TSTP Solution File: LCL114-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL114-1 : 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 : 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 Apr 30 13:40:32 EDT 2024
% Result : Unsatisfiable 30.57s 5.00s
% Output : Refutation 30.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 32 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 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 : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265718,plain,
$false,
inference(resolution,[],[f263553,f6]) ).
fof(f6,axiom,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_36) ).
fof(f263553,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),not(X0)))),
inference(resolution,[],[f27377,f131960]) ).
fof(f131960,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),not(not(X1))))),
inference(resolution,[],[f9121,f29697]) ).
fof(f29697,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f8524,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(f8524,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f1154,f43]) ).
fof(f43,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f34,f15]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).
fof(f34,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f26,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f15,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
fof(f1154,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,[],[f23,f1]) ).
fof(f23,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,[],[f15,f3]) ).
fof(f9121,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(implies(X0,X1),not(not(X1))))),
inference(resolution,[],[f8922,f2725]) ).
fof(f2725,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(not(X0)),X1)) ),
inference(resolution,[],[f1754,f1]) ).
fof(f1754,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1))),
inference(resolution,[],[f1740,f15]) ).
fof(f1740,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f1703,f355]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f35,f1]) ).
fof(f35,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f28,f15]) ).
fof(f28,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f26,f5]) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).
fof(f1703,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(implies(X1,X1))),X0)),
inference(resolution,[],[f1450,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f98,f1]) ).
fof(f98,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f87,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f34,f1]) ).
fof(f87,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f84,f26]) ).
fof(f84,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
inference(resolution,[],[f17,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f7,f2]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1,f2]) ).
fof(f17,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X0),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f1450,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X0)),X1))),
inference(resolution,[],[f902,f22]) ).
fof(f22,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))),
inference(resolution,[],[f15,f5]) ).
fof(f902,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f43,f1]) ).
fof(f8922,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),not(not(X1))))),
inference(resolution,[],[f8513,f902]) ).
fof(f8513,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[],[f1154,f1782]) ).
fof(f1782,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)),
inference(resolution,[],[f1753,f44]) ).
fof(f1753,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f1740,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),not(X0)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f27377,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X2),not(X1))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f8518,f1]) ).
fof(f8518,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f1154,f279]) ).
fof(f279,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2),X2)),
inference(resolution,[],[f12,f17]) ).
fof(f12,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))),
inference(resolution,[],[f5,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL114-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:14:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (26962)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (26966)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (26968)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (26967)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (26969)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.41 % (26964)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.42 % (26963)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [3]
% 0.20/0.44 TRYING [4]
% 0.20/0.44 % (26965)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)
% 0.20/0.45 TRYING [4]
% 0.20/0.45 TRYING [5]
% 1.25/0.59 TRYING [5]
% 1.25/0.60 TRYING [5]
% 1.75/0.69 TRYING [6]
% 1.75/0.71 TRYING [6]
% 4.89/1.32 TRYING [6]
% 4.89/1.33 TRYING [6]
% 10.08/2.05 TRYING [7]
% 11.25/2.26 TRYING [7]
% 12.90/2.48 TRYING [7]
% 12.90/2.51 TRYING [7]
% 30.57/4.99 % (26967)First to succeed.
% 30.57/5.00 % (26967)Refutation found. Thanks to Tanya!
% 30.57/5.00 % SZS status Unsatisfiable for theBenchmark
% 30.57/5.00 % SZS output start Proof for theBenchmark
% See solution above
% 30.57/5.00 % (26967)------------------------------
% 30.57/5.00 % (26967)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 30.57/5.00 % (26967)Termination reason: Refutation
% 30.57/5.00
% 30.57/5.00 % (26967)Memory used [KB]: 82740
% 30.57/5.00 % (26967)Time elapsed: 4.624 s
% 30.57/5.00 % (26967)Instructions burned: 15316 (million)
% 30.57/5.00 % (26967)------------------------------
% 30.57/5.00 % (26967)------------------------------
% 30.57/5.00 % (26962)Success in time 4.646 s
%------------------------------------------------------------------------------