TSTP Solution File: SET097-7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET097-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Fri May 3 02:59:52 EDT 2024
% Result : Unsatisfiable 39.66s 6.27s
% Output : CNFRefutation 39.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of clauses : 38 ( 12 unt; 13 nHn; 30 RR)
% Number of literals : 73 ( 26 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_60,plain,
~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
cnf(c_62,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
cnf(c_63,plain,
( X0 = null_class
| member(not_subclass_element(X0,null_class),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
cnf(c_82,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(c_97,plain,
( ~ subclass(X0,singleton(X1))
| singleton(X1) = X0
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_subsets_of_singleton) ).
cnf(c_98,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_1) ).
cnf(c_99,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_2) ).
cnf(c_100,negated_conjecture,
null_class != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_3) ).
cnf(c_101,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_102,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_103,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_104,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_123,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_125,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_166,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_10243,plain,
subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),
inference(superposition,[status(thm)],[c_102,c_98]) ).
cnf(c_10252,plain,
intersection(complement(singleton(not_subclass_element(x,null_class))),x) = null_class,
inference(superposition,[status(thm)],[c_10243,c_62]) ).
cnf(c_10573,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_104,c_101]) ).
cnf(c_10949,plain,
( ~ member(X0,complement(singleton(not_subclass_element(x,null_class))))
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_10252,c_123]) ).
cnf(c_10961,plain,
( ~ member(X0,complement(singleton(not_subclass_element(x,null_class))))
| ~ member(X0,x) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10949,c_60]) ).
cnf(c_10993,plain,
( ~ member(X0,universal_class)
| ~ member(X0,x)
| member(X0,singleton(not_subclass_element(x,null_class))) ),
inference(superposition,[status(thm)],[c_125,c_10961]) ).
cnf(c_11000,plain,
( ~ member(X0,x)
| member(X0,singleton(not_subclass_element(x,null_class))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_10573]) ).
cnf(c_11003,plain,
( ~ member(X0,x)
| not_subclass_element(x,null_class) = X0 ),
inference(superposition,[status(thm)],[c_11000,c_82]) ).
cnf(c_11017,plain,
( not_subclass_element(x,null_class) = regular(x)
| null_class = x ),
inference(superposition,[status(thm)],[c_166,c_11003]) ).
cnf(c_11018,plain,
not_subclass_element(x,null_class) = regular(x),
inference(forward_subsumption_resolution,[status(thm)],[c_11017,c_100]) ).
cnf(c_11020,plain,
( ~ member(X0,x)
| regular(x) = X0 ),
inference(demodulation,[status(thm)],[c_11003,c_11018]) ).
cnf(c_11024,plain,
( ~ member(X0,x)
| member(X0,singleton(regular(x))) ),
inference(demodulation,[status(thm)],[c_11000,c_11018]) ).
cnf(c_11027,plain,
singleton(regular(x)) != x,
inference(demodulation,[status(thm)],[c_99,c_11018]) ).
cnf(c_11036,plain,
( null_class = x
| member(regular(x),x) ),
inference(superposition,[status(thm)],[c_11018,c_63]) ).
cnf(c_11037,plain,
member(regular(x),x),
inference(forward_subsumption_resolution,[status(thm)],[c_11036,c_100]) ).
cnf(c_11342,plain,
( not_subclass_element(x,X0) = regular(x)
| subclass(x,X0) ),
inference(superposition,[status(thm)],[c_102,c_11020]) ).
cnf(c_12507,plain,
( not_subclass_element(x,singleton(X0)) = regular(x)
| singleton(X0) = x
| null_class = x ),
inference(superposition,[status(thm)],[c_11342,c_97]) ).
cnf(c_12508,plain,
( not_subclass_element(x,singleton(X0)) = regular(x)
| singleton(X0) = x ),
inference(forward_subsumption_resolution,[status(thm)],[c_12507,c_100]) ).
cnf(c_12533,plain,
( ~ member(regular(x),singleton(X0))
| singleton(X0) = x
| subclass(x,singleton(X0)) ),
inference(superposition,[status(thm)],[c_12508,c_103]) ).
cnf(c_12579,plain,
( ~ member(regular(x),x)
| singleton(regular(x)) = x
| subclass(x,singleton(regular(x))) ),
inference(superposition,[status(thm)],[c_11024,c_12533]) ).
cnf(c_12582,plain,
subclass(x,singleton(regular(x))),
inference(forward_subsumption_resolution,[status(thm)],[c_12579,c_11027,c_11037]) ).
cnf(c_13442,plain,
( singleton(regular(x)) = x
| null_class = x ),
inference(superposition,[status(thm)],[c_12582,c_97]) ).
cnf(c_13443,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13442,c_100,c_11027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET097-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 20:36:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 39.66/6.27 % SZS status Started for theBenchmark.p
% 39.66/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 39.66/6.27
% 39.66/6.27 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.66/6.27
% 39.66/6.27 ------ iProver source info
% 39.66/6.27
% 39.66/6.27 git: date: 2024-05-02 19:28:25 +0000
% 39.66/6.27 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.66/6.27 git: non_committed_changes: false
% 39.66/6.27
% 39.66/6.27 ------ Parsing...successful
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 39.66/6.27
% 39.66/6.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.66/6.27
% 39.66/6.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 39.66/6.27 ------ Proving...
% 39.66/6.27 ------ Problem Properties
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27 clauses 133
% 39.66/6.27 conjectures 3
% 39.66/6.27 EPR 18
% 39.66/6.27 Horn 112
% 39.66/6.27 unary 44
% 39.66/6.27 binary 56
% 39.66/6.27 lits 262
% 39.66/6.27 lits eq 77
% 39.66/6.27 fd_pure 0
% 39.66/6.27 fd_pseudo 0
% 39.66/6.27 fd_cond 5
% 39.66/6.27 fd_pseudo_cond 14
% 39.66/6.27 AC symbols 0
% 39.66/6.27
% 39.66/6.27 ------ Input Options Time Limit: Unbounded
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27 ------
% 39.66/6.27 Current options:
% 39.66/6.27 ------
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27 ------ Proving...
% 39.66/6.27
% 39.66/6.27
% 39.66/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 39.66/6.27
% 39.66/6.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.66/6.27
% 39.66/6.27
%------------------------------------------------------------------------------