%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 16:38:17 EDT 2022
% Result : Theorem 0.37s 0.62s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of clauses : 60 ( 51 unt; 0 nHn; 11 RR)
% Number of literals : 77 ( 32 equ; 18 neg)
% Maximal clause size : 10 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 102 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAW1' ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAW2'(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(5,axiom,
( ~ r3(X,Y,Z)
| Z = 'SKOLEMAAAW3'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
cnf(7,axiom,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAW4'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(8,axiom,
( X != 'SKOLEMAAAW4'(Y,Z)
| r4(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(9,axiom,
r2(X,'SKOLEMAAAW7'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(10,axiom,
r3(X,'SKOLEMAAAW7'(Y,X),'SKOLEMAAAW6'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(11,axiom,
'SKOLEMAAAW6'(X,Y) = 'SKOLEMAAAW5'(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(12,axiom,
r2('SKOLEMAAAW8'(X,Y),'SKOLEMAAAW5'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(13,axiom,
r3(X,Y,'SKOLEMAAAW8'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAW11'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(15,axiom,
r4(X,'SKOLEMAAAW11'(Y,X),'SKOLEMAAAW10'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(16,axiom,
'SKOLEMAAAW10'(X,Y) = 'SKOLEMAAAW9'(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(17,axiom,
r3('SKOLEMAAAW12'(X,Y),X,'SKOLEMAAAW9'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(18,plain,
r3('SKOLEMAAAW12'(X,Y),X,'SKOLEMAAAW10'(Y,X)),
inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).
cnf(19,axiom,
r4(X,Y,'SKOLEMAAAW12'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,axiom,
r1('SKOLEMAAAW14'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(22,axiom,
r3(X,'SKOLEMAAAW14'(X),'SKOLEMAAAW13'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(23,axiom,
'SKOLEMAAAW13'(X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(24,axiom,
r1('SKOLEMAAAW16'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(25,axiom,
r4(X,'SKOLEMAAAW16'(X),'SKOLEMAAAW15'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(26,axiom,
r1('SKOLEMAAAW17'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(27,axiom,
'SKOLEMAAAW15'(X) = 'SKOLEMAAAW17'(X),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( ~ r2(X,Y)
| ~ r1(Z)
| ~ r2(Z,X)
| ~ r4(U,Y,V)
| ~ r1(W)
| ~ r2(W,U)
| V != X1
| ~ r2(Y1,X1)
| ~ r1(Z1)
| ~ r2(Z1,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onetimestwoeqtwo) ).
cnf(34,plain,
r1('SKOLEMAAAW15'(X)),
inference('REWRITE',[status(thm)],[26,27,theory(equality)]) ).
cnf(35,plain,
r3(X,'SKOLEMAAAW14'(X),X),
inference('REWRITE',[status(thm)],[22,23,theory(equality)]) ).
cnf(36,plain,
r3(X,'SKOLEMAAAW7'(Y,X),'SKOLEMAAAW5'(Y,X)),
inference('REWRITE',[status(thm)],[10,11,theory(equality)]) ).
cnf(37,plain,
'SKOLEMAAAW16'(X) = 'SKOLEMAAAW1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(38,plain,
r1('SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[24,37,theory(equality)]) ).
cnf(39,plain,
r4(X,'SKOLEMAAAW1','SKOLEMAAAW15'(X)),
inference('REWRITE',[status(thm)],[25,37,theory(equality)]) ).
cnf(40,plain,
'SKOLEMAAAW15'(X) = 'SKOLEMAAAW1',
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(42,plain,
r4(X,'SKOLEMAAAW1','SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[39,40,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAW14'(X) = 'SKOLEMAAAW1',
inference('HYPERRESOLVE',[status(thm)],[1,21]) ).
cnf(44,plain,
r3(X,'SKOLEMAAAW1',X),
inference('REWRITE',[status(thm)],[35,43,theory(equality)]) ).
cnf(45,plain,
'SKOLEMAAAW11'(X,Y) = 'SKOLEMAAAW2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(46,plain,
r4(X,'SKOLEMAAAW2'(Y),'SKOLEMAAAW10'(Y,X)),
inference('REWRITE',[status(thm)],[15,45,theory(equality)]) ).
cnf(47,plain,
r2(X,'SKOLEMAAAW2'(X)),
inference('REWRITE',[status(thm)],[14,45,theory(equality)]) ).
cnf(48,plain,
'SKOLEMAAAW7'(X,Y) = 'SKOLEMAAAW2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,9]) ).
cnf(49,plain,
r3(X,'SKOLEMAAAW2'(Y),'SKOLEMAAAW5'(Y,X)),
inference('REWRITE',[status(thm)],[36,48,theory(equality)]) ).
