TSTP Solution File: LCL034-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL034-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 May 21 00:24:28 EDT 2024
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 46 ( 30 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 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 : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5381,plain,
$false,
inference(resolution,[],[f5244,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_3) ).
fof(f5244,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f5130,f48]) ).
fof(f48,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)),
inference(resolution,[],[f46,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_CAMerideth) ).
fof(f46,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(falsehood,X0)) ),
inference(resolution,[],[f29,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f29,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(resolution,[],[f28,f2]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(falsehood,X1))) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(falsehood,X2)))),
inference(resolution,[],[f9,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,X3),implies(X2,falsehood)),X4),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(falsehood,X3)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
inference(resolution,[],[f5,f4]) ).
fof(f5130,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[],[f5003,f1]) ).
fof(f5003,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f4892,f1171]) ).
fof(f1171,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f835,f4]) ).
fof(f835,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2))),
inference(resolution,[],[f818,f4]) ).
fof(f818,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f788,f4]) ).
fof(f788,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))),
inference(resolution,[],[f759,f4]) ).
fof(f759,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(falsehood,X2),falsehood)),implies(X3,X0))),
inference(resolution,[],[f509,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(resolution,[],[f8,f4]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
inference(resolution,[],[f6,f4]) ).
fof(f509,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X3))
| is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3)) ),
inference(resolution,[],[f446,f1]) ).
fof(f446,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))),
inference(resolution,[],[f78,f4]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1))),
inference(resolution,[],[f67,f4]) ).
fof(f67,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f64,f2]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[],[f39,f1]) ).
fof(f39,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f7,f10]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X3,X1),implies(X4,X1)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f5,f1]) ).
fof(f4892,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4433,f1]) ).
fof(f4433,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f4039,f4]) ).
fof(f4039,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),X2),falsehood),X0)),
inference(resolution,[],[f2267,f3691]) ).
fof(f3691,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),implies(X0,falsehood)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1365,f1]) ).
fof(f1365,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0))),
inference(resolution,[],[f1307,f509]) ).
fof(f1307,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f1271,f2]) ).
fof(f1271,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[],[f1216,f1]) ).
fof(f1216,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f1203,f1171]) ).
fof(f1203,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1171,f1]) ).
fof(f2267,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(implies(X0,falsehood),X1),falsehood),X2))),
inference(resolution,[],[f1182,f1623]) ).
fof(f1623,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1))),
inference(resolution,[],[f1612,f2]) ).
fof(f1612,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1))) ),
inference(resolution,[],[f1542,f1]) ).
fof(f1542,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,falsehood),X2)))),
inference(resolution,[],[f1475,f835]) ).
fof(f1475,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1257,f1]) ).
fof(f1257,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f1216,f4]) ).
fof(f1182,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,falsehood),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f835,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL034-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.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 May 20 02:16:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (21880)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (21885)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 % (21884)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 % (21886)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (21887)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (21888)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 % (21882)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (21883)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 TRYING [2]
% 0.15/0.37 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 [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 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]
% 0.21/0.48 % (21886)First to succeed.
% 0.21/0.49 % (21886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21880"
% 0.21/0.49 % (21886)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (21886)------------------------------
% 0.21/0.49 % (21886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49 % (21886)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (21886)Memory used [KB]: 1901
% 0.21/0.49 % (21886)Time elapsed: 0.114 s
% 0.21/0.49 % (21886)Instructions burned: 181 (million)
% 0.21/0.49 % (21880)Success in time 0.128 s
%------------------------------------------------------------------------------