TSTP Solution File: LCL090-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : 600s
% DateTime : Sun Jul 17 14:34:32 EDT 2022
% Result : Unsatisfiable 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of clauses : 41 ( 26 unt; 0 nHn; 41 RR)
% Number of literals : 57 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(v) ),
file('LCL090-1.p',unknown),
[] ).
cnf(2,axiom,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,x)),implies__dfg(implies__dfg(x,u),implies__dfg(y,implies__dfg(w,u))))),
file('LCL090-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(implies__dfg(a,a)),
file('LCL090-1.p',unknown),
[] ).
cnf(7,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,x)))
| is_a_theorem(implies__dfg(implies__dfg(x,u),implies__dfg(y,implies__dfg(w,u)))) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.0,1.1')] ).
cnf(8,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(w,x)),implies__dfg(y,implies__dfg(implies__dfg(z,w),implies__dfg(w,x))))),
inference(sor,[status(thm)],[7,2]),
[iquote('0:SoR:7.0,2.0')] ).
cnf(9,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(v,w)),implies__dfg(x,implies__dfg(y,v))),implies__dfg(z,implies__dfg(x1,implies__dfg(x,implies__dfg(y,v)))))),
inference(sor,[status(thm)],[7,8]),
[iquote('0:SoR:7.0,8.0')] ).
cnf(10,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(w,x)))
| is_a_theorem(implies__dfg(y,implies__dfg(implies__dfg(z,w),implies__dfg(w,x)))) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.1')] ).
cnf(11,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(implies__dfg(x,y),implies__dfg(y,w)))))),
inference(sor,[status(thm)],[10,8]),
[iquote('0:SoR:10.0,8.0')] ).
cnf(14,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(implies__dfg(x,y),implies__dfg(y,w))))) ),
inference(res,[status(thm),theory(equality)],[11,1]),
[iquote('0:Res:11.0,1.1')] ).
cnf(15,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(v,implies__dfg(implies__dfg(w,x),implies__dfg(x,v))))),
inference(ems,[status(thm)],[14,11]),
[iquote('0:EmS:14.0,11.0')] ).
cnf(18,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(v,w)),x),implies__dfg(y,implies__dfg(w,x)))),
inference(sor,[status(thm)],[7,15]),
[iquote('0:SoR:7.0,15.0')] ).
cnf(20,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,x))),implies__dfg(implies__dfg(y,x),implies__dfg(x,z))),implies__dfg(x1,implies__dfg(x2,implies__dfg(implies__dfg(y,x),implies__dfg(x,z)))))),
inference(sor,[status(thm)],[7,9]),
[iquote('0:SoR:7.0,9.0')] ).
cnf(30,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(x,implies__dfg(y,w)))))),
inference(sor,[status(thm)],[10,18]),
[iquote('0:SoR:10.0,18.0')] ).
cnf(33,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,u))),x),implies__dfg(y,implies__dfg(implies__dfg(z,u),x)))),
inference(sor,[status(thm)],[7,30]),
[iquote('0:SoR:7.0,30.0')] ).
cnf(35,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(x,implies__dfg(y,w))))) ),
inference(res,[status(thm),theory(equality)],[30,1]),
[iquote('0:Res:30.0,1.1')] ).
cnf(36,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(v,implies__dfg(w,implies__dfg(x,v))))),
inference(ems,[status(thm)],[35,30]),
[iquote('0:EmS:35.0,30.0')] ).
cnf(44,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),x),implies__dfg(y,implies__dfg(w,x)))),
inference(sor,[status(thm)],[7,36]),
[iquote('0:SoR:7.0,36.0')] ).
cnf(62,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,x))),implies__dfg(y,implies__dfg(z,implies__dfg(x1,w)))),implies__dfg(x2,implies__dfg(x3,implies__dfg(y,implies__dfg(z,implies__dfg(x1,w))))))),
inference(sor,[status(thm)],[7,20]),
[iquote('0:SoR:7.0,20.0')] ).
cnf(65,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,x))),implies__dfg(implies__dfg(y,x),implies__dfg(x,z))))
| is_a_theorem(implies__dfg(x1,implies__dfg(x2,implies__dfg(implies__dfg(y,x),implies__dfg(x,z))))) ),
inference(res,[status(thm),theory(equality)],[20,1]),
[iquote('0:Res:20.0,1.1')] ).
cnf(100,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),x),implies__dfg(x,implies__dfg(y,x)))))),
inference(sor,[status(thm)],[65,2]),
[iquote('0:SoR:65.0,2.0')] ).
cnf(130,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,x))),implies__dfg(y,implies__dfg(z,implies__dfg(x1,w)))))
| is_a_theorem(implies__dfg(x2,implies__dfg(x3,implies__dfg(y,implies__dfg(z,implies__dfg(x1,w)))))) ),
inference(res,[status(thm),theory(equality)],[62,1]),
[iquote('0:Res:62.0,1.1')] ).
cnf(174,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),implies__dfg(v,implies__dfg(w,v))),x),implies__dfg(y,implies__dfg(z,x)))),
inference(sor,[status(thm)],[7,100]),
[iquote('0:SoR:7.0,100.0')] ).
