TSTP Solution File: LCL368-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL368-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:37:42 EDT 2024
% Result : Unsatisfiable 184.64s 25.21s
% Output : CNFRefutation 184.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of clauses : 69 ( 27 unt; 0 nHn; 28 RR)
% Number of literals : 124 ( 0 equ; 58 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 174 ( 38 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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23) ).
cnf(c_72,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_79,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_81,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_79,c_49]) ).
cnf(c_82,plain,
~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
inference(superposition,[status(thm)],[c_79,c_53]) ).
cnf(c_85,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_50,c_81]) ).
cnf(c_86,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_81]) ).
cnf(c_87,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_81]) ).
cnf(c_88,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(not(X2),X1)) ),
inference(superposition,[status(thm)],[c_72,c_81]) ).
cnf(c_89,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X0,X3))
| is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(superposition,[status(thm)],[c_79,c_81]) ).
cnf(c_106,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_108,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_86,c_49]) ).
cnf(c_120,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_106,c_49]) ).
cnf(c_122,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_106,c_85]) ).
cnf(c_215,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X3,X2)))) ),
inference(superposition,[status(thm)],[c_50,c_88]) ).
cnf(c_259,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_377,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| ~ is_a_theorem(X4)
| is_a_theorem(implies(not(X4),X3)) ),
inference(superposition,[status(thm)],[c_215,c_120]) ).
cnf(c_531,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_51,c_89]) ).
cnf(c_532,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X2)),X3))) ),
inference(superposition,[status(thm)],[c_52,c_89]) ).
cnf(c_623,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_531,c_87]) ).
cnf(c_660,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_259,c_623]) ).
cnf(c_679,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(not(X1),X0)) ),
inference(superposition,[status(thm)],[c_660,c_88]) ).
cnf(c_748,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_122,c_49]) ).
cnf(c_751,plain,
~ is_a_theorem(implies(x,implies(implies(x,z),z))),
inference(superposition,[status(thm)],[c_122,c_82]) ).
cnf(c_137040,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_87]) ).
cnf(c_137112,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_532,c_49]) ).
cnf(c_137188,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_51,c_89]) ).
cnf(c_137301,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_137188,c_87]) ).
cnf(c_137603,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_51,c_748]) ).
cnf(c_137639,plain,
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1)))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_137603,c_49]) ).
cnf(c_137860,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_679,c_137639]) ).
cnf(c_138163,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_52,c_137112]) ).
cnf(c_139891,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_51,c_138163]) ).
cnf(c_139901,plain,
is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(superposition,[status(thm)],[c_137040,c_138163]) ).
cnf(c_139983,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_139891,c_137301]) ).
cnf(c_140023,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_139983,c_138163]) ).
cnf(c_140152,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_140023,c_108]) ).
cnf(c_140168,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_140023,c_137301]) ).
cnf(c_140180,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_140168,c_120]) ).
cnf(c_140300,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_139901,c_137639]) ).
cnf(c_140435,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) ),
inference(superposition,[status(thm)],[c_50,c_137860]) ).
cnf(c_140436,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_51,c_137860]) ).
cnf(c_140796,plain,
is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(superposition,[status(thm)],[c_51,c_140436]) ).
cnf(c_140874,plain,
( ~ is_a_theorem(implies(not(implies(not(X0),X0)),implies(not(X0),X0)))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_140796,c_49]) ).
cnf(c_140887,plain,
is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(superposition,[status(thm)],[c_140796,c_138163]) ).
cnf(c_141021,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_140887,c_137301]) ).
cnf(c_141075,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_140152]) ).
cnf(c_141163,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_141075,c_140436]) ).
cnf(c_141198,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_141163,c_89]) ).
cnf(c_141298,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_140435,c_49]) ).
cnf(c_141336,plain,
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_51,c_141298]) ).
cnf(c_143834,plain,
( ~ is_a_theorem(implies(not(implies(not(X0),X0)),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_140300,c_140874]) ).
cnf(c_159193,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_141021,c_141198]) ).
cnf(c_159541,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_159193,c_85]) ).
cnf(c_160129,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(superposition,[status(thm)],[c_159541,c_85]) ).
cnf(c_160375,plain,
is_a_theorem(implies(not(implies(X0,implies(implies(X1,X0),X0))),X2)),
inference(superposition,[status(thm)],[c_160129,c_138163]) ).
cnf(c_160908,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_160375,c_141336]) ).
cnf(c_163589,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),implies(X1,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_160908,c_377]) ).
cnf(c_163592,plain,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_160908,c_85]) ).
cnf(c_166767,plain,
( ~ is_a_theorem(implies(not(implies(X0,implies(X1,X0))),implies(X0,implies(X1,X0))))
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(superposition,[status(thm)],[c_163589,c_143834]) ).
cnf(c_167647,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_163592,c_140180]) ).
cnf(c_167653,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_166767,c_167647]) ).
cnf(c_167722,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_167653,c_120]) ).
cnf(c_171899,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_160129,c_167722]) ).
cnf(c_171913,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_751,c_171899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL368-1 : TPTP v8.1.2. Released v2.3.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 19:29:52 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 184.64/25.21 % SZS status Started for theBenchmark.p
% 184.64/25.21 % SZS status Unsatisfiable for theBenchmark.p
% 184.64/25.21
% 184.64/25.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 184.64/25.21
% 184.64/25.21 ------ iProver source info
% 184.64/25.21
% 184.64/25.21 git: date: 2024-05-02 19:28:25 +0000
% 184.64/25.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 184.64/25.21 git: non_committed_changes: false
% 184.64/25.21
% 184.64/25.21 ------ Parsing...successful
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 184.64/25.21
% 184.64/25.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 184.64/25.21 ------ Proving...
% 184.64/25.21 ------ Problem Properties
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21 clauses 5
% 184.64/25.21 conjectures 1
% 184.64/25.21 EPR 0
% 184.64/25.21 Horn 5
% 184.64/25.21 unary 4
% 184.64/25.21 binary 0
% 184.64/25.21 lits 7
% 184.64/25.21 lits eq 0
% 184.64/25.21 fd_pure 0
% 184.64/25.21 fd_pseudo 0
% 184.64/25.21 fd_cond 0
% 184.64/25.21 fd_pseudo_cond 0
% 184.64/25.21 AC symbols 0
% 184.64/25.21
% 184.64/25.21 ------ Input Options Time Limit: Unbounded
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21 ------
% 184.64/25.21 Current options:
% 184.64/25.21 ------
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21 ------ Proving...
% 184.64/25.21
% 184.64/25.21
% 184.64/25.21 % SZS status Unsatisfiable for theBenchmark.p
% 184.64/25.21
% 184.64/25.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 184.64/25.21
% 184.64/25.22
%------------------------------------------------------------------------------