TSTP Solution File: LCL260-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL260-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:37:30 EDT 2024
% Result : Unsatisfiable 145.91s 20.22s
% Output : CNFRefutation 145.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 48 ( 23 unt; 0 nHn; 22 RR)
% Number of literals : 74 ( 6 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 95 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(or(p,q),implies(or(not(p),q),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_51,plain,
axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c_52,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c_55,plain,
or(not(X0),X1) = implies(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c_56,plain,
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(c_57,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c_89,plain,
~ theorem(implies(or(p,q),implies(implies(p,q),q))),
inference(demodulation,[status(thm)],[c_49,c_55]) ).
cnf(c_97,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
cnf(c_98,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_97]) ).
cnf(c_103,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).
cnf(c_104,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_103]) ).
cnf(c_109,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
cnf(c_110,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_109]) ).
cnf(c_115,plain,
( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).
cnf(c_116,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_115]) ).
cnf(c_121,plain,
( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).
cnf(c_122,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_121]) ).
cnf(c_353,plain,
theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_104]) ).
cnf(c_389,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_98,c_57]) ).
cnf(c_391,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_110,c_57]) ).
cnf(c_394,plain,
( ~ theorem(X0)
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_353,c_57]) ).
cnf(c_889,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_116]) ).
cnf(c_949,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_122,c_57]) ).
cnf(c_1019,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_889]) ).
cnf(c_1079,plain,
theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_1019]) ).
cnf(c_1081,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_1019,c_57]) ).
cnf(c_1312,plain,
theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_1079]) ).
cnf(c_1320,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_104,c_1081]) ).
cnf(c_1323,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_394,c_1081]) ).
cnf(c_1325,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(X2,implies(or(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_949,c_1081]) ).
cnf(c_1442,plain,
theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_1320,c_389]) ).
cnf(c_1444,plain,
theorem(implies(q,q)),
inference(instantiation,[status(thm)],[c_1442]) ).
cnf(c_4092,plain,
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_1312,c_57]) ).
cnf(c_5813,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(implies(or(X2,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_1325,c_391]) ).
cnf(c_9982,plain,
theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))),
inference(superposition,[status(thm)],[c_122,c_4092]) ).
cnf(c_9986,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_394,c_4092]) ).
cnf(c_28314,plain,
( ~ theorem(or(implies(X0,X1),X1))
| theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_1323,c_389]) ).
cnf(c_39612,plain,
( ~ theorem(or(X0,X1))
| theorem(implies(implies(X1,X2),or(X0,X2))) ),
inference(superposition,[status(thm)],[c_9982,c_57]) ).
cnf(c_82058,plain,
( ~ theorem(or(implies(or(p,q),implies(implies(p,q),q)),implies(implies(p,q),q)))
| theorem(implies(or(p,q),implies(implies(p,q),q))) ),
inference(instantiation,[status(thm)],[c_28314]) ).
cnf(c_82396,plain,
( ~ theorem(implies(implies(p,q),or(implies(or(p,q),implies(implies(p,q),q)),q)))
| theorem(or(implies(or(p,q),implies(implies(p,q),q)),implies(implies(p,q),q))) ),
inference(instantiation,[status(thm)],[c_1081]) ).
cnf(c_115512,plain,
( ~ theorem(or(implies(or(p,q),implies(implies(p,q),q)),p))
| theorem(implies(implies(p,q),or(implies(or(p,q),implies(implies(p,q),q)),q))) ),
inference(instantiation,[status(thm)],[c_39612]) ).
cnf(c_207618,plain,
( ~ theorem(implies(X0,q))
| theorem(implies(X0,implies(implies(p,q),q))) ),
inference(instantiation,[status(thm)],[c_9986]) ).
cnf(c_207619,plain,
( ~ theorem(implies(q,q))
| theorem(implies(q,implies(implies(p,q),q))) ),
inference(instantiation,[status(thm)],[c_207618]) ).
cnf(c_560910,plain,
( ~ theorem(implies(q,implies(implies(p,q),q)))
| theorem(or(implies(or(p,q),implies(implies(p,q),q)),p)) ),
inference(instantiation,[status(thm)],[c_5813]) ).
cnf(c_560911,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_560910,c_207619,c_115512,c_82396,c_82058,c_1444,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL260-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 19:28:35 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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
% 145.91/20.22 % SZS status Started for theBenchmark.p
% 145.91/20.22 % SZS status Unsatisfiable for theBenchmark.p
% 145.91/20.22
% 145.91/20.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 145.91/20.22
% 145.91/20.22 ------ iProver source info
% 145.91/20.22
% 145.91/20.22 git: date: 2024-05-02 19:28:25 +0000
% 145.91/20.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 145.91/20.22 git: non_committed_changes: false
% 145.91/20.22
% 145.91/20.22 ------ Parsing...successful
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 145.91/20.22
% 145.91/20.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 145.91/20.22
% 145.91/20.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 145.91/20.22 ------ Proving...
% 145.91/20.22 ------ Problem Properties
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22 clauses 8
% 145.91/20.22 conjectures 0
% 145.91/20.22 EPR 0
% 145.91/20.22 Horn 8
% 145.91/20.22 unary 7
% 145.91/20.22 binary 0
% 145.91/20.22 lits 10
% 145.91/20.22 lits eq 1
% 145.91/20.22 fd_pure 0
% 145.91/20.22 fd_pseudo 0
% 145.91/20.22 fd_cond 0
% 145.91/20.22 fd_pseudo_cond 0
% 145.91/20.22 AC symbols 0
% 145.91/20.22
% 145.91/20.22 ------ Input Options Time Limit: Unbounded
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22 ------
% 145.91/20.22 Current options:
% 145.91/20.22 ------
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22 ------ Proving...
% 145.91/20.22
% 145.91/20.22
% 145.91/20.22 % SZS status Unsatisfiable for theBenchmark.p
% 145.91/20.22
% 145.91/20.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 145.91/20.22
% 145.91/20.24
%------------------------------------------------------------------------------