TSTP Solution File: NUN084+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN084+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 16:38:20 EDT 2022
% Result : Theorem 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of clauses : 59 ( 50 unt; 0 nHn; 13 RR)
% Number of literals : 71 ( 29 equ; 15 neg)
% Maximal clause size : 5 ( 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 : 95 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAU1' ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAU2'(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(5,axiom,
( ~ r3(X,Y,Z)
| Z = 'SKOLEMAAAU3'(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
cnf(7,axiom,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAU4'(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(8,axiom,
( X != 'SKOLEMAAAU4'(Y,Z)
| r4(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(9,axiom,
r2(X,'SKOLEMAAAU7'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(10,axiom,
r3(X,'SKOLEMAAAU7'(Y,X),'SKOLEMAAAU6'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(11,axiom,
'SKOLEMAAAU6'(X,Y) = 'SKOLEMAAAU5'(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(12,axiom,
r2('SKOLEMAAAU8'(X,Y),'SKOLEMAAAU5'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(13,axiom,
r3(X,Y,'SKOLEMAAAU8'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAU11'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(15,axiom,
r4(X,'SKOLEMAAAU11'(Y,X),'SKOLEMAAAU10'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(16,axiom,
'SKOLEMAAAU10'(X,Y) = 'SKOLEMAAAU9'(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(17,axiom,
r3('SKOLEMAAAU12'(X,Y),X,'SKOLEMAAAU9'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(18,plain,
r3('SKOLEMAAAU12'(X,Y),X,'SKOLEMAAAU10'(Y,X)),
inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).
cnf(19,axiom,
r4(X,Y,'SKOLEMAAAU12'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,axiom,
r1('SKOLEMAAAU14'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(22,axiom,
r3(X,'SKOLEMAAAU14'(X),'SKOLEMAAAU13'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(23,axiom,
'SKOLEMAAAU13'(X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(24,axiom,
r1('SKOLEMAAAU16'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(25,axiom,
r4(X,'SKOLEMAAAU16'(X),'SKOLEMAAAU15'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(26,axiom,
r1('SKOLEMAAAU17'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(27,axiom,
'SKOLEMAAAU15'(X) = 'SKOLEMAAAU17'(X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( ~ r4(X,Y,Z)
| Z != U
| ~ r2(V,U)
| ~ r1(W)
| ~ r2(W,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xtimesyeqtwo) ).
cnf(34,plain,
r1('SKOLEMAAAU15'(X)),
inference('REWRITE',[status(thm)],[26,27,theory(equality)]) ).
cnf(35,plain,
r3(X,'SKOLEMAAAU14'(X),X),
inference('REWRITE',[status(thm)],[22,23,theory(equality)]) ).
cnf(36,plain,
r3(X,'SKOLEMAAAU7'(Y,X),'SKOLEMAAAU5'(Y,X)),
inference('REWRITE',[status(thm)],[10,11,theory(equality)]) ).
cnf(37,plain,
'SKOLEMAAAU16'(X) = 'SKOLEMAAAU1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(38,plain,
r1('SKOLEMAAAU1'),
inference('REWRITE',[status(thm)],[24,37,theory(equality)]) ).
cnf(39,plain,
r4(X,'SKOLEMAAAU1','SKOLEMAAAU15'(X)),
inference('REWRITE',[status(thm)],[25,37,theory(equality)]) ).
cnf(40,plain,
'SKOLEMAAAU15'(X) = 'SKOLEMAAAU1',
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(42,plain,
r4(X,'SKOLEMAAAU1','SKOLEMAAAU1'),
inference('REWRITE',[status(thm)],[39,40,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAU14'(X) = 'SKOLEMAAAU1',
inference('HYPERRESOLVE',[status(thm)],[1,21]) ).
cnf(44,plain,
r3(X,'SKOLEMAAAU1',X),
inference('REWRITE',[status(thm)],[35,43,theory(equality)]) ).
cnf(45,plain,
'SKOLEMAAAU11'(X,Y) = 'SKOLEMAAAU2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(46,plain,
r4(X,'SKOLEMAAAU2'(Y),'SKOLEMAAAU10'(Y,X)),
inference('REWRITE',[status(thm)],[15,45,theory(equality)]) ).
