TSTP Solution File: LCL180-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 07:42:55 EDT 2023
% Result : Unsatisfiable 13.19s 2.77s
% Output : CNFRefutation 13.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 52 ( 23 unt; 0 nHn; 24 RR)
% Number of literals : 84 ( 6 equ; 34 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 107 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(not(not(p)),p)),
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_105,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
cnf(c_106,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_105]) ).
cnf(c_111,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).
cnf(c_112,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_111]) ).
cnf(c_113,plain,
theorem(implies(p,or(p,p))),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_117,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
cnf(c_118,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_117]) ).
cnf(c_123,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_124,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_123]) ).
cnf(c_129,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_130,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_129]) ).
cnf(c_285,plain,
theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_118]) ).
cnf(c_287,plain,
theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[status(thm)],[c_55,c_118]) ).
cnf(c_292,plain,
theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(superposition,[status(thm)],[c_55,c_285]) ).
cnf(c_294,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_124]) ).
cnf(c_305,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_106,c_57]) ).
cnf(c_306,plain,
( ~ theorem(X0)
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_112,c_57]) ).
cnf(c_308,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_124,c_57]) ).
cnf(c_310,plain,
( ~ theorem(or(X0,not(X1)))
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_285,c_57]) ).
cnf(c_353,plain,
( ~ theorem(implies(X0,X1))
| theorem(or(X1,not(X0))) ),
inference(superposition,[status(thm)],[c_287,c_57]) ).
cnf(c_356,plain,
( ~ theorem(implies(p,p))
| theorem(or(p,not(p))) ),
inference(instantiation,[status(thm)],[c_353]) ).
cnf(c_404,plain,
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X1,not(X0))) ),
inference(superposition,[status(thm)],[c_292,c_57]) ).
cnf(c_448,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_130,c_57]) ).
cnf(c_457,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_294,c_55]) ).
cnf(c_460,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_457,c_57]) ).
cnf(c_463,plain,
( ~ theorem(implies(p,or(p,p)))
| theorem(or(p,implies(p,p))) ),
inference(instantiation,[status(thm)],[c_460]) ).
cnf(c_517,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_306,c_308]) ).
cnf(c_626,plain,
( ~ theorem(or(not(X0),X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_55,c_517]) ).
cnf(c_639,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(light_normalisation,[status(thm)],[c_626,c_55]) ).
cnf(c_788,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_639,c_57]) ).
cnf(c_878,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X1,X0))) ),
inference(superposition,[status(thm)],[c_118,c_788]) ).
cnf(c_1199,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_448,c_57]) ).
cnf(c_1404,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ),
inference(superposition,[status(thm)],[c_878,c_308]) ).
cnf(c_1604,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_55,c_1404]) ).
cnf(c_1690,plain,
( ~ theorem(or(X0,implies(X1,X0)))
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_1604,c_305]) ).
cnf(c_1708,plain,
( ~ theorem(or(p,implies(p,p)))
| theorem(implies(p,p)) ),
inference(instantiation,[status(thm)],[c_1690]) ).
cnf(c_2095,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_112,c_460]) ).
cnf(c_2334,plain,
theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_2095,c_1690]) ).
cnf(c_2340,plain,
theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_2334,c_404]) ).
cnf(c_8106,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(not(X1)))) ),
inference(superposition,[status(thm)],[c_2340,c_1199]) ).
cnf(c_39960,plain,
( ~ theorem(or(X0,X1))
| theorem(implies(not(X1),X0)) ),
inference(superposition,[status(thm)],[c_8106,c_310]) ).
cnf(c_40358,plain,
~ theorem(or(p,not(p))),
inference(superposition,[status(thm)],[c_39960,c_49]) ).
cnf(c_40398,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_40358,c_1708,c_463,c_356,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.16 % Command : run_iprover %s %d THM
% 0.17/0.38 % Computer : n008.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Fri Aug 25 03:17:33 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.24/0.54 Running first-order theorem proving
% 0.24/0.54 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.19/2.77 % SZS status Started for theBenchmark.p
% 13.19/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 13.19/2.77
% 13.19/2.77 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.19/2.77
% 13.19/2.77 ------ iProver source info
% 13.19/2.77
% 13.19/2.77 git: date: 2023-05-31 18:12:56 +0000
% 13.19/2.77 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.19/2.77 git: non_committed_changes: false
% 13.19/2.77 git: last_make_outside_of_git: false
% 13.19/2.77
% 13.19/2.77 ------ Parsing...successful
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77 ------ 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
% 13.19/2.77
% 13.19/2.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.19/2.77
% 13.19/2.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 13.19/2.77 ------ Proving...
% 13.19/2.77 ------ Problem Properties
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77 clauses 8
% 13.19/2.77 conjectures 1
% 13.19/2.77 EPR 0
% 13.19/2.77 Horn 8
% 13.19/2.77 unary 7
% 13.19/2.77 binary 0
% 13.19/2.77 lits 10
% 13.19/2.77 lits eq 1
% 13.19/2.77 fd_pure 0
% 13.19/2.77 fd_pseudo 0
% 13.19/2.77 fd_cond 0
% 13.19/2.77 fd_pseudo_cond 0
% 13.19/2.77 AC symbols 0
% 13.19/2.77
% 13.19/2.77 ------ Schedule dynamic 5 is on
% 13.19/2.77
% 13.19/2.77 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77 ------
% 13.19/2.77 Current options:
% 13.19/2.77 ------
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77 ------ Proving...
% 13.19/2.77
% 13.19/2.77
% 13.19/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 13.19/2.77
% 13.19/2.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.19/2.77
% 13.19/2.77
%------------------------------------------------------------------------------