TSTP Solution File: LCL114-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : 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 : Thu Aug 31 08:21:55 EDT 2023
% Result : Unsatisfiable 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 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 : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f879,plain,
$false,
inference(trivial_inequality_removal,[],[f878]) ).
fof(f878,plain,
truth != truth,
inference(backward_demodulation,[],[f5,f875]) ).
fof(f875,plain,
! [X2,X3] : truth = implies(implies(X3,X2),implies(not(X2),not(X3))),
inference(forward_demodulation,[],[f842,f765]) ).
fof(f765,plain,
! [X2] : not(X2) = implies(X2,not(truth)),
inference(superposition,[],[f457,f739]) ).
fof(f739,plain,
! [X1] : implies(not(X1),not(truth)) = X1,
inference(forward_demodulation,[],[f738,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.fgPbbzfjQS/Vampire---4.8_7691',wajsberg_1) ).
fof(f738,plain,
! [X1] : implies(truth,implies(not(X1),not(truth))) = X1,
inference(backward_demodulation,[],[f43,f736]) ).
fof(f736,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f717,f1]) ).
fof(f717,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f4,f604]) ).
fof(f604,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(forward_demodulation,[],[f603,f1]) ).
fof(f603,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f602,f1]) ).
fof(f602,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),implies(truth,X0)),
inference(forward_demodulation,[],[f550,f404]) ).
fof(f404,plain,
! [X9] : truth = implies(not(truth),X9),
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
! [X9] : truth = implies(truth,implies(not(truth),X9)),
inference(superposition,[],[f254,f26]) ).
fof(f26,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f254,plain,
! [X2,X3,X1] : truth = implies(implies(implies(X2,X1),X3),implies(X1,X3)),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f248,plain,
! [X2,X3,X1] : truth = implies(truth,implies(implies(implies(X2,X1),X3),implies(X1,X3))),
inference(superposition,[],[f2,f187]) ).
fof(f187,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(forward_demodulation,[],[f175,f1]) ).
fof(f175,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
inference(backward_demodulation,[],[f59,f174]) ).
fof(f174,plain,
! [X4] : truth = implies(X4,truth),
inference(forward_demodulation,[],[f141,f152]) ).
fof(f152,plain,
! [X2] : truth = implies(X2,X2),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f129,plain,
! [X2] : truth = implies(truth,implies(X2,X2)),
inference(superposition,[],[f81,f1]) ).
fof(f81,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f51,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f2,f1]) ).
fof(f141,plain,
! [X4] : truth = implies(X4,implies(X4,X4)),
inference(superposition,[],[f81,f6]) ).
fof(f6,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.fgPbbzfjQS/Vampire---4.8_7691',wajsberg_3) ).
fof(f59,plain,
! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,X0))),
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.fgPbbzfjQS/Vampire---4.8_7691',wajsberg_2) ).
fof(f550,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),implies(implies(not(truth),X0),X0)),
inference(superposition,[],[f27,f406]) ).
fof(f406,plain,
truth = not(not(truth)),
inference(backward_demodulation,[],[f191,f404]) ).
fof(f191,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f189,plain,
not(not(truth)) = implies(truth,implies(not(truth),not(not(truth)))),
inference(backward_demodulation,[],[f49,f187]) ).
fof(f49,plain,
not(not(truth)) = implies(implies(not(not(truth)),implies(not(truth),not(not(truth)))),implies(not(truth),not(not(truth)))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f47,plain,
implies(implies(not(not(truth)),implies(not(truth),not(not(truth)))),implies(not(truth),not(not(truth)))) = implies(truth,not(not(truth))),
inference(superposition,[],[f3,f35]) ).
fof(f35,plain,
truth = implies(implies(not(truth),not(not(truth))),not(not(truth))),
inference(superposition,[],[f26,f3]) ).
fof(f27,plain,
! [X2,X1] : truth = implies(implies(not(X2),not(implies(X1,X2))),implies(implies(X2,X1),X1)),
inference(superposition,[],[f4,f3]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.fgPbbzfjQS/Vampire---4.8_7691',wajsberg_4) ).
fof(f43,plain,
! [X1] : implies(implies(X1,implies(not(X1),not(truth))),implies(not(X1),not(truth))) = X1,
inference(forward_demodulation,[],[f40,f1]) ).
fof(f40,plain,
! [X1] : implies(truth,X1) = implies(implies(X1,implies(not(X1),not(truth))),implies(not(X1),not(truth))),
inference(superposition,[],[f3,f26]) ).
fof(f457,plain,
! [X7] : implies(implies(X7,not(truth)),not(truth)) = X7,
inference(forward_demodulation,[],[f445,f1]) ).
fof(f445,plain,
! [X7] : implies(truth,X7) = implies(implies(X7,not(truth)),not(truth)),
inference(superposition,[],[f3,f404]) ).
fof(f842,plain,
! [X2,X3] : truth = implies(implies(X3,X2),implies(not(X2),implies(X3,not(truth)))),
inference(superposition,[],[f2,f765]) ).
fof(f5,axiom,
truth != implies(implies(x,y),implies(not(y),not(x))),
file('/export/starexec/sandbox2/tmp/tmp.fgPbbzfjQS/Vampire---4.8_7691',prove_mv_36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL114-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n026.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 : Thu Aug 24 18:15:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.fgPbbzfjQS/Vampire---4.8_7691
% 0.14/0.37 % (7957)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (7964)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.23/0.46 % (7958)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.46 % (7962)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.23/0.46 % (7960)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.46 % (7963)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.23/0.46 % (7961)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.23/0.46 % (7959)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.23/0.48 % (7961)First to succeed.
% 0.23/0.48 % (7961)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48 % (7961)------------------------------
% 0.23/0.48 % (7961)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (7961)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (7961)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (7961)Memory used [KB]: 1407
% 0.23/0.48 % (7961)Time elapsed: 0.024 s
% 0.23/0.48 % (7961)------------------------------
% 0.23/0.48 % (7961)------------------------------
% 0.23/0.48 % (7957)Success in time 0.107 s
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------