TSTP Solution File: SET121-7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET121-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 03:00:00 EDT 2024
% Result : Unsatisfiable 17.50s 3.17s
% Output : CNFRefutation 17.50s
% 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',corollary_to_unordered_pair_axiom3) ).
cnf(c_117,plain,
( first(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets1) ).
cnf(c_119,plain,
( ordered_pair(first(X0),second(X0)) = X0
| first(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets3) ).
cnf(c_125,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_OP_determines_components2_1) ).
cnf(c_126,negated_conjecture,
first(ordered_pair(x,y)) != ordered_pair(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_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_30484,plain,
unordered_pair(X0,y) = singleton(X0),
inference(superposition,[status(thm)],[c_68,c_125]) ).
cnf(c_32134,plain,
( first(X0) = X0
| member(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_119,c_117]) ).
cnf(c_32442,plain,
( singleton(X0) != null_class
| ~ member(ordered_pair(X0,y),cross_product(X1,X2)) ),
inference(superposition,[status(thm)],[c_30484,c_75]) ).
cnf(c_32618,plain,
~ member(ordered_pair(X0,y),cross_product(X1,X2)),
inference(global_subsumption_just,[status(thm)],[c_32442,c_125,c_6210]) ).
cnf(c_50794,plain,
first(ordered_pair(X0,y)) = ordered_pair(X0,y),
inference(superposition,[status(thm)],[c_32134,c_32618]) ).
cnf(c_52175,plain,
$false,
inference(superposition,[status(thm)],[c_50794,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET121-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:12:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 17.50/3.17 % SZS status Started for theBenchmark.p
% 17.50/3.17 % SZS status Unsatisfiable for theBenchmark.p
% 17.50/3.17
% 17.50/3.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.50/3.17
% 17.50/3.17 ------ iProver source info
% 17.50/3.17
% 17.50/3.17 git: date: 2024-05-02 19:28:25 +0000
% 17.50/3.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.50/3.17 git: non_committed_changes: false
% 17.50/3.17
% 17.50/3.17 ------ Parsing...successful
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17 ------ 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
% 17.50/3.17
% 17.50/3.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.50/3.17
% 17.50/3.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.50/3.17 ------ Proving...
% 17.50/3.17 ------ Problem Properties
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17 clauses 155
% 17.50/3.17 conjectures 2
% 17.50/3.17 EPR 18
% 17.50/3.17 Horn 122
% 17.50/3.17 unary 47
% 17.50/3.17 binary 68
% 17.50/3.17 lits 310
% 17.50/3.17 lits eq 102
% 17.50/3.17 fd_pure 0
% 17.50/3.17 fd_pseudo 0
% 17.50/3.17 fd_cond 5
% 17.50/3.17 fd_pseudo_cond 16
% 17.50/3.17 AC symbols 0
% 17.50/3.17
% 17.50/3.17 ------ Input Options Time Limit: Unbounded
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17 ------
% 17.50/3.17 Current options:
% 17.50/3.17 ------
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17 ------ Proving...
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17 % SZS status Unsatisfiable for theBenchmark.p
% 17.50/3.17
% 17.50/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.50/3.17
% 17.50/3.17
%------------------------------------------------------------------------------