cnf(246,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),w),implies__dfg(y,implies__dfg(implies__dfg(z,w),w)))))),
inference(sor,[status(thm)],[130,2]),
[iquote('0:SoR:130.0,2.0')] ).
cnf(521,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),w),implies__dfg(y,implies__dfg(implies__dfg(z,w),w))))) ),
inference(res,[status(thm),theory(equality)],[246,1]),
[iquote('0:Res:246.0,1.1')] ).
cnf(920,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(x,implies__dfg(implies__dfg(y,v),v))))),
inference(ems,[status(thm)],[521,174]),
[iquote('0:EmS:521.0,174.0')] ).
cnf(983,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(x,implies__dfg(implies__dfg(y,v),v)))) ),
inference(res,[status(thm),theory(equality)],[920,1]),
[iquote('0:Res:920.0,1.1')] ).
cnf(1046,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(w,implies__dfg(implies__dfg(x,u),u)))),
inference(ems,[status(thm)],[983,174]),
[iquote('0:EmS:983.0,174.0')] ).
cnf(1121,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(implies__dfg(w,implies__dfg(implies__dfg(x,u),u))) ),
inference(res,[status(thm),theory(equality)],[1046,1]),
[iquote('0:Res:1046.0,1.1')] ).
cnf(1156,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,implies__dfg(w,implies__dfg(x,x))),implies__dfg(w,implies__dfg(x,x))))),
inference(sor,[status(thm)],[1121,44]),
[iquote('0:SoR:1121.0,44.0')] ).
cnf(1177,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,implies__dfg(w,implies__dfg(x,x))),implies__dfg(w,implies__dfg(x,x)))) ),
inference(res,[status(thm),theory(equality)],[1156,1]),
[iquote('0:Res:1156.0,1.1')] ).
cnf(1179,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,w))),implies__dfg(v,implies__dfg(w,w)))),
inference(ems,[status(thm)],[1177,174]),
[iquote('0:EmS:1177.0,174.0')] ).
cnf(1274,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),implies__dfg(w,implies__dfg(x,v)))),
inference(sor,[status(thm)],[7,1179]),
[iquote('0:SoR:7.0,1179.0')] ).
cnf(1285,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,w))))
| is_a_theorem(implies__dfg(v,implies__dfg(w,w))) ),
inference(res,[status(thm),theory(equality)],[1179,1]),
[iquote('0:Res:1179.0,1.1')] ).
cnf(1593,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,u),v))
| is_a_theorem(implies__dfg(w,implies__dfg(x,v))) ),
inference(res,[status(thm),theory(equality)],[1274,1]),
[iquote('0:Res:1274.0,1.1')] ).
cnf(1716,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(x,x))))),
inference(sor,[status(thm)],[1593,1179]),
[iquote('0:SoR:1593.0,1179.0')] ).
cnf(1801,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(x,x)))) ),
inference(res,[status(thm),theory(equality)],[1716,1]),
[iquote('0:Res:1716.0,1.1')] ).
cnf(1803,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,w)))),
inference(ems,[status(thm)],[1801,33]),
[iquote('0:EmS:1801.0,33.0')] ).
cnf(1857,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,v))),
inference(mrr,[status(thm)],[1285,1803]),
[iquote('0:MRR:1285.0,1803.0')] ).
cnf(1879,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,v)) ),
inference(res,[status(thm),theory(equality)],[1857,1]),
[iquote('0:Res:1857.0,1.1')] ).
cnf(1881,plain,
is_a_theorem(implies__dfg(u,u)),
inference(ems,[status(thm)],[1879,33]),
[iquote('0:EmS:1879.0,33.0')] ).
cnf(1932,plain,
$false,
inference(unc,[status(thm)],[1881,3]),
[iquote('0:UnC:1881.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sat Jul 2 22:47:43 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.54/0.71
% 0.54/0.71 SPASS V 3.9
% 0.54/0.71 SPASS beiseite: Proof found.
% 0.54/0.71 % SZS status Theorem
% 0.54/0.71 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71 SPASS derived 1899 clauses, backtracked 0 clauses, performed 0 splits and kept 383 clauses.
% 0.54/0.71 SPASS allocated 78718 KBytes.
% 0.54/0.71 SPASS spent 0:00:00.37 on the problem.
% 0.54/0.71 0:00:00.04 for the input.
% 0.54/0.71 0:00:00.00 for the FLOTTER CNF translation.
% 0.54/0.71 0:00:00.06 for inferences.
% 0.54/0.71 0:00:00.00 for the backtracking.
% 0.54/0.71 0:00:00.24 for the reduction.
% 0.54/0.71
% 0.54/0.71
% 0.54/0.71 Here is a proof with depth 20, length 41 :
% 0.54/0.71 % SZS output start Refutation
% See solution above
% 0.54/0.71 Formulae used in the proof : condensed_detachment ic_JLukasiewicz_5 prove_ic_1
% 0.54/0.71
%------------------------------------------------------------------------------