TSTP Solution File: LCL026-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL026-1 : 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 : n004.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 07:43:49 EDT 2024
% Result : Unsatisfiable 12.85s 2.24s
% Output : Refutation 12.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 31 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 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; 3 con; 0-2 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98875,plain,
$false,
inference(resolution,[],[f98751,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_3) ).
fof(f98751,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f95273,f1942]) ).
fof(f1942,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,falsehood),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f342,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(f342,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),X1)),implies(X0,X1))),
inference(resolution,[],[f308,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_6) ).
fof(f308,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),X1),X1))),
inference(resolution,[],[f289,f6]) ).
fof(f6,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).
fof(f289,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0)),
inference(resolution,[],[f64,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f42,f1]) ).
fof(f42,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),falsehood)),implies(X0,X1))),
inference(resolution,[],[f31,f9]) ).
fof(f9,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),falsehood),X1))),
inference(resolution,[],[f3,f6]) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_5) ).
fof(f64,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f48,f31]) ).
fof(f48,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f46,f2]) ).
fof(f46,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[],[f33,f1]) ).
fof(f33,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[],[f31,f2]) ).
fof(f95273,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,falsehood),X2))),
inference(resolution,[],[f94628,f4011]) ).
fof(f4011,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,falsehood),implies(X1,X2)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f448,f1]) ).
fof(f448,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,falsehood),implies(X0,X1)),X2),X2)),
inference(resolution,[],[f293,f241]) ).
fof(f241,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,falsehood),implies(X1,X2)))),
inference(resolution,[],[f210,f6]) ).
fof(f210,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))),
inference(resolution,[],[f209,f31]) ).
fof(f209,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(resolution,[],[f197,f6]) ).
fof(f197,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)),
inference(resolution,[],[f185,f2]) ).
fof(f293,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f64,f1]) ).
fof(f94628,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f51687,f1849]) ).
fof(f1849,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f149,f1161]) ).
fof(f1161,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1124,f1]) ).
fof(f1124,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
inference(resolution,[],[f147,f7]) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f6,f2]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))) ),
inference(resolution,[],[f43,f1]) ).
fof(f43,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f31,f4]) ).
fof(f149,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3))))),
inference(resolution,[],[f43,f6]) ).
fof(f51687,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f27522,f1]) ).
fof(f27522,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X0,implies(X2,X3)))),
inference(resolution,[],[f27413,f1290]) ).
fof(f1290,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f1184,f1]) ).
fof(f1184,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f1161,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))),
inference(resolution,[],[f4,f6]) ).
fof(f27413,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f1164,f1161]) ).
fof(f1164,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3)))),
inference(resolution,[],[f1124,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n004.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 : Fri May 3 13:20:18 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (17411)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (17416)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]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 % (17415)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)
% 0.13/0.36 % (17413)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (17419)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)
% 0.13/0.36 % (17417)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (17418)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (17414)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [3]
% 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 TRYING [4]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [5]
% 0.19/0.39 TRYING [5]
% 0.19/0.39 TRYING [5]
% 0.19/0.39 TRYING [5]
% 0.19/0.44 TRYING [6]
% 0.19/0.48 TRYING [6]
% 0.19/0.48 TRYING [6]
% 0.19/0.49 TRYING [6]
% 3.34/0.85 TRYING [7]
% 3.64/0.86 TRYING [7]
% 3.64/0.87 TRYING [7]
% 3.64/0.89 TRYING [7]
% 12.85/2.23 % (17417)First to succeed.
% 12.85/2.23 % (17417)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17411"
% 12.85/2.24 % (17417)Refutation found. Thanks to Tanya!
% 12.85/2.24 % SZS status Unsatisfiable for theBenchmark
% 12.85/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 12.85/2.24 % (17417)------------------------------
% 12.85/2.24 % (17417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.85/2.24 % (17417)Termination reason: Refutation
% 12.85/2.24
% 12.85/2.24 % (17417)Memory used [KB]: 21572
% 12.85/2.24 % (17417)Time elapsed: 1.876 s
% 12.85/2.24 % (17417)Instructions burned: 4515 (million)
% 12.85/2.24 % (17411)Success in time 1.88 s
%------------------------------------------------------------------------------