TSTP Solution File: LCL199-3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL199-3 : TPTP v8.1.2. Released v2.3.0.
% 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 07:43:05 EDT 2023
% Result : Unsatisfiable 38.47s 7.44s
% Output : CNFRefutation 38.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 61 ( 22 unt; 0 nHn; 33 RR)
% Number of literals : 117 ( 30 equ; 58 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 143 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(not(or(p,q)),not(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_51,plain,
axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c_52,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c_53,plain,
axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c_54,plain,
axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c_55,plain,
or(not(X0),X1) = implies(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c_56,plain,
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(c_57,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c_73,plain,
X0 = X0,
theory(equality) ).
cnf(c_75,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_76,plain,
( X0 != X1
| X2 != X3
| or(X0,X2) = or(X1,X3) ),
theory(equality) ).
cnf(c_78,plain,
( X0 != X1
| X2 != X3
| implies(X0,X2) = implies(X1,X3) ),
theory(equality) ).
cnf(c_79,plain,
( X0 != X1
| ~ theorem(X1)
| theorem(X0) ),
theory(equality) ).
cnf(c_359,plain,
theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[c_56,c_50]) ).
cnf(c_377,plain,
theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[c_51,c_56]) ).
cnf(c_385,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[c_52,c_56]) ).
cnf(c_397,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[c_57,c_359]) ).
cnf(c_401,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[c_57,c_385]) ).
cnf(c_450,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_79,c_55]) ).
cnf(c_502,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[c_53,c_56]) ).
cnf(c_516,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(X1,not(X0))) ),
inference(resolution,[status(thm)],[c_450,c_401]) ).
cnf(c_554,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[c_54,c_56]) ).
cnf(c_570,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[status(thm)],[c_502,c_57]) ).
cnf(c_573,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(resolution,[status(thm)],[c_554,c_57]) ).
cnf(c_582,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,or(not(X0),X2))) ),
inference(resolution,[status(thm)],[c_570,c_450]) ).
cnf(c_602,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_75,c_73]) ).
cnf(c_616,plain,
( X0 != X1
| X2 != X3
| ~ theorem(or(X1,X3))
| theorem(or(X0,X2)) ),
inference(resolution,[status(thm)],[c_76,c_79]) ).
cnf(c_640,plain,
( X0 != X1
| X2 != X3
| ~ theorem(implies(X1,X3))
| theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[c_78,c_79]) ).
cnf(c_674,plain,
implies(X0,X1) = or(not(X0),X1),
inference(resolution,[status(thm)],[c_602,c_55]) ).
cnf(c_765,plain,
( ~ theorem(or(not(X0),X1))
| theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_674,c_79]) ).
cnf(c_796,plain,
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X1,not(X0))) ),
inference(resolution,[status(thm)],[c_765,c_516]) ).
cnf(c_1042,plain,
( X0 != not(X1)
| X2 != X3
| ~ theorem(implies(X1,X3))
| theorem(or(X0,X2)) ),
inference(resolution,[status(thm)],[c_616,c_450]) ).
cnf(c_1135,plain,
( X0 != X1
| X2 != or(X3,X1)
| theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[c_640,c_377]) ).
cnf(c_1136,plain,
( X0 != or(X1,X2)
| X3 != or(X2,X1)
| theorem(implies(X0,X3)) ),
inference(resolution,[status(thm)],[c_640,c_385]) ).
cnf(c_1686,plain,
( ~ theorem(or(X0,X1))
| ~ theorem(implies(X1,X2))
| theorem(or(X0,X2)) ),
inference(resolution,[status(thm)],[c_573,c_57]) ).
cnf(c_3124,plain,
( X0 != X1
| theorem(implies(X0,or(X2,X1))) ),
inference(resolution,[status(thm)],[c_1135,c_73]) ).
cnf(c_3612,plain,
( X0 != X1
| ~ theorem(X0)
| theorem(or(X2,X1)) ),
inference(resolution,[status(thm)],[c_3124,c_57]) ).
cnf(c_4115,plain,
( X0 != or(X1,not(X2))
| theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[status(thm)],[c_1136,c_674]) ).
cnf(c_4396,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(X2,or(not(X0),X1))) ),
inference(resolution,[status(thm)],[c_3612,c_674]) ).
cnf(c_4792,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(not(X0),or(X2,X1))) ),
inference(resolution,[status(thm)],[c_4396,c_570]) ).
