TSTP Solution File: LCL088-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL088-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Fri May 3 02:36:48 EDT 2024
% Result : Unsatisfiable 14.03s 2.78s
% Output : CNFRefutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of clauses : 49 ( 28 unt; 0 nHn; 3 RR)
% Number of literals : 72 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 186 ( 95 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(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
cnf(c_346,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_349,plain,
is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_50,c_346]) ).
cnf(c_350,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
inference(superposition,[status(thm)],[c_349,c_49]) ).
cnf(c_354,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_50,c_350]) ).
cnf(c_356,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_354,c_49]) ).
cnf(c_358,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_354,c_346]) ).
cnf(c_361,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_50,c_356]) ).
cnf(c_363,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_354,c_356]) ).
cnf(c_368,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))) ),
inference(superposition,[status(thm)],[c_358,c_49]) ).
cnf(c_372,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_361,c_49]) ).
cnf(c_376,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
inference(superposition,[status(thm)],[c_363,c_49]) ).
cnf(c_396,plain,
is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))),implies(X4,implies(implies(X2,X0),implies(X3,X0))))),
inference(superposition,[status(thm)],[c_50,c_368]) ).
cnf(c_412,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_50,c_372]) ).
cnf(c_430,plain,
is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_50,c_376]) ).
cnf(c_478,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))))
| is_a_theorem(implies(X4,implies(implies(X2,X0),implies(X3,X0)))) ),
inference(superposition,[status(thm)],[c_396,c_49]) ).
cnf(c_503,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_412,c_49]) ).
cnf(c_520,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_430,c_346]) ).
cnf(c_523,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_503,c_49]) ).
cnf(c_545,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_520,c_49]) ).
cnf(c_561,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X5,implies(X1,X3)))) ),
inference(superposition,[status(thm)],[c_354,c_523]) ).
cnf(c_814,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_412,c_478]) ).
cnf(c_1073,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_814,c_545]) ).
cnf(c_1345,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_1073,c_561]) ).
cnf(c_7856,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_1345,c_49]) ).
cnf(c_7859,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1345,c_7856]) ).
cnf(c_7860,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_7859,c_49]) ).
cnf(c_7864,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_7859,c_7860]) ).
cnf(c_7875,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_7882,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(superposition,[status(thm)],[c_7859,c_7875]) ).
cnf(c_7883,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_7864,c_7875]) ).
cnf(c_7884,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))),
inference(superposition,[status(thm)],[c_1345,c_7875]) ).
cnf(c_7895,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_7882,c_49]) ).
cnf(c_7898,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))),
inference(superposition,[status(thm)],[c_7882,c_7875]) ).
cnf(c_7899,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_7883,c_49]) ).
cnf(c_7902,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X4),X2),X3)))),
inference(superposition,[status(thm)],[c_7883,c_7875]) ).
cnf(c_7958,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_7884,c_7895]) ).
cnf(c_7960,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3))) ),
inference(superposition,[status(thm)],[c_7898,c_49]) ).
cnf(c_7979,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_7884,c_7899]) ).
cnf(c_7982,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X4),X2),X3))) ),
inference(superposition,[status(thm)],[c_7902,c_49]) ).
cnf(c_8015,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) ),
inference(superposition,[status(thm)],[c_7979,c_49]) ).
cnf(c_8202,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X0),X1),X2))),
inference(superposition,[status(thm)],[c_7958,c_7960]) ).
cnf(c_8240,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),X1),X2))),
inference(superposition,[status(thm)],[c_7958,c_7982]) ).
cnf(c_8891,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_8240,c_8015]) ).
cnf(c_8943,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
inference(superposition,[status(thm)],[c_8891,c_49]) ).
cnf(c_9101,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_8202,c_8943]) ).
cnf(c_9122,plain,
$false,
inference(superposition,[status(thm)],[c_9101,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL088-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:07:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 14.03/2.78 % SZS status Started for theBenchmark.p
% 14.03/2.78 % SZS status Unsatisfiable for theBenchmark.p
% 14.03/2.78
% 14.03/2.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.03/2.78
% 14.03/2.78 ------ iProver source info
% 14.03/2.78
% 14.03/2.78 git: date: 2024-05-02 19:28:25 +0000
% 14.03/2.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.03/2.78 git: non_committed_changes: false
% 14.03/2.78
% 14.03/2.78 ------ Parsing...successful
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 14.03/2.78
% 14.03/2.78 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.03/2.78 ------ Proving...
% 14.03/2.78 ------ Problem Properties
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78 clauses 3
% 14.03/2.78 conjectures 1
% 14.03/2.78 EPR 0
% 14.03/2.78 Horn 3
% 14.03/2.78 unary 2
% 14.03/2.78 binary 0
% 14.03/2.78 lits 5
% 14.03/2.78 lits eq 0
% 14.03/2.78 fd_pure 0
% 14.03/2.78 fd_pseudo 0
% 14.03/2.78 fd_cond 0
% 14.03/2.78 fd_pseudo_cond 0
% 14.03/2.78 AC symbols 0
% 14.03/2.78
% 14.03/2.78 ------ Input Options Time Limit: Unbounded
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78 ------
% 14.03/2.78 Current options:
% 14.03/2.78 ------
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78 ------ Proving...
% 14.03/2.78
% 14.03/2.78
% 14.03/2.78 % SZS status Unsatisfiable for theBenchmark.p
% 14.03/2.78
% 14.03/2.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.03/2.78
% 14.03/2.79
%------------------------------------------------------------------------------