TSTP Solution File: SET122-7 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET122-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : Thu Aug 31 15:06:42 EDT 2023
% Result : Unsatisfiable 13.11s 2.71s
% Output : CNFRefutation 13.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 6 unt; 4 nHn; 8 RR)
% Number of literals : 22 ( 10 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_cartesian_product) ).
cnf(c_68,plain,
( unordered_pair(X0,X1) = singleton(X0)
| member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
cnf(c_75,plain,
( unordered_pair(X0,X1) != null_class
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_unordered_pair_axiom3) ).
cnf(c_118,plain,
( second(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets2) ).
cnf(c_120,plain,
( ordered_pair(first(X0),second(X0)) = X0
| second(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets4) ).
cnf(c_125,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components2_1) ).
cnf(c_126,negated_conjecture,
second(ordered_pair(x,y)) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components2_2) ).
cnf(c_6210,plain,
( ~ member(ordered_pair(X0,y),cross_product(X1,X2))
| member(y,universal_class) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_30895,plain,
unordered_pair(X0,y) = singleton(X0),
inference(superposition,[status(thm)],[c_68,c_125]) ).
cnf(c_32557,plain,
( second(X0) = X0
| member(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_120,c_118]) ).
cnf(c_32853,plain,
( singleton(X0) != null_class
| ~ member(ordered_pair(X0,y),cross_product(X1,X2)) ),
inference(superposition,[status(thm)],[c_30895,c_75]) ).
cnf(c_33029,plain,
~ member(ordered_pair(X0,y),cross_product(X1,X2)),
inference(global_subsumption_just,[status(thm)],[c_32853,c_125,c_6210]) ).
cnf(c_52146,plain,
second(ordered_pair(X0,y)) = ordered_pair(X0,y),
inference(superposition,[status(thm)],[c_32557,c_33029]) ).
cnf(c_54783,plain,
$false,
inference(superposition,[status(thm)],[c_52146,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET122-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 09:12:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.11/2.71 % SZS status Started for theBenchmark.p
% 13.11/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 13.11/2.71
% 13.11/2.71 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.11/2.71
% 13.11/2.71 ------ iProver source info
% 13.11/2.71
% 13.11/2.71 git: date: 2023-05-31 18:12:56 +0000
% 13.11/2.71 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.11/2.71 git: non_committed_changes: false
% 13.11/2.71 git: last_make_outside_of_git: false
% 13.11/2.71
% 13.11/2.71 ------ Parsing...successful
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71 ------ 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
% 13.11/2.71
% 13.11/2.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.11/2.71
% 13.11/2.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 13.11/2.71 ------ Proving...
% 13.11/2.71 ------ Problem Properties
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71 clauses 155
% 13.11/2.71 conjectures 2
% 13.11/2.71 EPR 18
% 13.11/2.71 Horn 122
% 13.11/2.71 unary 47
% 13.11/2.71 binary 68
% 13.11/2.71 lits 310
% 13.11/2.71 lits eq 102
% 13.11/2.71 fd_pure 0
% 13.11/2.71 fd_pseudo 0
% 13.11/2.71 fd_cond 5
% 13.11/2.71 fd_pseudo_cond 16
% 13.11/2.71 AC symbols 0
% 13.11/2.71
% 13.11/2.71 ------ Input Options Time Limit: Unbounded
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71 ------
% 13.11/2.71 Current options:
% 13.11/2.71 ------
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71 ------ Proving...
% 13.11/2.71
% 13.11/2.71
% 13.11/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 13.11/2.71
% 13.11/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.11/2.71
% 13.11/2.71
%------------------------------------------------------------------------------