TSTP Solution File: SET195-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 03:00:15 EDT 2024
% Result : Unsatisfiable 147.95s 20.27s
% Output : CNFRefutation 147.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 5 unt; 6 nHn; 17 RR)
% Number of literals : 48 ( 1 equ; 23 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 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 : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(y,union(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_upper_bound2_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_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_95,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_96,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_3866,plain,
( member(not_subclass_element(y,union(x,y)),y)
| subclass(y,union(x,y)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_3926,plain,
( ~ member(not_subclass_element(y,union(x,y)),y)
| ~ subclass(y,X0)
| member(not_subclass_element(y,union(x,y)),X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_3927,plain,
( ~ member(not_subclass_element(y,union(x,y)),y)
| ~ subclass(y,universal_class)
| member(not_subclass_element(y,union(x,y)),universal_class) ),
inference(instantiation,[status(thm)],[c_3926]) ).
cnf(c_4436,plain,
subclass(y,universal_class),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_4936,plain,
( ~ member(X0,universal_class)
| member(X0,intersection(complement(X1),complement(X2)))
| member(X0,union(X1,X2)) ),
inference(superposition,[status(thm)],[c_96,c_95]) ).
cnf(c_9446,plain,
( ~ member(not_subclass_element(y,union(x,y)),union(x,y))
| subclass(y,union(x,y)) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_84143,plain,
( ~ member(not_subclass_element(y,union(x,y)),complement(X0))
| ~ member(not_subclass_element(y,union(x,y)),X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_85832,plain,
( ~ member(X0,intersection(X1,complement(X2)))
| member(X0,complement(X2)) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_101242,plain,
( ~ member(not_subclass_element(y,union(x,y)),intersection(X0,complement(X1)))
| member(not_subclass_element(y,union(x,y)),complement(X1)) ),
inference(instantiation,[status(thm)],[c_85832]) ).
cnf(c_165285,plain,
( ~ member(not_subclass_element(y,union(x,y)),universal_class)
| member(not_subclass_element(y,union(x,y)),intersection(complement(X0),complement(X1)))
| member(not_subclass_element(y,union(x,y)),union(X0,X1)) ),
inference(instantiation,[status(thm)],[c_4936]) ).
cnf(c_172174,plain,
( ~ member(not_subclass_element(y,union(x,y)),universal_class)
| member(not_subclass_element(y,union(x,y)),intersection(complement(x),complement(y)))
| member(not_subclass_element(y,union(x,y)),union(x,y)) ),
inference(instantiation,[status(thm)],[c_165285]) ).
cnf(c_222369,plain,
( ~ member(not_subclass_element(y,union(x,y)),intersection(complement(x),complement(y)))
| member(not_subclass_element(y,union(x,y)),complement(y)) ),
inference(instantiation,[status(thm)],[c_101242]) ).
cnf(c_245802,plain,
( ~ member(not_subclass_element(y,union(x,y)),complement(y))
| ~ member(not_subclass_element(y,union(x,y)),y) ),
inference(instantiation,[status(thm)],[c_84143]) ).
cnf(c_245803,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_245802,c_222369,c_172174,c_9446,c_4436,c_3927,c_3866,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:25:20 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 147.95/20.27 % SZS status Started for theBenchmark.p
% 147.95/20.27 % SZS status Unsatisfiable for theBenchmark.p
% 147.95/20.27
% 147.95/20.27 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 147.95/20.27
% 147.95/20.27 ------ iProver source info
% 147.95/20.27
% 147.95/20.27 git: date: 2024-05-02 19:28:25 +0000
% 147.95/20.27 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 147.95/20.27 git: non_committed_changes: false
% 147.95/20.27
% 147.95/20.27 ------ Parsing...successful
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27 ------ 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
% 147.95/20.27
% 147.95/20.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 147.95/20.27
% 147.95/20.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 147.95/20.27 ------ Proving...
% 147.95/20.27 ------ Problem Properties
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27 clauses 101
% 147.95/20.27 conjectures 1
% 147.95/20.27 EPR 12
% 147.95/20.27 Horn 93
% 147.95/20.27 unary 40
% 147.95/20.27 binary 40
% 147.95/20.27 lits 189
% 147.95/20.27 lits eq 44
% 147.95/20.27 fd_pure 0
% 147.95/20.27 fd_pseudo 0
% 147.95/20.27 fd_cond 3
% 147.95/20.27 fd_pseudo_cond 7
% 147.95/20.27 AC symbols 0
% 147.95/20.27
% 147.95/20.27 ------ Input Options Time Limit: Unbounded
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27 ------
% 147.95/20.27 Current options:
% 147.95/20.27 ------
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27 ------ Proving...
% 147.95/20.27
% 147.95/20.27
% 147.95/20.27 % SZS status Unsatisfiable for theBenchmark.p
% 147.95/20.27
% 147.95/20.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 147.95/20.27
% 147.95/20.27
%------------------------------------------------------------------------------