TSTP Solution File: SET246-6 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET246-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 03:00:22 EDT 2024
% Result : Unsatisfiable 14.06s 2.67s
% Output : CNFRefutation 14.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
restrict(xr,null_class,y) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_null_class2_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_73,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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
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_87,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_98,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_99,plain,
intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction2) ).
cnf(c_132,plain,
( ~ function(X0)
| subclass(X0,cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',function1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_3029,plain,
restrict(xr,null_class,y) = sP0_iProver_def,
definition ).
cnf(c_3030,negated_conjecture,
sP0_iProver_def != null_class,
inference(demodulation,[status(thm)],[c_49,c_3029]) ).
cnf(c_3031,plain,
X0 = X0,
theory(equality) ).
cnf(c_3033,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4187,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_91]) ).
cnf(c_4242,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4243,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4248,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4243]) ).
cnf(c_4396,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4403,plain,
( ~ member(X0,X1)
| ~ function(X1)
| member(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_132,c_71]) ).
cnf(c_4458,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4396]) ).
cnf(c_4696,plain,
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_91]) ).
cnf(c_4769,plain,
( sP0_iProver_def = null_class
| member(regular(sP0_iProver_def),sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_4795,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,xr) ),
inference(superposition,[status(thm)],[c_3029,c_4696]) ).
cnf(c_4815,plain,
( member(not_subclass_element(sP0_iProver_def,X0),xr)
| subclass(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_72,c_4795]) ).
cnf(c_4816,plain,
( null_class = sP0_iProver_def
| member(regular(sP0_iProver_def),xr) ),
inference(superposition,[status(thm)],[c_136,c_4795]) ).
cnf(c_4844,plain,
( null_class != X0
| sP0_iProver_def != X0
| sP0_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_3033]) ).
cnf(c_5218,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4458,c_4242]) ).
cnf(c_5268,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5218,c_71]) ).
cnf(c_5281,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_5268]) ).
cnf(c_5284,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5281]) ).
cnf(c_5291,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5281,c_4248,c_5284]) ).
cnf(c_5294,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_5268,c_5291]) ).
cnf(c_5308,plain,
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5291,c_94]) ).
cnf(c_5323,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5294,c_4396,c_5294,c_5308]) ).
cnf(c_5353,plain,
( ~ member(regular(sP0_iProver_def),sP0_iProver_def)
| ~ subclass(sP0_iProver_def,X0)
| member(regular(sP0_iProver_def),X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_6622,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4187,c_73]) ).
cnf(c_6854,plain,
subclass(restrict(X0,X1,X2),cross_product(X1,X2)),
inference(superposition,[status(thm)],[c_99,c_6622]) ).
cnf(c_7593,plain,
subclass(sP0_iProver_def,cross_product(null_class,y)),
inference(superposition,[status(thm)],[c_3029,c_6854]) ).
cnf(c_7604,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,cross_product(null_class,y)) ),
inference(superposition,[status(thm)],[c_7593,c_71]) ).
cnf(c_7969,plain,
( ~ member(ordered_pair(X0,X1),sP0_iProver_def)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_7604,c_84]) ).
cnf(c_7971,plain,
( ~ member(X0,sP0_iProver_def)
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(superposition,[status(thm)],[c_7604,c_87]) ).
cnf(c_7976,plain,
~ member(ordered_pair(X0,X1),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_7969,c_5323]) ).
cnf(c_8572,plain,
( ~ subclass(sP0_iProver_def,cross_product(universal_class,universal_class))
| ~ member(regular(sP0_iProver_def),sP0_iProver_def)
| member(regular(sP0_iProver_def),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[c_5353]) ).
cnf(c_9092,plain,
sP0_iProver_def = sP0_iProver_def,
inference(instantiation,[status(thm)],[c_3031]) ).
cnf(c_11289,plain,
( ~ function(xr)
| member(not_subclass_element(sP0_iProver_def,X0),cross_product(universal_class,universal_class))
| subclass(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_4815,c_4403]) ).
cnf(c_11290,plain,
( ~ function(xr)
| null_class = sP0_iProver_def
| member(regular(sP0_iProver_def),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_4816,c_4403]) ).
cnf(c_14062,plain,
( ordered_pair(first(regular(sP0_iProver_def)),second(regular(sP0_iProver_def))) = regular(sP0_iProver_def)
| null_class = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_136,c_7971]) ).
cnf(c_20711,plain,
( ~ function(xr)
| subclass(sP0_iProver_def,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_11289,c_73]) ).
cnf(c_20785,plain,
( ~ function(xr)
| member(regular(sP0_iProver_def),cross_product(universal_class,universal_class)) ),
inference(global_subsumption_just,[status(thm)],[c_11290,c_3030,c_4769,c_8572,c_20711]) ).
cnf(c_20793,plain,
( ~ function(xr)
| ordered_pair(first(regular(sP0_iProver_def)),second(regular(sP0_iProver_def))) = regular(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_20785,c_87]) ).
cnf(c_28031,plain,
( null_class != sP0_iProver_def
| sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_4844]) ).
cnf(c_50473,plain,
ordered_pair(first(regular(sP0_iProver_def)),second(regular(sP0_iProver_def))) = regular(sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_20793,c_3030,c_9092,c_14062,c_28031]) ).
cnf(c_50491,plain,
~ member(regular(sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_50473,c_7976]) ).
cnf(c_50606,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50491,c_4769,c_3030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET246-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n004.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 20:08:48 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 14.06/2.67 % SZS status Started for theBenchmark.p
% 14.06/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 14.06/2.67
% 14.06/2.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.06/2.67
% 14.06/2.67 ------ iProver source info
% 14.06/2.67
% 14.06/2.67 git: date: 2024-05-02 19:28:25 +0000
% 14.06/2.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.06/2.67 git: non_committed_changes: false
% 14.06/2.67
% 14.06/2.67 ------ Parsing...successful
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67 ------ 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
% 14.06/2.67
% 14.06/2.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.06/2.67
% 14.06/2.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.06/2.67 ------ Proving...
% 14.06/2.67 ------ Problem Properties
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67 clauses 102
% 14.06/2.67 conjectures 1
% 14.06/2.67 EPR 13
% 14.06/2.67 Horn 94
% 14.06/2.67 unary 41
% 14.06/2.67 binary 40
% 14.06/2.67 lits 190
% 14.06/2.67 lits eq 46
% 14.06/2.67 fd_pure 0
% 14.06/2.67 fd_pseudo 0
% 14.06/2.67 fd_cond 3
% 14.06/2.67 fd_pseudo_cond 7
% 14.06/2.67 AC symbols 0
% 14.06/2.67
% 14.06/2.67 ------ Schedule dynamic 5 is on
% 14.06/2.67
% 14.06/2.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67 ------
% 14.06/2.67 Current options:
% 14.06/2.67 ------
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67 ------ Proving...
% 14.06/2.67
% 14.06/2.67
% 14.06/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 14.06/2.67
% 14.06/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.06/2.67
% 14.06/2.68
%------------------------------------------------------------------------------