TSTP Solution File: SET017-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET017-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 : 600s
% DateTime : Tue Jul 19 05:05:51 EDT 2022
% Result : Unsatisfiable 3.52s 3.72s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 17 unt; 1 nHn; 17 RR)
% Number of literals : 29 ( 7 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(singleton_in_unordered_pair1,axiom,
subclass(singleton(X),unordered_pair(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_in_unordered_pair1) ).
cnf(prove_left_cancellation_1,negated_conjecture,
unordered_pair(x,y) = unordered_pair(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_1) ).
cnf(prove_left_cancellation_2,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_2) ).
cnf(prove_left_cancellation_3,negated_conjecture,
y != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_3) ).
cnf(216,plain,
member(y,universal_class),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product1,prove_left_cancellation_2]) ).
cnf(218,plain,
member(z,universal_class),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product2,prove_left_cancellation_2]) ).
cnf(242,plain,
~ member(y,singleton(z)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_left_cancellation_3,prove_left_cancellation_3]),singleton_set,theory(equality)]) ).
cnf(538,plain,
member(y,unordered_pair(y,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,216]) ).
cnf(572,plain,
member(z,unordered_pair(z,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,218]) ).
cnf(2751,plain,
member(y,singleton(y)),
inference('PARAMODULATE',[status(thm)],[538,singleton_set,theory(equality)]) ).
cnf(3052,plain,
member(z,unordered_pair(x,y)),
inference('PARAMODULATE',[status(thm)],[572,prove_left_cancellation_1,theory(equality)]) ).
cnf(4251,plain,
~ subclass(singleton(y),singleton(z)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,2751,242]) ).
cnf(12013,plain,
z = x,
inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,3052,prove_left_cancellation_3]) ).
cnf(12014,plain,
unordered_pair(x,y) = singleton(x),
inference('REWRITE',[status(thm)],[prove_left_cancellation_1,singleton_set,12013,theory(equality)]) ).
cnf(12957,plain,
~ subclass(singleton(y),singleton(x)),
inference('REWRITE',[status(thm)],[4251,12013,theory(equality)]) ).
cnf(14655,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[singleton_in_unordered_pair1,12014,theory(equality)]),12957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET017-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 11 10:14:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:14:24
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T10:14:24
% 0.19/0.51
% 0.19/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 3.52/3.72 ; Declaring unordered_pair to be commutative.
% 3.52/3.72
% 3.52/3.72 #||
% 3.52/3.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.52/3.72 % SZS output start Refutation
% See solution above
% 3.52/3.72 ||#
% 3.52/3.72
% 3.52/3.72 ; Summary of computation:
% 3.52/3.72 ; 28222 formulas have been input or derived (from 305 formulas).
% 3.52/3.72 ; 14655 (52%) were retained. Of these,
% 3.52/3.72 ; 2707 (18%) were simplified or subsumed later,
% 3.52/3.72 ; 11948 (82%) are still being kept.
% 3.52/3.72 ;
% 3.52/3.72 ; Run time in seconds excluding printing time:
% 3.52/3.72 ; 0.020 1% Read assertion file (1 call)
% 3.52/3.72 ; 0.004 0% Assert (116 calls)
% 3.52/3.72 ; 0.905 28% Process new row (27,285 calls)
% 3.52/3.72 ; 1.183 37% Resolution (608 calls)
% 3.52/3.72 ; 0.012 0% Paramodulation (304 calls)
% 3.52/3.72 ; 0.000 0% Factoring (8 calls)
% 3.52/3.72 ; 0.027 1% Condensing (2,451 calls)
% 3.52/3.72 ; 0.168 5% Forward subsumption (2,451 calls)
% 3.52/3.72 ; 0.144 4% Backward subsumption (1,894 calls)
% 3.52/3.72 ; 0.013 0% Clause clause subsumption (3,924 calls)
% 3.52/3.72 ; 0.364 11% Forward simplification (26,769 calls)
% 3.52/3.72 ; 0.275 8% Backward simplification (14,643 calls)
% 3.52/3.72 ; 0.017 1% Ordering (6,902 calls)
% 3.52/3.72 ; 0.001 0% Sortal reasoning (32 calls)
% 3.52/3.72 ; 0.000 0% Purity testing (1 call)
% 3.52/3.72 ; 0.106 3% Other
% 3.52/3.72 ; 3.239 Total
% 3.52/3.72 ; 3.242 Real time
% 3.52/3.72 ;
% 3.52/3.72 ; Term-hash-array has 19,735 terms in all.
