TSTP Solution File: LCL106-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL106-1 : 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 : 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 : Wed Aug 31 17:38:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 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 : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(resolution,[],[f40,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_2) ).
fof(f40,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[],[f17,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_4) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X3))) ),
inference(resolution,[],[f13,f6]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
| is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f3,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(f13,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f10,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_1) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f7,f6]) ).
fof(f7,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 01:36:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (25272)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (25272)First to succeed.
% 0.20/0.55 % (25288)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.56 % (25289)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)
% 0.20/0.56 % (25280)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.56 % (25272)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (25272)------------------------------
% 0.20/0.56 % (25272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (25272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (25272)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (25272)Memory used [KB]: 1407
% 0.20/0.56 % (25272)Time elapsed: 0.121 s
% 0.20/0.56 % (25272)Instructions burned: 6 (million)
% 0.20/0.56 % (25272)------------------------------
% 0.20/0.56 % (25272)------------------------------
% 0.20/0.56 % (25265)Success in time 0.212 s
%------------------------------------------------------------------------------