TSTP Solution File: ALG006-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Thu Jul 14 17:59:35 EDT 2022
% Result : Unsatisfiable 0.41s 0.62s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 2 RR)
% Number of literals : 30 ( 29 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(set_difference_1,axiom,
difference(X,difference(Y,X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_1) ).
cnf(set_difference_2,axiom,
difference(X,difference(X,Y)) = difference(Y,difference(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_2) ).
cnf(set_difference_3,axiom,
difference(difference(X,Y),Z) = difference(difference(X,Z),difference(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_3) ).
cnf(prove_set_difference_3_simplified,negated_conjecture,
difference(difference(a,c),b) != difference(difference(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_difference_3_simplified) ).
cnf(5,plain,
difference(difference(X,Y),Y) = difference(X,Y),
inference('PARAMODULATE',[status(thm)],[set_difference_1,set_difference_1,theory(equality)]) ).
cnf(7,plain,
difference(X,X) = difference(difference(Y,X),difference(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[set_difference_2,set_difference_1,theory(equality)]),5,theory(equality)]) ).
cnf(8,plain,
difference(X,difference(X,difference(X,Y))) = difference(X,difference(Y,difference(Y,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[set_difference_2,set_difference_2,theory(equality)]),set_difference_2,theory(equality)]) ).
cnf(12,plain,
difference(difference(X,Y),difference(Z,X)) = difference(X,difference(Y,difference(Z,X))),
inference('PARAMODULATE',[status(thm)],[set_difference_3,set_difference_1,theory(equality)]) ).
cnf(13,plain,
difference(X,difference(X,difference(X,Y))) = difference(difference(X,Y),difference(Y,X)),
inference('REWRITE',[status(thm)],[8,12,theory(equality)]) ).
cnf(14,plain,
difference(difference(X,Y),difference(Z,Y)) = difference(difference(X,difference(Z,Y)),Y),
inference('PARAMODULATE',[status(thm)],[set_difference_3,set_difference_1,theory(equality)]) ).
cnf(16,plain,
difference(X,difference(X,difference(Y,Z))) = difference(difference(Y,Z),difference(difference(Y,X),difference(Z,X))),
inference('PARAMODULATE',[status(thm)],[set_difference_2,set_difference_3,theory(equality)]) ).
cnf(28,plain,
difference(difference(difference(X,Y),Z),Y) = difference(difference(X,Y),difference(Z,Y)),
inference('PARAMODULATE',[status(thm)],[set_difference_3,5,theory(equality)]) ).
cnf(31,plain,
difference(difference(X,Y),X) = difference(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]),set_difference_3,theory(equality)]) ).
cnf(34,plain,
difference(X,X) = difference(Y,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,set_difference_2,theory(equality)]),7,theory(equality)]) ).
cnf(35,plain,
difference(X,difference(Y,Y)) = X,
inference('PARAMODULATE',[status(thm)],[set_difference_1,34,theory(equality)]) ).
cnf(36,plain,
difference(difference(X,X),Y) = difference(X,X),
inference('PARAMODULATE',[status(thm)],[5,34,theory(equality)]) ).
cnf(37,plain,
difference(difference(X,Y),difference(Y,X)) = difference(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[set_difference_2,31,theory(equality)]),35,13,theory(equality)]) ).
cnf(38,plain,
difference(X,difference(X,difference(X,Y))) = difference(X,Y),
inference('REWRITE',[status(thm)],[13,37,theory(equality)]) ).
cnf(39,plain,
difference(X,X) = difference(difference(difference(X,Y),Z),difference(X,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[set_difference_3,31,theory(equality)]),36,theory(equality)]) ).
cnf(41,plain,
difference(difference(X,difference(Y,Z)),Y) = difference(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[set_difference_3,31,theory(equality)]),5,set_difference_3,theory(equality)]) ).
cnf(43,plain,
difference(difference(X,Y),Z) = difference(difference(X,Z),difference(difference(X,difference(X,Y)),Z)),
inference('PARAMODULATE',[status(thm)],[set_difference_3,38,theory(equality)]) ).
cnf(44,plain,
difference(difference(X,Y),difference(difference(X,Y),difference(difference(X,Z),Y))) = difference(difference(X,Z),Y),
inference('PARAMODULATE',[status(thm)],[38,set_difference_3,theory(equality)]) ).
cnf(85,plain,
difference(difference(X,Y),difference(X,difference(Y,Z))) = difference(difference(X,difference(Y,Z)),difference(X,difference(Y,Z))),
inference('PARAMODULATE',[status(thm)],[31,41,theory(equality)]) ).
cnf(99,plain,
difference(X,X) = difference(difference(X,Y),difference(X,difference(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[31,14,theory(equality)]),85,39,theory(equality)]) ).
cnf(139,plain,
difference(difference(X,Y),Z) = difference(difference(X,Y),difference(Z,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,28,theory(equality)]),35,99,theory(equality)]) ).
cnf(168,plain,
difference(difference(X,Y),difference(difference(X,Y),difference(X,Z))) = difference(difference(X,Z),Y),
inference('REWRITE',[status(thm)],[44,139,theory(equality)]) ).
