TSTP Solution File: SET231-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 03:00:20 EDT 2024
% Result : Unsatisfiable 0.45s 1.15s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 2 nHn; 5 RR)
% Number of literals : 10 ( 4 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 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 : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).
cnf(c_50,negated_conjecture,
ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).
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_88,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_4168,plain,
( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
| subclass(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_88]) ).
cnf(c_4197,plain,
ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) = not_subclass_element(cross_product(x,y),z),
inference(superposition,[status(thm)],[c_4168,c_49]) ).
cnf(c_4200,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_4197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 20:37:58 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 0.45/1.15 % SZS status Started for theBenchmark.p
% 0.45/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.15
% 0.45/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.15
% 0.45/1.15 ------ iProver source info
% 0.45/1.15
% 0.45/1.15 git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.15 git: non_committed_changes: false
% 0.45/1.15
% 0.45/1.15 ------ Parsing...successful
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 ------ 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
% 0.45/1.15
% 0.45/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.15
% 0.45/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.45/1.15 ------ Proving...
% 0.45/1.15 ------ Problem Properties
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 clauses 102
% 0.45/1.15 conjectures 2
% 0.45/1.15 EPR 12
% 0.45/1.15 Horn 94
% 0.45/1.15 unary 41
% 0.45/1.15 binary 40
% 0.45/1.15 lits 190
% 0.45/1.15 lits eq 45
% 0.45/1.15 fd_pure 0
% 0.45/1.15 fd_pseudo 0
% 0.45/1.15 fd_cond 3
% 0.45/1.15 fd_pseudo_cond 7
% 0.45/1.15 AC symbols 0
% 0.45/1.15
% 0.45/1.15 ------ Input Options Time Limit: Unbounded
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% 0.45/1.15
% 0.45/1.15 ------
% 0.45/1.15 Current options:
% 0.45/1.15 ------
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% 0.45/1.15
% 0.45/1.15 ------ Proving...
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.15
% 0.45/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.15
% 0.45/1.15
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