cnf(50,plain,
'SKOLEMAAAW5'(X,Y) = 'SKOLEMAAAW2'('SKOLEMAAAW8'(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,12]) ).
cnf(57,plain,
X = 'SKOLEMAAAW3'(X,'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[5,44]) ).
cnf(58,plain,
'SKOLEMAAAW8'(X,Y) = 'SKOLEMAAAW3'(Y,X),
inference('HYPERRESOLVE',[status(thm)],[5,13]) ).
cnf(61,plain,
'SKOLEMAAAW5'(X,Y) = 'SKOLEMAAAW2'('SKOLEMAAAW3'(Y,X)),
inference('REWRITE',[status(thm)],[50,58,theory(equality)]) ).
cnf(62,plain,
r3(X,'SKOLEMAAAW2'(Y),'SKOLEMAAAW2'('SKOLEMAAAW3'(X,Y))),
inference('REWRITE',[status(thm)],[49,61,theory(equality)]) ).
cnf(64,plain,
'SKOLEMAAAW10'(X,Y) = 'SKOLEMAAAW3'('SKOLEMAAAW12'(Y,X),Y),
inference('HYPERRESOLVE',[status(thm)],[5,18]) ).
cnf(65,plain,
'SKOLEMAAAW2'('SKOLEMAAAW3'(X,Y)) = 'SKOLEMAAAW3'(X,'SKOLEMAAAW2'(Y)),
inference('HYPERRESOLVE',[status(thm)],[5,62]) ).
cnf(66,plain,
'SKOLEMAAAW1' = 'SKOLEMAAAW4'(X,'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[7,42]) ).
cnf(67,plain,
'SKOLEMAAAW12'(X,Y) = 'SKOLEMAAAW4'(X,Y),
inference('HYPERRESOLVE',[status(thm)],[7,19]) ).
cnf(68,plain,
( X != 'SKOLEMAAAW12'(Y,Z)
| r4(Y,Z,X) ),
inference('REWRITE',[status(thm)],[8,67,theory(equality)]) ).
cnf(69,plain,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAW12'(X,Y) ),
inference('REWRITE',[status(thm)],[7,67,theory(equality)]) ).
cnf(70,plain,
'SKOLEMAAAW1' = 'SKOLEMAAAW12'(X,'SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[66,67,theory(equality)]) ).
cnf(79,plain,
'SKOLEMAAAW10'(X,Y) = 'SKOLEMAAAW12'(Y,'SKOLEMAAAW2'(X)),
inference('HYPERRESOLVE',[status(thm)],[69,46]) ).
cnf(95,plain,
r3('SKOLEMAAAW1',X,'SKOLEMAAAW10'('SKOLEMAAAW1',X)),
inference('PARAMODULATE',[status(thm)],[18,70,theory(equality)]) ).
cnf(96,plain,
( X != 'SKOLEMAAAW1'
| r4(Y,'SKOLEMAAAW1',X) ),
inference('PARAMODULATE',[status(thm)],[68,70,theory(equality)]) ).
cnf(97,plain,
'SKOLEMAAAW10'('SKOLEMAAAW1',X) = 'SKOLEMAAAW3'('SKOLEMAAAW1',X),
inference('HYPERRESOLVE',[status(thm)],[5,95]) ).
cnf(103,plain,
r4(X,'SKOLEMAAAW1','SKOLEMAAAW10'('SKOLEMAAAW1','SKOLEMAAAW1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,57]),97,theory(equality)]) ).
cnf(104,plain,
'SKOLEMAAAW10'('SKOLEMAAAW1','SKOLEMAAAW1') = 'SKOLEMAAAW1',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,103]),70,theory(equality)]) ).
cnf(122,plain,
'SKOLEMAAAW10'('SKOLEMAAAW2'(X),Y) = 'SKOLEMAAAW3'('SKOLEMAAAW10'(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[64,79,theory(equality)]) ).
cnf(128,plain,
'SKOLEMAAAW10'('SKOLEMAAAW1','SKOLEMAAAW2'(X)) = 'SKOLEMAAAW2'('SKOLEMAAAW10'('SKOLEMAAAW1',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,65,theory(equality)]),97,theory(equality)]) ).
cnf(151,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[33,122,47,38,47,46,38,47,38,47]),47,57,65,104,128,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 2 10:12:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T10:12:29
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-02T10:12:29
% 0.21/0.52
% 0.37/0.62 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAW12 ?X ?Y)).
