TSTP Solution File: NUN071+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN071+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : Mon Jul 18 16:38:17 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of clauses : 58 ( 49 unt; 0 nHn; 12 RR)
% Number of literals : 71 ( 29 equ; 15 neg)
% Maximal clause size : 6 ( 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 : 92 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAV2'(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(5,axiom,
( ~ r3(X,Y,Z)
| Z = 'SKOLEMAAAV3'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
cnf(7,axiom,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAV4'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(8,axiom,
( X != 'SKOLEMAAAV4'(Y,Z)
| r4(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(9,axiom,
r2(X,'SKOLEMAAAV7'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(10,axiom,
r3(X,'SKOLEMAAAV7'(Y,X),'SKOLEMAAAV6'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(11,axiom,
'SKOLEMAAAV6'(X,Y) = 'SKOLEMAAAV5'(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(12,axiom,
r2('SKOLEMAAAV8'(X,Y),'SKOLEMAAAV5'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(13,axiom,
r3(X,Y,'SKOLEMAAAV8'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAV11'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(15,axiom,
r4(X,'SKOLEMAAAV11'(Y,X),'SKOLEMAAAV10'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(16,axiom,
'SKOLEMAAAV10'(X,Y) = 'SKOLEMAAAV9'(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(17,axiom,
r3('SKOLEMAAAV12'(X,Y),X,'SKOLEMAAAV9'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(18,plain,
r3('SKOLEMAAAV12'(X,Y),X,'SKOLEMAAAV10'(Y,X)),
inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).
cnf(19,axiom,
r4(X,Y,'SKOLEMAAAV12'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,axiom,
r1('SKOLEMAAAV14'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(22,axiom,
r3(X,'SKOLEMAAAV14'(X),'SKOLEMAAAV13'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(23,axiom,
'SKOLEMAAAV13'(X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(24,axiom,
r1('SKOLEMAAAV16'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(25,axiom,
r4(X,'SKOLEMAAAV16'(X),'SKOLEMAAAV15'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(26,axiom,
r1('SKOLEMAAAV17'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(27,axiom,
'SKOLEMAAAV15'(X) = 'SKOLEMAAAV17'(X),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( ~ r4(X,X,Y)
| ~ r1(Z)
| ~ r2(Z,X)
| Y != U
| ~ r1(V)
| ~ r2(V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onetimesoneeqone) ).
cnf(34,plain,
r1('SKOLEMAAAV15'(X)),
inference('REWRITE',[status(thm)],[26,27,theory(equality)]) ).
cnf(35,plain,
r3(X,'SKOLEMAAAV14'(X),X),
inference('REWRITE',[status(thm)],[22,23,theory(equality)]) ).
cnf(36,plain,
r3(X,'SKOLEMAAAV7'(Y,X),'SKOLEMAAAV5'(Y,X)),
inference('REWRITE',[status(thm)],[10,11,theory(equality)]) ).
cnf(37,plain,
'SKOLEMAAAV16'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(38,plain,
r1('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[24,37,theory(equality)]) ).
cnf(39,plain,
r4(X,'SKOLEMAAAV1','SKOLEMAAAV15'(X)),
inference('REWRITE',[status(thm)],[25,37,theory(equality)]) ).
cnf(40,plain,
'SKOLEMAAAV15'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(42,plain,
r4(X,'SKOLEMAAAV1','SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[39,40,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAV14'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,21]) ).
cnf(44,plain,
r3(X,'SKOLEMAAAV1',X),
inference('REWRITE',[status(thm)],[35,43,theory(equality)]) ).
cnf(45,plain,
'SKOLEMAAAV11'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(46,plain,
r4(X,'SKOLEMAAAV2'(Y),'SKOLEMAAAV10'(Y,X)),
inference('REWRITE',[status(thm)],[15,45,theory(equality)]) ).
cnf(47,plain,
r2(X,'SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[14,45,theory(equality)]) ).
cnf(48,plain,
'SKOLEMAAAV7'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,9]) ).
cnf(49,plain,
r3(X,'SKOLEMAAAV2'(Y),'SKOLEMAAAV5'(Y,X)),
inference('REWRITE',[status(thm)],[36,48,theory(equality)]) ).
