%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 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 : Sun Apr 6 10:09:21 AM UTC 2025
% Result : Theorem 0.85s 1.08s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 26 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 19 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 40 ( 40 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(26,axiom,
! [X: general,Y: general] :
( p__less_equal__(X,Y)
| p__less_equal__(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',strongly_connected_ordering_ax) ).
tff(29,axiom,
! [X: general,Y: general] :
( p__less__(X,Y)
| ~ p__less_equal__(X,Y)
| ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',p__less__def_ax) ).
tff(53,axiom,
! [X: general,Y: general,Z: general,U: general,V: general,W: general,X1: general,Y1: general,Z1: general,U1: general,V1: general] :
( ( X != Y )
| ( Z != U )
| ~ p__less__(X,Z)
| ( V != Y )
| ~ in_cover(V)
| ( W != U )
| ~ in_cover(W)
| ( X1 != Y1 )
| ( Z1 != Y )
| ~ s(X1,Z1)
| ( U1 != Y1 )
| ( V1 != U )
| ~ s(U1,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3_constraint_0) ).
tff(60,negated_conjecture,
'SKOLEMAAAV19.general' = 'SKOLEMAAAV16.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(61,negated_conjecture,
'SKOLEMAAAV20.general' = 'SKOLEMAAAV17.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(62,negated_conjecture,
'SKOLEMAAAV19.general' != 'SKOLEMAAAV20.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(63,plain,
'SKOLEMAAAV16.general' != 'SKOLEMAAAV17.general',
inference('REWRITE',[status(thm)],[62,61,60,theory(equality)]) ).
tff(64,negated_conjecture,
'SKOLEMAAAV21.general' = 'SKOLEMAAAV16.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(65,negated_conjecture,
in_cover('SKOLEMAAAV21.general'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(66,plain,
in_cover('SKOLEMAAAV16.general'),
inference('REWRITE',[status(thm)],[65,64,theory(equality)]) ).
tff(67,negated_conjecture,
'SKOLEMAAAV22.general' = 'SKOLEMAAAV17.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(68,negated_conjecture,
in_cover('SKOLEMAAAV22.general'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(69,plain,
in_cover('SKOLEMAAAV17.general'),
inference('REWRITE',[status(thm)],[68,67,theory(equality)]) ).
tff(70,negated_conjecture,
'SKOLEMAAAV23.general' = 'SKOLEMAAAV18.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(71,negated_conjecture,
'SKOLEMAAAV24.general' = 'SKOLEMAAAV16.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(72,negated_conjecture,
s('SKOLEMAAAV23.general','SKOLEMAAAV24.general'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(73,plain,
s('SKOLEMAAAV18.general','SKOLEMAAAV16.general'),
inference('REWRITE',[status(thm)],[72,71,70,theory(equality)]) ).
tff(74,negated_conjecture,
'SKOLEMAAAV25.general' = 'SKOLEMAAAV18.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(75,negated_conjecture,
'SKOLEMAAAV26.general' = 'SKOLEMAAAV17.general',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(76,negated_conjecture,
s('SKOLEMAAAV25.general','SKOLEMAAAV26.general'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).
tff(77,plain,
s('SKOLEMAAAV18.general','SKOLEMAAAV17.general'),
inference('REWRITE',[status(thm)],[76,75,74,theory(equality)]) ).
tff(110,plain,
~ p__less__('SKOLEMAAAV17.general','SKOLEMAAAV16.general'),
inference('UR-RESOLVE',[status(thm)],[53,69,66,77,73,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]) ).
tff(111,plain,
~ p__less__('SKOLEMAAAV16.general','SKOLEMAAAV17.general'),
inference('UR-RESOLVE',[status(thm)],[53,66,69,73,77,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]) ).
tff(130,plain,
~ p__less_equal__('SKOLEMAAAV17.general','SKOLEMAAAV16.general'),
inference('UR-RESOLVE',[status(thm)],[29,110,63]) ).
tff(131,plain,
~ p__less_equal__('SKOLEMAAAV16.general','SKOLEMAAAV17.general'),
inference('UR-RESOLVE',[status(thm)],[29,111,63]) ).
cnf(134,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[130,26]),131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.02/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.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 : 300
% 0.12/0.33 % DateTime : Sun Apr 6 02:57:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2025-04-06T02:57:38
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2025-04-06T02:57:38
% 0.85/1.08
% 0.85/1.08
% 0.85/1.08 #||
% 0.85/1.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/1.08 % SZS output start Refutation
% See solution above
% 0.92/1.08 ||#
% 0.92/1.08
% 0.92/1.08 ; Summary of computation:
% 0.92/1.08 ; 5000 formulas have been input or derived (from 84 formulas).
