TSTP Solution File: LCL092-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL092-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:36:49 EDT 2024
% Result : Unsatisfiable 23.33s 4.16s
% Output : CNFRefutation 23.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of clauses : 62 ( 36 unt; 0 nHn; 3 RR)
% Number of literals : 91 ( 0 equ; 30 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 : 278 ( 175 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(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
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_3448,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_3451,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_3448]) ).
cnf(c_3452,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_3448]) ).
cnf(c_3453,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_3457,plain,
is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_416,c_3453]) ).
cnf(c_3459,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(X4,implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_3457,c_49]) ).
cnf(c_3460,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_3457,c_3453]) ).
cnf(c_3463,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_50,c_3459]) ).
cnf(c_3465,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_3457,c_3459]) ).
cnf(c_3468,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_3451,c_3453]) ).
cnf(c_3470,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_3452,c_3448]) ).
cnf(c_3483,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_3460,c_49]) ).
cnf(c_3487,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) ),
inference(superposition,[status(thm)],[c_3463,c_49]) ).
cnf(c_3495,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))) ),
inference(superposition,[status(thm)],[c_3465,c_49]) ).
cnf(c_3510,plain,
is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,implies(X4,X1))))),implies(X5,implies(X6,implies(X2,implies(X1,implies(X3,implies(X4,X1)))))))),
inference(superposition,[status(thm)],[c_3468,c_3453]) ).
cnf(c_3558,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(superposition,[status(thm)],[c_3468,c_3495]) ).
cnf(c_3561,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X0)))) ),
inference(superposition,[status(thm)],[c_3558,c_49]) ).
cnf(c_3568,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(X2,implies(X3,X0))) ),
inference(superposition,[status(thm)],[c_3561,c_49]) ).
cnf(c_3595,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_3468,c_3568]) ).
cnf(c_3602,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(superposition,[status(thm)],[c_3595,c_3453]) ).
cnf(c_3688,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))),
inference(superposition,[status(thm)],[c_50,c_3483]) ).
cnf(c_3691,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_416,c_3483]) ).
cnf(c_3741,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_3470,c_3487]) ).
cnf(c_3853,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X2))))) ),
inference(superposition,[status(thm)],[c_3691,c_49]) ).
cnf(c_3866,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_3741,c_3453]) ).
cnf(c_3883,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_3602,c_49]) ).
cnf(c_4181,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_3741,c_3853]) ).
cnf(c_4270,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))) ),
inference(superposition,[status(thm)],[c_3688,c_49]) ).
cnf(c_4650,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,implies(X4,X1))))))
| is_a_theorem(implies(X5,implies(X6,implies(X7,implies(X8,implies(X2,implies(X1,implies(X3,implies(X4,X1))))))))) ),
inference(superposition,[status(thm)],[c_3510,c_3883]) ).
cnf(c_4669,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,implies(X7,X5))))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_4650,c_3691]) ).
cnf(c_5211,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X2,X2))))),
inference(superposition,[status(thm)],[c_4181,c_4270]) ).
cnf(c_5215,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) ),
inference(superposition,[status(thm)],[c_5211,c_49]) ).
cnf(c_5319,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_4181,c_5215]) ).
cnf(c_5830,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_5319,c_3483]) ).
cnf(c_5834,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
inference(superposition,[status(thm)],[c_5830,c_49]) ).
cnf(c_6067,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_4181,c_5834]) ).
cnf(c_6075,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) ),
inference(superposition,[status(thm)],[c_6067,c_49]) ).
cnf(c_6197,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_4181,c_6075]) ).
cnf(c_6689,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_6197,c_3453]) ).
cnf(c_6859,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0)))),
inference(superposition,[status(thm)],[c_6689,c_3453]) ).
cnf(c_8809,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,implies(X3,X0))) ),
inference(superposition,[status(thm)],[c_6859,c_49]) ).
cnf(c_9132,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))),
inference(superposition,[status(thm)],[c_3866,c_8809]) ).
cnf(c_11856,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))) ),
inference(superposition,[status(thm)],[c_9132,c_49]) ).
cnf(c_25127,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(superposition,[status(thm)],[c_4669,c_11856]) ).
cnf(c_25166,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
inference(superposition,[status(thm)],[c_25127,c_49]) ).
cnf(c_25495,plain,
is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_25127,c_25166]) ).
cnf(c_25500,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
inference(superposition,[status(thm)],[c_25495,c_49]) ).
cnf(c_25824,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_25127,c_25500]) ).
cnf(c_25867,plain,
$false,
inference(superposition,[status(thm)],[c_25824,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL092-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 18:58:44 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 23.33/4.16 % SZS status Started for theBenchmark.p
% 23.33/4.16 % SZS status Unsatisfiable for theBenchmark.p
% 23.33/4.16
% 23.33/4.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.33/4.16
% 23.33/4.16 ------ iProver source info
% 23.33/4.16
% 23.33/4.16 git: date: 2024-05-02 19:28:25 +0000
% 23.33/4.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.33/4.16 git: non_committed_changes: false
% 23.33/4.16
% 23.33/4.16 ------ Parsing...successful
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 23.33/4.16
% 23.33/4.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.33/4.16 ------ Proving...
% 23.33/4.16 ------ Problem Properties
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16 clauses 3
% 23.33/4.16 conjectures 1
% 23.33/4.16 EPR 0
% 23.33/4.16 Horn 3
% 23.33/4.16 unary 2
% 23.33/4.16 binary 0
% 23.33/4.16 lits 5
% 23.33/4.16 lits eq 0
% 23.33/4.16 fd_pure 0
% 23.33/4.16 fd_pseudo 0
% 23.33/4.16 fd_cond 0
% 23.33/4.16 fd_pseudo_cond 0
% 23.33/4.16 AC symbols 0
% 23.33/4.16
% 23.33/4.16 ------ Input Options Time Limit: Unbounded
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16 ------
% 23.33/4.16 Current options:
% 23.33/4.16 ------
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16 ------ Proving...
% 23.33/4.16
% 23.33/4.16
% 23.33/4.16 % SZS status Unsatisfiable for theBenchmark.p
% 23.33/4.16
% 23.33/4.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.33/4.16
% 23.33/4.16
%------------------------------------------------------------------------------