cnf(47,plain,
r2(X,'SKOLEMAAAU2'(X)),
inference('REWRITE',[status(thm)],[14,45,theory(equality)]) ).
cnf(48,plain,
'SKOLEMAAAU7'(X,Y) = 'SKOLEMAAAU2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,9]) ).
cnf(49,plain,
r3(X,'SKOLEMAAAU2'(Y),'SKOLEMAAAU5'(Y,X)),
inference('REWRITE',[status(thm)],[36,48,theory(equality)]) ).
cnf(50,plain,
'SKOLEMAAAU5'(X,Y) = 'SKOLEMAAAU2'('SKOLEMAAAU8'(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,12]) ).
cnf(57,plain,
X = 'SKOLEMAAAU3'(X,'SKOLEMAAAU1'),
inference('HYPERRESOLVE',[status(thm)],[5,44]) ).
cnf(58,plain,
'SKOLEMAAAU8'(X,Y) = 'SKOLEMAAAU3'(Y,X),
inference('HYPERRESOLVE',[status(thm)],[5,13]) ).
cnf(61,plain,
'SKOLEMAAAU5'(X,Y) = 'SKOLEMAAAU2'('SKOLEMAAAU3'(Y,X)),
inference('REWRITE',[status(thm)],[50,58,theory(equality)]) ).
cnf(62,plain,
r3(X,'SKOLEMAAAU2'(Y),'SKOLEMAAAU2'('SKOLEMAAAU3'(X,Y))),
inference('REWRITE',[status(thm)],[49,61,theory(equality)]) ).
cnf(65,plain,
'SKOLEMAAAU2'('SKOLEMAAAU3'(X,Y)) = 'SKOLEMAAAU3'(X,'SKOLEMAAAU2'(Y)),
inference('HYPERRESOLVE',[status(thm)],[5,62]) ).
cnf(66,plain,
'SKOLEMAAAU1' = 'SKOLEMAAAU4'(X,'SKOLEMAAAU1'),
inference('HYPERRESOLVE',[status(thm)],[7,42]) ).
cnf(67,plain,
'SKOLEMAAAU12'(X,Y) = 'SKOLEMAAAU4'(X,Y),
inference('HYPERRESOLVE',[status(thm)],[7,19]) ).
cnf(68,plain,
( X != 'SKOLEMAAAU12'(Y,Z)
| r4(Y,Z,X) ),
inference('REWRITE',[status(thm)],[8,67,theory(equality)]) ).
cnf(69,plain,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAU12'(X,Y) ),
inference('REWRITE',[status(thm)],[7,67,theory(equality)]) ).
cnf(70,plain,
'SKOLEMAAAU1' = 'SKOLEMAAAU12'(X,'SKOLEMAAAU1'),
inference('REWRITE',[status(thm)],[66,67,theory(equality)]) ).
cnf(97,plain,
r3('SKOLEMAAAU1',X,'SKOLEMAAAU10'('SKOLEMAAAU1',X)),
inference('PARAMODULATE',[status(thm)],[18,70,theory(equality)]) ).
cnf(98,plain,
( X != 'SKOLEMAAAU1'
| r4(Y,'SKOLEMAAAU1',X) ),
inference('PARAMODULATE',[status(thm)],[68,70,theory(equality)]) ).
cnf(99,plain,
'SKOLEMAAAU10'('SKOLEMAAAU1',X) = 'SKOLEMAAAU3'('SKOLEMAAAU1',X),
inference('HYPERRESOLVE',[status(thm)],[5,97]) ).
cnf(111,plain,
r4(X,'SKOLEMAAAU1','SKOLEMAAAU10'('SKOLEMAAAU1','SKOLEMAAAU1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[98,57]),99,theory(equality)]) ).
cnf(112,plain,
'SKOLEMAAAU10'('SKOLEMAAAU1','SKOLEMAAAU1') = 'SKOLEMAAAU1',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,111]),70,theory(equality)]) ).
cnf(136,plain,
'SKOLEMAAAU10'('SKOLEMAAAU1','SKOLEMAAAU2'(X)) = 'SKOLEMAAAU2'('SKOLEMAAAU10'('SKOLEMAAAU1',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[99,65,theory(equality)]),99,theory(equality)]) ).
cnf(203,plain,
~ r2('SKOLEMAAAU1','SKOLEMAAAU10'('SKOLEMAAAU1',X)),
inference('UR-RESOLVE',[status(thm)],[33,136,46,47,38]) ).
cnf(215,plain,
~ r2('SKOLEMAAAU1','SKOLEMAAAU2'('SKOLEMAAAU10'('SKOLEMAAAU1',X))),
inference('PARAMODULATE',[status(thm)],[203,136,theory(equality)]) ).
cnf(219,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,112,theory(equality)]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN084+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 2 04:48:42 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T04:48:42
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-02T04:48:42
% 0.20/0.48
% 0.42/0.59 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAU12 ?X ?Y)).
