TSTP Solution File: LCL323-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL323-3 : 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 : n022.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 08:23:12 EDT 2023
% Result : Unsatisfiable 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 48 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 32 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f855,plain,
$false,
inference(subsumption_resolution,[],[f854,f2]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',axiom_1_3) ).
fof(f854,plain,
~ axiom(implies(q,or(r,q))),
inference(resolution,[],[f849,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',rule_1) ).
fof(f849,plain,
~ theorem(implies(q,or(r,q))),
inference(resolution,[],[f823,f3]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',axiom_1_4) ).
fof(f823,plain,
! [X4] :
( ~ axiom(implies(X4,or(q,r)))
| ~ theorem(implies(q,X4)) ),
inference(resolution,[],[f734,f7]) ).
fof(f734,plain,
! [X34] :
( ~ theorem(implies(X34,or(q,r)))
| ~ theorem(implies(q,X34)) ),
inference(resolution,[],[f315,f286]) ).
fof(f286,plain,
~ theorem(implies(q,or(q,r))),
inference(resolution,[],[f281,f49]) ).
fof(f49,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f45,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',implies_definition) ).
fof(f45,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
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/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',axiom_1_5) ).
fof(f281,plain,
! [X0] :
( ~ axiom(implies(X0,or(q,implies(q,r))))
| ~ theorem(X0) ),
inference(resolution,[],[f278,f15]) ).
fof(f15,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ axiom(implies(X1,X0)) ),
inference(resolution,[],[f8,f7]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',rule_2) ).
fof(f278,plain,
~ theorem(or(q,implies(q,r))),
inference(resolution,[],[f274,f3]) ).
fof(f274,plain,
! [X0] :
( ~ axiom(implies(X0,or(implies(q,r),q)))
| ~ theorem(X0) ),
inference(resolution,[],[f273,f15]) ).
fof(f273,plain,
~ theorem(or(implies(q,r),q)),
inference(resolution,[],[f218,f14]) ).
fof(f14,plain,
! [X6,X5] : axiom(implies(X6,implies(X5,X6))),
inference(superposition,[],[f2,f6]) ).
fof(f218,plain,
! [X0] :
( ~ axiom(implies(X0,implies(p,or(implies(q,r),q))))
| ~ theorem(X0) ),
inference(resolution,[],[f210,f15]) ).
fof(f210,plain,
~ theorem(implies(p,or(implies(q,r),q))),
inference(resolution,[],[f49,f25]) ).
fof(f25,plain,
! [X0] :
( ~ axiom(implies(X0,or(implies(q,r),implies(p,q))))
| ~ theorem(X0) ),
inference(resolution,[],[f20,f15]) ).
fof(f20,plain,
~ theorem(or(implies(q,r),implies(p,q))),
inference(resolution,[],[f16,f3]) ).
fof(f16,plain,
! [X0] :
( ~ axiom(implies(X0,or(implies(p,q),implies(q,r))))
| ~ theorem(X0) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
~ theorem(or(implies(p,q),implies(q,r))),
file('/export/starexec/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599',prove_this) ).
fof(f315,plain,
! [X14,X12,X13] :
( theorem(implies(X14,X13))
| ~ theorem(implies(X12,X13))
| ~ theorem(implies(X14,X12)) ),
inference(resolution,[],[f17,f96]) ).
fof(f96,plain,
! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f94,f6]) ).
fof(f94,plain,
! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2)))),
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.YZRZXGiBjC/Vampire---4.8_19599',axiom_1_6) ).
fof(f17,plain,
! [X2,X3,X1] :
( ~ axiom(implies(X1,implies(X2,X3)))
| ~ theorem(X1)
| theorem(X3)
| ~ theorem(X2) ),
inference(resolution,[],[f15,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n022.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 : Thu Aug 24 18:37:55 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/sandbox/tmp/tmp.YZRZXGiBjC/Vampire---4.8_19599
% 0.15/0.37 % (19706)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19708)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)
% 0.22/0.43 % (19711)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)
% 0.22/0.43 % (19710)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)
% 0.22/0.43 % (19712)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)
% 0.22/0.43 % (19709)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)
% 0.22/0.43 % (19713)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)
% 0.22/0.43 % (19707)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)
% 0.22/0.47 % (19708)First to succeed.
% 0.22/0.47 % (19707)Also succeeded, but the first one will report.
% 0.22/0.47 % (19708)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48 % (19708)------------------------------
% 0.22/0.48 % (19708)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (19708)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (19708)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (19708)Memory used [KB]: 11257
% 0.22/0.48 % (19708)Time elapsed: 0.048 s
% 0.22/0.48 % (19708)------------------------------
% 0.22/0.48 % (19708)------------------------------
% 0.22/0.48 % (19706)Success in time 0.107 s
% 0.22/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------