TSTP Solution File: LCL080-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 07:42:22 EDT 2023
% Result : Unsatisfiable 76.79s 11.27s
% Output : CNFRefutation 76.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 82 ( 40 unt; 0 nHn; 24 RR)
% Number of literals : 134 ( 0 equ; 54 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 237 ( 61 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_51,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_2) ).
cnf(c_52,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_3) ).
cnf(c_53,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_4) ).
cnf(c_54,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_JLukasiewicz) ).
cnf(c_91,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_108,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_124,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_108,c_49]) ).
cnf(c_125,plain,
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_91]) ).
cnf(c_156,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_163,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_184,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_163,c_125]) ).
cnf(c_189,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_51,c_124]) ).
cnf(c_190,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X0,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_124]) ).
cnf(c_191,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_53,c_124]) ).
cnf(c_192,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_156,c_124]) ).
cnf(c_236,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_51,c_189]) ).
cnf(c_238,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_53,c_189]) ).
cnf(c_272,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(X2,X3)) ),
inference(superposition,[status(thm)],[c_236,c_124]) ).
cnf(c_275,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(superposition,[status(thm)],[c_236,c_189]) ).
cnf(c_306,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) ),
inference(superposition,[status(thm)],[c_52,c_192]) ).
cnf(c_431,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_190,c_49]) ).
cnf(c_432,plain,
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_190,c_306]) ).
cnf(c_468,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_190,c_272]) ).
cnf(c_986,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_432]) ).
cnf(c_2453,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_238,c_49]) ).
cnf(c_2468,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_275,c_125]) ).
cnf(c_2480,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_2453,c_125]) ).
cnf(c_2581,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_986,c_184]) ).
cnf(c_2588,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_2581,c_49]) ).
cnf(c_2602,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_2468,c_2588]) ).
cnf(c_2643,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c_2480,c_124]) ).
cnf(c_2656,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_2581,c_124]) ).
cnf(c_2657,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_2602,c_124]) ).
cnf(c_2861,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3))))),
inference(superposition,[status(thm)],[c_51,c_191]) ).
cnf(c_2862,plain,
is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_52,c_191]) ).
cnf(c_2863,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_53,c_191]) ).
cnf(c_2866,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_2480,c_191]) ).
cnf(c_2903,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2862,c_191]) ).
cnf(c_2913,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_2861,c_468]) ).
cnf(c_2923,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_2656,c_49]) ).
cnf(c_3042,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2903,c_468]) ).
cnf(c_3045,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),
inference(superposition,[status(thm)],[c_2903,c_2657]) ).
cnf(c_3051,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_3042,c_124]) ).
cnf(c_3074,plain,
is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),X2)),
inference(superposition,[status(thm)],[c_3045,c_184]) ).
cnf(c_3128,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_53,c_2923]) ).
cnf(c_3394,plain,
is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))),
inference(superposition,[status(thm)],[c_3074,c_191]) ).
cnf(c_3494,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2))),
inference(superposition,[status(thm)],[c_3394,c_191]) ).
cnf(c_4354,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_2468,c_432]) ).
cnf(c_4371,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_2913,c_432]) ).
cnf(c_4452,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_2866,c_468]) ).
cnf(c_4457,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_2866,c_272]) ).
cnf(c_4742,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(superposition,[status(thm)],[c_3494,c_4457]) ).
cnf(c_5021,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_4354,c_431]) ).
cnf(c_5073,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(superposition,[status(thm)],[c_4742,c_432]) ).
cnf(c_5266,plain,
is_a_theorem(implies(implies(implies(X0,implies(implies(X0,X1),X1)),X2),X2)),
inference(superposition,[status(thm)],[c_5073,c_184]) ).
cnf(c_5376,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X0),X1),X2))),
inference(superposition,[status(thm)],[c_2863,c_5021]) ).
cnf(c_182173,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_182539,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) ),
inference(superposition,[status(thm)],[c_52,c_192]) ).
cnf(c_182582,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X3,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_4452,c_182539]) ).
