TSTP Solution File: SET017-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET017-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 1.11s 1.28s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 15 unt; 1 nHn; 17 RR)
% Number of literals : 29 ( 8 equ; 11 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 : 23 ( 9 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(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
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_pair3,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
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(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(155,plain,
member(y,universal_class),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product1,prove_left_cancellation_2]) ).
cnf(156,plain,
member(z,universal_class),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product2,prove_left_cancellation_2]) ).
cnf(172,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(265,plain,
member(y,unordered_pair(X,y)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair3,155]) ).
cnf(287,plain,
member(z,unordered_pair(X,z)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair3,156]) ).
cnf(965,plain,
~ subclass(unordered_pair(X,y),singleton(z)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,265,172]) ).
cnf(1195,plain,
member(z,unordered_pair(x,y)),
inference('PARAMODULATE',[status(thm)],[287,prove_left_cancellation_1,theory(equality)]) ).
cnf(4089,plain,
z = x,
inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,1195,prove_left_cancellation_3]) ).
cnf(4090,plain,
unordered_pair(x,y) = singleton(x),
inference('REWRITE',[status(thm)],[prove_left_cancellation_1,singleton_set,4089,theory(equality)]) ).
cnf(4316,plain,
~ subclass(unordered_pair(X,y),singleton(x)),
inference('REWRITE',[status(thm)],[965,4089,theory(equality)]) ).
cnf(5367,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[equal_implies_subclass1,4090]),4316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET017-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 07:57:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:57:53
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T07:57:53
% 1.11/1.28
% 1.11/1.28
% 1.11/1.28 #||
% 1.11/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.28 % SZS output start Refutation
% See solution above
% 1.11/1.28 ||#
% 1.11/1.28
% 1.11/1.28 ; Summary of computation:
% 1.11/1.28 ; 9774 formulas have been input or derived (from 187 formulas).
% 1.11/1.28 ; 5367 (55%) were retained. Of these,
% 1.11/1.28 ; 1293 (24%) were simplified or subsumed later,
% 1.11/1.28 ; 4074 (76%) are still being kept.
% 1.11/1.28 ;
% 1.11/1.28 ; Run time in seconds excluding printing time:
% 1.11/1.28 ; 0.017 2% Read assertion file (1 call)
% 1.11/1.28 ; 0.002 0% Assert (94 calls)
% 1.11/1.28 ; 0.257 32% Process new row (9,442 calls)
% 1.11/1.28 ; 0.242 30% Resolution (372 calls)
% 1.11/1.28 ; 0.004 0% Paramodulation (186 calls)
% 1.11/1.28 ; 0.000 0% Factoring (3 calls)
% 1.11/1.28 ; 0.005 1% Condensing (450 calls)
% 1.11/1.28 ; 0.015 2% Forward subsumption (450 calls)
% 1.11/1.28 ; 0.021 3% Backward subsumption (436 calls)
% 1.11/1.28 ; 0.001 0% Clause clause subsumption (302 calls)
% 1.11/1.28 ; 0.098 12% Forward simplification (9,182 calls)
% 1.11/1.28 ; 0.084 10% Backward simplification (5,355 calls)
% 1.11/1.28 ; 0.003 0% Ordering (851 calls)
% 1.11/1.28 ; 0.001 0% Sortal reasoning (32 calls)
% 1.11/1.28 ; 0.000 0% Purity testing (1 call)
% 1.11/1.28 ; 0.056 7% Other
% 1.11/1.28 ; 0.806 Total
% 1.11/1.28 ; 0.807 Real time
% 1.11/1.28 ;
% 1.11/1.28 ; Term-hash-array has 8,411 terms in all.
% 1.11/1.28 ; Feature-vector-row-index has 390 entries (391 at peak, 436 added, 46 deleted).
% 1.11/1.28 ; Feature-vector-row-index has 2,087 nodes (2,271 at peak, 2,332 added, 245 deleted).
% 1.11/1.28 ; Retrieved 310 possibly forward subsuming rows in 450 calls.
% 1.11/1.28 ; Retrieved 179 possibly backward subsumed rows in 436 calls.
% 1.11/1.28 ; Path-index has 6,571 entries (6,576 at peak, 8,470 added, 1,899 deleted).
% 1.11/1.28 ; Path-index has 4,298 nodes (4,301 at peak, 4,493 added, 195 deleted).
% 1.11/1.28 ; Trie-index has 6,571 entries (6,576 at peak, 8,470 added, 1,899 deleted).
% 1.11/1.28 ; Trie-index has 18,954 nodes (18,962 at peak, 24,221 added, 5,267 deleted).
% 1.11/1.28 ; Retrieved 6,261 generalization terms in 23,744 calls.
% 1.11/1.28 ; Retrieved 4,937 instance terms in 4,918 calls.
% 1.11/1.28 ; Retrieved 366,396 unifiable terms in 6,689 calls.
% 1.11/1.28 ;
% 1.11/1.28 ; The agenda of rows to process has 9 entries:
% 1.11/1.28 ; 5 with value 9 3 with value 10 1 with value 15
% 1.11/1.28 ; The agenda of input rows to give has 1 entry:
% 1.11/1.28 ; 1 with value 9
% 1.11/1.28 ; The agenda of rows to give has 3907 entries:
% 1.11/1.28 ; 1 with value (4 5) 423 with value (4 19) 1 with value (4 32)
% 1.11/1.28 ; 2 with value (4 7) 214 with value (4 20) 2 with value (4 33)
% 1.11/1.28 ; 5 with value (4 8) 57 with value (4 21) 2 with value (4 34)
% 1.11/1.28 ; 6 with value (4 9) 6 with value (4 22) 2 with value (4 37)
% 1.11/1.28 ; 8 with value (4 10) 9 with value (4 23) 1 with value (4 43)
% 1.11/1.28 ; 83 with value (4 11) 15 with value (4 24) 1 with value (4 44)
% 1.11/1.28 ; 102 with value (4 12) 4 with value (4 25) 1 with value (4 45)
% 1.11/1.28 ; 146 with value (4 13) 8 with value (4 26) 3 with value (4 46)
% 1.11/1.28 ; 222 with value (4 14) 1 with value (4 27) 1 with value (4 49)
% 1.11/1.28 ; 303 with value (4 15) 7 with value (4 28) 1 with value (4 51)
% 1.11/1.28 ; 648 with value (4 16) 10 with value (4 29) 1 with value (4 53)
% 1.11/1.28 ; 709 with value (4 17) 3 with value (4 30) 1 with value (4 59)
% 1.11/1.28 ; 896 with value (4 18) 1 with value (4 31) 1 with value (4 63)
% 1.11/1.28 Evaluation took:
% 1.11/1.28 0.808 seconds of real time
% 1.11/1.28 0.73913 seconds of user run time
% 1.11/1.28 0.068361 seconds of system run time
% 1.11/1.28 [Run times include 0.063 seconds GC run time.]
% 1.11/1.28 0 calls to %EVAL
% 1.11/1.28 0 page faults and
% 1.11/1.28 61,263,280 bytes consed.
% 1.11/1.28 :PROOF-FOUND
% 1.11/1.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:57:54
% 1.11/1.28 :PROOF-FOUND
% 1.11/1.28 *
%------------------------------------------------------------------------------