TSTP Solution File: NUM159-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM159-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 11:28:45 EDT 2023
% Result : Unsatisfiable 235.56s 31.90s
% Output : CNFRefutation 235.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 14 unt; 11 nHn; 16 RR)
% Number of literals : 62 ( 6 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_kind_1_ordinal_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,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_118,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_119,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_120,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_123,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_138,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
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_222486,plain,
( ~ subclass(X0,X1)
| member(not_subclass_element(X0,X2),X1)
| subclass(X0,X2) ),
inference(resolution,[status(thm)],[c_117,c_118]) ).
cnf(c_232117,plain,
( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[c_141,c_119]) ).
cnf(c_435544,plain,
( ~ subclass(X0,universal_class)
| member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[c_232117,c_222486]) ).
cnf(c_437479,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_120,c_117]) ).
cnf(c_437559,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_437479]) ).
cnf(c_437934,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_118,c_140]) ).
cnf(c_437966,plain,
( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(superposition,[status(thm)],[c_141,c_119]) ).
cnf(c_444564,plain,
( ~ member(not_subclass_element(complement(complement(X0)),X1),universal_class)
| member(not_subclass_element(complement(complement(X0)),X1),X0)
| subclass(complement(complement(X0)),X1) ),
inference(superposition,[status(thm)],[c_141,c_437934]) ).
cnf(c_444657,plain,
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_437966,c_120,c_435544]) ).
cnf(c_444678,plain,
( member(not_subclass_element(X0,complement(intersection(X1,X2))),X2)
| subclass(X0,complement(intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_444657,c_138]) ).
cnf(c_444680,plain,
( ~ member(not_subclass_element(X0,complement(complement(X1))),X1)
| subclass(X0,complement(complement(X1))) ),
inference(superposition,[status(thm)],[c_444657,c_140]) ).
cnf(c_524833,plain,
( member(not_subclass_element(complement(complement(X0)),X1),X0)
| subclass(complement(complement(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_444564,c_437559]) ).
cnf(c_524853,plain,
subclass(complement(complement(X0)),X0),
inference(superposition,[status(thm)],[c_524833,c_119]) ).
cnf(c_528416,plain,
subclass(complement(X0),complement(intersection(X1,X0))),
inference(superposition,[status(thm)],[c_444678,c_437934]) ).
cnf(c_530063,plain,
subclass(X0,complement(complement(X0))),
inference(superposition,[status(thm)],[c_118,c_444680]) ).
cnf(c_530427,plain,
( ~ subclass(complement(complement(X0)),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[status(thm)],[c_530063,c_123]) ).
cnf(c_530439,plain,
complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_530427,c_524853]) ).
cnf(c_533265,plain,
complement(intersection(X0,complement(X1))) = union(complement(X0),X1),
inference(superposition,[status(thm)],[c_530439,c_142]) ).
cnf(c_537963,plain,
subclass(X0,complement(intersection(X1,complement(X0)))),
inference(superposition,[status(thm)],[c_530439,c_528416]) ).
cnf(c_546831,plain,
subclass(X0,union(complement(X1),X0)),
inference(demodulation,[status(thm)],[c_537963,c_533265]) ).
cnf(c_546838,plain,
subclass(X0,union(X1,X0)),
inference(superposition,[status(thm)],[c_530439,c_546831]) ).
cnf(c_546851,plain,
subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals),
inference(superposition,[status(thm)],[c_75,c_546838]) ).
cnf(c_546865,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_546851,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM159-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 11:54:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 235.56/31.90 % SZS status Started for theBenchmark.p
% 235.56/31.90 % SZS status Unsatisfiable for theBenchmark.p
% 235.56/31.90
% 235.56/31.90 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 235.56/31.90
% 235.56/31.90 ------ iProver source info
% 235.56/31.90
% 235.56/31.90 git: date: 2023-05-31 18:12:56 +0000
% 235.56/31.90 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 235.56/31.90 git: non_committed_changes: false
% 235.56/31.90 git: last_make_outside_of_git: false
% 235.56/31.90
% 235.56/31.90 ------ Parsing...successful
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------ 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
% 235.56/31.90
% 235.56/31.90 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 235.56/31.90
% 235.56/31.90 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 235.56/31.90 ------ Proving...
% 235.56/31.90 ------ Problem Properties
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 clauses 138
% 235.56/31.90 conjectures 1
% 235.56/31.90 EPR 14
% 235.56/31.90 Horn 126
% 235.56/31.90 unary 49
% 235.56/31.90 binary 58
% 235.56/31.90 lits 272
% 235.56/31.90 lits eq 62
% 235.56/31.90 fd_pure 0
% 235.56/31.90 fd_pseudo 0
% 235.56/31.90 fd_cond 5
% 235.56/31.90 fd_pseudo_cond 10
% 235.56/31.90 AC symbols 0
% 235.56/31.90
% 235.56/31.90 ------ Schedule dynamic 5 is on
% 235.56/31.90
% 235.56/31.90 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------
% 235.56/31.90 Current options:
% 235.56/31.90 ------
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------ Proving...
% 235.56/31.90 Proof_search_loop: time out after: 8334 full_loop iterations
% 235.56/31.90
% 235.56/31.90 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------
% 235.56/31.90 Current options:
% 235.56/31.90 ------
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------ Proving...
% 235.56/31.90 Proof_search_loop: time out after: 7288 full_loop iterations
% 235.56/31.90
% 235.56/31.90 ------ Option_1: Negative Selections Time Limit: 35.
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------
% 235.56/31.90 Current options:
% 235.56/31.90 ------
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 ------ Proving...
% 235.56/31.90
% 235.56/31.90
% 235.56/31.90 % SZS status Unsatisfiable for theBenchmark.p
% 235.56/31.90
% 235.56/31.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 235.56/31.90
% 235.56/31.90
%------------------------------------------------------------------------------