TSTP Solution File: LCL095-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL095-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 07:42:27 EDT 2023
% Result : Unsatisfiable 20.39s 3.70s
% Output : CNFRefutation 20.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of clauses : 70 ( 40 unt; 0 nHn; 5 RR)
% Number of literals : 103 ( 0 equ; 34 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 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 : 297 ( 180 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(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_5) ).
cnf(c_205,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_208,plain,
is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(superposition,[status(thm)],[c_50,c_205]) ).
cnf(c_209,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))
| is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))) ),
inference(superposition,[status(thm)],[c_208,c_49]) ).
cnf(c_213,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_208,c_209]) ).
cnf(c_214,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
inference(superposition,[status(thm)],[c_213,c_49]) ).
cnf(c_219,plain,
is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(superposition,[status(thm)],[c_50,c_214]) ).
cnf(c_236,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_219,c_205]) ).
cnf(c_336,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_236,c_209]) ).
cnf(c_407,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
inference(superposition,[status(thm)],[c_336,c_49]) ).
cnf(c_416,plain,
is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_50,c_407]) ).
cnf(c_3456,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) ),
inference(superposition,[status(thm)],[c_416,c_49]) ).
cnf(c_3459,plain,
is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X0))),implies(X3,implies(X4,implies(X0,implies(X1,implies(X2,X0))))))),
inference(superposition,[status(thm)],[c_416,c_3456]) ).
cnf(c_3460,plain,
is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),implies(X4,implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1))))))),
inference(superposition,[status(thm)],[c_50,c_3456]) ).
cnf(c_3461,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_3465,plain,
is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_416,c_3461]) ).
cnf(c_3466,plain,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X4,implies(X0,implies(X1,X2)))))),
inference(superposition,[status(thm)],[c_3465,c_3456]) ).
cnf(c_3467,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(X4,implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_3465,c_49]) ).
cnf(c_3468,plain,
is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,X0))),implies(X4,implies(X5,implies(X2,implies(X3,X0)))))),
inference(superposition,[status(thm)],[c_3465,c_3461]) ).
cnf(c_3471,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_50,c_3467]) ).
cnf(c_3473,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_3465,c_3467]) ).
cnf(c_3476,plain,
is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,implies(X3,X1)))),X1),implies(X4,implies(X5,X1)))),
inference(superposition,[status(thm)],[c_3459,c_3461]) ).
cnf(c_3478,plain,
is_a_theorem(implies(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))),implies(X6,implies(X7,implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))))),
inference(superposition,[status(thm)],[c_3460,c_3456]) ).
cnf(c_3489,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X1))))))),
inference(superposition,[status(thm)],[c_3466,c_3467]) ).
cnf(c_3491,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X0))))
| is_a_theorem(implies(X4,implies(X5,implies(X2,implies(X3,X0))))) ),
inference(superposition,[status(thm)],[c_3468,c_49]) ).
cnf(c_3495,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) ),
inference(superposition,[status(thm)],[c_3471,c_49]) ).
cnf(c_3496,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(X0,X4)))),
inference(superposition,[status(thm)],[c_3471,c_3461]) ).
cnf(c_3503,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))) ),
inference(superposition,[status(thm)],[c_3473,c_49]) ).
cnf(c_3566,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(superposition,[status(thm)],[c_3476,c_3503]) ).
cnf(c_3569,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X0)))) ),
inference(superposition,[status(thm)],[c_3566,c_49]) ).
cnf(c_3576,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(X2,implies(X3,X0))) ),
inference(superposition,[status(thm)],[c_3569,c_49]) ).
cnf(c_3603,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_3476,c_3576]) ).
cnf(c_3608,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(X2,X0)) ),
inference(superposition,[status(thm)],[c_3603,c_49]) ).
cnf(c_3661,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X1)))))) ),
inference(superposition,[status(thm)],[c_3489,c_49]) ).
cnf(c_3668,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))),
inference(superposition,[status(thm)],[c_50,c_3491]) ).
cnf(c_3719,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_3478,c_3495]) ).
cnf(c_3836,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_3496,c_3608]) ).
cnf(c_3857,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X0,X2)))) ),
inference(superposition,[status(thm)],[c_3836,c_3461]) ).
cnf(c_3876,plain,
is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X3,X5),X2),X3)))),
inference(superposition,[status(thm)],[c_3719,c_3461]) ).