cnf(c_5082,plain,
( X0 != X1
| ~ theorem(implies(X2,X1))
| theorem(or(not(X2),X0)) ),
inference(resolution,[status(thm)],[c_1042,c_73]) ).
cnf(c_5465,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(resolution,[status(thm)],[c_4792,c_765]) ).
cnf(c_5563,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(or(X2,X1)) ),
inference(resolution,[status(thm)],[c_5465,c_57]) ).
cnf(c_5583,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X1,X0))) ),
inference(resolution,[status(thm)],[c_5563,c_385]) ).
cnf(c_5807,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ),
inference(resolution,[status(thm)],[c_5583,c_570]) ).
cnf(c_5941,plain,
( ~ theorem(or(X0,or(X1,X0)))
| theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[c_5807,c_397]) ).
cnf(c_9397,plain,
( ~ theorem(implies(X0,or(X1,X1)))
| theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_582,c_5941]) ).
cnf(c_9918,plain,
theorem(or(not(X0),X0)),
inference(resolution,[status(thm)],[c_9397,c_377]) ).
cnf(c_10054,plain,
theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_9918,c_765]) ).
cnf(c_10133,plain,
theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[c_10054,c_796]) ).
cnf(c_10723,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X2,X1))) ),
inference(resolution,[status(thm)],[c_1686,c_385]) ).
cnf(c_10759,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(not(X1)))) ),
inference(resolution,[status(thm)],[c_1686,c_10133]) ).
cnf(c_10874,plain,
theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(resolution,[status(thm)],[c_4115,c_73]) ).
cnf(c_11446,plain,
( ~ theorem(or(X0,not(X1)))
| theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[c_10874,c_57]) ).
cnf(c_12743,plain,
( X0 != or(X1,X2)
| theorem(or(not(X2),X0)) ),
inference(resolution,[status(thm)],[c_5082,c_377]) ).
cnf(c_15656,plain,
( ~ theorem(or(X0,X1))
| theorem(implies(not(X1),X0)) ),
inference(resolution,[status(thm)],[c_10759,c_11446]) ).
cnf(c_15724,plain,
~ theorem(or(not(p),or(p,q))),
inference(resolution,[status(thm)],[c_15656,c_49]) ).
cnf(c_36974,plain,
theorem(or(not(X0),or(X1,X0))),
inference(resolution,[status(thm)],[c_12743,c_73]) ).
cnf(c_70545,plain,
theorem(or(not(X0),or(X0,X1))),
inference(resolution,[status(thm)],[c_10723,c_36974]) ).
cnf(c_71002,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_15724,c_70545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL199-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 18:03:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.47/7.44 % SZS status Started for theBenchmark.p
% 38.47/7.44 % SZS status Unsatisfiable for theBenchmark.p
% 38.47/7.44
% 38.47/7.44 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 38.47/7.44
% 38.47/7.44 ------ iProver source info
% 38.47/7.44
% 38.47/7.44 git: date: 2023-05-31 18:12:56 +0000
% 38.47/7.44 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 38.47/7.44 git: non_committed_changes: false
% 38.47/7.44 git: last_make_outside_of_git: false
% 38.47/7.44
% 38.47/7.44 ------ Parsing...successful
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 38.47/7.44
% 38.47/7.44 ------ Preprocessing...
% 38.47/7.44
% 38.47/7.44 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.47/7.44 ------ Proving...
% 38.47/7.44 ------ Problem Properties
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44 clauses 9
% 38.47/7.44 conjectures 1
% 38.47/7.44 EPR 1
% 38.47/7.44 Horn 9
% 38.47/7.44 unary 7
% 38.47/7.44 binary 1
% 38.47/7.44 lits 12
% 38.47/7.44 lits eq 1
% 38.47/7.44 fd_pure 0
% 38.47/7.44 fd_pseudo 0
% 38.47/7.44 fd_cond 0
% 38.47/7.44 fd_pseudo_cond 0
% 38.47/7.44 AC symbols 0
% 38.47/7.44
% 38.47/7.44 ------ Input Options Time Limit: Unbounded
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44 ------
% 38.47/7.44 Current options:
% 38.47/7.44 ------
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44 ------ Proving...
% 38.47/7.44
% 38.47/7.44
% 38.47/7.44 % SZS status Unsatisfiable for theBenchmark.p
% 38.47/7.44
% 38.47/7.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.47/7.44
% 38.47/7.45
%------------------------------------------------------------------------------