%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PLA060_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:48:48 PM UTC 2026
% Result : Theorem 0.29s 0.50s
% Output : Refutation 0.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')
% Comments :
%------------------------------------------------------------------------------
cnf('$$LESSEQ-IS-REFLEXIVE',axiom,
$lesseq(X,X) ).
cnf('$$GREATEREQ-IS-REFLEXIVE',axiom,
$greatereq(X,X) ).
tff('SOLVE-$$GREATEREQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greatereq(X,Y)
| '$$$LESS'(X,Y) ) ).
tff(14,axiom,
! [X: $int,Y: $int] :
( ~ s0(X,Y)
| ~ $lesseq(X,200)
| s3(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(16,axiom,
! [X: $int,Y: $int,Z: $int] :
( ~ s3(X,Y)
| ~ $lesseq(Z,40)
| ~ $greatereq(Z,0)
| s4(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(19,axiom,
! [X: $int,Y: $int,Z: $int] :
( ~ s4(X,Y)
| ( Z != $sum(X,Y) )
| s0(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(20,negated_conjecture,
! [X: $int,Y: $int] :
( ~ $lesseq(X,200)
| s0(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj1) ).
tff(21,negated_conjecture,
! [X: $int,Y: $int] :
( ~ s0(X,Y)
| ~ $greatereq(X,240) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj1) ).
tff(22,plain,
! [X: $int] : s0(200,X),
inference('HYPERRESOLVE',[status(thm)],[20,'$$LESSEQ-IS-REFLEXIVE']) ).
tff(24,plain,
! [X: $int] : ~ s0(240,X),
inference('UR-RESOLVE',[status(thm)],[21,'$$GREATEREQ-IS-REFLEXIVE']) ).
tff(25,plain,
! [X: $int] : s3(200,X),
inference('HYPERRESOLVE',[status(thm)],[14,22,'$$LESSEQ-IS-REFLEXIVE']) ).
tff(27,plain,
s4(200,40),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,25,'$$LESSEQ-IS-REFLEXIVE','SOLVE-$$GREATEREQ-BY-$$$LESS']),'CODE-FOR-$$$LESS']) ).
cnf(33,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,27,theory(equality)]),24,'CODE-FOR-$$SUM']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PLA060_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n004.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 : Tue May 5 04:50:17 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.29/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.46 *
% 0.29/0.46 *
% 0.29/0.47 #<PACKAGE "SNARK-USER">
% 0.29/0.47 *
% 0.29/0.47 SNARK-TPTP-OPTIONS
% 0.29/0.47 *
% 0.29/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.29/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.29/0.47 (USE-FACTORING :POS)
% 0.29/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.29/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.29/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.29/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.29/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.29/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.29/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.29/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.29/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.29/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.29/0.47 *
% 0.29/0.47 "."
% 0.29/0.47 *
% 0.29/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T04:50:17
% 0.29/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2026-05-05T04:50:17
% 0.29/0.50
% 0.29/0.50
% 0.29/0.50 #||
% 0.29/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.50 % SZS output start Refutation
% See solution above
% 0.29/0.50 ||#
% 0.29/0.50
% 0.29/0.50 ; Summary of computation:
% 0.29/0.50 ; 55 formulas have been input or derived (from 26 formulas).
% 0.29/0.50 ; 33 (60%) were retained. Of these,
% 0.29/0.50 ; 1 ( 3%) were simplified or subsumed later,
% 0.29/0.50 ; 32 (97%) are still being kept.
% 0.29/0.50 ;
% 0.29/0.50 ; Run time in seconds excluding printing time:
% 0.29/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.29/0.50 ; 0.001 3% Assert (7 calls)
% 0.29/0.50 ; 0.002 6% Process new row (49 calls)
% 0.29/0.50 ; 0.001 3% Resolution (50 calls)
% 0.29/0.50 ; 0.000 0% Paramodulation (25 calls)
% 0.29/0.50 ; 0.000 0% Factoring (4 calls)
% 0.29/0.50 ; 0.000 0% Condensing (19 calls)
% 0.29/0.50 ; 0.001 3% Forward subsumption (19 calls)
% 0.29/0.50 ; 0.001 3% Backward subsumption (19 calls)
% 0.29/0.50 ; 0.001 3% Forward simplification (49 calls)
% 0.29/0.50 ; 0.000 0% Backward simplification (32 calls)
% 0.29/0.50 ; 0.000 0% Sortal reasoning (123 calls)
% 0.29/0.50 ; 0.000 0% Purity testing (1 call)
% 0.29/0.50 ; 0.022 69% Other
% 0.29/0.50 ; 0.032 Total
% 0.29/0.50 ; 0.035 Real time
% 0.29/0.50 ;
% 0.29/0.50 ; Term-hash-array has 40 terms in all.
% 0.29/0.50 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.29/0.50 ; Feature-vector-row-index has 53 nodes (53 at peak, 53 added, 0 deleted).
% 0.29/0.50 ; Retrieved 1 possibly forward subsuming row in 19 calls.
% 0.29/0.50 ; Retrieved 0 possibly backward subsumed rows in 19 calls.
% 0.29/0.50 ; Path-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.29/0.50 ; Path-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.29/0.50 ; Trie-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.29/0.50 ; Trie-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.29/0.50 ; Retrieved 25 generalization terms in 32 calls.
% 0.29/0.50 ; Retrieved 12 instance terms in 12 calls.
% 0.29/0.50 ; Retrieved 180 unifiable terms in 124 calls.
% 0.29/0.50 ;
% 0.29/0.50 ; The agenda of rows to process has 2 entries:
% 0.29/0.50 ; 2 with value 11
% 0.29/0.50 ; The agenda of rows to give has 6 entries:
% 0.29/0.50 ; 3 with value (4 7) 1 with value (4 9) 2 with value (4 15)
% 0.29/0.50 Evaluation took:
% 0.29/0.50 0.035 seconds of real time
% 0.29/0.50 0.029885 seconds of user run time
% 0.29/0.50 0.005166 seconds of system run time
% 0.29/0.50 0 calls to %EVAL
% 0.29/0.50 0 page faults and
% 0.29/0.50 2,362,136 bytes consed.
% 0.29/0.50 :PROOF-FOUND
% 0.29/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T04:50:17
% 0.29/0.50 :PROOF-FOUND
% 0.29/0.50 *
%------------------------------------------------------------------------------