TSTP Solution File: GEO124+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:14:05 EDT 2022
% Result : Theorem 0.90s 1.08s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 1 nHn; 15 RR)
% Number of literals : 23 ( 3 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 23 ( 6 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(54,axiom,
( between_o(X,Y,Z,U)
| ~ ordered_by(X,Y,Z)
| ~ ordered_by(X,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',between_o_defn) ).
cnf(56,axiom,
( ~ start_point(X,Y)
| incident_o(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',start_point_defn) ).
cnf(57,axiom,
( ~ start_point(X,Y)
| X = Z
| ~ incident_o(Z,Y)
| ordered_by(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',start_point_defn) ).
cnf(73,axiom,
( ~ between_o(X,Y,Z,U)
| between_c('SKOLEMAAAT18'(X,Y,Z,U),Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',o3) ).
cnf(86,negated_conjecture,
start_point('SKOLEMAAAT26','SKOLEMAAAT25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1) ).
cnf(87,negated_conjecture,
start_point('SKOLEMAAAT27','SKOLEMAAAT25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1) ).
cnf(88,negated_conjecture,
'SKOLEMAAAT26' != 'SKOLEMAAAT27',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1) ).
cnf(91,plain,
incident_o('SKOLEMAAAT26','SKOLEMAAAT25'),
inference('HYPERRESOLVE',[status(thm)],[56,86]) ).
cnf(92,plain,
incident_o('SKOLEMAAAT27','SKOLEMAAAT25'),
inference('HYPERRESOLVE',[status(thm)],[56,87]) ).
cnf(97,plain,
~ between_c(X,Y,Z,Y),
inference('UR-RESOLVE',[status(thm)],[44,theory(equality)]) ).
cnf(363,plain,
ordered_by('SKOLEMAAAT25','SKOLEMAAAT27','SKOLEMAAAT26'),
inference('UR-RESOLVE',[status(thm)],[57,91,87,88]) ).
cnf(368,plain,
ordered_by('SKOLEMAAAT25','SKOLEMAAAT26','SKOLEMAAAT27'),
inference('UR-RESOLVE',[status(thm)],[57,92,86,88]) ).
cnf(851,plain,
~ between_o(X,Y,Z,Y),
inference('UR-RESOLVE',[status(thm)],[73,97]) ).
cnf(852,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[54,368,363]),851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 12:37:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-18T12:37:14
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T12:37:14
% 0.20/0.50 WARNING: In quantification, variable ?P is being rebound.
% 0.20/0.50 WARNING: In quantification, variable ?P is being rebound.
% 0.90/1.08
% 0.90/1.08
% 0.90/1.08 #||
% 0.90/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.08 % SZS output start Refutation
% See solution above
% 0.90/1.08 ||#
% 0.90/1.08
% 0.90/1.08 ; Summary of computation:
% 0.90/1.08 ; 1165 formulas have been input or derived (from 98 formulas).
% 0.90/1.08 ; 852 (73%) were retained. Of these,
% 0.90/1.08 ; 6 ( 1%) were simplified or subsumed later,
% 0.90/1.08 ; 846 (99%) are still being kept.
% 0.90/1.08 ;
% 0.90/1.08 ; Run time in seconds excluding printing time:
% 0.90/1.09 ; 0.009 1% Read assertion file (1 call)
% 0.90/1.09 ; 0.003 0% Assert (28 calls)
% 0.90/1.09 ; 0.128 21% Process new row (1,123 calls)
% 0.90/1.09 ; 0.084 14% Resolution (194 calls)
% 0.90/1.09 ; 0.001 0% Paramodulation (97 calls)
% 0.90/1.09 ; 0.001 0% Factoring (7 calls)
% 0.90/1.09 ; 0.031 5% Condensing (1,000 calls)
% 0.90/1.09 ; 0.131 22% Forward subsumption (1,000 calls)
% 0.90/1.09 ; 0.033 5% Backward subsumption (812 calls)
% 0.90/1.09 ; 0.079 13% Clause clause subsumption (16,512 calls)
% 0.90/1.09 ; 0.060 10% Forward simplification (1,123 calls)
% 0.90/1.09 ; 0.003 0% Backward simplification (852 calls)
% 0.90/1.09 ; 0.019 3% Ordering (11,287 calls)
% 0.90/1.09 ; 0.000 0% Sortal reasoning (32 calls)
% 0.90/1.09 ; 0.001 0% Purity testing (1 call)
% 0.90/1.09 ; 0.024 4% Other
% 0.90/1.09 ; 0.607 Total
% 0.90/1.09 ; 0.609 Real time
% 0.90/1.09 ;
% 0.90/1.09 ; Term-hash-array has 1,896 terms in all.
% 0.90/1.09 ; Feature-vector-row-index has 806 entries (806 at peak, 812 added, 6 deleted).