cnf(c_182785,plain,
( ~ is_a_theorem(implies(implies(X0,implies(implies(X0,X1),implies(X2,X1))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_4371,c_431]) ).
cnf(c_183116,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_5266,c_3128]) ).
cnf(c_183213,plain,
is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))),
inference(superposition,[status(thm)],[c_5266,c_191]) ).
cnf(c_183940,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(superposition,[status(thm)],[c_53,c_182785]) ).
cnf(c_184156,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) ),
inference(superposition,[status(thm)],[c_183213,c_49]) ).
cnf(c_184338,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_184156,c_49]) ).
cnf(c_184371,plain,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_183940,c_191]) ).
cnf(c_184383,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X2),X2)) ),
inference(superposition,[status(thm)],[c_52,c_184338]) ).
cnf(c_184623,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_184371,c_49]) ).
cnf(c_184900,plain,
~ is_a_theorem(implies(implies(c,a),implies(implies(implies(a,b),c),a))),
inference(superposition,[status(thm)],[c_184623,c_54]) ).
cnf(c_185338,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_182173,c_3051]) ).
cnf(c_185382,plain,
is_a_theorem(implies(X0,implies(implies(implies(implies(X0,X1),X1),X2),X2))),
inference(superposition,[status(thm)],[c_183116,c_3051]) ).
cnf(c_191345,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_2643,c_49]) ).
cnf(c_191410,plain,
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_52,c_191345]) ).
cnf(c_195655,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
| is_a_theorem(implies(X2,X0)) ),
inference(superposition,[status(thm)],[c_5376,c_191410]) ).
cnf(c_195785,plain,
is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),X2),X0),X0)),
inference(superposition,[status(thm)],[c_185382,c_195655]) ).
cnf(c_196220,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_195785,c_182582]) ).
cnf(c_196242,plain,
is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),X2)),
inference(superposition,[status(thm)],[c_196220,c_184383]) ).
cnf(c_196447,plain,
is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_196242,c_191]) ).
cnf(c_196536,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(superposition,[status(thm)],[c_196447,c_191]) ).
cnf(c_197139,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1))),
inference(superposition,[status(thm)],[c_196536,c_185338]) ).
cnf(c_197156,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_184900,c_197139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.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 : Thu Aug 24 17:30:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 76.79/11.27 % SZS status Started for theBenchmark.p
% 76.79/11.27 % SZS status Unsatisfiable for theBenchmark.p
% 76.79/11.27
% 76.79/11.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 76.79/11.27
% 76.79/11.27 ------ iProver source info
% 76.79/11.27
% 76.79/11.27 git: date: 2023-05-31 18:12:56 +0000
% 76.79/11.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 76.79/11.27 git: non_committed_changes: false
% 76.79/11.27 git: last_make_outside_of_git: false
% 76.79/11.27
% 76.79/11.27 ------ Parsing...successful
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 76.79/11.27
% 76.79/11.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 76.79/11.27 ------ Proving...
% 76.79/11.27 ------ Problem Properties
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27 clauses 6
% 76.79/11.27 conjectures 1
% 76.79/11.27 EPR 0
% 76.79/11.27 Horn 6
% 76.79/11.27 unary 5
% 76.79/11.27 binary 0
% 76.79/11.27 lits 8
% 76.79/11.27 lits eq 0
% 76.79/11.27 fd_pure 0
% 76.79/11.27 fd_pseudo 0
% 76.79/11.27 fd_cond 0
% 76.79/11.27 fd_pseudo_cond 0
% 76.79/11.27 AC symbols 0
% 76.79/11.27
% 76.79/11.27 ------ Input Options Time Limit: Unbounded
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27 ------
% 76.79/11.27 Current options:
% 76.79/11.27 ------
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27 ------ Proving...
% 76.79/11.27
% 76.79/11.27
% 76.79/11.27 % SZS status Unsatisfiable for theBenchmark.p
% 76.79/11.27
% 76.79/11.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 76.79/11.27
% 76.79/11.27
%------------------------------------------------------------------------------