cnf(c_4547,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))) ),
inference(superposition,[status(thm)],[c_3668,c_49]) ).
cnf(c_5083,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X0)))))),
inference(superposition,[status(thm)],[c_3668,c_3661]) ).
cnf(c_5221,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X2,X2))))),
inference(superposition,[status(thm)],[c_5083,c_4547]) ).
cnf(c_5223,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) ),
inference(superposition,[status(thm)],[c_5221,c_49]) ).
cnf(c_5819,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_5083,c_5223]) ).
cnf(c_5834,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_5819,c_3491]) ).
cnf(c_5838,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
inference(superposition,[status(thm)],[c_5834,c_49]) ).
cnf(c_6071,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_5083,c_5838]) ).
cnf(c_6077,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) ),
inference(superposition,[status(thm)],[c_6071,c_49]) ).
cnf(c_6634,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_5083,c_6077]) ).
cnf(c_6649,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_6634,c_3461]) ).
cnf(c_6818,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0)))),
inference(superposition,[status(thm)],[c_6649,c_3461]) ).
cnf(c_8808,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,implies(X3,X0))) ),
inference(superposition,[status(thm)],[c_6818,c_49]) ).
cnf(c_9066,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X2,implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_3496,c_8808]) ).
cnf(c_9130,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))),
inference(superposition,[status(thm)],[c_3876,c_8808]) ).
cnf(c_11642,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X2,implies(X4,X3))))) ),
inference(superposition,[status(thm)],[c_9066,c_49]) ).
cnf(c_11681,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))) ),
inference(superposition,[status(thm)],[c_9130,c_49]) ).
cnf(c_20230,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_5083,c_11642]) ).
cnf(c_20262,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_20230,c_49]) ).
cnf(c_20506,plain,
is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_5083,c_20262]) ).
cnf(c_24642,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(superposition,[status(thm)],[c_5083,c_11681]) ).
cnf(c_24679,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
inference(superposition,[status(thm)],[c_24642,c_49]) ).
cnf(c_24998,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_24642,c_24679]) ).
cnf(c_25003,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
inference(superposition,[status(thm)],[c_24998,c_49]) ).
cnf(c_27202,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_24642,c_25003]) ).
cnf(c_27208,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_27202,c_49]) ).
cnf(c_27304,plain,
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_3857,c_27208]) ).
cnf(c_35840,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_20506,c_27304]) ).
cnf(c_36024,plain,
$false,
inference(superposition,[status(thm)],[c_35840,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL095-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 17:10:49 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.39/3.70 % SZS status Started for theBenchmark.p
% 20.39/3.70 % SZS status Unsatisfiable for theBenchmark.p
% 20.39/3.70
% 20.39/3.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.39/3.70
% 20.39/3.70 ------ iProver source info
% 20.39/3.70
% 20.39/3.70 git: date: 2023-05-31 18:12:56 +0000
% 20.39/3.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.39/3.70 git: non_committed_changes: false
% 20.39/3.70 git: last_make_outside_of_git: false
% 20.39/3.70
% 20.39/3.70 ------ Parsing...successful
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 20.39/3.70
% 20.39/3.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.39/3.70 ------ Proving...
% 20.39/3.70 ------ Problem Properties
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70 clauses 3
% 20.39/3.70 conjectures 1
% 20.39/3.70 EPR 0
% 20.39/3.70 Horn 3
% 20.39/3.70 unary 2
% 20.39/3.70 binary 0
% 20.39/3.70 lits 5
% 20.39/3.70 lits eq 0
% 20.39/3.70 fd_pure 0
% 20.39/3.70 fd_pseudo 0
% 20.39/3.70 fd_cond 0
% 20.39/3.70 fd_pseudo_cond 0
% 20.39/3.70 AC symbols 0
% 20.39/3.70
% 20.39/3.70 ------ Input Options Time Limit: Unbounded
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70 ------
% 20.39/3.70 Current options:
% 20.39/3.70 ------
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70 ------ Proving...
% 20.39/3.70
% 20.39/3.70
% 20.39/3.70 % SZS status Unsatisfiable for theBenchmark.p
% 20.39/3.70
% 20.39/3.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.39/3.70
% 20.39/3.70
%------------------------------------------------------------------------------