TSTP Solution File: LCL249-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL249-3 : 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 : n027.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 08:22:52 EDT 2023
% Result : Unsatisfiable 8.72s 1.64s
% Output : Refutation 8.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 55 unt; 0 def)
% Number of atoms : 84 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 120 (; 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71268,plain,
$false,
inference(subsumption_resolution,[],[f70882,f15]) ).
fof(f15,plain,
~ theorem(sF3),
inference(definition_folding,[],[f10,f14,f13,f12,f11]) ).
fof(f11,plain,
implies(p,r) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
and(p,q) = sF1,
introduced(function_definition,[]) ).
fof(f13,plain,
implies(sF1,r) = sF2,
introduced(function_definition,[]) ).
fof(f14,plain,
implies(sF0,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f10,axiom,
~ theorem(implies(implies(p,r),implies(and(p,q),r))),
file('/export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608',prove_this) ).
fof(f70882,plain,
theorem(sF3),
inference(resolution,[],[f68625,f36119]) ).
fof(f36119,plain,
theorem(implies(or(p,not(sF1)),sF3)),
inference(resolution,[],[f24700,f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ theorem(implies(implies(or(X1,not(X2)),implies(X2,X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f44,f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608',rule_2) ).
fof(f44,plain,
! [X0,X1] : theorem(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f19,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608',implies_definition) ).
fof(f19,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[],[f3,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608',rule_1) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608',axiom_1_4) ).
fof(f24700,plain,
! [X3] : theorem(implies(implies(X3,implies(sF1,p)),implies(X3,sF3))),
inference(resolution,[],[f18847,f625]) ).
fof(f625,plain,
! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f622,f6]) ).
fof(f622,plain,
! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2)))),
inference(superposition,[],[f165,f6]) ).
fof(f165,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.1tLELECz91/Vampire---4.8_16608',axiom_1_6) ).
fof(f18847,plain,
! [X0] :
( ~ theorem(implies(implies(implies(sF1,p),sF3),X0))
| theorem(X0) ),
inference(resolution,[],[f18844,f8]) ).
fof(f18844,plain,
theorem(implies(implies(sF1,p),sF3)),
inference(forward_demodulation,[],[f18838,f14]) ).
fof(f18838,plain,
theorem(implies(implies(sF1,p),implies(sF0,sF2))),
inference(superposition,[],[f16005,f13]) ).
fof(f16005,plain,
! [X0] : theorem(implies(implies(X0,p),implies(sF0,implies(X0,r)))),
inference(forward_demodulation,[],[f16003,f6]) ).
fof(f16003,plain,
! [X0] : theorem(implies(implies(X0,p),implies(sF0,or(not(X0),r)))),
inference(superposition,[],[f11681,f6]) ).
fof(f11681,plain,
! [X1] : theorem(implies(or(X1,p),implies(sF0,or(X1,r)))),
inference(resolution,[],[f406,f1210]) ).
fof(f1210,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f1206,f6]) ).
fof(f1206,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))),
inference(superposition,[],[f402,f6]) ).
fof(f402,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f398,f6]) ).
fof(f398,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f114,f6]) ).
fof(f114,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608',axiom_1_5) ).
fof(f406,plain,
! [X0,X1] :
( ~ theorem(implies(implies(sF0,implies(or(X1,p),or(X1,r))),X0))
| theorem(X0) ),
inference(resolution,[],[f216,f8]) ).
fof(f216,plain,
! [X0] : theorem(implies(sF0,implies(or(X0,p),or(X0,r)))),
inference(resolution,[],[f166,f7]) ).
fof(f166,plain,
! [X0] : axiom(implies(sF0,implies(or(X0,p),or(X0,r)))),
inference(superposition,[],[f5,f11]) ).
fof(f68625,plain,
! [X0] :
( ~ theorem(implies(or(p,not(sF1)),X0))
| theorem(X0) ),
inference(resolution,[],[f68615,f8]) ).
fof(f68615,plain,
theorem(or(p,not(sF1))),
inference(superposition,[],[f68605,f12]) ).
fof(f68605,plain,
! [X0,X1] : theorem(or(X0,not(and(X0,X1)))),
inference(superposition,[],[f67712,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.1tLELECz91/Vampire---4.8_16608',and_defn) ).
fof(f67712,plain,
! [X11,X12] : theorem(or(X11,not(not(implies(X11,X12))))),
inference(resolution,[],[f1866,f16246]) ).
