%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ134_2 : TPTP v8.1.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 18:26:55 EDT 2022
% Result : Theorem 0.86s 1.03s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 141 ( 22 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 38 ( 17 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 96 ( 96 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(21,axiom,
! [X: knowheyan] :
( ( X = a )
| ( X = b )
| ( X = c )
| ( X = d )
| ( X = e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_knowheyans) ).
tff(25,axiom,
! [X: age,Y: age,Z: age] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_transitive) ).
tff(26,axiom,
! [X: age,Y: age] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_irreflexive) ).
tff(28,axiom,
! [X: age,Y: age] :
( ( X != Y )
| ~ greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_greater) ).
tff(30,axiom,
greater(age_of(a),age_of(d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_info1) ).
tff(31,axiom,
greater(age_of(d),age_of(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_info2) ).
tff(33,axiom,
greater(age_of(b),age_of(c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_info4) ).
tff(36,axiom,
greater(age_of(c),age_of('SKOLEMAAAV1.knowheyan')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_youngest) ).
tff(37,negated_conjecture,
( ~ greater(age_of(a),age_of(d))
| ~ greater(age_of(d),age_of(b))
| ~ greater(age_of(b),age_of(c))
| ~ greater(age_of(c),age_of(e)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_order) ).
tff(38,plain,
~ greater(age_of(c),age_of(e)),
inference('REWRITE',[status(thm)],[37,33,31,30]) ).
tff(41,plain,
~ greater(age_of(c),age_of(b)),
inference('UR-RESOLVE',[status(thm)],[26,33]) ).
tff(43,plain,
! [X: age] : ~ greater(X,X),
inference('UR-RESOLVE',[status(thm)],[28,theory(equality)]) ).
tff(44,plain,
age_of(c) != age_of('SKOLEMAAAV1.knowheyan'),
inference('UR-RESOLVE',[status(thm)],[28,36]) ).
tff(65,plain,
greater(age_of(a),age_of(b)),
inference('HYPERRESOLVE',[status(thm)],[25,30,31]) ).
tff(66,plain,
greater(age_of(b),age_of('SKOLEMAAAV1.knowheyan')),
inference('HYPERRESOLVE',[status(thm)],[25,33,36]) ).
tff(83,plain,
! [X: knowheyan] :
( ( X = a )
| ( X = b )
| ( X = c )
| ( X = d )
| ~ greater(age_of(c),age_of(X)) ),
inference('PARAMODULATE',[status(thm)],[38,21,theory(equality)]) ).
tff(93,plain,
~ greater(age_of(c),age_of(a)),
inference('UR-RESOLVE',[status(thm)],[25,65,41]) ).
tff(96,plain,
greater(age_of(d),age_of('SKOLEMAAAV1.knowheyan')),
inference('HYPERRESOLVE',[status(thm)],[25,66,31]) ).
tff(98,plain,
age_of(b) != age_of('SKOLEMAAAV1.knowheyan'),
inference('UR-RESOLVE',[status(thm)],[28,66]) ).
tff(436,plain,
( ( 'SKOLEMAAAV1.knowheyan' = a )
| ( 'SKOLEMAAAV1.knowheyan' = b )
| ( 'SKOLEMAAAV1.knowheyan' = c )
| ( 'SKOLEMAAAV1.knowheyan' = d ) ),
inference('HYPERRESOLVE',[status(thm)],[83,36]) ).
tff(439,plain,
( ( 'SKOLEMAAAV1.knowheyan' = a )
| ( 'SKOLEMAAAV1.knowheyan' = b )
| ( 'SKOLEMAAAV1.knowheyan' = c ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,436,theory(equality)]),43]) ).
tff(440,plain,
( ( 'SKOLEMAAAV1.knowheyan' = a )
| ( 'SKOLEMAAAV1.knowheyan' = b ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[44,439,theory(equality)]),theory(equality)]) ).
tff(442,plain,
'SKOLEMAAAV1.knowheyan' = a,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[98,440,theory(equality)]),theory(equality)]) ).
cnf(443,plain,
$false,
inference('REWRITE',[status(thm)],[36,93,442,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ134_2 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 21:09:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T21:09:09
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-28T21:09:09
% 0.86/1.03
% 0.86/1.03
% 0.86/1.03 #||
% 0.86/1.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.03 % SZS output start Refutation
% See solution above
% 0.86/1.04 ||#
% 0.86/1.04
% 0.86/1.04 ; Summary of computation:
% 0.86/1.04 ; 3851 formulas have been input or derived (from 126 formulas).
