TSTP Solution File: LCL119-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL119-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 14:34:46 EDT 2022
% Result : Unsatisfiable 56.87s 57.32s
% Output : Refutation 56.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of clauses : 46 ( 25 unt; 0 nHn; 46 RR)
% Number of literals : 75 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(u)
| ~ is_a_theorem(equivalent(u,v))
| is_a_theorem(v) ),
file('LCL119-1.p',unknown),
[] ).
cnf(2,axiom,
is_a_theorem(equivalent(u,equivalent(equivalent(v,equivalent(w,u)),equivalent(v,w)))),
file('LCL119-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(b,a)))),
file('LCL119-1.p',unknown),
[] ).
cnf(7,plain,
( ~ is_a_theorem(u)
| is_a_theorem(equivalent(equivalent(v,equivalent(w,u)),equivalent(v,w))) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.0,1.1')] ).
cnf(8,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(equivalent(v,equivalent(w,u)))
| is_a_theorem(equivalent(v,w)) ),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.1,1.1')] ).
cnf(9,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(equivalent(equivalent(w,equivalent(u,v)),w)) ),
inference(sor,[status(thm)],[8,7]),
[iquote('0:SoR:8.1,7.1')] ).
cnf(10,plain,
( ~ is_a_theorem(equivalent(u,v))
| is_a_theorem(equivalent(w,equivalent(u,equivalent(v,w)))) ),
inference(sor,[status(thm)],[8,2]),
[iquote('0:SoR:8.1,2.0')] ).
cnf(11,plain,
( ~ is_a_theorem(u)
| is_a_theorem(equivalent(v,equivalent(equivalent(w,equivalent(x,u)),equivalent(equivalent(w,x),v)))) ),
inference(sor,[status(thm)],[10,7]),
[iquote('0:SoR:10.0,7.1')] ).
cnf(12,plain,
is_a_theorem(equivalent(u,equivalent(v,equivalent(equivalent(equivalent(w,equivalent(x,v)),equivalent(w,x)),u)))),
inference(sor,[status(thm)],[10,2]),
[iquote('0:SoR:10.0,2.0')] ).
cnf(15,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| ~ is_a_theorem(equivalent(w,equivalent(u,v)))
| is_a_theorem(w) ),
inference(res,[status(thm),theory(equality)],[9,1]),
[iquote('0:Res:9.2,1.1')] ).
cnf(18,plain,
( ~ is_a_theorem(equivalent(u,equivalent(v,w)))
| ~ is_a_theorem(equivalent(u,v))
| is_a_theorem(w) ),
inference(sor,[status(thm)],[15,2]),
[iquote('0:SoR:15.2,2.0')] ).
cnf(21,plain,
( ~ is_a_theorem(equivalent(u,equivalent(v,equivalent(w,u))))
| is_a_theorem(equivalent(v,w)) ),
inference(sor,[status(thm)],[18,2]),
[iquote('0:SoR:18.0,2.0')] ).
cnf(24,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(u,equivalent(v,w)),equivalent(u,v)),x))
| is_a_theorem(equivalent(x,w)) ),
inference(sor,[status(thm)],[8,12]),
[iquote('0:SoR:8.1,12.0')] ).
cnf(29,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(v,v)),u)),
inference(sor,[status(thm)],[21,2]),
[iquote('0:SoR:21.0,2.0')] ).
cnf(35,plain,
( ~ is_a_theorem(equivalent(u,equivalent(v,v)))
| is_a_theorem(u) ),
inference(res,[status(thm),theory(equality)],[29,1]),
[iquote('0:Res:29.0,1.1')] ).
cnf(36,plain,
is_a_theorem(equivalent(equivalent(u,u),equivalent(v,v))),
inference(sor,[status(thm)],[35,29]),
[iquote('0:SoR:35.0,29.0')] ).
cnf(43,plain,
( ~ is_a_theorem(equivalent(equivalent(u,u),v))
| is_a_theorem(v) ),
inference(sor,[status(thm)],[18,36]),
[iquote('0:SoR:18.0,36.0')] ).
