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 --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 17:18:59 EDT 2023
% Result : Unsatisfiable 88.63s 13.05s
% Output : Refutation 88.63s
% 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(f175639,plain,
$false,
inference(trivial_inequality_removal,[],[f175257]) ).
fof(f175257,plain,
truth != truth,
inference(superposition,[],[f455,f72903]) ).
fof(f72903,plain,
! [X4,X5] : truth = implies(implies(X4,implies(implies(X5,X4),X5)),implies(X4,X5)),
inference(forward_demodulation,[],[f72902,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',lemma_7) ).
fof(f72902,plain,
! [X4,X5] : truth = implies(implies(implies(X5,X4),implies(X4,X5)),implies(X4,X5)),
inference(forward_demodulation,[],[f71979,f13]) ).
fof(f13,axiom,
! [X0] : not(not(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',lemma_9) ).
fof(f71979,plain,
! [X4,X5] : truth = implies(implies(implies(X5,X4),not(not(implies(X4,X5)))),implies(X4,X5)),
inference(superposition,[],[f809,f6633]) ).
fof(f6633,plain,
! [X111,X112] : implies(implies(X112,not(implies(X112,X111))),not(implies(X111,X112))) = X111,
inference(forward_demodulation,[],[f6632,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',wajsberg_1) ).
fof(f6632,plain,
! [X111,X112] : implies(truth,X111) = implies(implies(X112,not(implies(X112,X111))),not(implies(X111,X112))),
inference(forward_demodulation,[],[f6631,f60]) ).
fof(f60,plain,
! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
inference(superposition,[],[f42,f13]) ).
fof(f42,plain,
! [X3,X4] : truth = implies(not(X4),implies(X4,X3)),
inference(superposition,[],[f8,f14]) ).
fof(f14,axiom,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
file('/export/starexec/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',lemma_10) ).
fof(f8,axiom,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
file('/export/starexec/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',lemma_4) ).
fof(f6631,plain,
! [X111,X112] : implies(implies(X112,not(implies(X112,X111))),not(implies(X111,X112))) = implies(implies(X111,implies(not(X111),X112)),X111),
inference(forward_demodulation,[],[f6630,f11]) ).
fof(f6630,plain,
! [X111,X112] : implies(implies(X112,not(implies(X112,X111))),not(implies(X111,X112))) = implies(implies(not(X111),implies(X111,X112)),X111),
inference(forward_demodulation,[],[f6629,f13]) ).
fof(f6629,plain,
! [X111,X112] : implies(implies(not(X111),implies(X111,X112)),not(not(X111))) = implies(implies(X112,not(implies(X112,X111))),not(implies(X111,X112))),
inference(forward_demodulation,[],[f6396,f34]) ).
fof(f34,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f14,f13]) ).
fof(f6396,plain,
! [X111,X112] : implies(implies(not(X111),implies(X111,X112)),not(not(X111))) = implies(implies(implies(X112,X111),not(X112)),not(implies(X111,X112))),
inference(superposition,[],[f262,f262]) ).
fof(f262,plain,
! [X24,X23] : implies(implies(X24,X23),not(X24)) = implies(implies(X23,X24),not(X23)),
inference(forward_demodulation,[],[f212,f14]) ).
fof(f212,plain,
! [X24,X23] : implies(implies(not(X24),not(X23)),not(X23)) = implies(implies(X24,X23),not(X24)),
inference(superposition,[],[f3,f14]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',wajsberg_3) ).
fof(f809,plain,
! [X58,X56,X57] : truth = implies(implies(X58,not(X56)),implies(X57,implies(implies(X57,X56),not(X58)))),
inference(forward_demodulation,[],[f736,f415]) ).
fof(f415,plain,
! [X44,X42,X43] : implies(X42,implies(X44,not(X43))) = implies(X44,implies(X43,not(X42))),
inference(superposition,[],[f11,f34]) ).
fof(f736,plain,
! [X58,X56,X57] : truth = implies(implies(X58,not(X56)),implies(implies(X57,X56),implies(X58,not(X57)))),
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/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',wajsberg_2) ).
fof(f455,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/sandbox/tmp/tmp.OQwTZd44Uy/Vampire---4.8_10103',prove_wajsberg_mv_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : LCL109-3 : 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
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 14:21:44 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.41 % (10220)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (10221)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (10222)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (10224)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (10223)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)
% 0.22/0.42 % (10225)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)
% 0.22/0.42 % (10226)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)
% 0.22/0.42 % (10227)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)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.45 TRYING [5]
% 0.22/0.47 TRYING [4]
% 0.22/0.52 TRYING [6]
% 0.22/0.56 TRYING [5]
% 0.22/0.62 TRYING [7]
% 2.14/0.70 TRYING [6]
% 2.89/0.82 TRYING [8]
% 4.25/1.03 TRYING [7]
% 5.45/1.26 TRYING [9]
% 7.82/1.52 TRYING [1]
% 7.82/1.52 TRYING [2]
% 7.82/1.52 TRYING [3]
% 7.82/1.52 TRYING [4]
% 8.00/1.54 TRYING [5]
% 8.00/1.61 TRYING [6]
% 9.15/1.72 TRYING [8]
% 9.67/1.77 TRYING [7]
% 11.50/2.05 TRYING [10]
% 11.97/2.13 TRYING [8]
% 17.84/2.98 TRYING [9]
% 20.49/3.31 TRYING [9]
% 23.44/3.87 TRYING [11]
% 30.49/4.73 TRYING [10]
% 47.64/7.20 TRYING [10]
% 50.81/7.72 TRYING [12]
% 63.43/9.44 TRYING [11]
% 88.63/13.02 % (10226)First to succeed.
% 88.63/13.05 % (10226)Refutation found. Thanks to Tanya!
% 88.63/13.05 % SZS status Unsatisfiable for Vampire---4
% 88.63/13.05 % SZS output start Proof for Vampire---4
% See solution above
% 88.63/13.05 % (10226)------------------------------
% 88.63/13.05 % (10226)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 88.63/13.05 % (10226)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 88.63/13.05 % (10226)Termination reason: Refutation
% 88.63/13.05
% 88.63/13.05 % (10226)Memory used [KB]: 498030
% 88.63/13.05 % (10226)Time elapsed: 12.598 s
% 88.63/13.05 % (10226)------------------------------
% 88.63/13.05 % (10226)------------------------------
% 88.63/13.05 % (10220)Success in time 12.614 s
% 88.63/13.05 % Vampire---4.8 exiting
%------------------------------------------------------------------------------