TSTP Solution File: LCL042-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL042-1 : 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 : n025.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 07:43:51 EDT 2024
% Result : Unsatisfiable 2.49s 0.76s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9639,plain,
$false,
inference(subsumption_resolution,[],[f9638,f294]) ).
fof(f294,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f121,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f36,f26]) ).
fof(f26,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4,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(f36,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f21,f1]) ).
fof(f21,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_22) ).
fof(f9638,plain,
~ is_a_theorem(implies(not(a),implies(implies(a,b),implies(a,c)))),
inference(subsumption_resolution,[],[f9597,f5]) ).
fof(f9597,plain,
( ~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))
| ~ is_a_theorem(implies(not(a),implies(implies(a,b),implies(a,c)))) ),
inference(resolution,[],[f828,f7]) ).
fof(f7,axiom,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_35) ).
fof(f828,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[],[f119,f89]) ).
fof(f89,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f27,f1]) ).
fof(f27,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X3),X2))
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f36,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL042-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 14:13:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (32322)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (32326)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (32327)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)
% 0.13/0.37 % (32323)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)
% 0.13/0.37 % (32324)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (32325)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (32321)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [5]
% 1.36/0.61 TRYING [6]
% 1.36/0.61 TRYING [6]
% 2.05/0.63 TRYING [6]
% 2.05/0.67 TRYING [6]
% 2.49/0.76 % (32326)First to succeed.
% 2.49/0.76 % (32326)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32320"
% 2.49/0.76 % (32326)Refutation found. Thanks to Tanya!
% 2.49/0.76 % SZS status Unsatisfiable for theBenchmark
% 2.49/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.76 % (32326)------------------------------
% 2.49/0.76 % (32326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.49/0.76 % (32326)Termination reason: Refutation
% 2.49/0.76
% 2.49/0.76 % (32326)Memory used [KB]: 3524
% 2.49/0.76 % (32326)Time elapsed: 0.390 s
% 2.49/0.76 % (32326)Instructions burned: 856 (million)
% 2.49/0.76 % (32320)Success in time 0.397 s
%------------------------------------------------------------------------------