TSTP Solution File: SET510-6 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 15:08:09 EDT 2023
% Result : Unsatisfiable 3.81s 1.23s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 7 unt; 13 nHn; 21 RR)
% Number of literals : 72 ( 23 equ; 27 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
singleton(universal_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_singleton_is_null_class_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_78,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_79,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_82,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_137,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_4160,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_82,c_79]) ).
cnf(c_4163,plain,
( ~ member(universal_class,universal_class)
| member(universal_class,singleton(universal_class)) ),
inference(instantiation,[status(thm)],[c_4160]) ).
cnf(c_4248,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4249,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4254,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4249]) ).
cnf(c_4382,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4444,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4382]) ).
cnf(c_4451,plain,
( X0 = null_class
| member(regular(X0),universal_class) ),
inference(superposition,[status(thm)],[c_136,c_4382]) ).
cnf(c_4830,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4444,c_4248]) ).
cnf(c_4872,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_4830,c_71]) ).
cnf(c_4882,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_4872]) ).
cnf(c_4885,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_4882]) ).
cnf(c_5048,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_4882,c_4254,c_4885]) ).
cnf(c_5050,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_4872,c_5048]) ).
cnf(c_5061,plain,
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5048,c_94]) ).
cnf(c_5077,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5050,c_4382,c_5050,c_5061]) ).
cnf(c_5812,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_82,c_78]) ).
cnf(c_5901,plain,
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_5812]) ).
cnf(c_6226,plain,
( intersection(singleton(X0),X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_5901,c_137]) ).
cnf(c_6227,plain,
( singleton(X0) = null_class
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5901,c_4451]) ).
cnf(c_6237,plain,
( singleton(universal_class) = null_class
| member(universal_class,universal_class) ),
inference(instantiation,[status(thm)],[c_6227]) ).
cnf(c_12711,plain,
( ~ member(X0,singleton(X1))
| ~ member(X0,X1)
| singleton(X1) = null_class
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_6226,c_93]) ).
cnf(c_12736,plain,
( ~ member(X0,singleton(X1))
| ~ member(X0,X1)
| singleton(X1) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_12711,c_5077]) ).
cnf(c_12745,plain,
( ~ member(universal_class,singleton(universal_class))
| ~ member(universal_class,universal_class)
| singleton(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_12736]) ).
cnf(c_12746,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12745,c_6237,c_4163,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.16 % Command : run_iprover %s %d THM
% 0.16/0.38 % Computer : n026.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 14:08:18 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.81/1.23 % SZS status Started for theBenchmark.p
% 3.81/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.23
% 3.81/1.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.81/1.23
% 3.81/1.23 ------ iProver source info
% 3.81/1.23
% 3.81/1.23 git: date: 2023-05-31 18:12:56 +0000
% 3.81/1.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.81/1.23 git: non_committed_changes: false
% 3.81/1.23 git: last_make_outside_of_git: false
% 3.81/1.23
% 3.81/1.23 ------ Parsing...successful
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 3.81/1.23
% 3.81/1.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.81/1.23
% 3.81/1.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.81/1.23 ------ Proving...
% 3.81/1.23 ------ Problem Properties
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23 clauses 101
% 3.81/1.23 conjectures 1
% 3.81/1.23 EPR 12
% 3.81/1.23 Horn 93
% 3.81/1.23 unary 40
% 3.81/1.23 binary 40
% 3.81/1.23 lits 189
% 3.81/1.23 lits eq 45
% 3.81/1.23 fd_pure 0
% 3.81/1.23 fd_pseudo 0
% 3.81/1.23 fd_cond 3
% 3.81/1.23 fd_pseudo_cond 7
% 3.81/1.23 AC symbols 0
% 3.81/1.23
% 3.81/1.23 ------ Schedule dynamic 5 is on
% 3.81/1.23
% 3.81/1.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23 ------
% 3.81/1.23 Current options:
% 3.81/1.23 ------
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23 ------ Proving...
% 3.81/1.23
% 3.81/1.23
% 3.81/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.23
% 3.81/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.24
% 3.81/1.24
%------------------------------------------------------------------------------