% 0.86/1.04 ; 443 (12%) were retained. Of these,
% 0.86/1.04 ; 169 (38%) were simplified or subsumed later,
% 0.86/1.04 ; 274 (62%) are still being kept.
% 0.86/1.04 ;
% 0.86/1.04 ; Run time in seconds excluding printing time:
% 0.86/1.04 ; 0.007 1% Read assertion file (1 call)
% 0.86/1.04 ; 0.000 0% Assert (36 calls)
% 0.86/1.04 ; 0.039 7% Process new row (3,423 calls)
% 0.86/1.04 ; 0.078 14% Resolution (250 calls)
% 0.86/1.04 ; 0.002 0% Paramodulation (125 calls)
% 0.86/1.04 ; 0.000 0% Factoring (38 calls)
% 0.86/1.04 ; 0.032 6% Condensing (1,071 calls)
% 0.86/1.04 ; 0.058 10% Forward subsumption (1,071 calls)
% 0.86/1.04 ; 0.016 3% Backward subsumption (363 calls)
% 0.86/1.04 ; 0.212 37% Clause clause subsumption (4,519 calls)
% 0.86/1.04 ; 0.064 11% Forward simplification (3,383 calls)
% 0.86/1.04 ; 0.005 1% Backward simplification (442 calls)
% 0.86/1.04 ; 0.018 3% Ordering (7,334 calls)
% 0.86/1.04 ; 0.001 0% Sortal reasoning (1,307 calls)
% 0.86/1.04 ; 0.001 0% Purity testing (1 call)
% 0.86/1.04 ; 0.039 7% Other
% 0.86/1.04 ; 0.572 Total
% 0.86/1.04 ; 0.574 Real time
% 0.86/1.04 ;
% 0.86/1.04 ; Term-hash-array has 215 terms in all.
% 0.86/1.04 ; Feature-vector-row-index has 212 entries (359 at peak, 363 added, 151 deleted).
% 0.86/1.04 ; Feature-vector-row-index has 728 nodes (946 at peak, 978 added, 250 deleted).
% 0.86/1.04 ; Retrieved 9,671 possibly forward subsuming rows in 1,071 calls.
% 0.86/1.04 ; Retrieved 963 possibly backward subsumed rows in 363 calls.
% 0.86/1.04 ; Path-index has 190 entries (226 at peak, 232 added, 42 deleted).
% 0.86/1.04 ; Path-index has 72 nodes (78 at peak, 80 added, 8 deleted).
% 0.86/1.04 ; Trie-index has 190 entries (226 at peak, 232 added, 42 deleted).
% 0.86/1.04 ; Trie-index has 178 nodes (213 at peak, 222 added, 44 deleted).
% 0.86/1.04 ; Retrieved 9,777 generalization terms in 13,196 calls.
% 0.86/1.04 ; Retrieved 94 instance terms in 78 calls.
% 0.86/1.04 ; Retrieved 26,195 unifiable terms in 2,896 calls.
% 0.86/1.04 ;
% 0.86/1.04 ; The agenda of backward simplifiable rows to process has 161 entries:
% 0.86/1.04 ; 161 with value 0
% 0.86/1.04 ; The agenda of rows to process has 22 entries:
% 0.86/1.04 ; 8 with value 16 1 with value 17 13 with value 27
% 0.86/1.04 ; The agenda of rows to give has 182 entries:
% 0.86/1.04 ; 1 with value (4 9) 11 with value (4 31) 16 with value (4 39)
% 0.86/1.04 ; 1 with value (4 25) 1 with value (4 32) 12 with value (4 40)
% 0.86/1.04 ; 19 with value (4 28) 19 with value (4 36) 8 with value (4 41)
% 0.86/1.04 ; 12 with value (4 29) 28 with value (4 37) 3 with value (4 42)
% 0.86/1.04 ; 21 with value (4 30) 30 with value (4 38)
% 0.86/1.04 Evaluation took:
% 0.86/1.04 0.575 seconds of real time
% 0.86/1.04 0.533667 seconds of user run time
% 0.86/1.04 0.040755 seconds of system run time
% 0.86/1.04 [Run times include 0.022 seconds GC run time.]
% 0.86/1.04 0 calls to %EVAL
% 0.86/1.04 0 page faults and
% 0.86/1.04 70,554,680 bytes consed.
% 0.86/1.04 :PROOF-FOUND
% 0.86/1.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T21:09:09
% 0.86/1.04 :PROOF-FOUND
% 0.86/1.04 *
%------------------------------------------------------------------------------