TSTP Solution File: LCL050-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Thu Aug 31 07:42:13 EDT 2023
% Result : Unsatisfiable 156.88s 21.36s
% Output : CNFRefutation 156.88s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/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/sandbox/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_144,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_205,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),implies(X1,X3)))) ),
inference(superposition,[status(thm)],[c_144,c_83]) ).
cnf(c_244,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_248,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_416,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_248,c_49]) ).
cnf(c_435,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_436,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_511,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_435,c_85]) ).
cnf(c_530,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_244,c_511]) ).
cnf(c_533,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_530,c_416]) ).
cnf(c_2063,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_2117,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_85]) ).
cnf(c_2330,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_2357,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_2063,c_49]) ).
cnf(c_2369,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_436,c_49]) ).
cnf(c_2382,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_2369]) ).
cnf(c_2597,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_2330,c_85]) ).
cnf(c_4556,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_51,c_2382]) ).
cnf(c_4704,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_4556,c_2597]) ).
cnf(c_4743,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_4704,c_2357]) ).
cnf(c_5483,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_2117,c_4743]) ).
cnf(c_93664,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_93666,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_93715,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_85]) ).
cnf(c_93830,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_533]) ).
cnf(c_93924,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_93983,plain,
is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_5483,c_93664]) ).
cnf(c_93998,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_93983,c_93664]) ).
cnf(c_94009,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_93998,c_98]) ).
cnf(c_94010,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_93998,c_93830]) ).
cnf(c_94061,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_94104,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_93666,c_49]) ).
cnf(c_94186,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_93924,c_85]) ).
cnf(c_94230,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_94236,plain,
~ is_a_theorem(implies(b,implies(implies(b,c),c))),
inference(superposition,[status(thm)],[c_120,c_53]) ).
cnf(c_94250,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_436,c_49]) ).
cnf(c_95169,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_94061]) ).
cnf(c_95400,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_95169,c_49]) ).
cnf(c_96334,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_205,c_94009]) ).
cnf(c_96422,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_94230]) ).
cnf(c_96499,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_96422,c_49]) ).
cnf(c_96956,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_96334,c_96499]) ).
cnf(c_99961,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_94250]) ).
cnf(c_101577,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_94010,c_99961]) ).
cnf(c_101680,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_51,c_96956]) ).
cnf(c_101842,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_101577,c_98]) ).
cnf(c_102173,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_101842]) ).
cnf(c_102414,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_102173,c_83]) ).
cnf(c_102630,plain,
is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(superposition,[status(thm)],[c_51,c_101680]) ).
cnf(c_102705,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_102173,c_101680]) ).
cnf(c_102767,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_102705,c_87]) ).
cnf(c_102896,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X0),X2)))),X3)),
inference(superposition,[status(thm)],[c_102414,c_99961]) ).
cnf(c_103406,plain,
is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(superposition,[status(thm)],[c_102630,c_99961]) ).
cnf(c_103754,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_103406,c_94186]) ).
cnf(c_110727,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_102896,c_95400]) ).
cnf(c_110893,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_110727,c_49]) ).
cnf(c_110961,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_110893,c_49]) ).
cnf(c_129171,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_103754,c_102767]) ).
cnf(c_129288,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_129171,c_83]) ).
cnf(c_130433,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(superposition,[status(thm)],[c_129288,c_83]) ).
cnf(c_130471,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_129288,c_110961]) ).
cnf(c_131218,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_93715,c_130471]) ).
cnf(c_131413,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_131218,c_94104]) ).
cnf(c_135689,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_130433,c_131413]) ).
cnf(c_135704,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_94236,c_135689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 04:28:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 156.88/21.36 % SZS status Started for theBenchmark.p
% 156.88/21.36 % SZS status Unsatisfiable for theBenchmark.p
% 156.88/21.36
% 156.88/21.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 156.88/21.36
% 156.88/21.36 ------ iProver source info
% 156.88/21.36
% 156.88/21.36 git: date: 2023-05-31 18:12:56 +0000
% 156.88/21.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 156.88/21.36 git: non_committed_changes: false
% 156.88/21.36 git: last_make_outside_of_git: false
% 156.88/21.36
% 156.88/21.36 ------ Parsing...successful
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 156.88/21.36
% 156.88/21.36 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 156.88/21.36 ------ Proving...
% 156.88/21.36 ------ Problem Properties
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36 clauses 5
% 156.88/21.36 conjectures 1
% 156.88/21.36 EPR 0
% 156.88/21.36 Horn 5
% 156.88/21.36 unary 4
% 156.88/21.36 binary 0
% 156.88/21.36 lits 7
% 156.88/21.36 lits eq 0
% 156.88/21.36 fd_pure 0
% 156.88/21.36 fd_pseudo 0
% 156.88/21.36 fd_cond 0
% 156.88/21.36 fd_pseudo_cond 0
% 156.88/21.36 AC symbols 0
% 156.88/21.36
% 156.88/21.36 ------ Input Options Time Limit: Unbounded
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36 ------
% 156.88/21.36 Current options:
% 156.88/21.36 ------
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36 ------ Proving...
% 156.88/21.36
% 156.88/21.36
% 156.88/21.36 % SZS status Unsatisfiable for theBenchmark.p
% 156.88/21.36
% 156.88/21.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 156.88/21.36
% 156.88/21.38
%------------------------------------------------------------------------------