TSTP Solution File: LCL341-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL341-3 : 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 : 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 08:23:17 EDT 2023
% Result : Unsatisfiable 33.15s 5.17s
% Output : Refutation 33.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 57 unt; 0 def)
% Number of atoms : 80 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 119 (; 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f251416,plain,
$false,
inference(subsumption_resolution,[],[f251415,f15]) ).
fof(f15,plain,
~ theorem(sF2),
inference(definition_folding,[],[f11,f14,f13,f12]) ).
fof(f12,plain,
implies(p,q) = sF0,
introduced(function_definition,[]) ).
fof(f13,plain,
equivalent(sF0,q) = sF1,
introduced(function_definition,[]) ).
fof(f14,plain,
implies(p,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f11,axiom,
~ theorem(implies(p,equivalent(implies(p,q),q))),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',prove_this) ).
fof(f251415,plain,
theorem(sF2),
inference(forward_demodulation,[],[f250627,f14]) ).
fof(f250627,plain,
theorem(implies(p,sF1)),
inference(resolution,[],[f215432,f207364]) ).
fof(f207364,plain,
! [X8] : theorem(implies(implies(implies(sF0,q),X8),implies(p,X8))),
inference(resolution,[],[f29698,f1316]) ).
fof(f1316,plain,
! [X0] :
( ~ theorem(implies(implies(p,implies(sF0,q)),X0))
| theorem(X0) ),
inference(resolution,[],[f1265,f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',rule_2) ).
fof(f1265,plain,
theorem(implies(p,implies(sF0,q))),
inference(resolution,[],[f1258,f586]) ).
fof(f586,plain,
! [X0] : theorem(implies(implies(X0,sF0),implies(p,implies(X0,q)))),
inference(forward_demodulation,[],[f584,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',implies_definition) ).
fof(f584,plain,
! [X0] : theorem(implies(implies(X0,sF0),implies(p,or(not(X0),q)))),
inference(superposition,[],[f573,f6]) ).
fof(f573,plain,
! [X0] : theorem(implies(or(X0,sF0),implies(p,or(X0,q)))),
inference(resolution,[],[f563,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',rule_1) ).
fof(f563,plain,
! [X0] : axiom(implies(or(X0,sF0),implies(p,or(X0,q)))),
inference(superposition,[],[f118,f12]) ).
fof(f118,plain,
! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f114,f6]) ).
fof(f114,plain,
! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',axiom_1_5) ).
fof(f1258,plain,
! [X10,X11] :
( ~ theorem(implies(implies(X11,X11),X10))
| theorem(X10) ),
inference(resolution,[],[f1235,f8]) ).
fof(f1235,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[],[f806,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ theorem(implies(implies(X1,or(X2,X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f8,f18]) ).
fof(f18,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[],[f2,f7]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',axiom_1_3) ).
fof(f806,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),
inference(forward_demodulation,[],[f804,f6]) ).
fof(f804,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),or(not(X0),X1))),
inference(superposition,[],[f728,f6]) ).
fof(f728,plain,
! [X10,X9] : theorem(implies(or(X9,or(X10,X10)),or(X9,X10))),
inference(resolution,[],[f185,f32]) ).
fof(f32,plain,
! [X3,X4] :
( ~ theorem(implies(implies(or(X4,X4),X4),X3))
| theorem(X3) ),
inference(resolution,[],[f8,f17]) ).
fof(f17,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[],[f1,f7]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',axiom_1_2) ).
fof(f185,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[],[f5,f7]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',axiom_1_6) ).
fof(f29698,plain,
! [X68,X66,X67] : theorem(implies(implies(X66,X67),implies(implies(X67,X68),implies(X66,X68)))),
inference(resolution,[],[f2123,f1559]) ).
fof(f1559,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f1555,f6]) ).
fof(f1555,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))),
inference(superposition,[],[f442,f6]) ).
fof(f442,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f438,f6]) ).
fof(f438,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f113,f6]) ).
fof(f113,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f2123,plain,
! [X21,X24,X22,X23] :
( ~ theorem(implies(implies(implies(X22,X23),implies(implies(X24,X22),implies(X24,X23))),X21))
| theorem(X21) ),
inference(resolution,[],[f739,f8]) ).
fof(f739,plain,
! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f736,f6]) ).
fof(f736,plain,
! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2)))),
inference(superposition,[],[f185,f6]) ).
fof(f215432,plain,
! [X0] :
( ~ theorem(implies(implies(implies(sF0,q),sF1),X0))
| theorem(X0) ),
inference(resolution,[],[f215416,f8]) ).
