TSTP Solution File: LCL258-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL258-3 : 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 : n017.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 08:22:55 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 36 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 19 ~; 9 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(subsumption_resolution,[],[f245,f2]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',axiom_1_3) ).
fof(f245,plain,
~ axiom(implies(q,or(implies(q,q),q))),
inference(resolution,[],[f243,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',rule_1) ).
fof(f243,plain,
~ theorem(implies(q,or(implies(q,q),q))),
inference(resolution,[],[f200,f52]) ).
fof(f52,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f48,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',implies_definition) ).
fof(f48,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/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',axiom_1_5) ).
fof(f200,plain,
! [X0] :
( ~ axiom(implies(X0,or(implies(q,q),implies(q,q))))
| ~ theorem(X0) ),
inference(resolution,[],[f194,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/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',rule_2) ).
fof(f194,plain,
~ theorem(or(implies(q,q),implies(q,q))),
inference(resolution,[],[f186,f1]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',axiom_1_2) ).
fof(f186,plain,
! [X0] :
( ~ axiom(implies(X0,implies(q,q)))
| ~ theorem(X0) ),
inference(resolution,[],[f182,f15]) ).
fof(f182,plain,
~ theorem(implies(q,q)),
inference(resolution,[],[f173,f103]) ).
fof(f103,plain,
! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f101,f6]) ).
fof(f101,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/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',axiom_1_6) ).
fof(f173,plain,
! [X0] :
( ~ axiom(implies(X0,implies(implies(p,q),implies(p,q))))
| ~ theorem(X0) ),
inference(resolution,[],[f170,f15]) ).
fof(f170,plain,
~ theorem(implies(implies(p,q),implies(p,q))),
inference(resolution,[],[f129,f16]) ).
fof(f16,plain,
! [X0] :
( ~ axiom(implies(X0,implies(p,implies(implies(p,q),q))))
| ~ theorem(X0) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
~ theorem(implies(p,implies(implies(p,q),q))),
file('/export/starexec/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819',prove_this) ).
fof(f129,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f127,f6]) ).
fof(f127,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))),
inference(superposition,[],[f51,f6]) ).
fof(f51,plain,
! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f47,f6]) ).
fof(f47,plain,
! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f4,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL258-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 04:31:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.XbDsJxVlNO/Vampire---4.8_12819
% 0.13/0.36 % (12993)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12995)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)
% 0.21/0.42 % (12997)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 % (12996)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 % (12998)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 % (12999)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 % (13000)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 % (12994)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)
% 0.21/0.43 % (12995)First to succeed.
% 0.21/0.43 % (12995)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (12995)------------------------------
% 0.21/0.43 % (12995)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (12995)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (12995)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (12995)Memory used [KB]: 10234
% 0.21/0.43 % (12995)Time elapsed: 0.014 s
% 0.21/0.43 % (12995)------------------------------
% 0.21/0.43 % (12995)------------------------------
% 0.21/0.43 % (12993)Success in time 0.073 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------