TSTP Solution File: SET146-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET146-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 15:06:49 EDT 2023
% Result : Unsatisfiable 3.01s 1.15s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 8 unt; 6 nHn; 14 RR)
% Number of literals : 44 ( 10 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
intersection(null_class,x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_with_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_73,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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
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_4190,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_4265,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4266,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4271,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4266]) ).
cnf(c_4399,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4461,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4399]) ).
cnf(c_4954,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4461,c_4265]) ).
cnf(c_4996,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_4954,c_71]) ).
cnf(c_5006,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_4996]) ).
cnf(c_5009,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5006]) ).
cnf(c_5172,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5006,c_4271,c_5009]) ).
cnf(c_5175,plain,
subclass(null_class,X0),
inference(demodulation,[status(thm)],[c_4954,c_5172]) ).
cnf(c_5195,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_5175,c_77]) ).
cnf(c_6523,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4190,c_73]) ).
cnf(c_6739,plain,
intersection(null_class,X0) = null_class,
inference(superposition,[status(thm)],[c_6523,c_5195]) ).
cnf(c_6742,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_6739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET146-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 12:34:15 EDT 2023
% 0.13/0.33 % 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
% 3.01/1.15 % SZS status Started for theBenchmark.p
% 3.01/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.15
% 3.01/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.01/1.15
% 3.01/1.15 ------ iProver source info
% 3.01/1.15
% 3.01/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.01/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.01/1.15 git: non_committed_changes: false
% 3.01/1.15 git: last_make_outside_of_git: false
% 3.01/1.15
% 3.01/1.15 ------ Parsing...successful
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 ------ 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
% 3.01/1.15
% 3.01/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.01/1.15
% 3.01/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.01/1.15 ------ Proving...
% 3.01/1.15 ------ Problem Properties
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 clauses 101
% 3.01/1.15 conjectures 1
% 3.01/1.15 EPR 12
% 3.01/1.15 Horn 93
% 3.01/1.15 unary 40
% 3.01/1.15 binary 40
% 3.01/1.15 lits 189
% 3.01/1.15 lits eq 45
% 3.01/1.15 fd_pure 0
% 3.01/1.15 fd_pseudo 0
% 3.01/1.15 fd_cond 3
% 3.01/1.15 fd_pseudo_cond 7
% 3.01/1.15 AC symbols 0
% 3.01/1.15
% 3.01/1.15 ------ Schedule dynamic 5 is on
% 3.01/1.15
% 3.01/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 ------
% 3.01/1.15 Current options:
% 3.01/1.15 ------
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 ------ Proving...
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.15
% 3.01/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.01/1.15
% 3.01/1.15
%------------------------------------------------------------------------------