cnf(50,plain,
'SKOLEMAAAV5'(X,Y) = 'SKOLEMAAAV2'('SKOLEMAAAV8'(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,12]) ).
cnf(57,plain,
X = 'SKOLEMAAAV3'(X,'SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[5,44]) ).
cnf(58,plain,
'SKOLEMAAAV8'(X,Y) = 'SKOLEMAAAV3'(Y,X),
inference('HYPERRESOLVE',[status(thm)],[5,13]) ).
cnf(61,plain,
'SKOLEMAAAV5'(X,Y) = 'SKOLEMAAAV2'('SKOLEMAAAV3'(Y,X)),
inference('REWRITE',[status(thm)],[50,58,theory(equality)]) ).
cnf(62,plain,
r3(X,'SKOLEMAAAV2'(Y),'SKOLEMAAAV2'('SKOLEMAAAV3'(X,Y))),
inference('REWRITE',[status(thm)],[49,61,theory(equality)]) ).
cnf(65,plain,
'SKOLEMAAAV2'('SKOLEMAAAV3'(X,Y)) = 'SKOLEMAAAV3'(X,'SKOLEMAAAV2'(Y)),
inference('HYPERRESOLVE',[status(thm)],[5,62]) ).
cnf(66,plain,
'SKOLEMAAAV1' = 'SKOLEMAAAV4'(X,'SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[7,42]) ).
cnf(67,plain,
'SKOLEMAAAV12'(X,Y) = 'SKOLEMAAAV4'(X,Y),
inference('HYPERRESOLVE',[status(thm)],[7,19]) ).
cnf(68,plain,
( X != 'SKOLEMAAAV12'(Y,Z)
| r4(Y,Z,X) ),
inference('REWRITE',[status(thm)],[8,67,theory(equality)]) ).
cnf(69,plain,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAV12'(X,Y) ),
inference('REWRITE',[status(thm)],[7,67,theory(equality)]) ).
cnf(70,plain,
'SKOLEMAAAV1' = 'SKOLEMAAAV12'(X,'SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[66,67,theory(equality)]) ).
cnf(88,plain,
~ r2('SKOLEMAAAV1','SKOLEMAAAV10'('SKOLEMAAAV1','SKOLEMAAAV2'('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[33,46,38,47,38,theory(equality)]) ).
cnf(95,plain,
r3('SKOLEMAAAV1',X,'SKOLEMAAAV10'('SKOLEMAAAV1',X)),
inference('PARAMODULATE',[status(thm)],[18,70,theory(equality)]) ).
cnf(96,plain,
( X != 'SKOLEMAAAV1'
| r4(Y,'SKOLEMAAAV1',X) ),
inference('PARAMODULATE',[status(thm)],[68,70,theory(equality)]) ).
cnf(97,plain,
'SKOLEMAAAV10'('SKOLEMAAAV1',X) = 'SKOLEMAAAV3'('SKOLEMAAAV1',X),
inference('HYPERRESOLVE',[status(thm)],[5,95]) ).
cnf(106,plain,
r4(X,'SKOLEMAAAV1','SKOLEMAAAV10'('SKOLEMAAAV1','SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,57]),97,theory(equality)]) ).
cnf(107,plain,
'SKOLEMAAAV10'('SKOLEMAAAV1','SKOLEMAAAV1') = 'SKOLEMAAAV1',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,106]),70,theory(equality)]) ).
cnf(131,plain,
'SKOLEMAAAV10'('SKOLEMAAAV1','SKOLEMAAAV2'(X)) = 'SKOLEMAAAV2'('SKOLEMAAAV10'('SKOLEMAAAV1',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,65,theory(equality)]),97,theory(equality)]) ).
cnf(132,plain,
$false,
inference('REWRITE',[status(thm)],[88,47,107,131,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUN071+2 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 04:17:01 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:17:01
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-02T04:17:01
% 0.20/0.51
% 0.38/0.57 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.38/0.57
% 0.38/0.57 #||
% 0.38/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.41/0.58 ||#
% 0.41/0.58
% 0.41/0.58 ; Summary of computation:
% 0.41/0.58 ; 529 formulas have been input or derived (from 73 formulas).
