TSTP Solution File: GEO112+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:13:59 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 8 unt; 1 nHn; 14 RR)
% Number of literals : 24 ( 3 equ; 12 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(44,axiom,
( ~ between_c(X,Y,Z,U)
| Y != U ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(45,axiom,
( ~ between_c(X,Y,Z,U)
| part_of('SKOLEMAAAV14'(X,Y,U,Z),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(46,axiom,
( ~ between_c(X,Y,Z,U)
| end_point(Y,'SKOLEMAAAV14'(X,Y,U,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(47,axiom,
( ~ between_c(X,Y,Z,U)
| end_point(U,'SKOLEMAAAV14'(X,Y,U,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(48,axiom,
( ~ between_c(X,Y,Z,U)
| inner_point(Z,'SKOLEMAAAV14'(X,Y,U,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(49,axiom,
( between_c(X,Y,Z,U)
| Y = U
| ~ part_of(V,X)
| ~ end_point(Y,V)
| ~ end_point(U,V)
| ~ inner_point(Z,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(50,negated_conjecture,
between_c('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2) ).
cnf(51,negated_conjecture,
~ between_c('SKOLEMAAAV15','SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2) ).
cnf(56,plain,
'SKOLEMAAAV16' != 'SKOLEMAAAV18',
inference('UR-RESOLVE',[status(thm)],[44,50]) ).
cnf(61,plain,
part_of('SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17'),'SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[45,50]) ).
cnf(62,plain,
end_point('SKOLEMAAAV16','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[46,50]) ).
cnf(63,plain,
end_point('SKOLEMAAAV18','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[47,50]) ).
cnf(64,plain,
inner_point('SKOLEMAAAV17','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[48,50]) ).
cnf(188,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[49,63,51,56,61,62]),64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.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 : 600
% 0.12/0.33 % DateTime : Fri Jun 17 23:28:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-17T23:28:56
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-17T23:28:56
% 0.39/0.58
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.58 ; 546 formulas have been input or derived (from 64 formulas).
% 0.39/0.58 ; 188 (34%) were retained. Of these,
% 0.39/0.58 ; 9 ( 5%) were simplified or subsumed later,
% 0.39/0.58 ; 179 (95%) are still being kept.
% 0.39/0.58 ;
% 0.39/0.58 ; Run time in seconds excluding printing time:
% 0.39/0.58 ; 0.007 6% Read assertion file (1 call)
% 0.39/0.58 ; 0.002 2% Assert (18 calls)
% 0.39/0.58 ; 0.017 14% Process new row (359 calls)
% 0.39/0.58 ; 0.031 26% Resolution (126 calls)
% 0.39/0.58 ; 0.000 0% Paramodulation (63 calls)
% 0.39/0.58 ; 0.000 0% Factoring (6 calls)
% 0.39/0.58 ; 0.007 6% Condensing (224 calls)
% 0.39/0.58 ; 0.009 8% Forward subsumption (224 calls)
% 0.39/0.58 ; 0.006 5% Backward subsumption (139 calls)
% 0.39/0.58 ; 0.001 1% Clause clause subsumption (592 calls)
% 0.39/0.58 ; 0.007 6% Forward simplification (359 calls)
% 0.39/0.58 ; 0.002 2% Backward simplification (188 calls)
% 0.39/0.58 ; 0.003 3% Ordering (1,022 calls)
% 0.39/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.58 ; 0.000 0% Purity testing (1 call)
% 0.39/0.58 ; 0.027 23% Other
% 0.39/0.58 ; 0.119 Total
% 0.39/0.58 ; 0.121 Real time
% 0.39/0.58 ;
% 0.39/0.58 ; Term-hash-array has 345 terms in all.
% 0.39/0.58 ; Feature-vector-row-index has 130 entries (130 at peak, 139 added, 9 deleted).
% 0.39/0.58 ; Feature-vector-row-index has 367 nodes (373 at peak, 428 added, 61 deleted).
% 0.39/0.58 ; Retrieved 716 possibly forward subsuming rows in 224 calls.
% 0.39/0.58 ; Retrieved 92 possibly backward subsumed rows in 139 calls.
% 0.39/0.58 ; Path-index has 338 entries (338 at peak, 354 added, 16 deleted).
% 0.39/0.58 ; Path-index has 1,109 nodes (1,109 at peak, 1,127 added, 18 deleted).
% 0.39/0.58 ; Trie-index has 338 entries (338 at peak, 354 added, 16 deleted).
% 0.39/0.58 ; Trie-index has 948 nodes (948 at peak, 978 added, 30 deleted).
% 0.39/0.58 ; Retrieved 359 generalization terms in 1,057 calls.
% 0.39/0.58 ; Retrieved 76 instance terms in 48 calls.
% 0.39/0.58 ; Retrieved 15,237 unifiable terms in 1,502 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of rows to process has 26 entries:
% 0.39/0.58 ; 1 with value 14 1 with value 25 1 with value 37
% 0.39/0.58 ; 3 with value 15 6 with value 31 2 with value 39
% 0.39/0.58 ; 1 with value 18 4 with value 35 2 with value 55
% 0.39/0.58 ; 4 with value 19 1 with value 36
% 0.39/0.58 ; The agenda of rows to give has 115 entries:
% 0.39/0.58 ; 7 with value (4 10) 3 with value (4 20) 3 with value (4 39)
% 0.39/0.58 ; 7 with value (4 11) 5 with value (4 21) 7 with value (4 40)
% 0.39/0.59 ; 4 with value (4 12) 2 with value (4 24) 6 with value (4 43)
% 0.39/0.59 ; 7 with value (4 13) 5 with value (4 26) 6 with value (4 46)
% 0.39/0.59 ; 4 with value (4 14) 1 with value (4 27) 2 with value (4 47)
% 0.39/0.59 ; 7 with value (4 15) 4 with value (4 29) 1 with value (4 52)
% 0.39/0.59 ; 3 with value (4 16) 6 with value (4 31) 2 with value (4 53)
% 0.39/0.59 ; 1 with value (4 17) 6 with value (4 34) 1 with value (4 54)
% 0.39/0.59 ; 2 with value (4 18) 2 with value (4 35) 2 with value (4 55)
% 0.39/0.59 ; 1 with value (4 19) 2 with value (4 38) 6 with value (4 56)
% 0.39/0.59 Evaluation took:
% 0.39/0.59 0.122 seconds of real time
% 0.39/0.59 0.107031 seconds of user run time
% 0.39/0.59 0.01527 seconds of system run time
% 0.39/0.59 0 calls to %EVAL
% 0.39/0.59 0 page faults and
% 0.39/0.59 6,719,528 bytes consed.
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:28:56
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 *
%------------------------------------------------------------------------------