TSTP Solution File: LCL272-3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL272-3 : 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 : Thu Aug 31 07:43:40 EDT 2023
% Result : Unsatisfiable 29.13s 4.72s
% Output : CNFRefutation 29.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of clauses : 72 ( 33 unt; 0 nHn; 25 RR)
% Number of literals : 114 ( 9 equ; 43 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 : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 161 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(equivalent(p,or(p,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
and(implies(X0,X1),implies(X1,X0)) = equivalent(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
cnf(c_51,plain,
not(or(not(X0),not(X1))) = and(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(c_52,plain,
axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_53,plain,
axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c_54,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c_55,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_56,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_57,plain,
or(not(X0),X1) = implies(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c_58,plain,
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(c_59,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c_105,plain,
not(implies(X0,not(X1))) = and(X0,X1),
inference(demodulation,[status(thm)],[c_51,c_57]) ).
cnf(c_117,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_58]) ).
cnf(c_118,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_117]) ).
cnf(c_123,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_53,c_58]) ).
cnf(c_124,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_123]) ).
cnf(c_129,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_54,c_58]) ).
cnf(c_130,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_129]) ).
cnf(c_135,plain,
( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_55,c_58]) ).
cnf(c_136,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_135]) ).
cnf(c_141,plain,
( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_56,c_58]) ).
cnf(c_142,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_141]) ).
cnf(c_339,plain,
theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(superposition,[status(thm)],[c_57,c_130]) ).
cnf(c_348,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_57,c_136]) ).
cnf(c_359,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_118,c_59]) ).
cnf(c_360,plain,
( ~ theorem(X0)
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_124,c_59]) ).
cnf(c_361,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_130,c_59]) ).
cnf(c_362,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_136,c_59]) ).
cnf(c_364,plain,
( ~ theorem(or(X0,not(X1)))
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_339,c_59]) ).
cnf(c_508,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_142,c_59]) ).
cnf(c_571,plain,
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X1,not(X0))) ),
inference(superposition,[status(thm)],[c_57,c_364]) ).
cnf(c_662,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_348,c_57]) ).
cnf(c_665,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_662,c_59]) ).
cnf(c_685,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_360,c_362]) ).
cnf(c_830,plain,
( ~ theorem(or(not(X0),X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_57,c_685]) ).
cnf(c_831,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_57,c_685]) ).
cnf(c_832,plain,
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_685,c_359]) ).
cnf(c_833,plain,
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) ),
inference(superposition,[status(thm)],[c_685,c_361]) ).
cnf(c_843,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(light_normalisation,[status(thm)],[c_830,c_57]) ).
cnf(c_887,plain,
( ~ theorem(or(implies(X0,X1),X1))
| theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_831,c_359]) ).
cnf(c_903,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_843,c_59]) ).
cnf(c_979,plain,
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_833,c_832]) ).
cnf(c_999,plain,
( ~ theorem(or(implies(X0,X1),X1))
| theorem(or(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_831,c_979]) ).
cnf(c_1043,plain,
( ~ theorem(or(implies(X0,or(X1,X2)),X2))
| theorem(implies(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_685,c_887]) ).
cnf(c_1177,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X1,X0))) ),
inference(superposition,[status(thm)],[c_130,c_903]) ).
cnf(c_1731,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ),
inference(superposition,[status(thm)],[c_1177,c_362]) ).
cnf(c_2268,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_57,c_1731]) ).
cnf(c_2565,plain,
( ~ theorem(or(X0,implies(X1,X0)))
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_2268,c_359]) ).
cnf(c_3754,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_124,c_665]) ).
cnf(c_3755,plain,
theorem(or(X0,implies(or(X1,X0),X1))),
inference(superposition,[status(thm)],[c_130,c_665]) ).
cnf(c_3756,plain,
theorem(or(X0,implies(or(X1,or(X0,X2)),or(X1,X2)))),
inference(superposition,[status(thm)],[c_136,c_665]) ).
cnf(c_3875,plain,
theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_3754,c_2565]) ).
cnf(c_4009,plain,
theorem(or(X0,implies(or(X0,X1),X1))),
inference(superposition,[status(thm)],[c_3875,c_665]) ).
cnf(c_4177,plain,
theorem(or(implies(or(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_3755,c_361]) ).