cnf(45,plain,
is_a_theorem(equivalent(u,u)),
inference(sor,[status(thm)],[35,36]),
[iquote('0:SoR:35.0,36.0')] ).
cnf(52,plain,
( ~ is_a_theorem(equivalent(u,equivalent(v,equivalent(w,x))))
| ~ is_a_theorem(x)
| is_a_theorem(equivalent(equivalent(v,w),u)) ),
inference(sor,[status(thm)],[18,11]),
[iquote('0:SoR:18.0,11.1')] ).
cnf(56,plain,
is_a_theorem(equivalent(u,equivalent(v,equivalent(v,u)))),
inference(sor,[status(thm)],[10,45]),
[iquote('0:SoR:10.0,45.0')] ).
cnf(57,plain,
( ~ is_a_theorem(u)
| is_a_theorem(equivalent(equivalent(v,u),v)) ),
inference(sor,[status(thm)],[8,45]),
[iquote('0:SoR:8.1,45.0')] ).
cnf(64,plain,
( ~ is_a_theorem(equivalent(u,v))
| is_a_theorem(equivalent(v,u)) ),
inference(sor,[status(thm)],[8,56]),
[iquote('0:SoR:8.1,56.0')] ).
cnf(105,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(v,equivalent(w,w))),equivalent(u,v))),
inference(sor,[status(thm)],[43,2]),
[iquote('0:SoR:43.0,2.0')] ).
cnf(130,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(equivalent(v,u))
| is_a_theorem(v) ),
inference(res,[status(thm),theory(equality)],[57,1]),
[iquote('0:Res:57.1,1.1')] ).
cnf(152,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(u,v)),v)),
inference(sor,[status(thm)],[64,56]),
[iquote('0:SoR:64.0,56.0')] ).
cnf(161,plain,
is_a_theorem(equivalent(u,equivalent(equivalent(v,equivalent(v,w)),equivalent(w,u)))),
inference(sor,[status(thm)],[10,152]),
[iquote('0:SoR:10.0,152.0')] ).
cnf(319,plain,
is_a_theorem(equivalent(equivalent(equivalent(u,equivalent(equivalent(v,v),w)),u),w)),
inference(sor,[status(thm)],[24,105]),
[iquote('0:SoR:24.0,105.0')] ).
cnf(372,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(u,v)),equivalent(v,equivalent(w,w)))),
inference(sor,[status(thm)],[43,161]),
[iquote('0:SoR:43.0,161.0')] ).
cnf(530,plain,
is_a_theorem(equivalent(u,equivalent(equivalent(v,equivalent(equivalent(w,w),u)),v))),
inference(sor,[status(thm)],[64,319]),
[iquote('0:SoR:64.0,319.0')] ).
cnf(602,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(v,v)),equivalent(w,equivalent(w,u)))),
inference(sor,[status(thm)],[64,372]),
[iquote('0:SoR:64.0,372.0')] ).
cnf(722,plain,
is_a_theorem(equivalent(equivalent(equivalent(u,v),equivalent(equivalent(w,w),v)),u)),
inference(sor,[status(thm)],[21,530]),
[iquote('0:SoR:21.0,530.0')] ).
cnf(820,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(u,equivalent(v,equivalent(v,w)))),w)),
inference(sor,[status(thm)],[24,602]),
[iquote('0:SoR:24.0,602.0')] ).
cnf(874,plain,
( ~ is_a_theorem(u)
| is_a_theorem(equivalent(equivalent(u,v),equivalent(equivalent(w,w),v))) ),
inference(sor,[status(thm)],[130,722]),
[iquote('0:SoR:130.1,722.0')] ).
cnf(921,plain,
is_a_theorem(equivalent(u,equivalent(v,equivalent(v,equivalent(w,equivalent(w,u)))))),
inference(sor,[status(thm)],[64,820]),
[iquote('0:SoR:64.0,820.0')] ).
cnf(6742,plain,
( ~ is_a_theorem(u)
| is_a_theorem(equivalent(equivalent(equivalent(v,v),w),equivalent(u,w))) ),
inference(sor,[status(thm)],[64,874]),
[iquote('0:SoR:64.0,874.1')] ).
