TSTP Solution File: NUM156-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM156-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 11:28:44 EDT 2023
% Result : Unsatisfiable 15.04s 2.70s
% Output : CNFRefutation 15.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 9 unt; 4 nHn; 17 RR)
% Number of literals : 45 ( 4 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ member(null_class,kind_1_ordinals),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_kind_1_1) ).
cnf(c_75,plain,
union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals,
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',kind_1_ordinals) ).
cnf(c_117,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_120,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_125,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_128,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_137,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_140,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_141,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_142,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_163,plain,
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(c_166,plain,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(c_507,plain,
( ~ inductive(X0)
| member(null_class,X0) ),
inference(prop_impl_just,[status(thm)],[c_163]) ).
cnf(c_1886,plain,
( X0 != omega
| member(null_class,X0) ),
inference(resolution_lifted,[status(thm)],[c_507,c_166]) ).
cnf(c_1887,plain,
member(null_class,omega),
inference(unflattening,[status(thm)],[c_1886]) ).
cnf(c_5774,plain,
( ~ subclass(omega,X0)
| member(null_class,X0) ),
inference(superposition,[status(thm)],[c_1887,c_117]) ).
cnf(c_5786,plain,
member(null_class,universal_class),
inference(superposition,[status(thm)],[c_120,c_5774]) ).
cnf(c_5831,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_128,c_125]) ).
cnf(c_6125,plain,
( ~ member(X0,universal_class)
| member(X0,intersection(complement(X1),complement(X2)))
| member(X0,union(X1,X2)) ),
inference(superposition,[status(thm)],[c_142,c_141]) ).
cnf(c_6137,plain,
( ~ member(X0,universal_class)
| member(X0,union(X1,X2))
| member(X0,complement(X1)) ),
inference(superposition,[status(thm)],[c_6125,c_137]) ).
cnf(c_6185,plain,
( ~ member(X0,universal_class)
| member(X0,complement(singleton(null_class)))
| member(X0,kind_1_ordinals) ),
inference(superposition,[status(thm)],[c_75,c_6137]) ).
cnf(c_6392,plain,
( ~ member(X0,singleton(null_class))
| ~ member(X0,universal_class)
| member(X0,kind_1_ordinals) ),
inference(superposition,[status(thm)],[c_6185,c_140]) ).
cnf(c_7506,plain,
( ~ member(null_class,universal_class)
| member(null_class,kind_1_ordinals) ),
inference(superposition,[status(thm)],[c_5831,c_6392]) ).
cnf(c_7507,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7506,c_49,c_5786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM156-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.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 : Fri Aug 25 11:07:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.04/2.70 % SZS status Started for theBenchmark.p
% 15.04/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 15.04/2.70
% 15.04/2.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 15.04/2.70
% 15.04/2.70 ------ iProver source info
% 15.04/2.70
% 15.04/2.70 git: date: 2023-05-31 18:12:56 +0000
% 15.04/2.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 15.04/2.70 git: non_committed_changes: false
% 15.04/2.70 git: last_make_outside_of_git: false
% 15.04/2.70
% 15.04/2.70 ------ Parsing...successful
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 15.04/2.70
% 15.04/2.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.04/2.70
% 15.04/2.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.04/2.70 ------ Proving...
% 15.04/2.70 ------ Problem Properties
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70 clauses 138
% 15.04/2.70 conjectures 1
% 15.04/2.70 EPR 15
% 15.04/2.70 Horn 126
% 15.04/2.70 unary 49
% 15.04/2.70 binary 58
% 15.04/2.70 lits 272
% 15.04/2.70 lits eq 62
% 15.04/2.70 fd_pure 0
% 15.04/2.70 fd_pseudo 0
% 15.04/2.70 fd_cond 5
% 15.04/2.70 fd_pseudo_cond 10
% 15.04/2.70 AC symbols 0
% 15.04/2.70
% 15.04/2.70 ------ Input Options Time Limit: Unbounded
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70 ------
% 15.04/2.70 Current options:
% 15.04/2.70 ------
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70 ------ Proving...
% 15.04/2.70
% 15.04/2.70
% 15.04/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 15.04/2.70
% 15.04/2.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.04/2.70
% 15.04/2.70
%------------------------------------------------------------------------------