TSTP Solution File: SET098-7 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 15:06:29 EDT 2023
% Result : Unsatisfiable 4.00s 1.16s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 6 unt; 5 nHn; 8 RR)
% Number of literals : 21 ( 11 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_63,plain,
( X0 = null_class
| member(not_subclass_element(X0,null_class),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).
cnf(c_98,plain,
( singleton(not_subclass_element(X0,null_class)) = X0
| X0 = null_class
| member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',number_of_elements_in_class) ).
cnf(c_99,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
cnf(c_100,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
cnf(c_101,negated_conjecture,
null_class != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
cnf(c_123,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_6515,plain,
( intersection(X0,X1) = null_class
| member(not_subclass_element(intersection(X0,X1),null_class),X1) ),
inference(superposition,[status(thm)],[c_63,c_123]) ).
cnf(c_6649,plain,
( singleton(not_subclass_element(X0,null_class)) = X0
| X0 = null_class
| member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),X0) ),
inference(superposition,[status(thm)],[c_98,c_123]) ).
cnf(c_6840,plain,
intersection(complement(singleton(not_subclass_element(x,null_class))),x) = null_class,
inference(superposition,[status(thm)],[c_6515,c_99]) ).
cnf(c_6844,plain,
~ member(not_subclass_element(null_class,null_class),x),
inference(demodulation,[status(thm)],[c_99,c_6840]) ).
cnf(c_8291,plain,
( singleton(not_subclass_element(x,null_class)) = x
| null_class = x
| member(not_subclass_element(null_class,null_class),x) ),
inference(superposition,[status(thm)],[c_6840,c_6649]) ).
cnf(c_8319,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8291,c_6844,c_100,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 10:56:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.00/1.16 % SZS status Started for theBenchmark.p
% 4.00/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.00/1.16
% 4.00/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.00/1.16
% 4.00/1.16 ------ iProver source info
% 4.00/1.16
% 4.00/1.16 git: date: 2023-05-31 18:12:56 +0000
% 4.00/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.00/1.16 git: non_committed_changes: false
% 4.00/1.16 git: last_make_outside_of_git: false
% 4.00/1.16
% 4.00/1.16 ------ Parsing...successful
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------ 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
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.00/1.16 ------ Proving...
% 4.00/1.16 ------ Problem Properties
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 clauses 134
% 4.00/1.16 conjectures 3
% 4.00/1.16 EPR 18
% 4.00/1.16 Horn 112
% 4.00/1.16 unary 44
% 4.00/1.16 binary 56
% 4.00/1.16 lits 265
% 4.00/1.16 lits eq 79
% 4.00/1.16 fd_pure 0
% 4.00/1.16 fd_pseudo 0
% 4.00/1.16 fd_cond 5
% 4.00/1.16 fd_pseudo_cond 14
% 4.00/1.16 AC symbols 0
% 4.00/1.16
% 4.00/1.16 ------ Input Options Time Limit: Unbounded
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------
% 4.00/1.16 Current options:
% 4.00/1.16 ------
% 4.00/1.16
% 4.00/1.16
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% 4.00/1.16
% 4.00/1.16 ------ Proving...
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.00/1.16
% 4.00/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.00/1.16
% 4.00/1.16
%------------------------------------------------------------------------------