fof(f215416,plain,
theorem(implies(implies(sF0,q),sF1)),
inference(forward_demodulation,[],[f215402,f13]) ).
fof(f215402,plain,
theorem(implies(implies(sF0,q),equivalent(sF0,q))),
inference(superposition,[],[f215005,f10]) ).
fof(f10,axiom,
! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',equivalent_defn) ).
fof(f215005,plain,
! [X10] : theorem(implies(X10,and(X10,implies(q,sF0)))),
inference(resolution,[],[f214983,f33]) ).
fof(f33,plain,
! [X5] :
( ~ theorem(implies(implies(q,sF0),X5))
| theorem(X5) ),
inference(resolution,[],[f8,f29]) ).
fof(f29,plain,
theorem(implies(q,sF0)),
inference(resolution,[],[f27,f7]) ).
fof(f27,plain,
axiom(implies(q,sF0)),
inference(superposition,[],[f25,f12]) ).
fof(f25,plain,
! [X8,X9] : axiom(implies(X9,implies(X8,X9))),
inference(superposition,[],[f2,f6]) ).
fof(f214983,plain,
! [X0,X1] : theorem(implies(X1,implies(X0,and(X0,X1)))),
inference(forward_demodulation,[],[f214952,f6]) ).
fof(f214952,plain,
! [X0,X1] : theorem(or(not(X1),implies(X0,and(X0,X1)))),
inference(superposition,[],[f214928,f16]) ).
fof(f16,plain,
! [X6,X5] : and(X5,X6) = not(implies(X5,not(X6))),
inference(forward_demodulation,[],[f9,f6]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',and_defn) ).
fof(f214928,plain,
! [X0,X1] : theorem(or(X1,implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f214921,f6]) ).
fof(f214921,plain,
! [X0,X1] : theorem(or(X1,or(not(X0),not(implies(X0,X1))))),
inference(superposition,[],[f214835,f6]) ).
fof(f214835,plain,
! [X26,X27] : theorem(or(X26,or(X27,not(or(X27,X26))))),
inference(resolution,[],[f11025,f1763]) ).
fof(f1763,plain,
! [X2,X3,X4] :
( ~ theorem(implies(or(X3,implies(or(X4,X3),X4)),X2))
| theorem(X2) ),
inference(resolution,[],[f1748,f8]) ).
fof(f1748,plain,
! [X2,X3] : theorem(or(X2,implies(or(X3,X2),X3))),
inference(resolution,[],[f443,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ theorem(implies(implies(or(X1,X2),or(X2,X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f19,f8]) ).
fof(f19,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[],[f3,f7]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011',axiom_1_4) ).
fof(f443,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f439,f6]) ).
fof(f439,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f113,f6]) ).
fof(f11025,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),or(X2,or(X1,not(X0))))),
inference(superposition,[],[f1410,f6]) ).
fof(f1410,plain,
! [X3,X4,X5] : theorem(implies(or(X3,or(X4,X5)),or(X3,or(X5,X4)))),
inference(resolution,[],[f38,f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL341-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Fri Aug 25 02:49:47 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.38 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.23/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.XEu3NSbnCZ/Vampire---4.8_16011
% 0.23/0.38 % (16144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (16145)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)
% 0.23/0.44 % (16147)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)
% 0.23/0.44 % (16148)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)
% 0.23/0.44 % (16146)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)
% 0.23/0.44 % (16150)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)
% 0.23/0.44 % (16149)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)
% 0.23/0.44 % (16151)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)
% 33.15/5.16 % (16151)First to succeed.
% 33.15/5.17 % (16151)Refutation found. Thanks to Tanya!
% 33.15/5.17 % SZS status Unsatisfiable for Vampire---4
% 33.15/5.17 % SZS output start Proof for Vampire---4
% See solution above
% 33.15/5.17 % (16151)------------------------------
% 33.15/5.17 % (16151)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 33.15/5.17 % (16151)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 33.15/5.17 % (16151)Termination reason: Refutation
% 33.15/5.17
% 33.15/5.17 % (16151)Memory used [KB]: 165157
% 33.15/5.17 % (16151)Time elapsed: 4.716 s
% 33.15/5.17 % (16151)------------------------------
% 33.15/5.17 % (16151)------------------------------
% 33.15/5.17 % (16144)Success in time 4.757 s
% 33.15/5.17 % Vampire---4.8 exiting
%------------------------------------------------------------------------------