TSTP Solution File: LCL023-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 13:40:14 EDT 2024
% Result : Unsatisfiable 1.68s 0.61s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8380,plain,
$false,
inference(subsumption_resolution,[],[f8325,f198]) ).
fof(f198,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(resolution,[],[f128,f63]) ).
fof(f63,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X0,X2)),X2))),
inference(resolution,[],[f22,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),equivalent(X0,X3))))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f5,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0))),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X2,X0),X1))),
inference(resolution,[],[f9,f7]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3))))),
inference(resolution,[],[f7,f5]) ).
fof(f128,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f95,f1]) ).
fof(f95,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)),
inference(resolution,[],[f66,f19]) ).
fof(f19,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(resolution,[],[f16,f7]) ).
fof(f16,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
inference(resolution,[],[f11,f7]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X1,X2),X0))),
inference(resolution,[],[f8,f4]) ).
fof(f8,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f7,f2]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),X0))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f22,f1]) ).
fof(f8325,plain,
~ is_a_theorem(equivalent(equivalent(b,equivalent(b,c)),c)),
inference(resolution,[],[f432,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),X3)))
| ~ is_a_theorem(equivalent(equivalent(X2,X1),X3)) ),
inference(resolution,[],[f71,f1]) ).
fof(f71,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X3,X0),X2)))),
inference(resolution,[],[f35,f7]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(equivalent(X3,X1),equivalent(X0,X3))))),
inference(resolution,[],[f13,f7]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))),equivalent(equivalent(X0,X4),equivalent(equivalent(X3,X2),X4)))),
inference(resolution,[],[f6,f7]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(X3,equivalent(equivalent(X4,X2),equivalent(X1,X4))),X0))),
inference(resolution,[],[f5,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n031.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 : Mon Apr 29 23:10:58 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (22612)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (22617)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (22613)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (22618)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (22615)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 theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (22616)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (22619)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (22614)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.21/0.52 TRYING [5]
% 0.21/0.52 TRYING [5]
% 0.21/0.52 TRYING [5]
% 0.21/0.52 TRYING [5]
% 1.68/0.61 % (22618)First to succeed.
% 1.68/0.61 % (22618)Refutation found. Thanks to Tanya!
% 1.68/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.61 % (22618)------------------------------
% 1.68/0.61 % (22618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.68/0.61 % (22618)Termination reason: Refutation
% 1.68/0.61
% 1.68/0.61 % (22618)Memory used [KB]: 3809
% 1.68/0.61 % (22618)Time elapsed: 0.240 s
% 1.68/0.61 % (22618)Instructions burned: 637 (million)
% 1.68/0.61 % (22618)------------------------------
% 1.68/0.61 % (22618)------------------------------
% 1.68/0.61 % (22612)Success in time 0.245 s
%------------------------------------------------------------------------------