TSTP Solution File: NUN086+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 43 ( 34 unt; 0 nHn; 11 RR)
% Number of literals : 56 ( 22 equ; 15 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAV2'(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(5,axiom,
( ~ r3(X,Y,Z)
| Z = 'SKOLEMAAAV3'(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
cnf(7,axiom,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAV4'(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(8,axiom,
( X != 'SKOLEMAAAV4'(Y,Z)
| r4(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAV11'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(15,axiom,
r4(X,'SKOLEMAAAV11'(Y,X),'SKOLEMAAAV10'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(16,axiom,
'SKOLEMAAAV10'(X,Y) = 'SKOLEMAAAV9'(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(17,axiom,
r3('SKOLEMAAAV12'(X,Y),X,'SKOLEMAAAV9'(Y,X)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,axiom,
r1('SKOLEMAAAV14'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(22,axiom,
r3(X,'SKOLEMAAAV14'(X),'SKOLEMAAAV13'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(23,axiom,
'SKOLEMAAAV13'(X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(24,axiom,
r1('SKOLEMAAAV16'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(25,axiom,
r4(X,'SKOLEMAAAV16'(X),'SKOLEMAAAV15'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(26,axiom,
r1('SKOLEMAAAV17'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(27,axiom,
'SKOLEMAAAV15'(X) = 'SKOLEMAAAV17'(X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( ~ r1(X)
| ~ r2(X,Y)
| ~ r1(Z)
| ~ r4(Z,Y,U)
| ~ r1(V)
| U != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimesoneeqzero) ).
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(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(57,plain,
X = 'SKOLEMAAAV3'(X,'SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[5,44]) ).
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(89,plain,
'SKOLEMAAAV10'('SKOLEMAAAV1','SKOLEMAAAV1') != 'SKOLEMAAAV1',
inference('UR-RESOLVE',[status(thm)],[33,38,47,38,46,38]) ).
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(100,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]),100,theory(equality)]) ).
cnf(107,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,106]),89,70,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 06:26:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-02T06:26:22
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-02T06:26:22
% 0.20/0.50
% 0.20/0.55 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 409 formulas have been input or derived (from 65 formulas).
% 0.20/0.56 ; 107 (26%) were retained. Of these,
% 0.20/0.56 ; 30 (28%) were simplified or subsumed later,
% 0.20/0.56 ; 77 (72%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds excluding printing time:
% 0.20/0.56 ; 0.005 8% Read assertion file (1 call)
% 0.20/0.56 ; 0.001 2% Assert (12 calls)
% 0.20/0.56 ; 0.011 17% Process new row (345 calls)
% 0.20/0.56 ; 0.011 17% Resolution (128 calls)
% 0.20/0.56 ; 0.002 3% Paramodulation (64 calls)
% 0.20/0.56 ; 0.000 0% Factoring (4 calls)
% 0.20/0.56 ; 0.001 2% Condensing (45 calls)
% 0.20/0.56 ; 0.001 2% Forward subsumption (45 calls)
% 0.20/0.56 ; 0.001 2% Backward subsumption (36 calls)
% 0.20/0.56 ; 0.001 2% Clause clause subsumption (29 calls)
% 0.20/0.56 ; 0.006 9% Forward simplification (338 calls)
% 0.20/0.56 ; 0.000 0% Backward simplification (106 calls)
% 0.20/0.56 ; 0.000 0% Ordering (163 calls)
% 0.20/0.56 ; 0.002 3% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.000 0% Purity testing (1 call)
% 0.20/0.56 ; 0.023 35% Other
% 0.20/0.56 ; 0.065 Total
% 0.20/0.56 ; 0.070 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 179 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 30 entries (30 at peak, 36 added, 6 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 91 nodes (91 at peak, 113 added, 22 deleted).
% 0.20/0.56 ; Retrieved 65 possibly forward subsuming rows in 45 calls.
% 0.20/0.56 ; Retrieved 8 possibly backward subsumed rows in 36 calls.
% 0.20/0.56 ; Path-index has 143 entries (143 at peak, 189 added, 46 deleted).
% 0.20/0.56 ; Path-index has 431 nodes (431 at peak, 491 added, 60 deleted).
% 0.20/0.56 ; Trie-index has 143 entries (143 at peak, 189 added, 46 deleted).
% 0.20/0.56 ; Trie-index has 377 nodes (377 at peak, 491 added, 114 deleted).
% 0.20/0.56 ; Retrieved 439 generalization terms in 911 calls.
% 0.20/0.56 ; Retrieved 76 instance terms in 69 calls.
% 0.20/0.56 ; Retrieved 4,189 unifiable terms in 1,311 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to give has 22 entries:
% 0.20/0.56 ; 4 with value (4 12) 2 with value (4 15) 2 with value (4 22)
% 0.20/0.56 ; 5 with value (4 13) 4 with value (4 16) 1 with value (4 24)
% 0.20/0.56 ; 1 with value (4 14) 2 with value (4 18) 1 with value (4 25)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.07 seconds of real time
% 0.20/0.56 0.061258 seconds of user run time
% 0.20/0.56 0.009063 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 5,752,632 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T06:26:22
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------