TSTP Solution File: LCL053-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL053-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 07:42:14 EDT 2023
% Result : Unsatisfiable 157.49s 21.80s
% Output : CNFRefutation 157.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of clauses : 62 ( 27 unt; 0 nHn; 19 RR)
% Number of literals : 106 ( 0 equ; 46 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 153 ( 33 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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_30) ).
cnf(c_329,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_49,c_51]) ).
cnf(c_331,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_49,c_52]) ).
cnf(c_382,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c_50,c_49]) ).
cnf(c_388,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[c_382,c_49]) ).
cnf(c_397,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) ),
inference(resolution,[status(thm)],[c_388,c_50]) ).
cnf(c_399,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_388,c_51]) ).
cnf(c_401,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[status(thm)],[c_388,c_52]) ).
cnf(c_404,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[status(thm)],[c_388,c_382]) ).
cnf(c_409,plain,
is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[status(thm)],[c_399,c_51]) ).
cnf(c_411,plain,
is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_399,c_52]) ).
cnf(c_414,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(resolution,[status(thm)],[c_399,c_382]) ).
cnf(c_425,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) ),
inference(resolution,[status(thm)],[c_401,c_49]) ).
cnf(c_428,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,implies(not(X1),X3))) ),
inference(resolution,[status(thm)],[c_401,c_388]) ).
cnf(c_436,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(not(X2),X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[c_414,c_388]) ).
cnf(c_455,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
inference(resolution,[status(thm)],[c_397,c_49]) ).
cnf(c_457,plain,
( ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c_397,c_329]) ).
cnf(c_472,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[c_404,c_50]) ).
cnf(c_475,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[status(thm)],[c_404,c_52]) ).
cnf(c_585,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[c_475,c_399]) ).
cnf(c_593,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[c_585,c_331]) ).
cnf(c_604,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[c_593,c_399]) ).
cnf(c_725,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(not(implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[c_425,c_382]) ).
cnf(c_827,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),implies(not(X3),X4))) ),
inference(resolution,[status(thm)],[c_428,c_50]) ).
cnf(c_831,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(not(X2),X3))) ),
inference(resolution,[status(thm)],[c_428,c_52]) ).
cnf(c_894,plain,
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_472,c_399]) ).
cnf(c_1273,plain,
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c_455,c_51]) ).
cnf(c_1279,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X1,X3),implies(X2,X3))) ),
inference(resolution,[status(thm)],[c_455,c_382]) ).
cnf(c_2660,plain,
is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(resolution,[status(thm)],[c_831,c_409]) ).
cnf(c_2662,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[c_831,c_411]) ).
cnf(c_5294,plain,
( ~ is_a_theorem(implies(not(X0),not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[c_436,c_2662]) ).
cnf(c_6348,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),X2)) ),
inference(resolution,[status(thm)],[c_725,c_51]) ).
cnf(c_6350,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(resolution,[status(thm)],[c_725,c_52]) ).
cnf(c_10148,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(resolution,[status(thm)],[c_894,c_52]) ).
cnf(c_10158,plain,
( ~ is_a_theorem(implies(X0,not(not(implies(X1,X2)))))
| is_a_theorem(implies(implies(X1,X0),implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_894,c_475]) ).
cnf(c_10348,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) ),
inference(resolution,[status(thm)],[c_1279,c_52]) ).
cnf(c_10530,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(resolution,[status(thm)],[c_10148,c_399]) ).
cnf(c_14564,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X0)))
| is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[c_6348,c_457]) ).
cnf(c_15217,plain,
is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[c_6350,c_409]) ).
cnf(c_15219,plain,
is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[c_6350,c_2660]) ).
cnf(c_20538,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[c_15217,c_604]) ).
cnf(c_21025,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_20538,c_894]) ).
cnf(c_21319,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[c_15219,c_1273]) ).
cnf(c_29913,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(not(implies(implies(X1,X0),X0)),X2))),
inference(resolution,[status(thm)],[c_21025,c_827]) ).
cnf(c_30326,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[c_21319,c_49]) ).
cnf(c_87559,plain,
~ is_a_theorem(implies(implies(a,b),not(not(implies(a,b))))),
inference(resolution,[status(thm)],[c_10158,c_53]) ).
cnf(c_247251,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_29913,c_399]) ).
cnf(c_247922,plain,
is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_247251,c_30326]) ).
cnf(c_248416,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X2,implies(X0,X2))) ),
inference(resolution,[status(thm)],[c_247922,c_404]) ).
cnf(c_280166,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_248416,c_52]) ).
cnf(c_282170,plain,
is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_14564,c_280166]) ).
cnf(c_285900,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[c_282170,c_10348]) ).
cnf(c_302699,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[c_285900,c_49]) ).
cnf(c_335042,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(resolution,[status(thm)],[c_302699,c_10530]) ).
cnf(c_340761,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(resolution,[status(thm)],[c_335042,c_585]) ).
cnf(c_347137,plain,
is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[c_340761,c_5294]) ).
cnf(c_348956,plain,
is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[c_347137,c_585]) ).
cnf(c_350428,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_87559,c_348956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL053-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:21:02 EDT 2023
% 0.13/0.34 % 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
% 157.49/21.80 % SZS status Started for theBenchmark.p
% 157.49/21.80 % SZS status Unsatisfiable for theBenchmark.p
% 157.49/21.80
% 157.49/21.80 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 157.49/21.80
% 157.49/21.80 ------ iProver source info
% 157.49/21.80
% 157.49/21.80 git: date: 2023-05-31 18:12:56 +0000
% 157.49/21.80 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 157.49/21.80 git: non_committed_changes: false
% 157.49/21.80 git: last_make_outside_of_git: false
% 157.49/21.80
% 157.49/21.80 ------ Parsing...successful
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 157.49/21.80
% 157.49/21.80 ------ Preprocessing...
% 157.49/21.80 ------ Proving...
% 157.49/21.80 ------ Problem Properties
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80 clauses 5
% 157.49/21.80 conjectures 1
% 157.49/21.80 EPR 0
% 157.49/21.80 Horn 5
% 157.49/21.80 unary 4
% 157.49/21.80 binary 0
% 157.49/21.80 lits 7
% 157.49/21.80 lits eq 0
% 157.49/21.80 fd_pure 0
% 157.49/21.80 fd_pseudo 0
% 157.49/21.80 fd_cond 0
% 157.49/21.80 fd_pseudo_cond 0
% 157.49/21.80 AC symbols 0
% 157.49/21.80
% 157.49/21.80 ------ Input Options Time Limit: Unbounded
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80 ------
% 157.49/21.80 Current options:
% 157.49/21.80 ------
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80 ------ Proving...
% 157.49/21.80
% 157.49/21.80
% 157.49/21.80 % SZS status Unsatisfiable for theBenchmark.p
% 157.49/21.80
% 157.49/21.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.49/21.80
% 157.49/21.81
%------------------------------------------------------------------------------