TSTP Solution File: SET072-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET072-6 : 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 05:06:52 EDT 2022
% Result : Unsatisfiable 0.93s 1.12s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 14 unt; 1 nHn; 16 RR)
% Number of literals : 28 ( 8 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 : 22 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(prove_right_cancellation_1,negated_conjecture,
unordered_pair(x,z) = unordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_cancellation_1) ).
cnf(prove_right_cancellation_2,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_cancellation_2) ).
cnf(prove_right_cancellation_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_cancellation_3) ).
cnf(155,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product1,prove_right_cancellation_2]) ).
cnf(156,plain,
member(y,universal_class),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product2,prove_right_cancellation_2]) ).
cnf(172,plain,
~ member(x,singleton(y)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_right_cancellation_3,prove_right_cancellation_3]),singleton_set,theory(equality)]) ).
cnf(266,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,155]) ).
cnf(288,plain,
member(y,unordered_pair(y,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,156]) ).
cnf(1017,plain,
~ subclass(unordered_pair(x,X),singleton(y)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,266,172]) ).
cnf(1255,plain,
member(y,unordered_pair(x,z)),
inference('PARAMODULATE',[status(thm)],[288,prove_right_cancellation_1,theory(equality)]) ).
cnf(4089,plain,
y = z,
inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,1255,prove_right_cancellation_3]) ).
cnf(4090,plain,
unordered_pair(x,y) = singleton(y),
inference('REWRITE',[status(thm)],[prove_right_cancellation_1,singleton_set,4089,theory(equality)]) ).
cnf(4091,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[equal_implies_subclass1,4090]),1017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET072-6 : 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 06:21:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:21:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T06:21:09
% 0.93/1.12
% 0.93/1.12
% 0.93/1.12 #||
% 0.93/1.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.12 % SZS output start Refutation
% See solution above
% 0.93/1.13 ||#
% 0.93/1.13
% 0.93/1.13 ; Summary of computation:
% 0.93/1.13 ; 8493 formulas have been input or derived (from 186 formulas).
% 0.93/1.13 ; 4091 (48%) were retained. Of these,
% 0.93/1.13 ; 17 ( 0%) were simplified or subsumed later,
% 0.93/1.13 ; 4074 (100%) are still being kept.
% 0.93/1.13 ;
% 0.93/1.13 ; Run time in seconds excluding printing time:
% 0.93/1.13 ; 0.017 3% Read assertion file (1 call)
% 0.93/1.13 ; 0.002 0% Assert (94 calls)
% 0.93/1.13 ; 0.205 31% Process new row (8,161 calls)
% 0.93/1.13 ; 0.229 35% Resolution (370 calls)
% 0.93/1.13 ; 0.005 1% Paramodulation (185 calls)
% 0.93/1.13 ; 0.000 0% Factoring (3 calls)
% 0.93/1.13 ; 0.003 0% Condensing (405 calls)
% 0.93/1.13 ; 0.020 3% Forward subsumption (405 calls)
% 0.93/1.13 ; 0.012 2% Backward subsumption (391 calls)
% 0.93/1.13 ; 0.000 0% Clause clause subsumption (270 calls)
% 0.93/1.13 ; 0.065 10% Forward simplification (7,901 calls)
% 0.93/1.13 ; 0.034 5% Backward simplification (4,079 calls)
% 0.93/1.13 ; 0.009 1% Ordering (806 calls)
% 0.93/1.13 ; 0.000 0% Sortal reasoning (32 calls)
% 0.93/1.13 ; 0.000 0% Purity testing (1 call)
% 0.93/1.13 ; 0.059 9% Other
% 0.93/1.13 ; 0.660 Total
% 0.93/1.13 ; 0.661 Real time
% 0.93/1.13 ;
% 0.93/1.13 ; Term-hash-array has 6,569 terms in all.
% 0.93/1.13 ; Feature-vector-row-index has 390 entries (391 at peak, 391 added, 1 deleted).
% 0.93/1.13 ; Feature-vector-row-index has 2,087 nodes (2,094 at peak, 2,094 added, 7 deleted).
% 0.93/1.13 ; Retrieved 286 possibly forward subsuming rows in 405 calls.
% 0.93/1.13 ; Retrieved 163 possibly backward subsumed rows in 391 calls.
% 0.93/1.13 ; Path-index has 6,571 entries (6,576 at peak, 6,580 added, 9 deleted).
% 0.93/1.13 ; Path-index has 4,298 nodes (4,301 at peak, 4,304 added, 6 deleted).
% 0.93/1.13 ; Trie-index has 6,571 entries (6,576 at peak, 6,580 added, 9 deleted).
% 0.93/1.13 ; Trie-index has 18,953 nodes (18,961 at peak, 18,968 added, 15 deleted).
% 0.93/1.13 ; Retrieved 5,722 generalization terms in 19,162 calls.
% 0.93/1.13 ; Retrieved 3,706 instance terms in 3,687 calls.
% 0.93/1.13 ; Retrieved 366,291 unifiable terms in 6,671 calls.
% 0.93/1.13 ;
% 0.93/1.13 ; The agenda of rows to process has 10 entries:
% 0.93/1.13 ; 6 with value 9 3 with value 10 1 with value 15
% 0.93/1.13 ; The agenda of rows to give has 3890 entries:
% 0.93/1.13 ; 1 with value (4 8) 57 with value (4 21) 2 with value (4 33)
% 0.93/1.13 ; 4 with value (4 10) 6 with value (4 22) 2 with value (4 34)
% 0.93/1.13 ; 83 with value (4 11) 9 with value (4 23) 2 with value (4 37)
% 0.93/1.13 ; 102 with value (4 12) 15 with value (4 24) 1 with value (4 43)
% 0.93/1.13 ; 146 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 0.93/1.13 ; 222 with value (4 14) 8 with value (4 26) 1 with value (4 45)
% 0.93/1.13 ; 303 with value (4 15) 1 with value (4 27) 3 with value (4 46)
% 0.93/1.13 ; 648 with value (4 16) 7 with value (4 28) 1 with value (4 49)
% 0.93/1.13 ; 709 with value (4 17) 10 with value (4 29) 1 with value (4 51)
% 0.93/1.13 ; 896 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.93/1.13 ; 423 with value (4 19) 1 with value (4 31) 1 with value (4 59)
% 0.93/1.13 ; 214 with value (4 20) 1 with value (4 32) 1 with value (4 63)
% 0.93/1.13 Evaluation took:
% 0.93/1.13 0.661 seconds of real time
% 0.93/1.13 0.611198 seconds of user run time
% 0.93/1.13 0.050638 seconds of system run time
% 0.93/1.13 [Run times include 0.046 seconds GC run time.]
% 0.93/1.13 0 calls to %EVAL
% 0.93/1.13 0 page faults and
% 0.93/1.13 45,973,064 bytes consed.
% 0.93/1.13 :PROOF-FOUND
% 0.93/1.13 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:21:10
% 0.93/1.13 :PROOF-FOUND
% 0.93/1.13 *
%------------------------------------------------------------------------------