TSTP Solution File: LCL069-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 07:42:18 EDT 2023
% Result : Unsatisfiable 10.00s 2.16s
% Output : CNFRefutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 42 ( 20 unt; 0 nHn; 25 RR)
% Number of literals : 80 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 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 : 89 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).
cnf(c_52,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_59) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).
cnf(c_54,plain,
is_a_theorem(implies(implies(implies(a,a),a),implies(a,a))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_79,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X1,X2)),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| is_a_theorem(X3) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_85,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X1,X2)),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| is_a_theorem(implies(X2,implies(X1,X2))) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_86,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(a,implies(a,a))))
| ~ is_a_theorem(implies(implies(implies(a,a),a),implies(a,a)))
| is_a_theorem(implies(a,implies(a,a))) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_97,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X1,X2)),implies(X2,implies(X1,X2)))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_98,plain,
is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(a,implies(a,a)))),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_118,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_132,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_50,c_118]) ).
cnf(c_177,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_132,c_118]) ).
cnf(c_179,plain,
is_a_theorem(implies(a,implies(a,implies(a,a)))),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_202,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[c_49,c_50]) ).
cnf(c_223,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[status(thm)],[c_51,c_49]) ).
cnf(c_257,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_202,c_50]) ).
cnf(c_671,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))) ),
inference(resolution,[status(thm)],[c_52,c_49]) ).
cnf(c_745,plain,
is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(resolution,[status(thm)],[c_223,c_50]) ).
cnf(c_748,plain,
is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[c_223,c_257]) ).
cnf(c_1139,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(implies(implies(X0,X2),X1)) ),
inference(resolution,[status(thm)],[c_671,c_49]) ).
cnf(c_1640,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[c_1139,c_49]) ).
cnf(c_2240,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,implies(X1,X3)))
| is_a_theorem(implies(X1,X3)) ),
inference(resolution,[status(thm)],[c_1640,c_745]) ).
cnf(c_2243,plain,
( ~ is_a_theorem(implies(X0,implies(X1,not(X2))))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X1,not(X2))) ),
inference(resolution,[status(thm)],[c_1640,c_257]) ).
cnf(c_2256,plain,
( ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(resolution,[status(thm)],[c_1640,c_748]) ).
cnf(c_3191,plain,
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(not(X2),implies(X1,X4)))
| ~ is_a_theorem(implies(X3,implies(X1,X4)))
| is_a_theorem(implies(X1,X4)) ),
inference(resolution,[status(thm)],[c_2240,c_1139]) ).
cnf(c_3192,plain,
( ~ is_a_theorem(implies(implies(a,a),implies(a,a)))
| ~ is_a_theorem(implies(not(a),implies(a,a)))
| ~ is_a_theorem(implies(a,implies(a,a)))
| is_a_theorem(implies(a,a)) ),
inference(instantiation,[status(thm)],[c_3191]) ).
cnf(c_6167,plain,
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_2256,c_257]) ).
cnf(c_6171,plain,
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| ~ is_a_theorem(implies(not(X3),implies(X0,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c_2256,c_671]) ).
cnf(c_6172,plain,
( ~ is_a_theorem(implies(a,implies(a,implies(a,a))))
| ~ is_a_theorem(implies(not(a),implies(a,a)))
| is_a_theorem(implies(implies(a,a),implies(a,a))) ),
inference(instantiation,[status(thm)],[c_6171]) ).
cnf(c_8389,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[c_6167,c_257]) ).
cnf(c_10246,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) ),
inference(resolution,[status(thm)],[c_8389,c_49]) ).
cnf(c_10248,plain,
is_a_theorem(implies(not(X0),implies(X1,X1))),
inference(resolution,[status(thm)],[c_8389,c_223]) ).
cnf(c_10250,plain,
is_a_theorem(implies(not(a),implies(a,a))),
inference(instantiation,[status(thm)],[c_10248]) ).
cnf(c_10255,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(X0),not(X0))) ),
inference(resolution,[status(thm)],[c_8389,c_2243]) ).
cnf(c_10256,plain,
( ~ is_a_theorem(implies(a,a))
| is_a_theorem(implies(not(a),not(a))) ),
inference(instantiation,[status(thm)],[c_10255]) ).
cnf(c_10799,plain,
is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_10246,c_50]) ).
cnf(c_10831,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[c_10799,c_223]) ).
cnf(c_10974,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[status(thm)],[c_10831,c_2256]) ).
cnf(c_32719,plain,
~ is_a_theorem(implies(not(a),not(a))),
inference(resolution,[status(thm)],[c_10974,c_53]) ).
cnf(c_32720,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_32719,c_10256,c_10250,c_6172,c_3192,c_179,c_98,c_86,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.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 19:11:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.00/2.16 % SZS status Started for theBenchmark.p
% 10.00/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.00/2.16
% 10.00/2.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.00/2.16
% 10.00/2.16 ------ iProver source info
% 10.00/2.16
% 10.00/2.16 git: date: 2023-05-31 18:12:56 +0000
% 10.00/2.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.00/2.16 git: non_committed_changes: false
% 10.00/2.16 git: last_make_outside_of_git: false
% 10.00/2.16
% 10.00/2.16 ------ Parsing...successful
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 10.00/2.16
% 10.00/2.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.00/2.16 ------ Proving...
% 10.00/2.16 ------ Problem Properties
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16 clauses 5
% 10.00/2.16 conjectures 1
% 10.00/2.16 EPR 0
% 10.00/2.16 Horn 5
% 10.00/2.16 unary 4
% 10.00/2.16 binary 0
% 10.00/2.16 lits 7
% 10.00/2.16 lits eq 0
% 10.00/2.16 fd_pure 0
% 10.00/2.16 fd_pseudo 0
% 10.00/2.16 fd_cond 0
% 10.00/2.16 fd_pseudo_cond 0
% 10.00/2.16 AC symbols 0
% 10.00/2.16
% 10.00/2.16 ------ Input Options Time Limit: Unbounded
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16 ------
% 10.00/2.16 Current options:
% 10.00/2.16 ------
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16 ------ Proving...
% 10.00/2.16
% 10.00/2.16
% 10.00/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.00/2.16
% 10.00/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.00/2.16
% 10.00/2.16
%------------------------------------------------------------------------------