cnf(c_4190,plain,
theorem(implies(X0,implies(or(not(X0),X1),X1))),
inference(superposition,[status(thm)],[c_57,c_4009]) ).
cnf(c_4195,plain,
theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(light_normalisation,[status(thm)],[c_4190,c_57]) ).
cnf(c_4213,plain,
( ~ theorem(X0)
| theorem(implies(implies(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_4195,c_59]) ).
cnf(c_4303,plain,
( ~ theorem(X0)
| theorem(implies(X1,not(implies(X0,not(X1))))) ),
inference(superposition,[status(thm)],[c_4213,c_571]) ).
cnf(c_4307,plain,
( ~ theorem(X0)
| theorem(implies(X1,and(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_4303,c_105]) ).
cnf(c_4713,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(implies(X1,X0),equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_50,c_4307]) ).
cnf(c_6916,plain,
theorem(or(implies(or(X0,or(X1,X2)),or(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_3756,c_361]) ).
cnf(c_10374,plain,
theorem(or(X0,implies(or(X1,X1),X1))),
inference(superposition,[status(thm)],[c_4177,c_999]) ).
cnf(c_22103,plain,
theorem(implies(or(X0,or(X1,X1)),or(X0,X1))),
inference(superposition,[status(thm)],[c_6916,c_1043]) ).
cnf(c_22120,plain,
theorem(implies(implies(X0,or(X1,X1)),or(not(X0),X1))),
inference(superposition,[status(thm)],[c_57,c_22103]) ).
cnf(c_22130,plain,
theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),
inference(light_normalisation,[status(thm)],[c_22120,c_57]) ).
cnf(c_22156,plain,
( ~ theorem(implies(X0,or(X1,X1)))
| theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_22130,c_59]) ).
cnf(c_22646,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_508,c_22156]) ).
cnf(c_22993,plain,
( ~ theorem(or(X0,X1))
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_22646,c_59]) ).
cnf(c_25018,plain,
( ~ theorem(implies(implies(or(X0,X0),X0),X1))
| theorem(X1) ),
inference(superposition,[status(thm)],[c_10374,c_22993]) ).
cnf(c_122785,plain,
( ~ theorem(implies(X0,or(X0,X0)))
| theorem(equivalent(X0,or(X0,X0))) ),
inference(superposition,[status(thm)],[c_4713,c_25018]) ).
cnf(c_122795,plain,
theorem(equivalent(X0,or(X0,X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_122785,c_124]) ).
cnf(c_122815,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_122795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 : Fri Aug 25 06:39:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.13/4.72 % SZS status Started for theBenchmark.p
% 29.13/4.72 % SZS status Unsatisfiable for theBenchmark.p
% 29.13/4.72
% 29.13/4.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 29.13/4.72
% 29.13/4.72 ------ iProver source info
% 29.13/4.72
% 29.13/4.72 git: date: 2023-05-31 18:12:56 +0000
% 29.13/4.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 29.13/4.72 git: non_committed_changes: false
% 29.13/4.72 git: last_make_outside_of_git: false
% 29.13/4.72
% 29.13/4.72 ------ Parsing...successful
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72 ------ 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
% 29.13/4.72
% 29.13/4.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 29.13/4.72
% 29.13/4.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 29.13/4.72 ------ Proving...
% 29.13/4.72 ------ Problem Properties
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72 clauses 10
% 29.13/4.72 conjectures 1
% 29.13/4.72 EPR 0
% 29.13/4.72 Horn 10
% 29.13/4.72 unary 9
% 29.13/4.72 binary 0
% 29.13/4.72 lits 12
% 29.13/4.72 lits eq 3
% 29.13/4.72 fd_pure 0
% 29.13/4.72 fd_pseudo 0
% 29.13/4.72 fd_cond 0
% 29.13/4.72 fd_pseudo_cond 0
% 29.13/4.72 AC symbols 0
% 29.13/4.72
% 29.13/4.72 ------ Schedule dynamic 5 is on
% 29.13/4.72
% 29.13/4.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72 ------
% 29.13/4.72 Current options:
% 29.13/4.72 ------
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72 ------ Proving...
% 29.13/4.72
% 29.13/4.72
% 29.13/4.72 % SZS status Unsatisfiable for theBenchmark.p
% 29.13/4.72
% 29.13/4.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.13/4.72
% 29.13/4.73
%------------------------------------------------------------------------------