TSTP Solution File: LCL379-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL379-1 : 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 : n021.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 : Sun May 5 07:45:29 EDT 2024
% Result : Unsatisfiable 2.28s 0.70s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 42 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17933,plain,
$false,
inference(resolution,[],[f17699,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(x,not(x)),not(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_38) ).
fof(f17699,plain,
! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0))),
inference(resolution,[],[f17656,f14515]) ).
fof(f14515,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f14073,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(f14073,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f13630,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(f13630,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(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f12695,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f12594,f1]) ).
fof(f12594,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(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,f9660]) ).
fof(f9660,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,[],[f4390,f16]) ).
fof(f4390,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f4360,f1321]) ).
fof(f4360,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,[],[f2134,f16]) ).
fof(f2134,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(f17656,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f17599,f14077]) ).
fof(f14077,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f13630,f1]) ).
fof(f17599,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f16828,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(f16828,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f12696,f202]) ).
fof(f12696,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f12594,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 14:03:43 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (2124)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.34 % (2125)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.34 % (2131)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)
% 0.18/0.34 % (2129)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.34 % (2130)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.34 % (2126)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.34 % (2127)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)
% 0.18/0.34 % (2128)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [4]
% 0.18/0.35 TRYING [4]
% 0.18/0.35 TRYING [4]
% 0.18/0.35 TRYING [4]
% 0.18/0.36 TRYING [5]
% 0.18/0.36 TRYING [5]
% 0.18/0.36 TRYING [5]
% 0.18/0.37 TRYING [5]
% 0.18/0.43 TRYING [6]
% 0.18/0.43 TRYING [6]
% 0.18/0.44 TRYING [6]
% 0.18/0.44 TRYING [6]
% 2.28/0.69 % (2129)First to succeed.
% 2.28/0.69 % (2129)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2124"
% 2.28/0.70 % (2129)Refutation found. Thanks to Tanya!
% 2.28/0.70 % SZS status Unsatisfiable for theBenchmark
% 2.28/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.70 % (2129)------------------------------
% 2.28/0.70 % (2129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.28/0.70 % (2129)Termination reason: Refutation
% 2.28/0.70
% 2.28/0.70 % (2129)Memory used [KB]: 5583
% 2.28/0.70 % (2129)Time elapsed: 0.351 s
% 2.28/0.70 % (2129)Instructions burned: 751 (million)
% 2.28/0.70 % (2124)Success in time 0.344 s
%------------------------------------------------------------------------------