TSTP Solution File: LCL230-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL230-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : n019.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 08:22:43 EDT 2023
% Result : Unsatisfiable 10.26s 1.88s
% Output : Refutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 38 unt; 0 def)
% Number of atoms : 51 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 49 (; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150815,plain,
$false,
inference(subsumption_resolution,[],[f150142,f16]) ).
fof(f16,plain,
~ theorem(sF5),
inference(definition_folding,[],[f9,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
or(p,q) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
or(p,r) = sF1,
introduced(function_definition,[]) ).
fof(f12,plain,
implies(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f13,plain,
implies(q,r) = sF3,
introduced(function_definition,[]) ).
fof(f14,plain,
or(p,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f15,plain,
implies(sF2,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r)))),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',prove_this) ).
fof(f150142,plain,
theorem(sF5),
inference(resolution,[],[f58580,f35812]) ).
fof(f35812,plain,
theorem(implies(implies(sF2,implies(q,sF1)),sF5)),
inference(resolution,[],[f826,f1796]) ).
fof(f1796,plain,
! [X0] : theorem(implies(implies(X0,sF4),implies(implies(sF2,X0),sF5))),
inference(resolution,[],[f1044,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',rule_1) ).
fof(f1044,plain,
! [X2] : axiom(implies(implies(X2,sF4),implies(implies(sF2,X2),sF5))),
inference(superposition,[],[f167,f15]) ).
fof(f167,plain,
! [X3,X4,X5] : axiom(implies(implies(X4,X5),implies(implies(X3,X4),implies(X3,X5)))),
inference(forward_demodulation,[],[f162,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',implies_definition) ).
fof(f162,plain,
! [X3,X4,X5] : axiom(implies(implies(X4,X5),implies(implies(X3,X4),or(not(X3),X5)))),
inference(superposition,[],[f5,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',axiom_1_6) ).
fof(f826,plain,
! [X0] :
( ~ theorem(implies(implies(implies(q,sF1),sF4),X0))
| theorem(X0) ),
inference(resolution,[],[f825,f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',rule_2) ).
fof(f825,plain,
theorem(implies(implies(q,sF1),sF4)),
inference(resolution,[],[f824,f7]) ).
fof(f824,plain,
axiom(implies(implies(q,sF1),sF4)),
inference(forward_demodulation,[],[f823,f14]) ).
fof(f823,plain,
axiom(implies(implies(q,sF1),or(p,sF3))),
inference(superposition,[],[f247,f13]) ).
fof(f247,plain,
! [X0] : axiom(implies(implies(X0,sF1),or(p,implies(X0,r)))),
inference(forward_demodulation,[],[f244,f6]) ).
fof(f244,plain,
! [X0] : axiom(implies(implies(X0,sF1),or(p,or(not(X0),r)))),
inference(superposition,[],[f89,f6]) ).
fof(f89,plain,
! [X1] : axiom(implies(or(X1,sF1),or(p,or(X1,r)))),
inference(superposition,[],[f4,f11]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',axiom_1_5) ).
fof(f58580,plain,
! [X0] :
( ~ theorem(implies(implies(sF2,implies(q,sF1)),X0))
| theorem(X0) ),
inference(resolution,[],[f58574,f8]) ).
fof(f58574,plain,
theorem(implies(sF2,implies(q,sF1))),
inference(resolution,[],[f31025,f63]) ).
fof(f63,plain,
! [X11] :
( ~ theorem(implies(implies(q,sF0),X11))
| theorem(X11) ),
inference(resolution,[],[f8,f22]) ).
fof(f22,plain,
theorem(implies(q,sF0)),
inference(resolution,[],[f19,f7]) ).
fof(f19,plain,
axiom(implies(q,sF0)),
inference(superposition,[],[f2,f10]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943',axiom_1_3) ).
fof(f31025,plain,
! [X0] : theorem(implies(implies(X0,sF0),implies(sF2,implies(X0,sF1)))),
inference(forward_demodulation,[],[f31023,f6]) ).
fof(f31023,plain,
! [X0] : theorem(implies(implies(X0,sF0),implies(sF2,or(not(X0),sF1)))),
inference(superposition,[],[f9486,f6]) ).
fof(f9486,plain,
! [X1] : theorem(implies(or(X1,sF0),implies(sF2,or(X1,sF1)))),
inference(resolution,[],[f892,f2273]) ).
fof(f2273,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f2268,f6]) ).
fof(f2268,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))),
inference(superposition,[],[f756,f6]) ).
fof(f756,plain,
! [X3,X4,X5] : theorem(implies(or(X5,implies(X3,X4)),implies(X3,or(X5,X4)))),
inference(forward_demodulation,[],[f749,f6]) ).
fof(f749,plain,
! [X3,X4,X5] : theorem(implies(or(X5,implies(X3,X4)),or(not(X3),or(X5,X4)))),
inference(superposition,[],[f87,f6]) ).
fof(f87,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f892,plain,
! [X0,X1] :
( ~ theorem(implies(implies(sF2,implies(or(X1,sF0),or(X1,sF1))),X0))
| theorem(X0) ),
inference(resolution,[],[f420,f8]) ).
fof(f420,plain,
! [X0] : theorem(implies(sF2,implies(or(X0,sF0),or(X0,sF1)))),
inference(resolution,[],[f156,f7]) ).
fof(f156,plain,
! [X0] : axiom(implies(sF2,implies(or(X0,sF0),or(X0,sF1)))),
inference(superposition,[],[f5,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL230-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n019.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 : Thu Aug 24 18:59:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.74SnT4cF06/Vampire---4.8_14943
% 0.14/0.36 % (15050)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (15055)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)
% 0.21/0.41 % (15052)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)
% 0.21/0.41 % (15053)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)
% 0.21/0.41 % (15051)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)
% 0.21/0.41 % (15054)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)
% 0.21/0.41 % (15056)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)
% 0.21/0.41 % (15057)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)
% 10.26/1.87 % (15057)First to succeed.
% 10.26/1.88 % (15057)Refutation found. Thanks to Tanya!
% 10.26/1.88 % SZS status Unsatisfiable for Vampire---4
% 10.26/1.88 % SZS output start Proof for Vampire---4
% See solution above
% 10.26/1.88 % (15057)------------------------------
% 10.26/1.88 % (15057)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 10.26/1.88 % (15057)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 10.26/1.88 % (15057)Termination reason: Refutation
% 10.26/1.88
% 10.26/1.88 % (15057)Memory used [KB]: 50916
% 10.26/1.88 % (15057)Time elapsed: 1.457 s
% 10.26/1.88 % (15057)------------------------------
% 10.26/1.88 % (15057)------------------------------
% 10.26/1.88 % (15050)Success in time 1.518 s
% 10.26/1.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------