cnf(12502,plain,
( ~ is_a_theorem(u)
| is_a_theorem(equivalent(equivalent(u,equivalent(equivalent(v,w),v)),w)) ),
inference(sor,[status(thm)],[24,6742]),
[iquote('0:SoR:24.0,6742.1')] ).
cnf(13974,plain,
( ~ is_a_theorem(equivalent(equivalent(u,v),equivalent(u,w)))
| is_a_theorem(equivalent(v,w)) ),
inference(sor,[status(thm)],[24,12502]),
[iquote('0:SoR:24.0,12502.1')] ).
cnf(14507,plain,
is_a_theorem(equivalent(u,equivalent(v,equivalent(w,equivalent(w,equivalent(v,u)))))),
inference(sor,[status(thm)],[13974,921]),
[iquote('0:SoR:13974.0,921.0')] ).
cnf(14658,plain,
( ~ is_a_theorem(equivalent(u,equivalent(v,w)))
| is_a_theorem(equivalent(equivalent(v,u),w)) ),
inference(sor,[status(thm)],[52,14507]),
[iquote('0:SoR:52.0,14507.0')] ).
cnf(15131,plain,
is_a_theorem(equivalent(equivalent(equivalent(u,equivalent(v,w)),w),equivalent(u,v))),
inference(sor,[status(thm)],[14658,2]),
[iquote('0:SoR:14658.0,2.0')] ).
cnf(16455,plain,
is_a_theorem(equivalent(equivalent(u,v),equivalent(equivalent(u,equivalent(v,w)),w))),
inference(sor,[status(thm)],[64,15131]),
[iquote('0:SoR:64.0,15131.0')] ).
cnf(16999,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(v,equivalent(w,equivalent(u,v)))),w)),
inference(sor,[status(thm)],[21,16455]),
[iquote('0:SoR:21.0,16455.0')] ).
cnf(17539,plain,
is_a_theorem(equivalent(u,equivalent(v,equivalent(w,equivalent(u,equivalent(v,w)))))),
inference(sor,[status(thm)],[64,16999]),
[iquote('0:SoR:64.0,16999.0')] ).
cnf(18135,plain,
is_a_theorem(equivalent(equivalent(u,v),equivalent(w,equivalent(v,equivalent(u,w))))),
inference(sor,[status(thm)],[14658,17539]),
[iquote('0:SoR:14658.0,17539.0')] ).
cnf(18958,plain,
is_a_theorem(equivalent(equivalent(u,equivalent(v,w)),equivalent(w,equivalent(v,u)))),
inference(sor,[status(thm)],[14658,18135]),
[iquote('0:SoR:14658.0,18135.0')] ).
cnf(19031,plain,
$false,
inference(unc,[status(thm)],[18958,3]),
[iquote('0:UnC:18958.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : LCL119-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 4 15:38:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 56.87/57.32
% 56.87/57.32 SPASS V 3.9
% 56.87/57.32 SPASS beiseite: Proof found.
% 56.87/57.32 % SZS status Theorem
% 56.87/57.32 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.87/57.32 SPASS derived 18173 clauses, backtracked 0 clauses, performed 0 splits and kept 7089 clauses.
% 56.87/57.32 SPASS allocated 94696 KBytes.
% 56.87/57.32 SPASS spent 0:0:56.25 on the problem.
% 56.87/57.32 0:00:00.03 for the input.
% 56.87/57.32 0:00:00.00 for the FLOTTER CNF translation.
% 56.87/57.32 0:00:00.34 for inferences.
% 56.87/57.32 0:00:00.00 for the backtracking.
% 56.87/57.32 0:0:55.81 for the reduction.
% 56.87/57.32
% 56.87/57.32
% 56.87/57.32 Here is a proof with depth 26, length 46 :
% 56.87/57.32 % SZS output start Refutation
% See solution above
% 56.87/57.32 Formulae used in the proof : condensed_detachment xgj prove_wo
% 56.87/57.32
%------------------------------------------------------------------------------