%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN015-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 : Thu Jul 21 11:56:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 14 unt; 5 nHn; 22 RR)
% Number of literals : 45 ( 0 equ; 19 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivityish,axiom,
equalish(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivityish) ).
cnf(transitivityish,axiom,
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivityish) ).
cnf(element_substitutionish1,axiom,
( ~ equalish(X,Y)
| ~ element(Z,X)
| element(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitutionish1) ).
cnf(c_5,negated_conjecture,
( ~ equalish(f(X),m)
| ~ element(X,m)
| equalish(X,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).
cnf(c_6,negated_conjecture,
( ~ equalish(f(X),X)
| ~ element(X,m)
| equalish(X,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_6) ).
cnf(c_7,negated_conjecture,
( element(X,f(X))
| ~ element(X,m)
| equalish(X,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_7) ).
cnf(c_8,negated_conjecture,
( element(f(X),X)
| ~ element(X,m)
| equalish(X,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_8) ).
cnf(c_9,negated_conjecture,
( ~ element(X,Y)
| ~ element(Y,X)
| equalish(X,Y)
| equalish(X,m)
| element(Y,m)
| equalish(Y,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).
cnf(c_16,negated_conjecture,
( ~ equalish(X,n)
| element(X,k)
| equalish(X,k) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
cnf(c_17,negated_conjecture,
( ~ element(X,k)
| equalish(X,n)
| equalish(X,m)
| equalish(X,k) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_17) ).
cnf(c_19,negated_conjecture,
~ equalish(m,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_19) ).
cnf(c_20,negated_conjecture,
~ equalish(n,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_20) ).
cnf(c_23,negated_conjecture,
equalish(m,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_23) ).
cnf(29,plain,
element(n,k),
inference('UR-RESOLVE',[status(thm)],[c_16,reflexivityish,c_20]) ).
cnf(44,plain,
element(n,m),
inference('HYPERRESOLVE',[status(thm)],[element_substitutionish1,29,c_23]) ).
cnf(48,plain,
element(f(n),n),
inference('UR-RESOLVE',[status(thm)],[c_8,44,c_19]) ).
cnf(49,plain,
element(n,f(n)),
inference('UR-RESOLVE',[status(thm)],[c_7,44,c_19]) ).
cnf(50,plain,
~ equalish(f(n),n),
inference('UR-RESOLVE',[status(thm)],[c_6,44,c_19]) ).
cnf(51,plain,
~ equalish(f(n),m),
inference('UR-RESOLVE',[status(thm)],[c_5,44,c_19]) ).
cnf(59,plain,
element(f(n),m),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[c_9,49,48]),51,c_19,50]) ).
cnf(60,plain,
~ equalish(f(n),k),
inference('UR-RESOLVE',[status(thm)],[transitivityish,51,c_23]) ).
cnf(61,plain,
element(f(n),k),
inference('HYPERRESOLVE',[status(thm)],[element_substitutionish1,59,c_23]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[c_17,60,50,51]),61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN015-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 04:52:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:52:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-12T04:52:08
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.19/0.52 ; Declaring equalish to be commutative.
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 269 formulas have been input or derived (from 40 formulas).
% 0.19/0.53 ; 67 (25%) were retained. Of these,
% 0.19/0.53 ; 2 ( 3%) were simplified or subsumed later,
% 0.19/0.53 ; 65 (97%) 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 9% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (26 calls)
% 0.19/0.53 ; 0.006 11% Process new row (225 calls)
% 0.19/0.53 ; 0.007 12% Resolution (78 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (39 calls)
% 0.19/0.53 ; 0.000 0% Factoring (2 calls)
% 0.19/0.53 ; 0.001 2% Condensing (79 calls)
% 0.19/0.53 ; 0.003 5% Forward subsumption (79 calls)
% 0.19/0.53 ; 0.002 4% Backward subsumption (39 calls)
% 0.19/0.53 ; 0.001 2% Clause clause subsumption (106 calls)
% 0.19/0.53 ; 0.005 9% Forward simplification (225 calls)
% 0.19/0.53 ; 0.000 0% Backward simplification (67 calls)
% 0.19/0.53 ; 0.000 0% Ordering (71 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 45% Other
% 0.19/0.53 ; 0.056 Total
% 0.19/0.53 ; 0.059 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 79 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 37 entries (37 at peak, 39 added, 2 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 97 nodes (97 at peak, 101 added, 4 deleted).
% 0.19/0.53 ; Retrieved 123 possibly forward subsuming rows in 79 calls.
% 0.19/0.53 ; Retrieved 24 possibly backward subsumed rows in 39 calls.
% 0.19/0.53 ; Path-index has 83 entries (83 at peak, 83 added, 0 deleted).
% 0.19/0.53 ; Path-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 83 entries (83 at peak, 83 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 119 nodes (119 at peak, 119 added, 0 deleted).
% 0.19/0.53 ; Retrieved 253 generalization terms in 449 calls.
% 0.19/0.53 ; Retrieved 27 instance terms in 27 calls.
% 0.19/0.53 ; Retrieved 4,682 unifiable terms in 689 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 7 entries:
% 0.19/0.53 ; 7 with value 11
% 0.19/0.53 ; The agenda of rows to give has 25 entries:
% 0.19/0.53 ; 8 with value (4 11) 2 with value (4 16) 2 with value (4 24)
% 0.19/0.53 ; 1 with value (4 13) 2 with value (4 17) 3 with value (4 25)
% 0.19/0.53 ; 3 with value (4 14) 4 with value (4 20)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.059 seconds of real time
% 0.19/0.53 0.047439 seconds of user run time
% 0.19/0.53 0.011706 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 3,832,136 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:52:08
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------