TSTP Solution File: SET236-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET236-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 03:00:21 EDT 2024
% Result : Unsatisfiable 3.57s 1.18s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 7 unt; 2 nHn; 12 RR)
% Number of literals : 22 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property11_1) ).
cnf(c_50,negated_conjecture,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property11_2) ).
cnf(c_51,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property11_3) ).
cnf(c_73,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_74,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_75,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_89,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_4164,plain,
( ~ member(X0,x)
| member(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_49,c_73]) ).
cnf(c_4209,plain,
( ~ member(X0,x)
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(superposition,[status(thm)],[c_4164,c_89]) ).
cnf(c_4342,plain,
( ordered_pair(first(not_subclass_element(x,X0)),second(not_subclass_element(x,X0))) = not_subclass_element(x,X0)
| subclass(x,X0) ),
inference(superposition,[status(thm)],[c_74,c_4209]) ).
cnf(c_4610,plain,
ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))) = not_subclass_element(x,y),
inference(superposition,[status(thm)],[c_4342,c_51]) ).
cnf(c_4617,plain,
member(not_subclass_element(x,y),y),
inference(demodulation,[status(thm)],[c_50,c_4610]) ).
cnf(c_6350,plain,
subclass(x,y),
inference(superposition,[status(thm)],[c_4617,c_75]) ).
cnf(c_6379,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_6350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET236-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:01:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 3.57/1.18 % SZS status Started for theBenchmark.p
% 3.57/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.18
% 3.57/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.57/1.18
% 3.57/1.18 ------ iProver source info
% 3.57/1.18
% 3.57/1.18 git: date: 2024-05-02 19:28:25 +0000
% 3.57/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.57/1.18 git: non_committed_changes: false
% 3.57/1.18
% 3.57/1.18 ------ Parsing...successful
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18 ------ 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
% 3.57/1.18
% 3.57/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.57/1.18
% 3.57/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.57/1.18 ------ Proving...
% 3.57/1.18 ------ Problem Properties
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18 clauses 103
% 3.57/1.18 conjectures 3
% 3.57/1.18 EPR 13
% 3.57/1.18 Horn 95
% 3.57/1.18 unary 42
% 3.57/1.18 binary 40
% 3.57/1.18 lits 191
% 3.57/1.18 lits eq 44
% 3.57/1.18 fd_pure 0
% 3.57/1.18 fd_pseudo 0
% 3.57/1.18 fd_cond 3
% 3.57/1.18 fd_pseudo_cond 7
% 3.57/1.18 AC symbols 0
% 3.57/1.18
% 3.57/1.18 ------ Input Options Time Limit: Unbounded
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18 ------
% 3.57/1.18 Current options:
% 3.57/1.18 ------
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18 ------ Proving...
% 3.57/1.18
% 3.57/1.18
% 3.57/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.18
% 3.57/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.18
% 3.57/1.18
%------------------------------------------------------------------------------