cnf(169,plain,
difference(difference(X,Y),Z) = difference(difference(X,Z),difference(X,difference(X,Y))),
inference('REWRITE',[status(thm)],[43,139,theory(equality)]) ).
cnf(177,plain,
difference(X,difference(X,difference(Y,Z))) = difference(difference(Y,Z),difference(Y,X)),
inference('REWRITE',[status(thm)],[16,139,theory(equality)]) ).
cnf(178,plain,
difference(difference(X,Y),Z) = difference(difference(X,Z),Y),
inference('REWRITE',[status(thm)],[168,169,177,theory(equality)]) ).
cnf(179,plain,
$false,
inference('REWRITE',[status(thm)],[prove_set_difference_3_simplified,178,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Thu Jun 9 06:22:38 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.39 #<PACKAGE "SNARK-USER">
% 0.13/0.39 *
% 0.13/0.39 SNARK-TPTP-OPTIONS
% 0.13/0.39 *
% 0.13/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.39 (USE-FACTORING :POS)
% 0.13/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.39 *
% 0.13/0.39 "."
% 0.13/0.39 *
% 0.13/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:22:38
% 0.13/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T06:22:38
% 0.41/0.62
% 0.41/0.62
% 0.41/0.62 #||
% 0.41/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.62 % SZS output start Refutation
% See solution above
% 0.44/0.63 ||#
% 0.44/0.63
% 0.44/0.63 ; Summary of computation:
% 0.44/0.63 ; 1009 formulas have been input or derived (from 22 formulas).
% 0.44/0.63 ; 179 (18%) were retained. Of these,
% 0.44/0.63 ; 116 (65%) were simplified or subsumed later,
% 0.44/0.63 ; 63 (35%) are still being kept.
% 0.44/0.63 ;
% 0.44/0.63 ; Run time in seconds excluding printing time:
% 0.44/0.63 ; 0.001 0% Read assertion file (1 call)
% 0.44/0.63 ; 0.000 0% Assert (4 calls)
% 0.44/0.63 ; 0.026 11% Process new row (933 calls)
% 0.44/0.63 ; 0.000 0% Resolution (42 calls)
% 0.44/0.63 ; 0.020 9% Paramodulation (21 calls)
% 0.44/0.63 ; 0.073 32% Forward simplification (931 calls)
% 0.44/0.63 ; 0.015 7% Backward simplification (179 calls)
% 0.44/0.63 ; 0.073 32% Ordering (5,194 calls)
% 0.44/0.63 ; 0.001 0% Sortal reasoning (32 calls)
% 0.44/0.63 ; 0.000 0% Purity testing (1 call)
% 0.44/0.63 ; 0.021 9% Other
% 0.44/0.63 ; 0.230 Total
% 0.44/0.63 ; 0.240 Real time
% 0.44/0.63 ;
% 0.44/0.63 ; Term-hash-array has 473 terms in all.
% 0.44/0.63 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.44/0.63 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.44/0.63 ; Path-index has 191 entries (370 at peak, 517 added, 326 deleted).
% 0.44/0.63 ; Path-index has 161 nodes (187 at peak, 195 added, 34 deleted).
% 0.44/0.63 ; Trie-index has 191 entries (370 at peak, 517 added, 326 deleted).
% 0.44/0.63 ; Trie-index has 570 nodes (1,276 at peak, 1,688 added, 1,118 deleted).
% 0.44/0.63 ; Retrieved 24,009 generalization terms in 7,607 calls.
% 0.44/0.63 ; Retrieved 1,868 instance terms in 217 calls.
% 0.44/0.63 ; Retrieved 2,855 unifiable terms in 130 calls.
% 0.44/0.63 ;
% 0.44/0.63 ; The agenda of backward simplifiable rows to process has 36 entries:
% 0.44/0.63 ; 36 with value 0
% 0.44/0.63 ; The agenda of rows to process has 10 entries:
% 0.44/0.63 ; 5 with value 36 2 with value 39 1 with value 47
% 0.44/0.63 ; 2 with value 38
% 0.44/0.63 ; The agenda of rows to give has 51 entries:
% 0.44/0.63 ; 1 with value (4 16) 9 with value (4 23) 2 with value (4 28)
% 0.44/0.63 ; 1 with value (4 17) 7 with value (4 24) 1 with value (4 29)
% 0.44/0.63 ; 2 with value (4 19) 4 with value (4 25) 1 with value (4 31)
% 0.44/0.63 ; 1 with value (4 20) 11 with value (4 26) 1 with value (4 32)
% 0.44/0.63 ; 2 with value (4 21) 2 with value (4 27) 1 with value (4 33)
% 0.44/0.63 ; 5 with value (4 22)
% 0.44/0.63 Evaluation took:
% 0.44/0.63 0.24 seconds of real time
% 0.44/0.63 0.226097 seconds of user run time
% 0.44/0.63 0.014274 seconds of system run time
% 0.44/0.63 [Run times include 0.006 seconds GC run time.]
% 0.44/0.63 0 calls to %EVAL
% 0.44/0.63 0 page faults and
% 0.44/0.63 13,222,024 bytes consed.
% 0.44/0.63 :PROOF-FOUND
% 0.44/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:22:38
% 0.44/0.63 :PROOF-FOUND
% 0.44/0.63 *
%------------------------------------------------------------------------------