% 0.37/0.62
% 0.37/0.62 #||
% 0.37/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.62 % SZS output start Refutation
% See solution above
% 0.37/0.63 ||#
% 0.37/0.63
% 0.37/0.63 ; Summary of computation:
% 0.37/0.63 ; 772 formulas have been input or derived (from 83 formulas).
% 0.37/0.63 ; 151 (20%) were retained. Of these,
% 0.37/0.63 ; 31 (21%) were simplified or subsumed later,
% 0.37/0.63 ; 120 (79%) are still being kept.
% 0.37/0.63 ;
% 0.37/0.63 ; Run time in seconds excluding printing time:
% 0.37/0.63 ; 0.005 4% Read assertion file (1 call)
% 0.37/0.63 ; 0.002 2% Assert (12 calls)
% 0.37/0.63 ; 0.014 12% Process new row (634 calls)
% 0.37/0.63 ; 0.034 29% Resolution (164 calls)
% 0.37/0.63 ; 0.005 4% Paramodulation (82 calls)
% 0.37/0.63 ; 0.000 0% Factoring (7 calls)
% 0.37/0.63 ; 0.002 2% Condensing (130 calls)
% 0.37/0.63 ; 0.004 3% Forward subsumption (130 calls)
% 0.37/0.63 ; 0.000 0% Backward subsumption (63 calls)
% 0.37/0.63 ; 0.005 4% Clause clause subsumption (166 calls)
% 0.37/0.63 ; 0.014 12% Forward simplification (627 calls)
% 0.37/0.63 ; 0.003 3% Backward simplification (150 calls)
% 0.37/0.63 ; 0.000 0% Ordering (339 calls)
% 0.37/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.63 ; 0.000 0% Purity testing (1 call)
% 0.37/0.63 ; 0.030 25% Other
% 0.37/0.63 ; 0.118 Total
% 0.37/0.63 ; 0.122 Real time
% 0.37/0.63 ;
% 0.37/0.63 ; Term-hash-array has 254 terms in all.
% 0.37/0.63 ; Feature-vector-row-index has 57 entries (57 at peak, 63 added, 6 deleted).
% 0.37/0.63 ; Feature-vector-row-index has 217 nodes (217 at peak, 239 added, 22 deleted).
% 0.37/0.63 ; Retrieved 449 possibly forward subsuming rows in 130 calls.
% 0.37/0.63 ; Retrieved 14 possibly backward subsumed rows in 63 calls.
% 0.37/0.63 ; Path-index has 218 entries (218 at peak, 265 added, 47 deleted).
% 0.37/0.63 ; Path-index has 569 nodes (569 at peak, 631 added, 62 deleted).
% 0.37/0.63 ; Trie-index has 218 entries (218 at peak, 265 added, 47 deleted).
% 0.37/0.63 ; Trie-index has 617 nodes (617 at peak, 734 added, 117 deleted).
% 0.37/0.63 ; Retrieved 956 generalization terms in 2,697 calls.
% 0.37/0.63 ; Retrieved 93 instance terms in 86 calls.
% 0.37/0.63 ; Retrieved 14,138 unifiable terms in 4,784 calls.
% 0.37/0.63 ;
% 0.37/0.63 ; The agenda of rows to process has 5 entries:
% 0.37/0.63 ; 1 with value 18 1 with value 20 1 with value 49
% 0.37/0.63 ; 1 with value 19 1 with value 21
% 0.37/0.63 ; The agenda of rows to give has 48 entries:
% 0.37/0.63 ; 2 with value (4 15) 2 with value (4 22) 2 with value (4 31)
% 0.37/0.63 ; 13 with value (4 16) 1 with value (4 23) 2 with value (4 32)
% 0.37/0.63 ; 4 with value (4 17) 1 with value (4 24) 1 with value (4 33)
% 0.37/0.63 ; 6 with value (4 18) 2 with value (4 25) 1 with value (4 38)
% 0.37/0.63 ; 3 with value (4 19) 1 with value (4 26) 2 with value (4 39)
% 0.37/0.63 ; 1 with value (4 20) 1 with value (4 28) 1 with value (4 40)
% 0.37/0.63 ; 2 with value (4 21)
% 0.37/0.63 Evaluation took:
% 0.37/0.63 0.123 seconds of real time
% 0.37/0.63 0.104414 seconds of user run time
% 0.37/0.63 0.018662 seconds of system run time
% 0.37/0.63 0 calls to %EVAL
% 0.37/0.63 0 page faults and
% 0.37/0.63 9,990,744 bytes consed.
% 0.37/0.63 :PROOF-FOUND
% 0.37/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T10:12:30
% 0.37/0.63 :PROOF-FOUND
% 0.37/0.63 *
%------------------------------------------------------------------------------