TSTP Solution File: LCL072-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL072-1 : 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 : n002.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 17:18:51 EDT 2023
% Result : Unsatisfiable 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 43 ~; 41 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 94 (; 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1819,plain,
$false,
inference(avatar_sat_refutation,[],[f1808,f1817]) ).
fof(f1817,plain,
spl0_2,
inference(avatar_split_clause,[],[f286,f56]) ).
fof(f56,plain,
( spl0_2
<=> ! [X48,X46,X47] :
( is_a_theorem(implies(implies(X46,X47),implies(implies(X48,X46),X47)))
| ~ is_a_theorem(implies(not(X48),X47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f286,plain,
! [X56,X57,X55] :
( is_a_theorem(implies(implies(X55,X56),implies(implies(X57,X55),X56)))
| ~ is_a_theorem(implies(not(X57),X56)) ),
inference(resolution,[],[f237,f39]) ).
fof(f39,plain,
! [X10,X11,X8,X9] :
( is_a_theorem(implies(X8,implies(implies(X9,X10),implies(implies(X11,X9),X10))))
| ~ is_a_theorem(implies(not(X11),X10)) ),
inference(resolution,[],[f10,f1]) ).
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.aVeefmhgKV/Vampire---4.8_4577',condensed_detachment) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1))))),
inference(resolution,[],[f4,f6]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/tmp/tmp.aVeefmhgKV/Vampire---4.8_4577',cn_19) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox2/tmp/tmp.aVeefmhgKV/Vampire---4.8_4577',cn_60) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f228,f2]) ).
fof(f228,plain,
! [X31,X32,X30,X33] :
( ~ is_a_theorem(implies(implies(X33,X31),X30))
| is_a_theorem(implies(X31,X32))
| ~ is_a_theorem(implies(X30,implies(X31,X32))) ),
inference(resolution,[],[f199,f1]) ).
fof(f199,plain,
! [X16,X14,X15,X13] :
( is_a_theorem(implies(implies(implies(X13,X14),X15),implies(X14,X16)))
| ~ is_a_theorem(implies(X15,implies(X14,X16))) ),
inference(resolution,[],[f112,f1]) ).
fof(f112,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
inference(resolution,[],[f40,f2]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[],[f23,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/tmp/tmp.aVeefmhgKV/Vampire---4.8_4577',cn_37) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,plain,
! [X6,X7,X4,X5] :
( is_a_theorem(implies(X4,implies(implies(X5,X6),implies(implies(X7,X5),X6))))
| ~ is_a_theorem(implies(X4,implies(not(X7),X6))) ),
inference(resolution,[],[f4,f1]) ).
fof(f1808,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f1807,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f1752,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox2/tmp/tmp.aVeefmhgKV/Vampire---4.8_4577',prove_cn_3) ).
fof(f1752,plain,
( ! [X6,X5] : is_a_theorem(implies(X5,implies(not(X5),X6)))
| ~ spl0_2 ),
inference(resolution,[],[f891,f15]) ).
fof(f15,plain,
! [X3,X4,X5] : is_a_theorem(implies(not(implies(X3,X4)),implies(not(X3),X5))),
inference(resolution,[],[f7,f3]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f891,plain,
( ! [X84,X85] :
( ~ is_a_theorem(implies(not(implies(X84,X85)),X85))
| is_a_theorem(implies(X84,X85)) )
| ~ spl0_2 ),
inference(resolution,[],[f822,f355]) ).
fof(f355,plain,
( ! [X14] :
( ~ is_a_theorem(implies(not(X14),X14))
| is_a_theorem(X14) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f353,f267]) ).
fof(f267,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f237,f2]) ).
fof(f353,plain,
( ! [X14] :
( ~ is_a_theorem(implies(not(X14),X14))
| is_a_theorem(X14)
| ~ is_a_theorem(implies(X14,X14)) )
| ~ spl0_2 ),
inference(resolution,[],[f316,f1]) ).
fof(f316,plain,
( ! [X0] :
( is_a_theorem(implies(implies(X0,X0),X0))
| ~ is_a_theorem(implies(not(X0),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f269,f57]) ).
fof(f57,plain,
( ! [X48,X46,X47] :
( is_a_theorem(implies(implies(X46,X47),implies(implies(X48,X46),X47)))
| ~ is_a_theorem(implies(not(X48),X47)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f269,plain,
! [X2,X3] :
( ~ is_a_theorem(implies(X2,implies(X2,X3)))
| is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f237,f199]) ).
fof(f822,plain,
( ! [X140,X138,X139] :
( is_a_theorem(implies(X138,implies(X139,X140)))
| ~ is_a_theorem(implies(X138,X140)) )
| ~ spl0_2 ),
inference(resolution,[],[f307,f13]) ).
fof(f13,plain,
! [X2,X3,X4] : is_a_theorem(implies(X2,implies(X3,implies(X4,X2)))),
inference(resolution,[],[f8,f6]) ).
fof(f8,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f6,f2]) ).
fof(f307,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f303,f148]) ).
fof(f148,plain,
( ! [X21,X22,X20] :
( ~ is_a_theorem(implies(not(X20),X21))
| ~ is_a_theorem(implies(X22,X21))
| is_a_theorem(X21)
| ~ is_a_theorem(implies(X20,X22)) )
| ~ spl0_2 ),
inference(resolution,[],[f136,f1]) ).
fof(f136,plain,
( ! [X10,X11,X12] :
( is_a_theorem(implies(implies(X10,X12),X11))
| ~ is_a_theorem(implies(not(X10),X11))
| ~ is_a_theorem(implies(X12,X11)) )
| ~ spl0_2 ),
inference(resolution,[],[f57,f1]) ).
fof(f303,plain,
! [X18,X17] : is_a_theorem(implies(not(X17),implies(X17,X18))),
inference(resolution,[],[f267,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL072-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 15:00:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.42 % (4693)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (4700)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)
% 0.22/0.43 % (4695)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (4697)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (4698)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.43 % (4699)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.43 % (4696)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)
% 0.22/0.43 % (4694)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.48 TRYING [5]
% 0.22/0.48 TRYING [5]
% 0.22/0.49 TRYING [5]
% 0.22/0.50 TRYING [5]
% 0.22/0.51 % (4699)First to succeed.
% 0.22/0.52 % (4699)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.52 % (4699)------------------------------
% 0.22/0.52 % (4699)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.52 % (4699)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.52 % (4699)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (4699)Memory used [KB]: 6780
% 0.22/0.52 % (4699)Time elapsed: 0.086 s
% 0.22/0.52 % (4699)------------------------------
% 0.22/0.52 % (4699)------------------------------
% 0.22/0.52 % (4693)Success in time 0.148 s
% 0.22/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------