%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of clauses : 46 ( 42 unt; 0 nHn; 22 RR)
% Number of literals : 51 ( 21 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 8 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(9,axiom,
r2(X,'SKOLEMAAAV7'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(10,axiom,
r3(X,'SKOLEMAAAV7'(Y,X),'SKOLEMAAAV6'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(11,axiom,
'SKOLEMAAAV6'(X,Y) = 'SKOLEMAAAV5'(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(12,axiom,
r2('SKOLEMAAAV8'(X,Y),'SKOLEMAAAV5'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(13,axiom,
r3(X,Y,'SKOLEMAAAV8'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAV11'(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(32,axiom,
( ~ r1(X)
| X != Y
| ~ r2(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
cnf(33,negated_conjecture,
r1('SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
cnf(34,negated_conjecture,
r3('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
cnf(35,negated_conjecture,
r1('SKOLEMAAAV24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
cnf(36,negated_conjecture,
r2('SKOLEMAAAV24','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
cnf(37,negated_conjecture,
'SKOLEMAAAV21' = 'SKOLEMAAAV25',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
cnf(38,negated_conjecture,
r1('SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
cnf(39,plain,
r1('SKOLEMAAAV21'),
inference('REWRITE',[status(thm)],[38,37,theory(equality)]) ).
cnf(41,plain,
r3(X,'SKOLEMAAAV14'(X),X),
inference('REWRITE',[status(thm)],[22,23,theory(equality)]) ).
cnf(42,plain,
r3(X,'SKOLEMAAAV7'(Y,X),'SKOLEMAAAV5'(Y,X)),
inference('REWRITE',[status(thm)],[10,11,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAV24' = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,35]) ).
cnf(44,plain,
r1('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[35,43,theory(equality)]) ).
cnf(45,plain,
r2('SKOLEMAAAV1','SKOLEMAAAV22'),
inference('REWRITE',[status(thm)],[36,43,theory(equality)]) ).
cnf(46,plain,
'SKOLEMAAAV23' = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,33]) ).
cnf(47,plain,
r3('SKOLEMAAAV1','SKOLEMAAAV22','SKOLEMAAAV21'),
inference('REWRITE',[status(thm)],[34,46,theory(equality)]) ).
cnf(48,plain,
'SKOLEMAAAV21' = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,39]) ).
cnf(50,plain,
r3('SKOLEMAAAV1','SKOLEMAAAV22','SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[47,48,theory(equality)]) ).
cnf(56,plain,
'SKOLEMAAAV14'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,21]) ).
cnf(57,plain,
r3(X,'SKOLEMAAAV1',X),
inference('REWRITE',[status(thm)],[41,56,theory(equality)]) ).
cnf(58,plain,
'SKOLEMAAAV22' = 'SKOLEMAAAV2'('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[3,45]) ).
cnf(59,plain,
'SKOLEMAAAV11'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(61,plain,
r2(X,'SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[14,59,theory(equality)]) ).
cnf(62,plain,
'SKOLEMAAAV7'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,9]) ).
cnf(63,plain,
r3(X,'SKOLEMAAAV2'(Y),'SKOLEMAAAV5'(Y,X)),
inference('REWRITE',[status(thm)],[42,62,theory(equality)]) ).
cnf(64,plain,
'SKOLEMAAAV5'(X,Y) = 'SKOLEMAAAV2'('SKOLEMAAAV8'(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,12]) ).
cnf(71,plain,
'SKOLEMAAAV1' != 'SKOLEMAAAV2'(X),
inference('UR-RESOLVE',[status(thm)],[32,44,61]) ).
cnf(73,plain,
'SKOLEMAAAV1' = 'SKOLEMAAAV3'('SKOLEMAAAV1','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[5,50]) ).
cnf(74,plain,
X = 'SKOLEMAAAV3'(X,'SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[5,57]) ).
