TSTP Solution File: LCL414+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL414+1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 00:26:29 EDT 2024
% Result : Theorem 0.12s 0.29s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 67 ( 30 ~; 16 |; 20 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 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 : 66 ( 61 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,plain,
$false,
inference(resolution,[],[f39,f8]) ).
fof(f8,plain,
! [X6,X7] : a_truth(implies(X6,implies(X7,X6))),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ~ a_truth(implies(sK0,sK0))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ! [X3,X4,X5] : a_truth(implies(implies(X3,implies(X4,X5)),implies(implies(X3,X4),implies(X3,X5))))
& ! [X6,X7] : a_truth(implies(X6,implies(X7,X6)))
& ! [X8,X9] :
( a_truth(X9)
| ~ a_truth(X8)
| ~ a_truth(implies(X8,X9)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
( ? [X0] : ~ a_truth(implies(X0,X0))
=> ~ a_truth(implies(sK0,sK0)) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
( ? [X0] : ~ a_truth(implies(X0,X0))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ! [X3,X4,X5] : a_truth(implies(implies(X3,implies(X4,X5)),implies(implies(X3,X4),implies(X3,X5))))
& ! [X6,X7] : a_truth(implies(X6,implies(X7,X6)))
& ! [X8,X9] :
( a_truth(X9)
| ~ a_truth(X8)
| ~ a_truth(implies(X8,X9)) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ( ? [X0] : ~ a_truth(implies(X0,X0))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ! [X3,X4,X5] : a_truth(implies(implies(X3,implies(X4,X5)),implies(implies(X3,X4),implies(X3,X5))))
& ! [X6,X7] : a_truth(implies(X6,implies(X7,X6)))
& ! [X8,X9] :
( a_truth(X9)
| ~ a_truth(X8)
| ~ a_truth(implies(X8,X9)) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ( ? [X3] : ~ a_truth(implies(X3,X3))
& ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ! [X0,X1,X2] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X0,X1] : a_truth(implies(X0,implies(X1,X0)))
& ! [X0,X1] :
( a_truth(X1)
| ~ a_truth(X0)
| ~ a_truth(implies(X0,X1)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ( ? [X3] : ~ a_truth(implies(X3,X3))
& ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ! [X0,X1,X2] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X0,X1] : a_truth(implies(X0,implies(X1,X0)))
& ! [X0,X1] :
( a_truth(X1)
| ~ a_truth(X0)
| ~ a_truth(implies(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147) ).
fof(f39,plain,
! [X0] : ~ a_truth(implies(sK0,X0)),
inference(resolution,[],[f22,f11]) ).
fof(f11,plain,
~ a_truth(implies(sK0,sK0)),
inference(cnf_transformation,[],[f6]) ).
fof(f22,plain,
! [X0,X1] :
( a_truth(implies(X0,X0))
| ~ a_truth(implies(X0,X1)) ),
inference(resolution,[],[f18,f8]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ a_truth(implies(X0,implies(X1,X2)))
| ~ a_truth(implies(X0,X1))
| a_truth(implies(X0,X2)) ),
inference(resolution,[],[f16,f7]) ).
fof(f7,plain,
! [X8,X9] :
( ~ a_truth(implies(X8,X9))
| ~ a_truth(X8)
| a_truth(X9) ),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
! [X2,X0,X1] :
( a_truth(implies(implies(X0,X1),implies(X0,X2)))
| ~ a_truth(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f9,f7]) ).
fof(f9,plain,
! [X3,X4,X5] : a_truth(implies(implies(X3,implies(X4,X5)),implies(implies(X3,X4),implies(X3,X5)))),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL414+1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.26 % Computer : n002.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon May 20 02:33:37 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % (4242)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.28 % (4248)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.08/0.28 % (4247)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.28 % (4243)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.28 % (4249)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)
% 0.08/0.28 % (4244)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.28 % (4245)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)
% 0.08/0.28 % (4246)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 % (4247)Also succeeded, but the first one will report.
% 0.12/0.28 % (4245)First to succeed.
% 0.12/0.28 % (4248)Also succeeded, but the first one will report.
% 0.12/0.28 % (4245)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4242"
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [3]
% 0.12/0.29 % (4245)Refutation found. Thanks to Tanya!
% 0.12/0.29 % SZS status Theorem for theBenchmark
% 0.12/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.29 % (4245)------------------------------
% 0.12/0.29 % (4245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.29 % (4245)Termination reason: Refutation
% 0.12/0.29
% 0.12/0.29 % (4245)Memory used [KB]: 754
% 0.12/0.29 % (4245)Time elapsed: 0.003 s
% 0.12/0.29 % (4245)Instructions burned: 4 (million)
% 0.12/0.29 % (4242)Success in time 0.017 s
%------------------------------------------------------------------------------