TSTP Solution File: SET113-7 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:59:57 EDT 2024
% Result : Unsatisfiable 3.83s 1.11s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 3 nHn; 6 RR)
% Number of literals : 11 ( 5 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_111,plain,
( first(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).
cnf(c_112,plain,
( second(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_3) ).
cnf(c_117,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets1_1) ).
cnf(c_118,negated_conjecture,
first(x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).
cnf(c_7178,plain,
second(x) = x,
inference(superposition,[status(thm)],[c_112,c_117]) ).
cnf(c_7180,plain,
~ member(ordered_pair(first(x),x),cross_product(universal_class,universal_class)),
inference(demodulation,[status(thm)],[c_117,c_7178]) ).
cnf(c_7701,plain,
( first(x) = x
| member(ordered_pair(first(x),x),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_7178,c_111]) ).
cnf(c_7705,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7701,c_7180,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n005.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:36:26 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.41 Running first-order theorem proving
% 0.17/0.41 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
% 3.83/1.11 % SZS status Started for theBenchmark.p
% 3.83/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.11
% 3.83/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.83/1.11
% 3.83/1.11 ------ iProver source info
% 3.83/1.11
% 3.83/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.83/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.83/1.11 git: non_committed_changes: false
% 3.83/1.11
% 3.83/1.11 ------ Parsing...successful
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 ------ 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
% 3.83/1.11
% 3.83/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.83/1.11
% 3.83/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.83/1.11 ------ Proving...
% 3.83/1.11 ------ Problem Properties
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 clauses 151
% 3.83/1.11 conjectures 2
% 3.83/1.11 EPR 17
% 3.83/1.11 Horn 120
% 3.83/1.11 unary 47
% 3.83/1.11 binary 64
% 3.83/1.11 lits 302
% 3.83/1.11 lits eq 99
% 3.83/1.11 fd_pure 0
% 3.83/1.11 fd_pseudo 0
% 3.83/1.11 fd_cond 5
% 3.83/1.11 fd_pseudo_cond 16
% 3.83/1.11 AC symbols 0
% 3.83/1.11
% 3.83/1.11 ------ Input Options Time Limit: Unbounded
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 ------
% 3.83/1.11 Current options:
% 3.83/1.11 ------
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 ------ Proving...
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.11
% 3.83/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.11
% 3.83/1.11
%------------------------------------------------------------------------------