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 1200 formulas have been input or derived (from 109 formulas).
% 0.42/0.59 ; 219 (18%) were retained. Of these,
% 0.42/0.59 ; 31 (14%) were simplified or subsumed later,
% 0.42/0.59 ; 188 (86%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds excluding printing time:
% 0.42/0.59 ; 0.005 4% Read assertion file (1 call)
% 0.42/0.59 ; 0.001 1% Assert (12 calls)
% 0.42/0.59 ; 0.018 15% Process new row (1,034 calls)
% 0.42/0.59 ; 0.034 28% Resolution (216 calls)
% 0.42/0.59 ; 0.002 2% Paramodulation (108 calls)
% 0.42/0.59 ; 0.000 0% Factoring (13 calls)
% 0.42/0.59 ; 0.004 3% Condensing (201 calls)
% 0.42/0.59 ; 0.004 3% Forward subsumption (201 calls)
% 0.42/0.59 ; 0.000 0% Backward subsumption (98 calls)
% 0.42/0.59 ; 0.002 2% Clause clause subsumption (293 calls)
% 0.42/0.59 ; 0.016 13% Forward simplification (1,024 calls)
% 0.42/0.59 ; 0.003 2% Backward simplification (218 calls)
% 0.42/0.59 ; 0.002 2% Ordering (539 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.032 26% Other
% 0.42/0.59 ; 0.123 Total
% 0.42/0.59 ; 0.127 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 344 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 92 entries (92 at peak, 98 added, 6 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 395 nodes (395 at peak, 417 added, 22 deleted).
% 0.42/0.59 ; Retrieved 702 possibly forward subsuming rows in 201 calls.
% 0.42/0.59 ; Retrieved 22 possibly backward subsumed rows in 98 calls.
% 0.42/0.59 ; Path-index has 308 entries (308 at peak, 354 added, 46 deleted).
% 0.42/0.59 ; Path-index has 794 nodes (794 at peak, 856 added, 62 deleted).
% 0.42/0.59 ; Trie-index has 308 entries (308 at peak, 354 added, 46 deleted).
% 0.42/0.59 ; Trie-index has 956 nodes (956 at peak, 1,073 added, 117 deleted).
% 0.42/0.59 ; Retrieved 1,504 generalization terms in 4,675 calls.
% 0.42/0.59 ; Retrieved 126 instance terms in 119 calls.
% 0.42/0.59 ; Retrieved 9,883 unifiable terms in 3,206 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of rows to process has 2 entries:
% 0.42/0.59 ; 1 with value 17 1 with value 18
% 0.42/0.59 ; The agenda of rows to give has 90 entries:
% 0.42/0.59 ; 3 with value (4 16) 4 with value (4 25) 2 with value (4 35)
% 0.42/0.59 ; 8 with value (4 17) 4 with value (4 26) 2 with value (4 36)
% 0.42/0.59 ; 13 with value (4 18) 1 with value (4 27) 1 with value (4 38)
% 0.42/0.59 ; 13 with value (4 19) 3 with value (4 28) 2 with value (4 39)
% 0.42/0.59 ; 5 with value (4 20) 2 with value (4 29) 1 with value (4 40)
% 0.42/0.59 ; 5 with value (4 21) 1 with value (4 30) 1 with value (4 41)
% 0.42/0.59 ; 5 with value (4 22) 2 with value (4 31) 1 with value (4 42)
% 0.42/0.59 ; 4 with value (4 23) 3 with value (4 32) 1 with value (4 43)
% 0.42/0.59 ; 2 with value (4 24) 1 with value (4 33)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.127 seconds of real time
% 0.42/0.59 0.106988 seconds of user run time
% 0.42/0.59 0.020298 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 10,494,408 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T04:48:43
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------