fof(f16246,plain,
! [X8,X6,X7] :
( ~ theorem(implies(or(X7,implies(X7,X8)),X6))
| theorem(X6) ),
inference(resolution,[],[f16051,f8]) ).
fof(f16051,plain,
! [X26,X27] : theorem(or(X26,implies(X26,X27))),
inference(resolution,[],[f9016,f403]) ).
fof(f403,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f399,f6]) ).
fof(f399,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f114,f6]) ).
fof(f9016,plain,
! [X68,X69,X67] :
( ~ theorem(implies(implies(X68,or(X68,X69)),X67))
| theorem(X67) ),
inference(resolution,[],[f8963,f8]) ).
fof(f8963,plain,
! [X8,X7] : theorem(implies(X7,or(X7,X8))),
inference(resolution,[],[f1525,f34]) ).
fof(f34,plain,
! [X2,X3,X4] :
( ~ theorem(implies(implies(X3,or(X4,X3)),X2))
| theorem(X2) ),
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.1tLELECz91/Vampire---4.8_16608',axiom_1_3) ).
fof(f1525,plain,
! [X16,X14,X15] : theorem(implies(implies(X14,or(X15,X16)),implies(X14,or(X16,X15)))),
inference(resolution,[],[f625,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ theorem(implies(implies(or(X1,X2),or(X2,X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f19,f8]) ).
fof(f1866,plain,
! [X2,X3] : theorem(implies(or(X2,X3),or(X2,not(not(X3))))),
inference(resolution,[],[f624,f1197]) ).
fof(f1197,plain,
! [X8,X9] :
( ~ theorem(or(and(X9,not(X9)),X8))
| theorem(X8) ),
inference(forward_demodulation,[],[f1194,f68]) ).
fof(f68,plain,
! [X6,X4,X5] : implies(implies(X4,not(X5)),X6) = or(and(X4,X5),X6),
inference(superposition,[],[f6,f16]) ).
fof(f1194,plain,
! [X8,X9] :
( theorem(X8)
| ~ theorem(implies(implies(X9,not(not(X9))),X8)) ),
inference(resolution,[],[f1158,f8]) ).
fof(f1158,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(superposition,[],[f1112,f6]) ).
fof(f1112,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f1110,f43]) ).
fof(f43,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f19,f6]) ).
fof(f1110,plain,
! [X8,X7] :
( ~ theorem(implies(implies(X8,X8),X7))
| theorem(X7) ),
inference(resolution,[],[f1087,f8]) ).
fof(f1087,plain,
! [X1] : theorem(implies(X1,X1)),
inference(resolution,[],[f861,f34]) ).
fof(f861,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),
inference(forward_demodulation,[],[f859,f6]) ).
fof(f859,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),or(not(X0),X1))),
inference(superposition,[],[f614,f6]) ).
fof(f614,plain,
! [X3,X4] : theorem(implies(or(X3,or(X4,X4)),or(X3,X4))),
inference(resolution,[],[f165,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ theorem(implies(implies(or(X1,X1),X1),X0))
| theorem(X0) ),
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.1tLELECz91/Vampire---4.8_16608',axiom_1_2) ).
fof(f624,plain,
! [X2,X0,X1] : theorem(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1))))),
inference(superposition,[],[f165,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL249-3 : 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
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Fri Aug 25 02:08:18 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.1tLELECz91/Vampire---4.8_16608
% 0.15/0.37 % (16755)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (16756)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)
% 0.15/0.42 % (16764)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)
% 0.15/0.42 % (16763)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)
% 0.15/0.42 % (16759)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)
% 0.15/0.42 % (16757)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)
% 0.15/0.43 % (16768)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)
% 0.15/0.43 % (16767)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)
% 8.72/1.63 % (16768)First to succeed.
% 8.72/1.64 % (16768)Refutation found. Thanks to Tanya!
% 8.72/1.64 % SZS status Unsatisfiable for Vampire---4
% 8.72/1.64 % SZS output start Proof for Vampire---4
% See solution above
% 8.72/1.64 % (16768)------------------------------
% 8.72/1.64 % (16768)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.72/1.64 % (16768)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.72/1.64 % (16768)Termination reason: Refutation
% 8.72/1.64
% 8.72/1.64 % (16768)Memory used [KB]: 44391
% 8.72/1.64 % (16768)Time elapsed: 1.211 s
% 8.72/1.64 % (16768)------------------------------
% 8.72/1.64 % (16768)------------------------------
% 8.72/1.64 % (16755)Success in time 1.25 s
% 8.72/1.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------