TSTP Solution File: SET497-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 15:08:06 EDT 2023
% Result : Unsatisfiable 32.30s 5.28s
% Output : CNFRefutation 32.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 37 ( 13 unt; 10 nHn; 22 RR)
% Number of literals : 68 ( 23 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 55 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
member(z,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_russell_class1_2) ).
cnf(c_72,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_73,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,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_75,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_78,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_79,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_80,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_83,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_94,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_99,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_101,plain,
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
cnf(c_137,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_138,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_4171,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_83,c_80]) ).
cnf(c_4192,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_92]) ).
cnf(c_4380,plain,
( ~ subclass(z,X0)
| member(z,X0) ),
inference(superposition,[status(thm)],[c_50,c_72]) ).
cnf(c_4462,plain,
member(z,universal_class),
inference(superposition,[status(thm)],[c_75,c_4380]) ).
cnf(c_5850,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_83,c_79]) ).
cnf(c_6169,plain,
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_137,c_5850]) ).
cnf(c_8239,plain,
( intersection(singleton(X0),X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_6169,c_138]) ).
cnf(c_8240,plain,
( singleton(X0) = null_class
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_6169,c_137]) ).
cnf(c_8634,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4192,c_74]) ).
cnf(c_8909,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_99,c_8634]) ).
cnf(c_8911,plain,
( X0 = null_class
| subclass(null_class,X0) ),
inference(superposition,[status(thm)],[c_138,c_8634]) ).
cnf(c_8965,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_8911,c_78]) ).
cnf(c_9076,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_8909,c_8965]) ).
cnf(c_9317,plain,
~ member(X0,domain_of(null_class)),
inference(superposition,[status(thm)],[c_9076,c_101]) ).
cnf(c_9376,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm)],[c_137,c_9317]) ).
cnf(c_9392,plain,
~ member(X0,null_class),
inference(demodulation,[status(thm)],[c_9317,c_9376]) ).
cnf(c_20289,plain,
( ~ member(X0,singleton(X1))
| ~ member(X0,X1)
| singleton(X1) = null_class
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_8239,c_94]) ).
cnf(c_20316,plain,
( ~ member(X0,singleton(X1))
| ~ member(X0,X1)
| singleton(X1) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_20289,c_9392]) ).
cnf(c_143362,plain,
( ~ member(X0,X0)
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_8240,c_20316]) ).
cnf(c_144448,plain,
singleton(z) = null_class,
inference(superposition,[status(thm)],[c_50,c_143362]) ).
cnf(c_145199,plain,
( ~ member(z,universal_class)
| member(z,null_class) ),
inference(superposition,[status(thm)],[c_144448,c_4171]) ).
cnf(c_145246,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_145199,c_9392,c_4462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 08:47:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.30/5.28 % SZS status Started for theBenchmark.p
% 32.30/5.28 % SZS status Unsatisfiable for theBenchmark.p
% 32.30/5.28
% 32.30/5.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.30/5.28
% 32.30/5.28 ------ iProver source info
% 32.30/5.28
% 32.30/5.28 git: date: 2023-05-31 18:12:56 +0000
% 32.30/5.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.30/5.28 git: non_committed_changes: false
% 32.30/5.28 git: last_make_outside_of_git: false
% 32.30/5.28
% 32.30/5.28 ------ Parsing...successful
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28 ------ 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
% 32.30/5.28
% 32.30/5.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.30/5.28
% 32.30/5.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.30/5.28 ------ Proving...
% 32.30/5.28 ------ Problem Properties
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28 clauses 102
% 32.30/5.28 conjectures 2
% 32.30/5.28 EPR 13
% 32.30/5.28 Horn 94
% 32.30/5.28 unary 41
% 32.30/5.28 binary 40
% 32.30/5.28 lits 190
% 32.30/5.28 lits eq 44
% 32.30/5.28 fd_pure 0
% 32.30/5.28 fd_pseudo 0
% 32.30/5.28 fd_cond 3
% 32.30/5.28 fd_pseudo_cond 7
% 32.30/5.28 AC symbols 0
% 32.30/5.28
% 32.30/5.28 ------ Schedule dynamic 5 is on
% 32.30/5.28
% 32.30/5.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28 ------
% 32.30/5.28 Current options:
% 32.30/5.28 ------
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28 ------ Proving...
% 32.30/5.28
% 32.30/5.28
% 32.30/5.28 % SZS status Unsatisfiable for theBenchmark.p
% 32.30/5.28
% 32.30/5.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.30/5.28
% 32.30/5.28
%------------------------------------------------------------------------------