TSTP Solution File: GEO085+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO085+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Sat Jul 16 06:13:46 EDT 2022
% Result : Theorem 0.45s 0.61s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 9 unt; 1 nHn; 14 RR)
% Number of literals : 22 ( 4 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
( ~ closed(X)
| ~ end_point(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',closed_defn) ).
cnf(29,axiom,
( closed(X)
| end_point('SKOLEMAAAW6'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',closed_defn) ).
cnf(30,axiom,
( ~ open(X)
| end_point('SKOLEMAAAW7'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',open_defn) ).
cnf(38,axiom,
( ~ end_point(X,Y)
| end_point('SKOLEMAAAW11'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c6) ).
cnf(39,axiom,
( ~ end_point(X,Y)
| X != 'SKOLEMAAAW11'(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c6) ).
cnf(44,negated_conjecture,
open('SKOLEMAAAW14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1) ).
cnf(45,negated_conjecture,
( X = Y
| ~ end_point(X,'SKOLEMAAAW14')
| ~ end_point(Y,'SKOLEMAAAW14') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1) ).
cnf(50,plain,
end_point('SKOLEMAAAW7'('SKOLEMAAAW14'),'SKOLEMAAAW14'),
inference('HYPERRESOLVE',[status(thm)],[30,44]) ).
cnf(136,plain,
~ closed('SKOLEMAAAW14'),
inference('UR-RESOLVE',[status(thm)],[28,50]) ).
cnf(139,plain,
end_point('SKOLEMAAAW11'('SKOLEMAAAW14','SKOLEMAAAW7'('SKOLEMAAAW14')),'SKOLEMAAAW14'),
inference('HYPERRESOLVE',[status(thm)],[38,50]) ).
cnf(140,plain,
'SKOLEMAAAW7'('SKOLEMAAAW14') = 'SKOLEMAAAW6'('SKOLEMAAAW14'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[45,50,29]),136]) ).
cnf(141,plain,
end_point('SKOLEMAAAW6'('SKOLEMAAAW14'),'SKOLEMAAAW14'),
inference('REWRITE',[status(thm)],[50,140,theory(equality)]) ).
cnf(144,plain,
end_point('SKOLEMAAAW11'('SKOLEMAAAW14','SKOLEMAAAW6'('SKOLEMAAAW14')),'SKOLEMAAAW14'),
inference('REWRITE',[status(thm)],[139,140,theory(equality)]) ).
cnf(146,plain,
'SKOLEMAAAW6'('SKOLEMAAAW14') != 'SKOLEMAAAW11'('SKOLEMAAAW14','SKOLEMAAAW6'('SKOLEMAAAW14')),
inference('UR-RESOLVE',[status(thm)],[39,141]) ).
cnf(235,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[45,144,141]),146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO085+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 10:12:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:12:43
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T10:12:43
% 0.45/0.61
% 0.45/0.61
% 0.45/0.61 #||
% 0.45/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.61 % SZS output start Refutation
% See solution above
% 0.45/0.61 ||#
% 0.45/0.61
% 0.45/0.61 ; Summary of computation:
% 0.45/0.61 ; 797 formulas have been input or derived (from 67 formulas).
% 0.45/0.61 ; 235 (29%) were retained. Of these,
% 0.45/0.61 ; 10 ( 4%) were simplified or subsumed later,
% 0.45/0.61 ; 225 (96%) are still being kept.
