TSTP Solution File: NUM385+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Mon Jul 18 14:10:10 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 10 unt; 1 nHn; 11 RR)
% Number of literals : 19 ( 6 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ in(X,Y)
| ~ in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
cnf(3,axiom,
succ(X) = set_union2(X,singleton(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
cnf(4,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( X != set_union2(Y,Z)
| ~ in(U,X)
| in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(33,axiom,
in(X,succ(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
cnf(34,negated_conjecture,
succ('SKOLEMAAAV14') = succ('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_ordinal1) ).
cnf(35,negated_conjecture,
'SKOLEMAAAV14' != 'SKOLEMAAAV15',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_ordinal1) ).
cnf(43,plain,
in('SKOLEMAAAV15',succ('SKOLEMAAAV14')),
inference('PARAMODULATE',[status(thm)],[33,34,theory(equality)]) ).
cnf(73,plain,
~ in('SKOLEMAAAV14',singleton('SKOLEMAAAV15')),
inference('UR-RESOLVE',[status(thm)],[4,35,theory(equality)]) ).
cnf(74,plain,
~ in('SKOLEMAAAV15',singleton('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[4,35,theory(equality)]) ).
cnf(128,plain,
in('SKOLEMAAAV15','SKOLEMAAAV14'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,43,3]),74]) ).
cnf(131,plain,
~ in('SKOLEMAAAV14','SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[1,128]) ).
cnf(383,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,131,3,73]),33,34,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.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 : Tue Jul 5 03:28:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T03:28:35
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-05T03:28:35
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.48 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.48 WARNING:
% 0.18/0.48 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.61 ; Declaring set_union2 to be commutative.
% 0.42/0.61
% 0.42/0.61 #||
% 0.42/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61 % SZS output start Refutation
% See solution above
% 0.42/0.61 ||#
% 0.42/0.61
% 0.42/0.61 ; Summary of computation:
% 0.42/0.61 ; 1764 formulas have been input or derived (from 77 formulas).
% 0.42/0.61 ; 383 (22%) were retained. Of these,
% 0.42/0.61 ; 8 ( 2%) were simplified or subsumed later,
% 0.42/0.61 ; 375 (98%) are still being kept.
% 0.42/0.61 ;
% 0.42/0.61 ; Run time in seconds excluding printing time:
% 0.42/0.61 ; 0.006 4% Read assertion file (1 call)
% 0.42/0.61 ; 0.002 1% Assert (35 calls)
% 0.42/0.61 ; 0.030 21% Process new row (1,588 calls)
% 0.42/0.61 ; 0.024 16% Resolution (152 calls)
% 0.42/0.61 ; 0.000 0% Paramodulation (76 calls)
% 0.42/0.61 ; 0.000 0% Factoring (2 calls)
% 0.42/0.61 ; 0.003 2% Condensing (128 calls)
% 0.42/0.61 ; 0.004 3% Forward subsumption (128 calls)
% 0.42/0.61 ; 0.001 1% Backward subsumption (58 calls)
% 0.42/0.61 ; 0.003 2% Clause clause subsumption (269 calls)
% 0.42/0.61 ; 0.030 21% Forward simplification (1,573 calls)
% 0.42/0.61 ; 0.006 4% Backward simplification (383 calls)
% 0.42/0.61 ; 0.003 2% Ordering (718 calls)
% 0.42/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.61 ; 0.001 1% Purity testing (1 call)
% 0.42/0.61 ; 0.033 23% Other
% 0.42/0.61 ; 0.146 Total
% 0.42/0.61 ; 0.150 Real time
% 0.42/0.61 ;
% 0.42/0.61 ; Term-hash-array has 721 terms in all.
% 0.42/0.61 ; Feature-vector-row-index has 57 entries (58 at peak, 58 added, 1 deleted).
% 0.42/0.61 ; Feature-vector-row-index has 159 nodes (165 at peak, 165 added, 6 deleted).
% 0.42/0.61 ; Retrieved 405 possibly forward subsuming rows in 128 calls.
% 0.42/0.61 ; Retrieved 32 possibly backward subsumed rows in 58 calls.
% 0.42/0.61 ; Path-index has 727 entries (727 at peak, 736 added, 9 deleted).
% 0.42/0.61 ; Path-index has 388 nodes (388 at peak, 396 added, 8 deleted).
% 0.42/0.61 ; Trie-index has 727 entries (727 at peak, 736 added, 9 deleted).
% 0.42/0.61 ; Trie-index has 1,177 nodes (1,177 at peak, 1,189 added, 12 deleted).
% 0.42/0.61 ; Retrieved 2,628 generalization terms in 3,535 calls.
% 0.42/0.61 ; Retrieved 690 instance terms in 324 calls.
% 0.42/0.61 ; Retrieved 16,535 unifiable terms in 1,601 calls.
% 0.42/0.61 ;
% 0.42/0.61 ; The agenda of rows to process has 32 entries:
% 0.42/0.61 ; 4 with value 11 5 with value 13 6 with value 16
% 0.42/0.61 ; 8 with value 12 8 with value 14 1 with value 19
% 0.42/0.61 ; The agenda of rows to give has 303 entries:
% 0.42/0.61 ; 2 with value (4 7) 1 with value (4 17) 3 with value (4 34)
% 0.42/0.61 ; 14 with value (4 8) 5 with value (4 21) 1 with value (4 36)
% 0.42/0.61 ; 12 with value (4 9) 1 with value (4 22) 2 with value (4 39)
% 0.42/0.61 ; 22 with value (4 10) 1 with value (4 23) 3 with value (4 40)
% 0.42/0.61 ; 100 with value (4 11) 1 with value (4 24) 2 with value (4 41)
% 0.42/0.61 ; 4 with value (4 12) 1 with value (4 26) 1 with value (4 50)
% 0.42/0.61 ; 112 with value (4 13) 1 with value (4 27) 2 with value (4 51)
% 0.42/0.61 ; 1 with value (4 15) 3 with value (4 32) 1 with value (4 54)
% 0.42/0.61 ; 2 with value (4 16) 3 with value (4 33) 2 with value (4 55)
% 0.42/0.61 Evaluation took:
% 0.42/0.61 0.151 seconds of real time
% 0.42/0.61 0.129319 seconds of user run time
% 0.42/0.61 0.020049 seconds of system run time
% 0.42/0.61 0 calls to %EVAL
% 0.42/0.61 0 page faults and
% 0.42/0.61 7,959,856 bytes consed.
% 0.42/0.61 :PROOF-FOUND
% 0.42/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T03:28:35
% 0.42/0.61 :PROOF-FOUND
% 0.42/0.61 *
%------------------------------------------------------------------------------