TSTP Solution File: NUM183-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:48:21 EDT 2024
% Result : Unsatisfiable 14.08s 2.68s
% Output : CNFRefutation 14.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 10 unt; 5 nHn; 24 RR)
% Number of literals : 57 ( 1 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).
cnf(c_50,negated_conjecture,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).
cnf(c_51,negated_conjecture,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).
cnf(c_78,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',limit_ordinals) ).
cnf(c_119,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_120,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_121,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_122,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_139,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_141,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_143,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_180,plain,
( ~ function(X0)
| subclass(X0,cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',function1) ).
cnf(c_4676,negated_conjecture,
~ member(x,limit_ordinals),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_4678,negated_conjecture,
member(x,ordinal_numbers),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_6344,plain,
( ~ member(X0,limit_ordinals)
| member(X0,complement(kind_1_ordinals)) ),
inference(superposition,[status(thm)],[c_78,c_139]) ).
cnf(c_6362,plain,
( ~ member(not_subclass_element(X0,complement(kind_1_ordinals)),limit_ordinals)
| subclass(X0,complement(kind_1_ordinals)) ),
inference(superposition,[status(thm)],[c_6344,c_121]) ).
cnf(c_6717,plain,
( ~ subclass(ordinal_numbers,X0)
| member(x,X0) ),
inference(superposition,[status(thm)],[c_4678,c_119]) ).
cnf(c_6721,plain,
( ~ subclass(X0,X1)
| member(not_subclass_element(X0,X2),X1)
| subclass(X0,X2) ),
inference(superposition,[status(thm)],[c_120,c_119]) ).
cnf(c_6826,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_122,c_6717]) ).
cnf(c_6827,plain,
( ~ function(ordinal_numbers)
| member(x,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_180,c_6717]) ).
cnf(c_6841,plain,
( ~ subclass(cross_product(universal_class,universal_class),X0)
| ~ function(ordinal_numbers)
| member(x,X0) ),
inference(superposition,[status(thm)],[c_6827,c_119]) ).
cnf(c_7966,plain,
( ~ member(X0,complement(kind_1_ordinals))
| ~ member(X0,ordinal_numbers)
| member(X0,limit_ordinals) ),
inference(superposition,[status(thm)],[c_78,c_141]) ).
cnf(c_8158,plain,
( ~ member(x,universal_class)
| member(x,complement(X0))
| member(x,X0) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_18386,plain,
( ~ member(x,universal_class)
| member(x,complement(kind_1_ordinals))
| member(x,kind_1_ordinals) ),
inference(instantiation,[status(thm)],[c_8158]) ).
cnf(c_46895,plain,
( ~ subclass(X0,limit_ordinals)
| subclass(X0,complement(kind_1_ordinals)) ),
inference(superposition,[status(thm)],[c_6721,c_6362]) ).
cnf(c_48542,plain,
( ~ subclass(cross_product(universal_class,universal_class),limit_ordinals)
| ~ function(ordinal_numbers)
| member(x,complement(kind_1_ordinals)) ),
inference(superposition,[status(thm)],[c_46895,c_6841]) ).
cnf(c_49154,plain,
member(x,complement(kind_1_ordinals)),
inference(global_subsumption_just,[status(thm)],[c_48542,c_50,c_6826,c_18386]) ).
cnf(c_49159,plain,
( ~ member(x,ordinal_numbers)
| member(x,limit_ordinals) ),
inference(superposition,[status(thm)],[c_49154,c_7966]) ).
cnf(c_49160,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_49159,c_4676,c_4678]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.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 : Thu May 2 19:41:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.08/2.68 % SZS status Started for theBenchmark.p
% 14.08/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 14.08/2.68
% 14.08/2.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.08/2.68
% 14.08/2.68 ------ iProver source info
% 14.08/2.68
% 14.08/2.68 git: date: 2024-05-02 19:28:25 +0000
% 14.08/2.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.08/2.68 git: non_committed_changes: false
% 14.08/2.68
% 14.08/2.68 ------ Parsing...successful
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68 ------ 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
% 14.08/2.68
% 14.08/2.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.08/2.68
% 14.08/2.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.08/2.68 ------ Proving...
% 14.08/2.68 ------ Problem Properties
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68 clauses 140
% 14.08/2.68 conjectures 3
% 14.08/2.68 EPR 17
% 14.08/2.68 Horn 128
% 14.08/2.68 unary 51
% 14.08/2.68 binary 58
% 14.08/2.68 lits 274
% 14.08/2.68 lits eq 62
% 14.08/2.68 fd_pure 0
% 14.08/2.68 fd_pseudo 0
% 14.08/2.68 fd_cond 5
% 14.08/2.68 fd_pseudo_cond 10
% 14.08/2.68 AC symbols 0
% 14.08/2.68
% 14.08/2.68 ------ Schedule dynamic 5 is on
% 14.08/2.68
% 14.08/2.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68 ------
% 14.08/2.68 Current options:
% 14.08/2.68 ------
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68 ------ Proving...
% 14.08/2.68
% 14.08/2.68
% 14.08/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 14.08/2.68
% 14.08/2.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.08/2.68
% 14.08/2.68
%------------------------------------------------------------------------------