TSTP Solution File: SET411-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET411-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 03:00:35 EDT 2024
% Result : Unsatisfiable 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(x,y),singleton_relation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_1) ).
cnf(c_50,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_2) ).
cnf(c_63,plain,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
file('/export/starexec/sandbox/benchmark/Axioms/SET004-1.ax',compose_can_define_singleton) ).
cnf(c_72,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_85,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_89,plain,
subclass(element_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',element_relation1) ).
cnf(c_93,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_3034,plain,
ordered_pair(x,y) = sP0_iProver_def,
definition ).
cnf(c_3036,negated_conjecture,
member(sP0_iProver_def,singleton_relation),
inference(demodulation,[status(thm)],[c_49,c_3034]) ).
cnf(c_4326,plain,
( ~ member(X0,singleton_relation)
| member(X0,element_relation) ),
inference(superposition,[status(thm)],[c_63,c_93]) ).
cnf(c_4340,plain,
member(sP0_iProver_def,element_relation),
inference(superposition,[status(thm)],[c_3036,c_4326]) ).
cnf(c_4415,plain,
( ~ subclass(element_relation,X0)
| member(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_4340,c_72]) ).
cnf(c_4503,plain,
member(sP0_iProver_def,cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_89,c_4415]) ).
cnf(c_4524,plain,
( ~ member(sP0_iProver_def,cross_product(X0,X1))
| member(x,X0) ),
inference(superposition,[status(thm)],[c_3034,c_85]) ).
cnf(c_4527,plain,
( ~ member(sP0_iProver_def,cross_product(universal_class,universal_class))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[c_4524]) ).
cnf(c_4528,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4527,c_4503,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET411-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n009.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 : Thu May 2 20:12:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...successful
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ 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
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.17 ------ Proving...
% 0.48/1.17 ------ Problem Properties
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses 103
% 0.48/1.17 conjectures 2
% 0.48/1.17 EPR 14
% 0.48/1.17 Horn 95
% 0.48/1.17 unary 42
% 0.48/1.17 binary 40
% 0.48/1.17 lits 191
% 0.48/1.17 lits eq 45
% 0.48/1.17 fd_pure 0
% 0.48/1.17 fd_pseudo 0
% 0.48/1.17 fd_cond 3
% 0.48/1.17 fd_pseudo_cond 7
% 0.48/1.17 AC symbols 0
% 0.48/1.17
% 0.48/1.17 ------ Schedule dynamic 5 is on
% 0.48/1.17
% 0.48/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------
% 0.48/1.17 Current options:
% 0.48/1.17 ------
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Proving...
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------