% 0.92/1.08 ; 134 ( 3%) were retained. Of these,
% 0.92/1.08 ; 12 ( 9%) were simplified or subsumed later,
% 0.92/1.08 ; 122 (91%) are still being kept.
% 0.92/1.08 ;
% 0.92/1.08 ; Run time in seconds excluding printing time:
% 0.92/1.08 ; 0.010 2% Read assertion file (1 call)
% 0.92/1.08 ; 0.003 0% Assert (22 calls)
% 0.92/1.08 ; 0.016 3% Process new row (1,956 calls)
% 0.92/1.08 ; 0.546 88% Resolution (166 calls)
% 0.92/1.08 ; 0.000 0% Paramodulation (83 calls)
% 0.92/1.08 ; 0.000 0% Factoring (6 calls)
% 0.92/1.08 ; 0.002 0% Condensing (68 calls)
% 0.92/1.08 ; 0.001 0% Forward subsumption (68 calls)
% 0.92/1.08 ; 0.000 0% Backward subsumption (58 calls)
% 0.92/1.08 ; 0.001 0% Clause clause subsumption (15 calls)
% 0.92/1.08 ; 0.008 1% Forward simplification (1,956 calls)
% 0.92/1.08 ; 0.000 0% Backward simplification (129 calls)
% 0.92/1.08 ; 0.001 0% Ordering (144 calls)
% 0.92/1.08 ; 0.002 0% Sortal reasoning (130 calls)
% 0.92/1.08 ; 0.001 0% Purity testing (1 call)
% 0.92/1.08 ; 0.026 4% Other
% 0.92/1.08 ; 0.617 Total
% 0.92/1.08 ; 0.621 Real time
% 0.92/1.08 ;
% 0.92/1.08 ; Term-hash-array has 183 terms in all.
% 0.92/1.08 ; Feature-vector-row-index has 57 entries (57 at peak, 58 added, 1 deleted).
% 0.92/1.08 ; Feature-vector-row-index has 127 nodes (127 at peak, 130 added, 3 deleted).
% 0.92/1.08 ; Retrieved 24 possibly forward subsuming rows in 68 calls.
% 0.92/1.08 ; Retrieved 1 possibly backward subsumed row in 58 calls.
% 0.92/1.08 ; Path-index has 193 entries (193 at peak, 201 added, 8 deleted).
% 0.92/1.08 ; Path-index has 290 nodes (290 at peak, 301 added, 11 deleted).
% 0.92/1.08 ; Trie-index has 193 entries (193 at peak, 201 added, 8 deleted).
% 0.92/1.08 ; Trie-index has 325 nodes (325 at peak, 342 added, 17 deleted).
% 0.92/1.08 ; Retrieved 1,879 generalization terms in 2,125 calls.
% 0.92/1.08 ; Retrieved 82 instance terms in 70 calls.
% 0.92/1.08 ; Retrieved 695,192 unifiable terms in 186,034 calls.
% 0.92/1.08 ;
% 0.92/1.08 ; The agenda of rows to process has 6 entries:
% 0.92/1.08 ; 6 with value 7
% 0.92/1.08 ; The agenda of rows to give has 38 entries:
% 0.92/1.08 ; 1 with value (4 6) 7 with value (4 9) 5 with value (4 13)
% 0.92/1.08 ; 14 with value (4 7) 2 with value (4 12) 1 with value (4 20)
% 0.92/1.08 ; 8 with value (4 8)
% 0.92/1.08 Evaluation took:
% 0.92/1.08 0.621 seconds of real time
% 0.92/1.08 0.595902 seconds of user run time
% 0.92/1.08 0.022938 seconds of system run time
% 0.92/1.08 [Run times include 0.01 seconds GC run time.]
% 0.92/1.08 0 calls to %EVAL
% 0.92/1.08 0 page faults and
% 0.92/1.08 45,917,280 bytes consed.
% 0.92/1.08 :PROOF-FOUND
% 0.92/1.08 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T02:57:39
% 0.92/1.08 :PROOF-FOUND
% 0.92/1.08 *
%------------------------------------------------------------------------------