TSTP Solution File: SET454-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET454-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 15:07:59 EDT 2023
% Result : Unsatisfiable 0.51s 1.23s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 10 unt; 3 nHn; 14 RR)
% Number of literals : 31 ( 4 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_alternate_defn1_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_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
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_144,plain,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subset_relation) ).
cnf(c_145,plain,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',identity_relation) ).
cnf(c_1318,plain,
restrict(restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class),universal_class,universal_class) = subset_relation,
inference(demodulation,[status(thm)],[c_144,c_99]) ).
cnf(c_4176,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_4202,plain,
( ~ member(X0,identity_relation)
| member(X0,subset_relation) ),
inference(superposition,[status(thm)],[c_145,c_92]) ).
cnf(c_4214,plain,
( member(not_subclass_element(identity_relation,X0),subset_relation)
| subclass(identity_relation,X0) ),
inference(superposition,[status(thm)],[c_72,c_4202]) ).
cnf(c_6169,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4176,c_73]) ).
cnf(c_6354,plain,
subclass(restrict(X0,X1,X2),cross_product(X1,X2)),
inference(superposition,[status(thm)],[c_99,c_6169]) ).
cnf(c_6500,plain,
subclass(subset_relation,cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_1318,c_6354]) ).
cnf(c_6616,plain,
( ~ member(X0,subset_relation)
| member(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_6500,c_71]) ).
cnf(c_6996,plain,
( ~ member(not_subclass_element(X0,cross_product(universal_class,universal_class)),subset_relation)
| subclass(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_6616,c_73]) ).
cnf(c_16093,plain,
subclass(identity_relation,cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_4214,c_6996]) ).
cnf(c_16096,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16093,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET454-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 13:33:55 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.51/1.23 % SZS status Started for theBenchmark.p
% 0.51/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.23
% 0.51/1.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.23
% 0.51/1.23 ------ iProver source info
% 0.51/1.23
% 0.51/1.23 git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.23 git: non_committed_changes: false
% 0.51/1.23 git: last_make_outside_of_git: false
% 0.51/1.23
% 0.51/1.23 ------ Parsing...successful
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23 ------ 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
% 0.51/1.23
% 0.51/1.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.51/1.23
% 0.51/1.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.51/1.23 ------ Proving...
% 0.51/1.23 ------ Problem Properties
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23 clauses 101
% 0.51/1.23 conjectures 1
% 0.51/1.23 EPR 12
% 0.51/1.23 Horn 93
% 0.51/1.23 unary 40
% 0.51/1.23 binary 40
% 0.51/1.23 lits 189
% 0.51/1.23 lits eq 44
% 0.51/1.23 fd_pure 0
% 0.51/1.23 fd_pseudo 0
% 0.51/1.23 fd_cond 3
% 0.51/1.23 fd_pseudo_cond 7
% 0.51/1.23 AC symbols 0
% 0.51/1.23
% 0.51/1.23 ------ Schedule dynamic 5 is on
% 0.51/1.23
% 0.51/1.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23 ------
% 0.51/1.23 Current options:
% 0.51/1.23 ------
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23 ------ Proving...
% 0.51/1.23
% 0.51/1.23
% 0.51/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.23
% 0.51/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.23
% 0.51/1.23
%------------------------------------------------------------------------------