forward_demodulation,[],[f1902,f156]) ).
fof(f156,plain,
! [X2] : truth = implies(X2,X2),
inference(forward_demodulation,[],[f139,f1]) ).
fof(f139,plain,
! [X2] : truth = implies(implies(truth,X2),X2),
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/tmp/tmp.T7m2cGVEy8/Vampire---4.8_28311',wajsberg_2) ).
fof(f1902,plain,
implies(not(truth),not(not(truth))) = implies(implies(not(truth),not(truth)),not(not(truth))),
inference(superposition,[],[f1453,f1535]) ).
fof(f1535,plain,
not(truth) = implies(not(not(truth)),not(truth)),
inference(forward_demodulation,[],[f1457,f1]) ).
fof(f1457,plain,
implies(not(not(truth)),not(truth)) = implies(truth,not(truth)),
inference(superposition,[],[f506,f20]) ).
fof(f506,plain,
! [X16,X15] : implies(X16,X15) = implies(implies(implies(X16,X15),X15),X15),
inference(forward_demodulation,[],[f496,f1]) ).
fof(f496,plain,
! [X16,X15] : implies(implies(implies(X16,X15),X15),X15) = implies(truth,implies(X16,X15)),
inference(superposition,[],[f3,f431]) ).
fof(f431,plain,
! [X2,X3] : truth = implies(X2,implies(X3,X2)),
inference(superposition,[],[f226,f1]) ).
fof(f226,plain,
! [X0,X1] : truth = implies(truth,implies(X1,implies(X0,X1))),
inference(forward_demodulation,[],[f225,f1]) ).
fof(f225,plain,
! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
inference(forward_demodulation,[],[f217,f156]) ).
fof(f217,plain,
! [X0,X1] : truth = implies(truth,implies(implies(implies(X0,X0),X1),implies(X0,X1))),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
! [X4] : truth = implies(X4,implies(X4,X4)),
inference(superposition,[],[f71,f6]) ).
fof(f6,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f1453,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
inference(superposition,[],[f506,f3]) ).
fof(f2473,plain,
! [X22] : truth = implies(not(truth),X22),
inference(superposition,[],[f2436,f1]) ).
fof(f2436,plain,
! [X22,X23] : truth = implies(not(X23),implies(X23,X22)),
inference(forward_demodulation,[],[f2305,f1]) ).
fof(f2305,plain,
! [X22,X23] : truth = implies(not(X23),implies(truth,implies(X23,X22))),
inference(superposition,[],[f1787,f4]) ).
fof(f1787,plain,
! [X41,X42,X43] : truth = implies(X43,implies(implies(implies(X42,X43),X41),X41)),
inference(superposition,[],[f1657,f3]) ).
fof(f1657,plain,
! [X3,X4,X5] : truth = implies(X3,implies(X4,implies(X5,X3))),
inference(superposition,[],[f1227,f1]) ).
fof(f1227,plain,
! [X18,X19,X17] : truth = implies(truth,implies(X17,implies(X19,implies(X18,X17)))),
inference(superposition,[],[f504,f431]) ).
fof(f504,plain,
! [X10,X11,X9] : truth = implies(implies(X11,X9),implies(X11,implies(X10,X9))),
inference(forward_demodulation,[],[f494,f1]) ).
fof(f494,plain,
! [X10,X11,X9] : truth = implies(implies(X11,X9),implies(truth,implies(X11,implies(X10,X9)))),
inference(superposition,[],[f2,f431]) ).
fof(f2725,plain,
! [X25] : truth = implies(implies(not(not(truth)),not(implies(X25,not(truth)))),X25),
inference(superposition,[],[f4,f2621]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.T7m2cGVEy8/Vampire---4.8_28311',wajsberg_3) ).
fof(f2621,plain,
! [X10] : implies(implies(X10,not(truth)),not(truth)) = X10,
inference(forward_demodulation,[],[f2574,f1]) ).
fof(f2574,plain,
! [X10] : implies(truth,X10) = implies(implies(X10,not(truth)),not(truth)),
inference(superposition,[],[f3,f2473]) ).
fof(f4234,plain,
! [X11,X12] : truth = implies(implies(X12,X11),implies(not(X11),implies(X12,not(truth)))),
inference(superposition,[],[f2,f4154]) ).
fof(f5,axiom,
truth != implies(implies(x,y),implies(not(y),not(x))),
file('/export/starexec/sandbox2/tmp/tmp.T7m2cGVEy8/Vampire---4.8_28311',prove_mv_36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL114-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n009.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 : Wed Aug 30 14:41:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.41 % (28538)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28541)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (28542)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (28543)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (28544)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (28545)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (28546)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (28547)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 TRYING [4]
% 0.21/0.51 TRYING [6]
% 0.21/0.53 % (28547)First to succeed.
% 0.21/0.53 % (28547)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.53 % (28547)------------------------------
% 0.21/0.53 % (28547)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.53 % (28547)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.53 % (28547)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (28547)Memory used [KB]: 4093
% 0.21/0.53 % (28547)Time elapsed: 0.113 s
% 0.21/0.53 % (28547)------------------------------
% 0.21/0.53 % (28547)------------------------------
% 0.21/0.53 % (28538)Success in time 0.171 s
% 0.21/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------