TSTP Solution File: LCL259-3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL259-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 07:43:36 EDT 2023
% Result : Unsatisfiable 60.06s 8.78s
% Output : CNFRefutation 60.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of clauses : 68 ( 37 unt; 0 nHn; 24 RR)
% Number of literals : 103 ( 6 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 175 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(implies(p,implies(p,q)),implies(p,q))),
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_96,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
cnf(c_97,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_96]) ).
cnf(c_102,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).
cnf(c_103,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_102]) ).
cnf(c_108,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
cnf(c_109,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_108]) ).
cnf(c_114,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_115,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_114]) ).
cnf(c_120,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_121,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_120]) ).
cnf(c_446,plain,
( ~ theorem(X0)
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_103,c_57]) ).
cnf(c_447,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_109,c_57]) ).
cnf(c_454,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_115]) ).
cnf(c_458,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_115,c_57]) ).
cnf(c_463,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_121,c_57]) ).
cnf(c_486,plain,
( ~ theorem(X0)
| theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_446,c_447]) ).
cnf(c_490,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_454,c_55]) ).
cnf(c_493,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_490,c_57]) ).
cnf(c_520,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_463,c_57]) ).
cnf(c_535,plain,
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_486,c_458]) ).
cnf(c_563,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_103,c_493]) ).
cnf(c_607,plain,
theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_55,c_563]) ).
cnf(c_651,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,implies(X2,X2))) ),
inference(superposition,[status(thm)],[c_607,c_520]) ).
cnf(c_1772,plain,
( ~ theorem(X0)
| theorem(or(X1,implies(X2,X2))) ),
inference(superposition,[status(thm)],[c_535,c_651]) ).
cnf(c_2422,plain,
theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_109]) ).
cnf(c_2426,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_97,c_57]) ).
cnf(c_2428,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_109,c_57]) ).
cnf(c_2435,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_115]) ).
cnf(c_2436,plain,
theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_115]) ).
cnf(c_2439,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_115,c_57]) ).
cnf(c_2442,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(superposition,[status(thm)],[c_55,c_121]) ).
cnf(c_2444,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_121,c_57]) ).
cnf(c_2453,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_97,c_1772]) ).
cnf(c_2489,plain,
theorem(or(implies(X0,X0),X1)),
inference(superposition,[status(thm)],[c_2453,c_2428]) ).
cnf(c_2493,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_2435,c_55]) ).
cnf(c_2494,plain,
theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_2493]) ).
cnf(c_2497,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_2493,c_57]) ).
cnf(c_2500,plain,
theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(demodulation,[status(thm)],[c_2436,c_55]) ).
cnf(c_2504,plain,
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_2500,c_57]) ).
cnf(c_2518,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(demodulation,[status(thm)],[c_2442,c_55]) ).
cnf(c_2520,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(implies(X2,X0),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_2518,c_57]) ).
cnf(c_2529,plain,
theorem(or(X0,or(implies(X1,X1),X2))),
inference(superposition,[status(thm)],[c_2489,c_2439]) ).
cnf(c_2537,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_2444,c_57]) ).
cnf(c_2573,plain,
theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_2494,c_55]) ).
cnf(c_2648,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(implies(X2,X0))
| theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_2520,c_57]) ).
cnf(c_2691,plain,
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(or(X0,implies(or(X3,X1),or(X3,X2)))) ),
inference(superposition,[status(thm)],[c_121,c_2537]) ).
cnf(c_2693,plain,
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_2422,c_2537]) ).
cnf(c_2703,plain,
( ~ theorem(or(X0,implies(X1,implies(X2,X3))))
| theorem(or(X0,implies(X2,implies(X1,X3)))) ),
inference(superposition,[status(thm)],[c_2573,c_2537]) ).
cnf(c_3004,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(implies(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_109,c_2648]) ).
cnf(c_3292,plain,
( ~ theorem(or(implies(or(X0,X1),or(X0,X2)),implies(X1,X2)))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(superposition,[status(thm)],[c_2691,c_2426]) ).
cnf(c_3349,plain,
theorem(or(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_2529,c_2693]) ).
cnf(c_3879,plain,
theorem(or(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_3349,c_2703]) ).
cnf(c_4337,plain,
theorem(implies(X0,or(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_3879,c_2504]) ).
cnf(c_6694,plain,
theorem(implies(X0,or(implies(X1,X0),X2))),
inference(superposition,[status(thm)],[c_4337,c_3004]) ).
cnf(c_11574,plain,
theorem(or(implies(X0,X1),implies(X1,X2))),
inference(superposition,[status(thm)],[c_6694,c_2497]) ).
cnf(c_17473,plain,
theorem(implies(or(X0,or(X0,X1)),or(X0,X1))),
inference(superposition,[status(thm)],[c_11574,c_3292]) ).
cnf(c_19337,plain,
theorem(implies(implies(X0,or(not(X0),X1)),or(not(X0),X1))),
inference(superposition,[status(thm)],[c_55,c_17473]) ).
cnf(c_20207,plain,
theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(demodulation,[status(thm)],[c_19337,c_55]) ).
cnf(c_20208,plain,
$false,
inference(superposition,[status(thm)],[c_20207,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL259-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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 18:10:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 60.06/8.78 % SZS status Started for theBenchmark.p
% 60.06/8.78 % SZS status Unsatisfiable for theBenchmark.p
% 60.06/8.78
% 60.06/8.78 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 60.06/8.78
% 60.06/8.78 ------ iProver source info
% 60.06/8.78
% 60.06/8.78 git: date: 2023-05-31 18:12:56 +0000
% 60.06/8.78 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 60.06/8.78 git: non_committed_changes: false
% 60.06/8.78 git: last_make_outside_of_git: false
% 60.06/8.78
% 60.06/8.78 ------ Parsing...successful
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78 ------ Preprocessing... sup_sim: 0 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
% 60.06/8.78
% 60.06/8.78 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 60.06/8.78
% 60.06/8.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 60.06/8.78 ------ Proving...
% 60.06/8.78 ------ Problem Properties
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78 clauses 8
% 60.06/8.78 conjectures 1
% 60.06/8.78 EPR 0
% 60.06/8.78 Horn 8
% 60.06/8.78 unary 7
% 60.06/8.78 binary 0
% 60.06/8.78 lits 10
% 60.06/8.78 lits eq 1
% 60.06/8.78 fd_pure 0
% 60.06/8.78 fd_pseudo 0
% 60.06/8.78 fd_cond 0
% 60.06/8.78 fd_pseudo_cond 0
% 60.06/8.78 AC symbols 0
% 60.06/8.78
% 60.06/8.78 ------ Input Options Time Limit: Unbounded
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78 ------
% 60.06/8.78 Current options:
% 60.06/8.78 ------
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78 ------ Proving...
% 60.06/8.78
% 60.06/8.78
% 60.06/8.78 % SZS status Unsatisfiable for theBenchmark.p
% 60.06/8.78
% 60.06/8.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.06/8.78
% 60.06/8.78
%------------------------------------------------------------------------------