TSTP Solution File: SET096-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET096-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 15:06:27 EDT 2023
% Result : Unsatisfiable 3.77s 1.16s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 9 unt; 6 nHn; 19 RR)
% Number of literals : 40 ( 16 equ; 14 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 : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
cnf(c_50,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
cnf(c_51,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
cnf(c_52,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_53,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_54,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_58,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_59,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_63,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_117,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_3877,plain,
( ~ member(X0,x)
| member(X0,singleton(y)) ),
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_4320,plain,
( ~ subclass(singleton(y),x)
| singleton(y) = x ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
cnf(c_4343,plain,
~ subclass(singleton(y),x),
inference(forward_subsumption_resolution,[status(thm)],[c_4320,c_51]) ).
cnf(c_4695,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_63,c_59]) ).
cnf(c_4729,plain,
( not_subclass_element(singleton(X0),X1) = X0
| subclass(singleton(X0),X1) ),
inference(superposition,[status(thm)],[c_53,c_4695]) ).
cnf(c_4733,plain,
( ~ member(X0,x)
| X0 = y ),
inference(superposition,[status(thm)],[c_3877,c_4695]) ).
cnf(c_4756,plain,
( regular(x) = y
| x = null_class ),
inference(superposition,[status(thm)],[c_117,c_4733]) ).
cnf(c_4758,plain,
regular(x) = y,
inference(forward_subsumption_resolution,[status(thm)],[c_4756,c_50]) ).
cnf(c_4773,plain,
( x = null_class
| member(y,x) ),
inference(superposition,[status(thm)],[c_4758,c_117]) ).
cnf(c_4774,plain,
member(y,x),
inference(forward_subsumption_resolution,[status(thm)],[c_4773,c_50]) ).
cnf(c_8769,plain,
not_subclass_element(singleton(y),x) = y,
inference(superposition,[status(thm)],[c_4729,c_4343]) ).
cnf(c_8858,plain,
( ~ member(y,x)
| subclass(singleton(y),x) ),
inference(superposition,[status(thm)],[c_8769,c_54]) ).
cnf(c_8861,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8858,c_4343,c_4774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET096-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 09:57:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.77/1.16 % SZS status Started for theBenchmark.p
% 3.77/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.16
% 3.77/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.77/1.16
% 3.77/1.16 ------ iProver source info
% 3.77/1.16
% 3.77/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.77/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.77/1.16 git: non_committed_changes: false
% 3.77/1.16 git: last_make_outside_of_git: false
% 3.77/1.16
% 3.77/1.16 ------ Parsing...successful
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------ 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
% 3.77/1.16
% 3.77/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.77/1.16
% 3.77/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.77/1.16 ------ Proving...
% 3.77/1.16 ------ Problem Properties
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 clauses 86
% 3.77/1.16 conjectures 3
% 3.77/1.16 EPR 13
% 3.77/1.16 Horn 78
% 3.77/1.16 unary 34
% 3.77/1.16 binary 32
% 3.77/1.16 lits 164
% 3.77/1.16 lits eq 38
% 3.77/1.16 fd_pure 0
% 3.77/1.16 fd_pseudo 0
% 3.77/1.16 fd_cond 3
% 3.77/1.16 fd_pseudo_cond 3
% 3.77/1.16 AC symbols 0
% 3.77/1.16
% 3.77/1.16 ------ Schedule dynamic 5 is on
% 3.77/1.16
% 3.77/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------
% 3.77/1.16 Current options:
% 3.77/1.16 ------
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------ Proving...
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.16
% 3.77/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.16
% 3.77/1.16
%------------------------------------------------------------------------------