TSTP Solution File: SET510-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 03:00:43 EDT 2024
% Result : Unsatisfiable 4.13s 1.16s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
singleton(universal_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_singleton_is_null_class_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_78,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_82,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_137,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_3029,plain,
singleton(universal_class) = sP0_iProver_def,
definition ).
cnf(c_3030,negated_conjecture,
sP0_iProver_def != null_class,
inference(demodulation,[status(thm)],[c_49,c_3029]) ).
cnf(c_4246,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4247,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4252,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4247]) ).
cnf(c_4415,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4477,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4415]) ).
cnf(c_4484,plain,
( X0 = null_class
| member(regular(X0),universal_class) ),
inference(superposition,[status(thm)],[c_136,c_4415]) ).
cnf(c_5025,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4477,c_4246]) ).
cnf(c_5066,plain,
( ~ subclass(X0,complement(universal_class))
| complement(universal_class) = X0 ),
inference(superposition,[status(thm)],[c_5025,c_77]) ).
cnf(c_5067,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5025,c_71]) ).
cnf(c_5226,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_5067]) ).
cnf(c_5229,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5226]) ).
cnf(c_5251,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5226,c_4252,c_5229]) ).
cnf(c_5253,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(demodulation,[status(thm)],[c_5066,c_5251]) ).
cnf(c_5254,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_5067,c_5251]) ).
cnf(c_5268,plain,
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5251,c_94]) ).
cnf(c_5283,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5254,c_4415,c_5254,c_5268]) ).
cnf(c_5770,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_82,c_78]) ).
cnf(c_5869,plain,
( ~ member(X0,sP0_iProver_def)
| X0 = universal_class ),
inference(superposition,[status(thm)],[c_3029,c_5770]) ).
cnf(c_5897,plain,
( not_subclass_element(sP0_iProver_def,X0) = universal_class
| subclass(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_72,c_5869]) ).
cnf(c_5898,plain,
( regular(sP0_iProver_def) = universal_class
| null_class = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_136,c_5869]) ).
cnf(c_5914,plain,
( not_subclass_element(sP0_iProver_def,null_class) = universal_class
| null_class = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_5897,c_5253]) ).
cnf(c_5932,plain,
( intersection(sP0_iProver_def,universal_class) = null_class
| null_class = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_5898,c_137]) ).
cnf(c_5933,plain,
( null_class = sP0_iProver_def
| member(universal_class,universal_class) ),
inference(superposition,[status(thm)],[c_5898,c_4484]) ).
cnf(c_5934,plain,
( null_class = sP0_iProver_def
| member(universal_class,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5898,c_136]) ).
cnf(c_5968,plain,
( null_class = sP0_iProver_def
| subclass(sP0_iProver_def,null_class)
| member(universal_class,universal_class) ),
inference(superposition,[status(thm)],[c_5914,c_4477]) ).
cnf(c_5982,plain,
( ~ member(X0,universal_class)
| ~ member(X0,sP0_iProver_def)
| null_class = sP0_iProver_def
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5932,c_93]) ).
cnf(c_5985,plain,
( ~ member(X0,universal_class)
| ~ member(X0,sP0_iProver_def)
| null_class = sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_5982,c_5283]) ).
cnf(c_5991,plain,
( ~ member(universal_class,universal_class)
| ~ member(universal_class,sP0_iProver_def)
| null_class = sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_5985]) ).
cnf(c_6013,plain,
null_class = sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_5968,c_5934,c_5933,c_5991]) ).
cnf(c_6040,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_3030,c_6013]) ).
cnf(c_6041,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_6040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 20:24:05 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.13/1.16 % SZS status Started for theBenchmark.p
% 4.13/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.13/1.16
% 4.13/1.16 ------ iProver source info
% 4.13/1.16
% 4.13/1.16 git: date: 2024-05-02 19:28:25 +0000
% 4.13/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.13/1.16 git: non_committed_changes: false
% 4.13/1.16
% 4.13/1.16 ------ Parsing...successful
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 ------ 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
% 4.13/1.16
% 4.13/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.13/1.16
% 4.13/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.13/1.16 ------ Proving...
% 4.13/1.16 ------ Problem Properties
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 clauses 102
% 4.13/1.16 conjectures 1
% 4.13/1.16 EPR 13
% 4.13/1.16 Horn 94
% 4.13/1.16 unary 41
% 4.13/1.16 binary 40
% 4.13/1.16 lits 190
% 4.13/1.16 lits eq 46
% 4.13/1.16 fd_pure 0
% 4.13/1.16 fd_pseudo 0
% 4.13/1.16 fd_cond 3
% 4.13/1.16 fd_pseudo_cond 7
% 4.13/1.16 AC symbols 0
% 4.13/1.16
% 4.13/1.16 ------ Schedule dynamic 5 is on
% 4.13/1.16
% 4.13/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 ------
% 4.13/1.16 Current options:
% 4.13/1.16 ------
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 ------ Proving...
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.16
% 4.13/1.17
%------------------------------------------------------------------------------