TSTP Solution File: LCL013-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.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 : Wed Aug 31 17:37:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,plain,
$false,
inference(subsumption_resolution,[],[f8,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xgf) ).
fof(f8,plain,
~ is_a_theorem(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b)))),
inference(resolution,[],[f6,f2]) ).
fof(f6,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(b,equivalent(c,a)),equivalent(X0,equivalent(equivalent(a,b),c))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f5,f2]) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a))))))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f4,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_um) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.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 : Tue Aug 30 01:43:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (19318)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49 % (19326)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (19326)First to succeed.
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (19326)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (19326)------------------------------
% 0.20/0.50 % (19326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (19326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (19326)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (19326)Memory used [KB]: 5756
% 0.20/0.50 % (19326)Time elapsed: 0.067 s
% 0.20/0.50 % (19326)Instructions burned: 1 (million)
% 0.20/0.50 % (19326)------------------------------
% 0.20/0.50 % (19326)------------------------------
% 0.20/0.50 % (19302)Success in time 0.138 s
%------------------------------------------------------------------------------