%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYP116_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : 300s
% DateTime : Tue May 5 07:14:57 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.49s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 2 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 23 ( 23 fml; 0 var)
% Number arithmetic : 21 ( 9 atm; 0 fun; 10 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff('SOLVE-$$LESS-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $less(X,Y)
| ~ '$$$LESS'(X,Y) ) ).
tff('SOLVE-$$GREATEREQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greatereq(X,Y)
| '$$$LESS'(X,Y) ) ).
tff(13,axiom,
( ~ $greatereq(npa,0)
| ~ p(npa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(14,axiom,
( ~ $greatereq(npb,0)
| p(npb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(15,axiom,
( ~ $less(npa,0)
| ~ q(npa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(16,axiom,
( ~ $less(npb,0)
| q(npb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(17,axiom,
! [X: $int] :
( ( npa = npb )
| ~ r(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(18,axiom,
! [X: $int] : r(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(19,plain,
npa = npb,
inference('REWRITE',[status(thm)],[17,18]) ).
tff(20,plain,
( ~ $greatereq(npa,0)
| p(npa) ),
inference('REWRITE',[status(thm)],[14,19,theory(equality)]) ).
tff(21,plain,
( ~ $less(npa,0)
| q(npa) ),
inference('REWRITE',[status(thm)],[16,19,theory(equality)]) ).
tff(22,plain,
( ~ '$$$LESS'(npa,0)
| q(npa) ),
inference('HYPERRESOLVE',[status(thm)],[21,'SOLVE-$$LESS-BY-$$$LESS']) ).
tff(23,plain,
( '$$$LESS'(npa,0)
| p(npa) ),
inference('HYPERRESOLVE',[status(thm)],[20,'SOLVE-$$GREATEREQ-BY-$$$LESS']) ).
tff(24,plain,
~ '$$$LESS'(npa,0),
inference('HYPERRESOLVE',[status(thm)],[15,22,'SOLVE-$$LESS-BY-$$$LESS']) ).
tff(25,plain,
p(npa),
inference('REWRITE',[status(thm)],[23,24]) ).
tff(26,plain,
~ $greatereq(npa,0),
inference('REWRITE',[status(thm)],[13,25]) ).
cnf(27,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,'SOLVE-$$GREATEREQ-BY-$$$LESS']),24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYP116_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 17:52:15 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-04T17:52:15
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2026-05-04T17:52:15
% 0.29/0.49
% 0.29/0.49
% 0.29/0.49 #||
% 0.29/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/0.49 % SZS output start Refutation
% See solution above
% 0.29/0.49 ||#
% 0.29/0.49
% 0.29/0.49 ; Summary of computation:
% 0.29/0.49 ; 41 formulas have been input or derived (from 21 formulas).
% 0.29/0.49 ; 27 (66%) were retained. Of these,
% 0.29/0.49 ; 7 (26%) were simplified or subsumed later,
% 0.29/0.49 ; 20 (74%) are still being kept.
% 0.29/0.49 ;
% 0.29/0.49 ; Run time in seconds excluding printing time:
% 0.29/0.49 ; 0.001 4% Read assertion file (1 call)
% 0.29/0.49 ; 0.001 4% Assert (6 calls)
% 0.29/0.49 ; 0.000 0% Process new row (38 calls)
% 0.29/0.49 ; 0.000 0% Resolution (40 calls)
% 0.29/0.49 ; 0.000 0% Paramodulation (20 calls)
% 0.29/0.49 ; 0.000 0% Factoring (5 calls)
% 0.29/0.49 ; 0.000 0% Condensing (17 calls)
% 0.29/0.49 ; 0.000 0% Forward subsumption (17 calls)
% 0.29/0.49 ; 0.002 7% Backward subsumption (17 calls)
% 0.29/0.49 ; 0.003 11% Forward simplification (38 calls)
% 0.29/0.49 ; 0.000 0% Backward simplification (27 calls)
% 0.29/0.49 ; 0.000 0% Ordering (5 calls)
% 0.29/0.49 ; 0.001 4% Sortal reasoning (46 calls)
% 0.29/0.49 ; 0.000 0% Purity testing (1 call)
% 0.29/0.49 ; 0.020 71% Other
% 0.29/0.49 ; 0.028 Total
% 0.29/0.49 ; 0.032 Real time
% 0.29/0.49 ;
% 0.29/0.49 ; Term-hash-array has 21 terms in all.
% 0.29/0.49 ; Feature-vector-row-index has 10 entries (14 at peak, 17 added, 7 deleted).
% 0.29/0.49 ; Feature-vector-row-index has 24 nodes (44 at peak, 60 added, 36 deleted).
% 0.29/0.49 ; Retrieved 0 possibly forward subsuming rows in 17 calls.
% 0.29/0.49 ; Retrieved 0 possibly backward subsumed rows in 17 calls.
% 0.29/0.49 ; Path-index has 20 entries (23 at peak, 28 added, 8 deleted).
% 0.29/0.49 ; Path-index has 44 nodes (46 at peak, 54 added, 10 deleted).
% 0.29/0.49 ; Trie-index has 20 entries (23 at peak, 28 added, 8 deleted).
% 0.29/0.49 ; Trie-index has 34 nodes (38 at peak, 47 added, 13 deleted).
% 0.29/0.49 ; Retrieved 20 generalization terms in 20 calls.
% 0.29/0.49 ; Retrieved 9 instance terms in 9 calls.
% 0.29/0.49 ; Retrieved 74 unifiable terms in 66 calls.
% 0.29/0.49 ;
% 0.29/0.49 ; The agenda of rows to give has 2 entries:
% 0.29/0.49 ; 1 with value (4 4) 1 with value (4 6)
% 0.29/0.49 Evaluation took:
% 0.29/0.49 0.032 seconds of real time
% 0.29/0.49 0.027787 seconds of user run time
% 0.29/0.49 0.003885 seconds of system run time
% 0.29/0.49 0 calls to %EVAL
% 0.29/0.49 0 page faults and
% 0.29/0.49 2,316,960 bytes consed.
% 0.29/0.49 :PROOF-FOUND
% 0.29/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-04T17:52:15
% 0.29/0.49 :PROOF-FOUND
% 0.29/0.49 *
%------------------------------------------------------------------------------