% 0.90/1.09 ; Feature-vector-row-index has 1,068 nodes (1,068 at peak, 1,079 added, 11 deleted).
% 0.90/1.09 ; Retrieved 15,086 possibly forward subsuming rows in 1,000 calls.
% 0.90/1.09 ; Retrieved 4,760 possibly backward subsumed rows in 812 calls.
% 0.90/1.09 ; Path-index has 1,889 entries (1,889 at peak, 1,901 added, 12 deleted).
% 0.90/1.09 ; Path-index has 1,621 nodes (1,621 at peak, 1,626 added, 5 deleted).
% 0.90/1.09 ; Trie-index has 1,889 entries (1,889 at peak, 1,901 added, 12 deleted).
% 0.90/1.09 ; Trie-index has 4,283 nodes (4,283 at peak, 4,296 added, 13 deleted).
% 0.90/1.09 ; Retrieved 1,432 generalization terms in 8,489 calls.
% 0.90/1.09 ; Retrieved 65 instance terms in 39 calls.
% 0.90/1.09 ; Retrieved 41,683 unifiable terms in 1,181 calls.
% 0.90/1.09 ;
% 0.90/1.09 ; The agenda of rows to process has 3 entries:
% 0.90/1.09 ; 3 with value 9
% 0.90/1.09 ; The agenda of rows to give has 748 entries:
% 0.90/1.09 ; 1 with value (4 7) 8 with value (4 49) 18 with value (4 90)
% 0.90/1.09 ; 6 with value (4 8) 8 with value (4 50) 2 with value (4 91)
% 0.90/1.09 ; 3 with value (4 9) 10 with value (4 51) 12 with value (4 92)
% 0.90/1.09 ; 6 with value (4 10) 6 with value (4 52) 25 with value (4 93)
% 0.90/1.09 ; 3 with value (4 11) 5 with value (4 54) 21 with value (4 94)
% 0.90/1.09 ; 2 with value (4 12) 8 with value (4 55) 8 with value (4 95)
% 0.90/1.09 ; 3 with value (4 13) 6 with value (4 56) 4 with value (4 96)
% 0.90/1.09 ; 2 with value (4 14) 2 with value (4 61) 13 with value (4 99)
% 0.90/1.09 ; 8 with value (4 15) 34 with value (4 62) 4 with value (4 100)
% 0.90/1.09 ; 3 with value (4 16) 20 with value (4 63) 4 with value (4 101)
% 0.90/1.09 ; 1 with value (4 17) 16 with value (4 64) 2 with value (4 102)
% 0.90/1.09 ; 3 with value (4 20) 12 with value (4 65) 35 with value (4 103)
% 0.90/1.09 ; 5 with value (4 21) 2 with value (4 66) 4 with value (4 107)
% 0.90/1.09 ; 6 with value (4 22) 8 with value (4 67) 18 with value (4 108)
% 0.90/1.09 ; 4 with value (4 25) 4 with value (4 68) 24 with value (4 109)
% 0.90/1.09 ; 4 with value (4 26) 12 with value (4 69) 8 with value (4 110)
% 0.90/1.09 ; 6 with value (4 29) 12 with value (4 75) 9 with value (4 115)
% 0.90/1.09 ; 7 with value (4 31) 46 with value (4 76) 4 with value (4 120)
% 0.90/1.09 ; 6 with value (4 34) 12 with value (4 77) 8 with value (4 121)
% 0.90/1.09 ; 4 with value (4 37) 29 with value (4 78) 1 with value (4 122)
% 0.90/1.09 ; 6 with value (4 38) 21 with value (4 79) 6 with value (4 123)
% 0.90/1.09 ; 5 with value (4 39) 8 with value (4 80) 12 with value (4 124)
% 0.90/1.09 ; 15 with value (4 40) 8 with value (4 83) 8 with value (4 125)
% 0.90/1.09 ; 6 with value (4 43) 23 with value (4 84) 1 with value (4 137)
% 0.90/1.09 ; 10 with value (4 46) 4 with value (4 85) 4 with value (4 138)
% 0.90/1.09 ; 4 with value (4 47) 36 with value (4 89) 4 with value (4 139)
% 0.90/1.09 Evaluation took:
% 0.90/1.09 0.61 seconds of real time
% 0.90/1.09 0.553964 seconds of user run time
% 0.90/1.09 0.055343 seconds of system run time
% 0.90/1.09 [Run times include 0.023 seconds GC run time.]
% 0.90/1.09 0 calls to %EVAL
% 0.90/1.09 0 page faults and
% 0.90/1.09 51,935,400 bytes consed.
% 0.90/1.09 :PROOF-FOUND
% 0.90/1.09 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:37:14
% 0.90/1.09 :PROOF-FOUND
% 0.90/1.09 *
%------------------------------------------------------------------------------