cnf(75,plain,
'SKOLEMAAAV8'(X,Y) = 'SKOLEMAAAV3'(Y,X),
inference('HYPERRESOLVE',[status(thm)],[5,13]) ).
cnf(78,plain,
'SKOLEMAAAV5'(X,Y) = 'SKOLEMAAAV2'('SKOLEMAAAV3'(Y,X)),
inference('REWRITE',[status(thm)],[64,75,theory(equality)]) ).
cnf(79,plain,
r3(X,'SKOLEMAAAV2'(Y),'SKOLEMAAAV2'('SKOLEMAAAV3'(X,Y))),
inference('REWRITE',[status(thm)],[63,78,theory(equality)]) ).
cnf(110,plain,
r3(X,'SKOLEMAAAV22','SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,58,theory(equality)]),74,theory(equality)]) ).
cnf(123,plain,
'SKOLEMAAAV2'(X) = 'SKOLEMAAAV3'(X,'SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[5,110]) ).
cnf(124,plain,
$false,
inference('REWRITE',[status(thm)],[73,71,123,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 07:21:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T07:21:53
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-02T07:21:53
% 0.19/0.48
% 0.19/0.52 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.53 ; 397 formulas have been input or derived (from 70 formulas).
% 0.19/0.53 ; 124 (31%) were retained. Of these,
% 0.19/0.53 ; 39 (31%) were simplified or subsumed later,
% 0.19/0.53 ; 85 (69%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.005 8% Read assertion file (1 call)
% 0.19/0.53 ; 0.002 3% Assert (12 calls)
% 0.19/0.53 ; 0.009 15% Process new row (320 calls)
% 0.19/0.53 ; 0.007 12% Resolution (138 calls)
% 0.19/0.53 ; 0.002 3% Paramodulation (69 calls)
% 0.19/0.53 ; 0.000 0% Factoring (4 calls)
% 0.19/0.53 ; 0.002 3% Condensing (47 calls)
% 0.19/0.53 ; 0.001 2% Forward subsumption (47 calls)
% 0.19/0.53 ; 0.001 2% Backward subsumption (36 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (29 calls)
% 0.19/0.53 ; 0.005 8% Forward simplification (310 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (122 calls)
% 0.19/0.53 ; 0.000 0% Ordering (190 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.025 42% Other
% 0.19/0.53 ; 0.060 Total
% 0.19/0.53 ; 0.064 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 195 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 30 entries (30 at peak, 36 added, 6 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 98 nodes (98 at peak, 120 added, 22 deleted).
% 0.19/0.53 ; Retrieved 68 possibly forward subsuming rows in 47 calls.
% 0.19/0.53 ; Retrieved 8 possibly backward subsumed rows in 36 calls.
% 0.19/0.53 ; Path-index has 155 entries (157 at peak, 211 added, 56 deleted).
% 0.19/0.53 ; Path-index has 412 nodes (414 at peak, 488 added, 76 deleted).
% 0.19/0.53 ; Trie-index has 155 entries (157 at peak, 211 added, 56 deleted).
% 0.19/0.53 ; Trie-index has 370 nodes (375 at peak, 503 added, 133 deleted).
% 0.19/0.53 ; Retrieved 252 generalization terms in 625 calls.
% 0.19/0.53 ; Retrieved 93 instance terms in 85 calls.
% 0.19/0.53 ; Retrieved 2,981 unifiable terms in 864 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to give has 32 entries:
% 0.19/0.53 ; 1 with value (4 8) 3 with value (4 12) 2 with value (4 18)
% 0.19/0.53 ; 1 with value (4 9) 5 with value (4 13) 2 with value (4 22)
% 0.19/0.53 ; 8 with value (4 10) 1 with value (4 15) 1 with value (4 24)
% 0.19/0.53 ; 5 with value (4 11) 2 with value (4 16) 1 with value (4 25)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.065 seconds of real time
% 0.19/0.53 0.061747 seconds of user run time
% 0.19/0.53 0.003741 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 5,429,032 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T07:21:53
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------