TSTP Solution File: NUN055+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN055+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 16:38:13 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 31 ( 27 unt; 0 nHn; 6 RR)
% Number of literals : 42 ( 15 equ; 12 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 8 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(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(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(33,negated_conjecture,
( ~ r2(X,Y)
| ~ r1(Z)
| ~ r2(Z,X)
| ~ r1(U)
| ~ r3(U,Y,V)
| V != W
| ~ r2(X1,W)
| ~ r1(Y1)
| ~ r2(Y1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplustwoeqtwo) ).
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(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(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(87,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[33,47,38,47,38,62,47,38,theory(equality)]),47,57,65,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUN055+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n019.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 04:43:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 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 2022-06-02T04:43:25
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-02T04:43:25
% 0.21/0.51
% 0.21/0.55 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 180 formulas have been input or derived (from 39 formulas).
% 0.21/0.55 ; 87 (48%) were retained. Of these,
% 0.21/0.55 ; 30 (34%) were simplified or subsumed later,
% 0.21/0.55 ; 57 (66%) are still being kept.
% 0.21/0.55 ;
% 0.21/0.55 ; Run time in seconds excluding printing time:
% 0.21/0.55 ; 0.006 12% Read assertion file (1 call)
% 0.21/0.55 ; 0.002 4% Assert (12 calls)
% 0.21/0.55 ; 0.004 8% Process new row (145 calls)
% 0.21/0.55 ; 0.004 8% Resolution (76 calls)
% 0.21/0.55 ; 0.000 0% Paramodulation (38 calls)
% 0.21/0.55 ; 0.000 0% Factoring (4 calls)
% 0.21/0.55 ; 0.001 2% Condensing (41 calls)
% 0.21/0.55 ; 0.000 0% Forward subsumption (41 calls)
% 0.21/0.55 ; 0.001 2% Backward subsumption (32 calls)
% 0.21/0.55 ; 0.002 4% Clause clause subsumption (27 calls)
% 0.21/0.55 ; 0.004 8% Forward simplification (138 calls)
% 0.21/0.55 ; 0.002 4% Backward simplification (86 calls)
% 0.21/0.55 ; 0.000 0% Ordering (108 calls)
% 0.21/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.55 ; 0.000 0% Purity testing (1 call)
% 0.21/0.55 ; 0.024 48% Other
% 0.21/0.55 ; 0.050 Total
% 0.21/0.55 ; 0.054 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 155 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 26 entries (26 at peak, 32 added, 6 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 85 nodes (85 at peak, 107 added, 22 deleted).
% 0.21/0.55 ; Retrieved 64 possibly forward subsuming rows in 41 calls.
% 0.21/0.55 ; Retrieved 7 possibly backward subsumed rows in 32 calls.
% 0.21/0.55 ; Path-index has 119 entries (119 at peak, 165 added, 46 deleted).
% 0.21/0.55 ; Path-index has 365 nodes (365 at peak, 426 added, 61 deleted).
% 0.21/0.55 ; Trie-index has 119 entries (119 at peak, 165 added, 46 deleted).
% 0.21/0.55 ; Trie-index has 290 nodes (290 at peak, 405 added, 115 deleted).
% 0.21/0.55 ; Retrieved 46 generalization terms in 262 calls.
% 0.21/0.55 ; Retrieved 60 instance terms in 53 calls.
% 0.21/0.55 ; Retrieved 2,023 unifiable terms in 495 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of rows to process has 9 entries:
% 0.21/0.55 ; 1 with value 11 2 with value 13 2 with value 15
% 0.21/0.55 ; 1 with value 12 3 with value 14
% 0.21/0.55 ; The agenda of rows to give has 28 entries:
% 0.21/0.55 ; 1 with value (4 5) 2 with value (4 10) 2 with value (4 18)
% 0.21/0.55 ; 1 with value (4 6) 2 with value (4 12) 2 with value (4 22)
% 0.21/0.55 ; 5 with value (4 7) 4 with value (4 13) 1 with value (4 24)
% 0.21/0.55 ; 2 with value (4 8) 1 with value (4 15) 1 with value (4 25)
% 0.21/0.55 ; 2 with value (4 9) 2 with value (4 16)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.054 seconds of real time
% 0.21/0.55 0.044085 seconds of user run time
% 0.21/0.55 0.009755 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 4,356,376 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:43:25
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------