% 0.41/0.58 ; 132 (25%) were retained. Of these,
% 0.41/0.58 ; 36 (27%) were simplified or subsumed later,
% 0.41/0.58 ; 96 (73%) are still being kept.
% 0.41/0.58 ;
% 0.41/0.58 ; Run time in seconds excluding printing time:
% 0.41/0.58 ; 0.005 6% Read assertion file (1 call)
% 0.41/0.58 ; 0.002 3% Assert (12 calls)
% 0.41/0.58 ; 0.016 20% Process new row (451 calls)
% 0.41/0.58 ; 0.011 14% Resolution (144 calls)
% 0.41/0.58 ; 0.005 6% Paramodulation (72 calls)
% 0.41/0.58 ; 0.000 0% Factoring (5 calls)
% 0.41/0.58 ; 0.000 0% Condensing (70 calls)
% 0.41/0.58 ; 0.004 5% Forward subsumption (70 calls)
% 0.41/0.58 ; 0.000 0% Backward subsumption (50 calls)
% 0.41/0.58 ; 0.000 0% Clause clause subsumption (58 calls)
% 0.41/0.58 ; 0.005 6% Forward simplification (444 calls)
% 0.41/0.58 ; 0.003 4% Backward simplification (131 calls)
% 0.41/0.58 ; 0.001 1% Ordering (260 calls)
% 0.41/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.58 ; 0.000 0% Purity testing (1 call)
% 0.41/0.58 ; 0.027 34% Other
% 0.41/0.58 ; 0.079 Total
% 0.41/0.58 ; 0.084 Real time
% 0.41/0.58 ;
% 0.41/0.58 ; Term-hash-array has 221 terms in all.
% 0.41/0.58 ; Feature-vector-row-index has 44 entries (44 at peak, 50 added, 6 deleted).
% 0.41/0.58 ; Feature-vector-row-index has 150 nodes (150 at peak, 172 added, 22 deleted).
% 0.41/0.58 ; Retrieved 135 possibly forward subsuming rows in 70 calls.
% 0.41/0.58 ; Retrieved 9 possibly backward subsumed rows in 50 calls.
% 0.41/0.58 ; Path-index has 178 entries (185 at peak, 232 added, 54 deleted).
% 0.41/0.58 ; Path-index has 485 nodes (495 at peak, 557 added, 72 deleted).
% 0.41/0.58 ; Trie-index has 178 entries (185 at peak, 232 added, 54 deleted).
% 0.41/0.58 ; Trie-index has 470 nodes (498 at peak, 615 added, 145 deleted).
% 0.41/0.58 ; Retrieved 574 generalization terms in 1,362 calls.
% 0.41/0.58 ; Retrieved 88 instance terms in 80 calls.
% 0.41/0.58 ; Retrieved 4,861 unifiable terms in 1,578 calls.
% 0.41/0.58 ;
% 0.41/0.58 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.41/0.58 ; 4 with value 0
% 0.41/0.58 ; The agenda of rows to process has 2 entries:
% 0.41/0.58 ; 1 with value 18 1 with value 19
% 0.41/0.58 ; The agenda of rows to give has 36 entries:
% 0.41/0.58 ; 2 with value (4 13) 3 with value (4 18) 1 with value (4 24)
% 0.41/0.58 ; 3 with value (4 14) 1 with value (4 19) 2 with value (4 25)
% 0.41/0.58 ; 6 with value (4 15) 2 with value (4 21) 1 with value (4 31)
% 0.41/0.58 ; 10 with value (4 16) 2 with value (4 22) 1 with value (4 32)
% 0.41/0.58 ; 1 with value (4 17) 1 with value (4 23)
% 0.41/0.58 Evaluation took:
% 0.41/0.58 0.085 seconds of real time
% 0.41/0.58 0.069759 seconds of user run time
% 0.41/0.58 0.014932 seconds of system run time
% 0.41/0.58 0 calls to %EVAL
% 0.41/0.58 0 page faults and
% 0.41/0.58 7,394,656 bytes consed.
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:17:01
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 *
%------------------------------------------------------------------------------