% 3.52/3.72 ; Feature-vector-row-index has 1,670 entries (1,677 at peak, 1,894 added, 224 deleted).
% 3.52/3.72 ; Feature-vector-row-index has 7,193 nodes (7,852 at peak, 8,371 added, 1,178 deleted).
% 3.52/3.72 ; Retrieved 5,824 possibly forward subsuming rows in 2,451 calls.
% 3.52/3.72 ; Retrieved 1,370 possibly backward subsumed rows in 1,894 calls.
% 3.52/3.72 ; Path-index has 16,373 entries (16,395 at peak, 19,847 added, 3,474 deleted).
% 3.52/3.72 ; Path-index has 5,168 nodes (5,177 at peak, 5,407 added, 239 deleted).
% 3.52/3.72 ; Trie-index has 16,373 entries (16,395 at peak, 19,847 added, 3,474 deleted).
% 3.52/3.72 ; Trie-index has 46,444 nodes (46,497 at peak, 55,856 added, 9,412 deleted).
% 3.52/3.72 ; Retrieved 16,562 generalization terms in 77,187 calls.
% 3.52/3.72 ; Retrieved 12,773 instance terms in 12,748 calls.
% 3.52/3.72 ; Retrieved 1,753,657 unifiable terms in 16,010 calls.
% 3.52/3.72 ;
% 3.52/3.72 ; The agenda of rows to process has 17 entries:
% 3.52/3.72 ; 9 with value 9 7 with value 10 1 with value 15
% 3.52/3.72 ; The agenda of input rows to give has 1 entry:
% 3.52/3.72 ; 1 with value 9
% 3.52/3.72 ; The agenda of rows to give has 11671 entries:
% 3.52/3.72 ; 1 with value (4 5) 772 with value (4 20) 2 with value (4 34)
% 3.52/3.72 ; 2 with value (4 7) 229 with value (4 21) 6 with value (4 35)
% 3.52/3.72 ; 6 with value (4 8) 221 with value (4 22) 3 with value (4 37)
% 3.52/3.72 ; 5 with value (4 9) 77 with value (4 23) 1 with value (4 38)
% 3.52/3.72 ; 37 with value (4 10) 131 with value (4 24) 1 with value (4 42)
% 3.52/3.72 ; 171 with value (4 11) 49 with value (4 25) 1 with value (4 43)
% 3.52/3.72 ; 173 with value (4 12) 83 with value (4 26) 1 with value (4 44)
% 3.52/3.72 ; 315 with value (4 13) 129 with value (4 27) 1 with value (4 45)
% 3.52/3.72 ; 432 with value (4 14) 71 with value (4 28) 3 with value (4 46)
% 3.52/3.72 ; 723 with value (4 15) 97 with value (4 29) 1 with value (4 49)
% 3.52/3.72 ; 1500 with value (4 16) 13 with value (4 30) 1 with value (4 51)
% 3.52/3.72 ; 2105 with value (4 17) 3 with value (4 31) 1 with value (4 53)
% 3.52/3.72 ; 2660 with value (4 18) 7 with value (4 32) 1 with value (4 59)
% 3.52/3.72 ; 1633 with value (4 19) 2 with value (4 33) 1 with value (4 63)
% 3.52/3.72 Evaluation took:
% 3.52/3.72 3.244 seconds of real time
% 3.52/3.72 3.047938 seconds of user run time
% 3.52/3.72 0.195739 seconds of system run time
% 3.52/3.72 [Run times include 0.46 seconds GC run time.]
% 3.52/3.72 0 calls to %EVAL
% 3.52/3.72 0 page faults and
% 3.52/3.72 197,845,536 bytes consed.
% 3.52/3.72 :PROOF-FOUND
% 3.52/3.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:14:27
% 3.52/3.72 :PROOF-FOUND
% 3.52/3.72 *
%------------------------------------------------------------------------------