TSTP Solution File: SET245-6 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 15:07:20 EDT 2023
% Result : Unsatisfiable 2.49s 1.23s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 10 unt; 6 nHn; 14 RR)
% Number of literals : 46 ( 11 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 42 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
restrict(null_class,x,y) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_null_class1_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_73,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_98,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_4181,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_91]) ).
cnf(c_4247,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4248,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4253,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4248]) ).
cnf(c_4390,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4452,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4390]) ).
cnf(c_4848,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4452,c_4247]) ).
cnf(c_4891,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_4848,c_71]) ).
cnf(c_4901,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_4891]) ).
cnf(c_4904,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_4901]) ).
cnf(c_5079,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_4901,c_4253,c_4904]) ).
cnf(c_5082,plain,
subclass(null_class,X0),
inference(demodulation,[status(thm)],[c_4848,c_5079]) ).
cnf(c_5099,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_5082,c_77]) ).
cnf(c_6410,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4181,c_73]) ).
cnf(c_6611,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_98,c_6410]) ).
cnf(c_6844,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_6611,c_5099]) ).
cnf(c_6847,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_6844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.20 % Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.20 % Command : run_iprover %s %d THM
% 0.08/0.40 % Computer : n004.cluster.edu
% 0.08/0.40 % Model : x86_64 x86_64
% 0.08/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.40 % Memory : 8042.1875MB
% 0.08/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.40 % CPULimit : 300
% 0.08/0.40 % WCLimit : 300
% 0.08/0.40 % DateTime : Sat Aug 26 14:49:38 EDT 2023
% 0.08/0.40 % CPUTime :
% 0.12/0.51 Running first-order theorem proving
% 0.12/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.49/1.23 % SZS status Started for theBenchmark.p
% 2.49/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.49/1.23
% 2.49/1.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.49/1.23
% 2.49/1.23 ------ iProver source info
% 2.49/1.23
% 2.49/1.23 git: date: 2023-05-31 18:12:56 +0000
% 2.49/1.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.49/1.23 git: non_committed_changes: false
% 2.49/1.23 git: last_make_outside_of_git: false
% 2.49/1.23
% 2.49/1.23 ------ Parsing...successful
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23 ------ 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
% 2.49/1.23
% 2.49/1.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.49/1.23
% 2.49/1.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.49/1.23 ------ Proving...
% 2.49/1.23 ------ Problem Properties
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23 clauses 101
% 2.49/1.23 conjectures 1
% 2.49/1.23 EPR 12
% 2.49/1.23 Horn 93
% 2.49/1.23 unary 40
% 2.49/1.23 binary 40
% 2.49/1.23 lits 189
% 2.49/1.23 lits eq 45
% 2.49/1.23 fd_pure 0
% 2.49/1.23 fd_pseudo 0
% 2.49/1.23 fd_cond 3
% 2.49/1.23 fd_pseudo_cond 7
% 2.49/1.23 AC symbols 0
% 2.49/1.23
% 2.49/1.23 ------ Schedule dynamic 5 is on
% 2.49/1.23
% 2.49/1.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23 ------
% 2.49/1.23 Current options:
% 2.49/1.23 ------
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23 ------ Proving...
% 2.49/1.23
% 2.49/1.23
% 2.49/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.49/1.23
% 2.49/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.49/1.23
% 2.49/1.23
%------------------------------------------------------------------------------