TSTP Solution File: SET108-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET108-6 : 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 02:59:56 EDT 2024
% Result : Unsatisfiable 3.55s 1.13s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 7 ( 2 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
cnf(c_50,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
cnf(c_67,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_3667,plain,
ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))) = ordered_pair(y,z),
inference(superposition,[status(thm)],[c_49,c_67]) ).
cnf(c_3679,plain,
~ member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_3667,c_50]) ).
cnf(c_3683,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_3679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET108-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:25:41 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.55/1.13 % SZS status Started for theBenchmark.p
% 3.55/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.13
% 3.55/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.55/1.13
% 3.55/1.13 ------ iProver source info
% 3.55/1.13
% 3.55/1.13 git: date: 2024-05-02 19:28:25 +0000
% 3.55/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.55/1.13 git: non_committed_changes: false
% 3.55/1.13
% 3.55/1.13 ------ Parsing...successful
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.55/1.13
% 3.55/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.55/1.13
% 3.55/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.55/1.13 ------ Proving...
% 3.55/1.13 ------ Problem Properties
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13 clauses 85
% 3.55/1.13 conjectures 2
% 3.55/1.13 EPR 12
% 3.55/1.13 Horn 77
% 3.55/1.13 unary 33
% 3.55/1.13 binary 32
% 3.55/1.13 lits 163
% 3.55/1.13 lits eq 36
% 3.55/1.13 fd_pure 0
% 3.55/1.13 fd_pseudo 0
% 3.55/1.13 fd_cond 3
% 3.55/1.13 fd_pseudo_cond 3
% 3.55/1.13 AC symbols 0
% 3.55/1.13
% 3.55/1.13 ------ Input Options Time Limit: Unbounded
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13 ------
% 3.55/1.13 Current options:
% 3.55/1.13 ------
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13 ------ Proving...
% 3.55/1.13
% 3.55/1.13
% 3.55/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.13
% 3.55/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.13
% 3.55/1.13
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