% 0.45/0.61 ;
% 0.45/0.61 ; Run time in seconds excluding printing time:
% 0.45/0.61 ; 0.006 5% Read assertion file (1 call)
% 0.45/0.61 ; 0.003 2% Assert (17 calls)
% 0.45/0.61 ; 0.019 15% Process new row (572 calls)
% 0.45/0.61 ; 0.030 24% Resolution (132 calls)
% 0.45/0.61 ; 0.000 0% Paramodulation (66 calls)
% 0.45/0.61 ; 0.000 0% Factoring (7 calls)
% 0.45/0.61 ; 0.007 6% Condensing (321 calls)
% 0.45/0.61 ; 0.018 14% Forward subsumption (321 calls)
% 0.45/0.61 ; 0.002 2% Backward subsumption (166 calls)
% 0.45/0.61 ; 0.003 2% Clause clause subsumption (765 calls)
% 0.45/0.61 ; 0.010 8% Forward simplification (564 calls)
% 0.45/0.61 ; 0.002 2% Backward simplification (235 calls)
% 0.45/0.61 ; 0.004 3% Ordering (1,117 calls)
% 0.45/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.61 ; 0.000 0% Purity testing (1 call)
% 0.45/0.61 ; 0.023 18% Other
% 0.45/0.61 ; 0.127 Total
% 0.45/0.61 ; 0.129 Real time
% 0.45/0.61 ;
% 0.45/0.61 ; Term-hash-array has 462 terms in all.
% 0.45/0.61 ; Feature-vector-row-index has 160 entries (160 at peak, 166 added, 6 deleted).
% 0.45/0.61 ; Feature-vector-row-index has 400 nodes (400 at peak, 411 added, 11 deleted).
% 0.45/0.61 ; Retrieved 965 possibly forward subsuming rows in 321 calls.
% 0.45/0.61 ; Retrieved 131 possibly backward subsumed rows in 166 calls.
% 0.45/0.61 ; Path-index has 448 entries (448 at peak, 465 added, 17 deleted).
% 0.45/0.61 ; Path-index has 1,216 nodes (1,216 at peak, 1,230 added, 14 deleted).
% 0.45/0.61 ; Trie-index has 448 entries (448 at peak, 465 added, 17 deleted).
% 0.45/0.61 ; Trie-index has 1,124 nodes (1,124 at peak, 1,152 added, 28 deleted).
% 0.45/0.61 ; Retrieved 1,041 generalization terms in 1,532 calls.
% 0.45/0.61 ; Retrieved 121 instance terms in 68 calls.
% 0.45/0.61 ; Retrieved 22,864 unifiable terms in 2,137 calls.
% 0.45/0.61 ;
% 0.45/0.61 ; The agenda of rows to process has 31 entries:
% 0.45/0.61 ; 1 with value 14 1 with value 18 1 with value 25
% 0.45/0.61 ; 4 with value 15 1 with value 20 12 with value 28
% 0.45/0.61 ; 4 with value 16 6 with value 23 1 with value 33
% 0.45/0.61 ; The agenda of rows to give has 159 entries:
% 0.45/0.61 ; 6 with value (4 11) 2 with value (4 22) 4 with value (4 36)
% 0.45/0.61 ; 8 with value (4 12) 6 with value (4 23) 2 with value (4 38)
% 0.45/0.61 ; 10 with value (4 13) 6 with value (4 24) 3 with value (4 39)
% 0.45/0.61 ; 9 with value (4 14) 5 with value (4 26) 7 with value (4 40)
% 0.45/0.61 ; 11 with value (4 15) 1 with value (4 27) 6 with value (4 43)
% 0.45/0.61 ; 4 with value (4 16) 8 with value (4 28) 6 with value (4 46)
% 0.45/0.61 ; 1 with value (4 17) 4 with value (4 29) 2 with value (4 53)
% 0.45/0.61 ; 5 with value (4 18) 4 with value (4 31) 5 with value (4 54)
% 0.45/0.61 ; 2 with value (4 19) 6 with value (4 34) 2 with value (4 55)
% 0.45/0.61 ; 5 with value (4 20) 4 with value (4 35) 6 with value (4 56)
% 0.45/0.61 ; 9 with value (4 21)
% 0.45/0.61 Evaluation took:
% 0.45/0.61 0.129 seconds of real time
% 0.45/0.61 0.112808 seconds of user run time
% 0.45/0.61 0.016257 seconds of system run time
% 0.45/0.61 0 calls to %EVAL
% 0.45/0.61 0 page faults and
% 0.45/0.61 7,968,464 bytes consed.
% 0.45/0.61 :PROOF-FOUND
% 0.45/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:12:43
% 0.45/0.61 :PROOF-FOUND
% 0.45/0.61 *
%------------------------------------------------------------------------------