TSTP Solution File: LCL109-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n005.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 08:21:52 EDT 2023
% Result : Unsatisfiable 72.81s 11.00s
% Output : Refutation 72.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 46 (; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171988,plain,
$false,
inference(trivial_inequality_removal,[],[f171987]) ).
fof(f171987,plain,
truth != truth,
inference(forward_demodulation,[],[f171570,f205]) ).
fof(f205,plain,
! [X4,X5] : truth = implies(X5,implies(implies(X5,X4),X4)),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',wajsberg_3) ).
fof(f8,axiom,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',lemma_4) ).
fof(f171570,plain,
truth != implies(a,implies(implies(a,b),b)),
inference(superposition,[],[f1796,f170945]) ).
fof(f170945,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,implies(implies(X0,X1),X0)),
inference(forward_demodulation,[],[f170944,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',wajsberg_1) ).
fof(f170944,plain,
! [X0,X1] : implies(X1,implies(truth,X0)) = implies(X1,implies(implies(X0,X1),X0)),
inference(forward_demodulation,[],[f170943,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',lemma_7) ).
fof(f170943,plain,
! [X0,X1] : implies(X1,implies(truth,X0)) = implies(implies(X0,X1),implies(X1,X0)),
inference(forward_demodulation,[],[f169880,f8]) ).
fof(f169880,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X1,X0)) = implies(X1,implies(implies(X1,implies(X0,X1)),X0)),
inference(superposition,[],[f7545,f581]) ).
fof(f581,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
inference(superposition,[],[f225,f3]) ).
fof(f225,plain,
! [X12,X13] : implies(X13,X12) = implies(implies(implies(X13,X12),X12),X12),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
! [X12,X13] : implies(implies(implies(X13,X12),X12),X12) = implies(truth,implies(X13,X12)),
inference(superposition,[],[f3,f8]) ).
fof(f7545,plain,
! [X10,X8,X9] : implies(X9,implies(implies(X9,X8),X10)) = implies(X8,implies(implies(X8,X9),X10)),
inference(forward_demodulation,[],[f7420,f329]) ).
fof(f329,plain,
! [X46,X47,X45] : implies(not(X45),implies(X47,not(X46))) = implies(X47,implies(X46,X45)),
inference(superposition,[],[f11,f14]) ).
fof(f14,axiom,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',lemma_10) ).
fof(f7420,plain,
! [X10,X8,X9] : implies(X8,implies(implies(X8,X9),X10)) = implies(not(X10),implies(X9,not(implies(X9,X8)))),
inference(superposition,[],[f329,f234]) ).
fof(f234,plain,
! [X21,X22] : implies(X22,not(implies(X22,X21))) = implies(X21,not(implies(X21,X22))),
inference(forward_demodulation,[],[f233,f14]) ).
fof(f233,plain,
! [X21,X22] : implies(X22,not(implies(X22,X21))) = implies(X21,not(implies(not(X22),not(X21)))),
inference(forward_demodulation,[],[f232,f28]) ).
fof(f28,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f14,f13]) ).
fof(f13,axiom,
! [X0] : not(not(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',lemma_9) ).
fof(f232,plain,
! [X21,X22] : implies(implies(not(X22),not(X21)),not(X21)) = implies(X22,not(implies(X22,X21))),
inference(forward_demodulation,[],[f183,f28]) ).
fof(f183,plain,
! [X21,X22] : implies(implies(not(X22),not(X21)),not(X21)) = implies(implies(X22,X21),not(X22)),
inference(superposition,[],[f3,f14]) ).
fof(f1796,plain,
truth != implies(a,implies(implies(a,implies(implies(b,a),b)),b)),
inference(forward_demodulation,[],[f1795,f11]) ).
fof(f1795,plain,
truth != implies(a,implies(implies(implies(b,a),implies(a,b)),b)),
inference(forward_demodulation,[],[f1789,f11]) ).
fof(f1789,plain,
truth != implies(implies(implies(b,a),implies(a,b)),implies(a,b)),
inference(superposition,[],[f15,f3]) ).
fof(f15,axiom,
truth != implies(implies(implies(a,b),implies(b,a)),implies(b,a)),
file('/export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114',prove_wajsberg_mv_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n005.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 02:21:54 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.gdbCeP6eG4/Vampire---4.8_19114
% 0.15/0.36 % (19448)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19457)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42 % (19459)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (19458)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (19456)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.42 % (19457)Refutation not found, incomplete strategy% (19457)------------------------------
% 0.21/0.42 % (19457)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (19457)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (19457)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (19457)Memory used [KB]: 895
% 0.21/0.42 % (19457)Time elapsed: 0.003 s
% 0.21/0.42 % (19457)------------------------------
% 0.21/0.42 % (19457)------------------------------
% 0.21/0.42 % (19455)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.42 % (19454)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.43 % (19453)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.47 % (19497)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 72.81/10.97 % (19458)First to succeed.
% 72.81/11.00 % (19458)Refutation found. Thanks to Tanya!
% 72.81/11.00 % SZS status Unsatisfiable for Vampire---4
% 72.81/11.00 % SZS output start Proof for Vampire---4
% See solution above
% 72.81/11.00 % (19458)------------------------------
% 72.81/11.00 % (19458)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 72.81/11.00 % (19458)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 72.81/11.00 % (19458)Termination reason: Refutation
% 72.81/11.00
% 72.81/11.00 % (19458)Memory used [KB]: 254835
% 72.81/11.00 % (19458)Time elapsed: 10.549 s
% 72.81/11.00 % (19458)------------------------------
% 72.81/11.00 % (19458)------------------------------
% 72.81/11.00 % (19448)Success in time 10.614 s
% 72.81/11.00 % Vampire---4.8 exiting
%------------------------------------------------------------------------------