TSTP Solution File: LCL390-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL390-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 13:41:53 EDT 2024
% Result : Unsatisfiable 42.61s 6.50s
% Output : Refutation 42.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 69 ( 49 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 183 ( 183 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f370847,plain,
$false,
inference(resolution,[],[f370662,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_53) ).
fof(f370662,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(resolution,[],[f370357,f17614]) ).
fof(f17614,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f16811,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f16811,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f12696,f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f19,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f12696,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f12593,f16]) ).
fof(f12593,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f12522,f1321]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(not(not(X0)),X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1311,f1]) ).
fof(f1311,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(resolution,[],[f1281,f6]) ).
fof(f6,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f1281,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(resolution,[],[f26,f654]) ).
fof(f654,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X2),X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f400,f1]) ).
fof(f400,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(resolution,[],[f355,f16]) ).
fof(f355,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f345,f18]) ).
fof(f18,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f16,f3]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f311,f1]) ).
fof(f311,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f295,f16]) ).
fof(f295,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f289,f3]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(implies(X2,X2)),X3),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f140,f1]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(resolution,[],[f130,f16]) ).
fof(f130,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(resolution,[],[f55,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f16,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f55,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(resolution,[],[f51,f16]) ).
fof(f51,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(resolution,[],[f42,f7]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f1,f4]) ).
fof(f42,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f27,f3]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))),
inference(resolution,[],[f20,f16]) ).
fof(f12522,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f3572,f9661]) ).
fof(f9661,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f3566,f4818]) ).
fof(f4818,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4452,f1]) ).
fof(f4452,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f4389,f16]) ).
fof(f4389,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f4359,f1321]) ).
fof(f4359,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f4015,f654]) ).
fof(f4015,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X2,X3))),
inference(resolution,[],[f3916,f16]) ).
fof(f3916,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f3381,f2074]) ).
fof(f2074,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f202,f400]) ).
fof(f3381,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(not(X0),X3)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2169,f1]) ).
fof(f2169,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f2127,f16]) ).
fof(f2127,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f2073,f27]) ).
fof(f2073,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f202,f311]) ).
fof(f3566,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),
inference(resolution,[],[f2074,f202]) ).
fof(f3572,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2074,f1]) ).
fof(f370357,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(resolution,[],[f242542,f932]) ).
fof(f932,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f18,f16]) ).
fof(f242542,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f162700,f17614]) ).
fof(f162700,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(resolution,[],[f126732,f202]) ).
fof(f126732,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(resolution,[],[f105453,f202]) ).
fof(f105453,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
inference(resolution,[],[f99969,f17655]) ).
fof(f17655,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f17598,f14515]) ).
fof(f14515,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f14074,f1]) ).
fof(f14074,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f13615,f202]) ).
fof(f13615,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[],[f12730,f202]) ).
fof(f12730,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[],[f12695,f3]) ).
fof(f12695,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f12593,f1]) ).
fof(f17598,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f16811,f13694]) ).
fof(f13694,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(not(X1),X2)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f12808,f1]) ).
fof(f12808,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X0),X1)),X2),X2)),
inference(resolution,[],[f12695,f4]) ).
fof(f99969,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f74724,f1]) ).
fof(f74724,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f16833,f19]) ).
fof(f16833,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12696,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL390-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 22:50:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (8336)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8342)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (8337)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (8341)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (8340)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (8338)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (8343)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)
% 0.15/0.38 % (8339)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 2.04/0.65 TRYING [6]
% 2.48/0.70 TRYING [6]
% 2.48/0.70 TRYING [6]
% 2.48/0.71 TRYING [6]
% 19.92/3.23 TRYING [7]
% 19.92/3.24 TRYING [7]
% 19.92/3.24 TRYING [7]
% 26.78/4.21 TRYING [7]
% 42.61/6.48 % (8341)First to succeed.
% 42.61/6.50 % (8341)Refutation found. Thanks to Tanya!
% 42.61/6.50 % SZS status Unsatisfiable for theBenchmark
% 42.61/6.50 % SZS output start Proof for theBenchmark
% See solution above
% 42.61/6.50 % (8341)------------------------------
% 42.61/6.50 % (8341)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 42.61/6.50 % (8341)Termination reason: Refutation
% 42.61/6.50
% 42.61/6.50 % (8341)Memory used [KB]: 121079
% 42.61/6.50 % (8341)Time elapsed: 6.104 s
% 42.61/6.50 % (8341)Instructions burned: 21298 (million)
% 42.61/6.50 % (8341)------------------------------
% 42.61/6.50 % (8341)------------------------------
% 42.61/6.50 % (8336)Success in time 6.117 s
%------------------------------------------------------------------------------