TSTP Solution File: SET511-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET511-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Mon Jun 24 14:34:44 EDT 2024
% Result : Unsatisfiable 8.16s 1.67s
% Output : CNFRefutation 8.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_property_1_of_ordered_pair_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_78,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_82,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_83,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(c_84,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_86,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_90,plain,
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',element_relation3) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_137,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_3029,plain,
singleton(x) = sP0_iProver_def,
definition ).
cnf(c_3030,plain,
unordered_pair(x,null_class) = sP1_iProver_def,
definition ).
cnf(c_3031,plain,
unordered_pair(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_3032,plain,
ordered_pair(x,universal_class) = sP3_iProver_def,
definition ).
cnf(c_3033,negated_conjecture,
sP2_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_3032,c_3030,c_3029,c_3031]) ).
cnf(c_4321,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4322,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4327,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4322]) ).
cnf(c_4476,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4538,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4476]) ).
cnf(c_4545,plain,
( X0 = null_class
| member(regular(X0),universal_class) ),
inference(superposition,[status(thm)],[c_136,c_4476]) ).
cnf(c_4614,plain,
( ~ member(sP3_iProver_def,cross_product(X0,X1))
| member(x,X0) ),
inference(superposition,[status(thm)],[c_3032,c_84]) ).
cnf(c_4617,plain,
( ~ member(sP3_iProver_def,cross_product(universal_class,universal_class))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[c_4614]) ).
cnf(c_5042,plain,
unordered_pair(sP0_iProver_def,unordered_pair(x,singleton(X0))) = ordered_pair(x,X0),
inference(superposition,[status(thm)],[c_3029,c_83]) ).
cnf(c_5261,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4538,c_4321]) ).
cnf(c_5303,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5261,c_71]) ).
cnf(c_5316,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_5303]) ).
cnf(c_5319,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5316]) ).
cnf(c_5542,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5316,c_4327,c_5319]) ).
cnf(c_5545,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_5303,c_5542]) ).
cnf(c_5559,plain,
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5542,c_94]) ).
cnf(c_5568,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5545,c_4476,c_5545,c_5559]) ).
cnf(c_5876,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_82,c_78]) ).
cnf(c_5975,plain,
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_5876]) ).
cnf(c_6203,plain,
( ~ member(x,X0)
| ~ member(universal_class,X1)
| member(sP3_iProver_def,cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_3032,c_86]) ).
cnf(c_6812,plain,
( ~ member(sP3_iProver_def,cross_product(universal_class,universal_class))
| ~ member(x,universal_class)
| member(ordered_pair(x,universal_class),element_relation) ),
inference(superposition,[status(thm)],[c_3032,c_90]) ).
cnf(c_6813,plain,
( ~ member(sP3_iProver_def,cross_product(universal_class,universal_class))
| ~ member(x,universal_class)
| member(sP3_iProver_def,element_relation) ),
inference(light_normalisation,[status(thm)],[c_6812,c_3032]) ).
cnf(c_7345,plain,
( intersection(singleton(X0),X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_5975,c_137]) ).
cnf(c_7346,plain,
( singleton(X0) = null_class
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5975,c_4545]) ).
cnf(c_7347,plain,
( singleton(X0) = null_class
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_5975,c_136]) ).
cnf(c_7360,plain,
( singleton(universal_class) = null_class
| member(universal_class,universal_class) ),
inference(instantiation,[status(thm)],[c_7346]) ).
cnf(c_7361,plain,
( singleton(universal_class) = null_class
| member(universal_class,singleton(universal_class)) ),
inference(instantiation,[status(thm)],[c_7347]) ).
cnf(c_14464,plain,
( ~ member(X0,singleton(X1))
| ~ member(X0,X1)
| singleton(X1) = null_class
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_7345,c_93]) ).
cnf(c_14493,plain,
( ~ member(X0,singleton(X1))
| ~ member(X0,X1)
| singleton(X1) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_14464,c_5568]) ).
cnf(c_14505,plain,
( ~ member(universal_class,singleton(universal_class))
| ~ member(universal_class,universal_class)
| singleton(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_14493]) ).
cnf(c_19825,plain,
( ~ member(sP3_iProver_def,cross_product(universal_class,universal_class))
| member(sP3_iProver_def,element_relation) ),
inference(global_subsumption_just,[status(thm)],[c_6813,c_4617,c_6813]) ).
cnf(c_19837,plain,
( ~ member(x,universal_class)
| ~ member(universal_class,universal_class)
| member(sP3_iProver_def,element_relation) ),
inference(superposition,[status(thm)],[c_6203,c_19825]) ).
cnf(c_19868,plain,
( ~ member(x,universal_class)
| singleton(universal_class) = null_class
| member(sP3_iProver_def,element_relation) ),
inference(superposition,[status(thm)],[c_7346,c_19837]) ).
cnf(c_20106,plain,
singleton(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_19868,c_7360,c_7361,c_14505]) ).
cnf(c_20143,plain,
unordered_pair(sP0_iProver_def,unordered_pair(x,null_class)) = ordered_pair(x,universal_class),
inference(superposition,[status(thm)],[c_20106,c_5042]) ).
cnf(c_20174,plain,
sP2_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_20143,c_3030,c_3031,c_3032]) ).
cnf(c_20175,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20174,c_3033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET511-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jun 23 15:54:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 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
% 8.16/1.67 % SZS status Started for theBenchmark.p
% 8.16/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.16/1.67
% 8.16/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.16/1.67
% 8.16/1.67 ------ iProver source info
% 8.16/1.67
% 8.16/1.67 git: date: 2024-06-12 09:56:46 +0000
% 8.16/1.67 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.16/1.67 git: non_committed_changes: false
% 8.16/1.67
% 8.16/1.67 ------ Parsing...successful
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67 ------ 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
% 8.16/1.67
% 8.16/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.16/1.67
% 8.16/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.16/1.67 ------ Proving...
% 8.16/1.67 ------ Problem Properties
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67 clauses 105
% 8.16/1.67 conjectures 1
% 8.16/1.67 EPR 13
% 8.16/1.67 Horn 97
% 8.16/1.67 unary 44
% 8.16/1.67 binary 40
% 8.16/1.67 lits 193
% 8.16/1.67 lits eq 49
% 8.16/1.67 fd_pure 0
% 8.16/1.67 fd_pseudo 0
% 8.16/1.67 fd_cond 3
% 8.16/1.67 fd_pseudo_cond 7
% 8.16/1.67 AC symbols 0
% 8.16/1.67
% 8.16/1.67 ------ Schedule dynamic 5 is on
% 8.16/1.67
% 8.16/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67 ------
% 8.16/1.67 Current options:
% 8.16/1.67 ------
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67 ------ Proving...
% 8.16/1.67
% 8.16/1.67
% 8.16/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.16/1.67
% 8.16/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.16/1.67
% 8.16/1.68
%------------------------------------------------------------------------------