TSTP Solution File: LCL065-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL065-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n010.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 : Fri Sep 1 17:18:50 EDT 2023
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f742,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f723,f741]) ).
fof(f741,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f722,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/tmp/tmp.lNdnC82w3V/Vampire---4.8_20461',prove_cn_2) ).
fof(f722,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl0_10
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f723,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f707,f721,f26]) ).
fof(f26,plain,
( spl0_1
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f707,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f152,f50]) ).
fof(f50,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f19,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.lNdnC82w3V/Vampire---4.8_20461',cn_49) ).
fof(f19,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f13,f6]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.lNdnC82w3V/Vampire---4.8_20461',cn_18) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.lNdnC82w3V/Vampire---4.8_20461',condensed_detachment) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12,f2]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.lNdnC82w3V/Vampire---4.8_20461',cn_35) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X1,not(X2))))
| is_a_theorem(implies(implies(not(X0),X1),X0))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f42,f21]) ).
fof(f21,plain,
! [X2,X3] :
( is_a_theorem(implies(implies(not(X2),not(X3)),X2))
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f17,f4]) ).
fof(f17,plain,
! [X16,X14,X15] :
( ~ is_a_theorem(implies(X14,implies(X16,X15)))
| is_a_theorem(implies(X14,X15))
| ~ is_a_theorem(X16) ),
inference(resolution,[],[f12,f6]) ).
fof(f42,plain,
! [X10,X11,X8,X9] :
( ~ is_a_theorem(implies(implies(X8,X11),X10))
| ~ is_a_theorem(implies(X8,implies(X9,X11)))
| is_a_theorem(implies(implies(X8,X9),X10)) ),
inference(resolution,[],[f16,f6]) ).
fof(f16,plain,
! [X10,X11,X12,X13] :
( ~ is_a_theorem(implies(implies(X10,X11),implies(implies(X10,X13),X12)))
| is_a_theorem(implies(implies(X10,X11),X12))
| ~ is_a_theorem(implies(X10,implies(X11,X13))) ),
inference(resolution,[],[f12,f10]) ).
fof(f246,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f27,f2]) ).
fof(f27,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL065-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 30 14:42:19 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.41 % (20614)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20616)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (20615)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.42 % (20618)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (20617)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.42 % (20619)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.42 % (20620)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.42 % (20621)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 % (20620)First to succeed.
% 0.21/0.45 TRYING [5]
% 0.21/0.45 % (20620)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (20620)------------------------------
% 0.21/0.45 % (20620)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (20620)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (20620)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (20620)Memory used [KB]: 5884
% 0.21/0.45 % (20620)Time elapsed: 0.032 s
% 0.21/0.45 % (20620)------------------------------
% 0.21/0.45 % (20620)------------------------------
% 0.21/0.45 % (20614)Success in time 0.09 s
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------