TSTP Solution File: LCL050-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Fri May 3 02:36:41 EDT 2024
% Result : Unsatisfiable 189.20s 25.74s
% Output : CNFRefutation 189.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 81 ( 30 unt; 0 nHn; 31 RR)
% Number of literals : 147 ( 0 equ; 68 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 220 ( 50 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_21) ).
cnf(c_79,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_81,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_79,c_49]) ).
cnf(c_83,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_50,c_81]) ).
cnf(c_84,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_81]) ).
cnf(c_85,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_81]) ).
cnf(c_87,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X0,X3))
| is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(superposition,[status(thm)],[c_79,c_81]) ).
cnf(c_97,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X0),X0),X2)) ),
inference(superposition,[status(thm)],[c_84,c_81]) ).
cnf(c_98,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_84,c_49]) ).
cnf(c_112,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_115,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_50,c_85]) ).
cnf(c_120,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_112,c_83]) ).
cnf(c_158,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_115,c_49]) ).
cnf(c_257,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),implies(X1,X3)))) ),
inference(superposition,[status(thm)],[c_158,c_83]) ).
cnf(c_320,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_324,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_560,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_324,c_49]) ).
cnf(c_567,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_51,c_87]) ).
cnf(c_568,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X2)),X3))) ),
inference(superposition,[status(thm)],[c_52,c_87]) ).
cnf(c_706,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_567,c_85]) ).
cnf(c_735,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_320,c_706]) ).
cnf(c_738,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_735,c_560]) ).
cnf(c_2940,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_2994,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_85]) ).
cnf(c_3207,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_51,c_87]) ).
cnf(c_3234,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_2940,c_49]) ).
cnf(c_3246,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_568,c_49]) ).
cnf(c_3259,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_52,c_3246]) ).
cnf(c_3474,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_3207,c_85]) ).
cnf(c_6448,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_51,c_3259]) ).
cnf(c_6710,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_6448,c_3474]) ).
cnf(c_6717,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_6710,c_3234]) ).
cnf(c_7914,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_2994,c_6717]) ).
cnf(c_137486,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_137488,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_137537,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_85]) ).
cnf(c_137652,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_738]) ).
cnf(c_137746,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_51,c_87]) ).
cnf(c_137805,plain,
is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_7914,c_137486]) ).
cnf(c_137820,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_137805,c_137486]) ).
cnf(c_137831,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_137820,c_98]) ).
cnf(c_137832,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_137820,c_137652]) ).
cnf(c_137883,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(not(implies(X2,X0)),implies(X2,X0)),X3)) ),
inference(superposition,[status(thm)],[c_50,c_97]) ).
cnf(c_137926,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_137488,c_49]) ).
cnf(c_138008,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_137746,c_85]) ).
cnf(c_138052,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_120,c_49]) ).
cnf(c_138058,plain,
~ is_a_theorem(implies(b,implies(implies(b,c),c))),
inference(superposition,[status(thm)],[c_120,c_53]) ).
cnf(c_138072,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_568,c_49]) ).
cnf(c_138991,plain,
is_a_theorem(implies(implies(not(implies(X0,X1)),implies(X0,X1)),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_50,c_137883]) ).
cnf(c_139222,plain,
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1)))
| is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_138991,c_49]) ).
cnf(c_140156,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_257,c_137831]) ).
cnf(c_140244,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_51,c_138052]) ).
cnf(c_140321,plain,
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1)))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_140244,c_49]) ).
cnf(c_140778,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_140156,c_140321]) ).
cnf(c_143783,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_52,c_138072]) ).
cnf(c_145403,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_137832,c_143783]) ).
cnf(c_145502,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_51,c_140778]) ).
cnf(c_145664,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_145403,c_98]) ).
cnf(c_145995,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_145664]) ).
cnf(c_146236,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_145995,c_83]) ).
cnf(c_146452,plain,
is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(superposition,[status(thm)],[c_51,c_145502]) ).
cnf(c_146530,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_145995,c_145502]) ).
cnf(c_146589,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_146530,c_87]) ).
cnf(c_146718,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X0),X2)))),X3)),
inference(superposition,[status(thm)],[c_146236,c_143783]) ).
cnf(c_147228,plain,
is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(superposition,[status(thm)],[c_146452,c_143783]) ).
cnf(c_147576,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_147228,c_138008]) ).
cnf(c_154549,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,implies(not(X0),X4)),X1),X2))),
inference(superposition,[status(thm)],[c_146718,c_139222]) ).
cnf(c_154715,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,implies(not(X0),X4)),X1),X2)) ),
inference(superposition,[status(thm)],[c_154549,c_49]) ).
cnf(c_154783,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| ~ is_a_theorem(implies(implies(X1,X3),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_154715,c_49]) ).
cnf(c_172999,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_147576,c_146589]) ).
cnf(c_173227,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_172999,c_83]) ).
cnf(c_174255,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(superposition,[status(thm)],[c_173227,c_83]) ).
cnf(c_174293,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_173227,c_154783]) ).
cnf(c_175253,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_137537,c_174293]) ).
cnf(c_175449,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_175253,c_137926]) ).
cnf(c_179774,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_174255,c_175449]) ).
cnf(c_179789,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_138058,c_179774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 19:37:35 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 189.20/25.74 % SZS status Started for theBenchmark.p
% 189.20/25.74 % SZS status Unsatisfiable for theBenchmark.p
% 189.20/25.74
% 189.20/25.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 189.20/25.74
% 189.20/25.74 ------ iProver source info
% 189.20/25.74
% 189.20/25.74 git: date: 2024-05-02 19:28:25 +0000
% 189.20/25.74 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 189.20/25.74 git: non_committed_changes: false
% 189.20/25.74
% 189.20/25.74 ------ Parsing...successful
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 189.20/25.74
% 189.20/25.74 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 189.20/25.74 ------ Proving...
% 189.20/25.74 ------ Problem Properties
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74 clauses 5
% 189.20/25.74 conjectures 1
% 189.20/25.74 EPR 0
% 189.20/25.74 Horn 5
% 189.20/25.74 unary 4
% 189.20/25.74 binary 0
% 189.20/25.74 lits 7
% 189.20/25.74 lits eq 0
% 189.20/25.74 fd_pure 0
% 189.20/25.74 fd_pseudo 0
% 189.20/25.74 fd_cond 0
% 189.20/25.74 fd_pseudo_cond 0
% 189.20/25.74 AC symbols 0
% 189.20/25.74
% 189.20/25.74 ------ Input Options Time Limit: Unbounded
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74 ------
% 189.20/25.74 Current options:
% 189.20/25.74 ------
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74 ------ Proving...
% 189.20/25.74
% 189.20/25.74
% 189.20/25.74 % SZS status Unsatisfiable for theBenchmark.p
% 189.20/25.74
% 189.20/25.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 189.20/25.74
% 189.20/25.75
%------------------------------------------------------------------------------