%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO111-1 : 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 06:13:58 EDT 2022
% Result : Unsatisfiable 2.44s 2.60s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 16 unt; 7 nHn; 32 RR)
% Number of literals : 59 ( 16 equ; 23 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
( ~ part_of(X,Y)
| ~ incident_c(Z,X)
| incident_c(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(end_point_defn_13,axiom,
( ~ end_point(X,Y)
| incident_c(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
cnf(inner_point_defn_21,axiom,
( ~ inner_point(X,Y)
| incident_c(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(inner_point_defn_22,axiom,
( ~ inner_point(X,Y)
| ~ end_point(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(between_c_defn_1,axiom,
( ~ between_c(X,Y,Z,U)
| Y != U ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
cnf(between_c_defn_2,axiom,
( ~ between_c(X,Y,Z,U)
| part_of(ax1_sk1(U,Z,Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
cnf(between_c_defn_3,axiom,
( ~ between_c(X,Y,Z,U)
| end_point(Y,ax1_sk1(U,Z,Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_3) ).
cnf(between_c_defn_4,axiom,
( ~ between_c(X,Y,Z,U)
| end_point(U,ax1_sk1(U,Z,Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_4) ).
cnf(between_c_defn_5,axiom,
( ~ between_c(X,Y,Z,U)
| inner_point(Z,ax1_sk1(U,Z,Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
cnf(theorem_3_8_1_77,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_1_77) ).
cnf(theorem_3_8_1_78,negated_conjecture,
( ~ incident_c(sk16,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk18,sk15)
| sk16 = sk17
| sk17 = sk18
| sk16 = sk18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_1_78) ).
cnf(56,plain,
sk16 != sk18,
inference('UR-RESOLVE',[status(thm)],[between_c_defn_1,theorem_3_8_1_77]) ).
cnf(57,plain,
( ~ incident_c(sk16,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk18,sk15)
| sk16 = sk17
| sk17 = sk18 ),
inference('REWRITE',[status(thm)],[theorem_3_8_1_78,56]) ).
cnf(62,plain,
part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15),
inference('HYPERRESOLVE',[status(thm)],[between_c_defn_2,theorem_3_8_1_77]) ).
cnf(63,plain,
end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('HYPERRESOLVE',[status(thm)],[between_c_defn_3,theorem_3_8_1_77]) ).
cnf(64,plain,
end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('HYPERRESOLVE',[status(thm)],[between_c_defn_4,theorem_3_8_1_77]) ).
cnf(65,plain,
inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('HYPERRESOLVE',[status(thm)],[between_c_defn_5,theorem_3_8_1_77]) ).
cnf(173,plain,
incident_c(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('HYPERRESOLVE',[status(thm)],[end_point_defn_13,63]) ).
cnf(174,plain,
~ inner_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('UR-RESOLVE',[status(thm)],[inner_point_defn_22,63]) ).
cnf(181,plain,
incident_c(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('HYPERRESOLVE',[status(thm)],[end_point_defn_13,64]) ).
cnf(195,plain,
incident_c(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference('HYPERRESOLVE',[status(thm)],[inner_point_defn_21,65]) ).
cnf(311,plain,
incident_c(sk16,sk15),
inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,173,62]) ).
cnf(312,plain,
( ~ incident_c(sk17,sk15)
| ~ incident_c(sk18,sk15)
| sk16 = sk17
| sk17 = sk18 ),
inference('REWRITE',[status(thm)],[57,311]) ).
cnf(335,plain,
incident_c(sk18,sk15),
inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,181,62]) ).
cnf(336,plain,
( ~ incident_c(sk17,sk15)
| sk16 = sk17
| sk17 = sk18 ),
inference('REWRITE',[status(thm)],[312,335]) ).
cnf(358,plain,
incident_c(sk17,sk15),
inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,195,62]) ).
cnf(359,plain,
( sk16 = sk17
| sk17 = sk18 ),
inference('REWRITE',[status(thm)],[336,358]) ).
cnf(375,plain,
( sk16 = sk17
| inner_point(sk17,ax1_sk1(sk17,sk17,sk16,sk15)) ),
inference('PARAMODULATE',[status(thm)],[65,359,theory(equality)]) ).
cnf(376,plain,
( sk16 = sk17
| end_point(sk17,ax1_sk1(sk17,sk17,sk16,sk15)) ),
inference('PARAMODULATE',[status(thm)],[64,359,theory(equality)]) ).
cnf(4156,plain,
sk16 = sk17,
inference('HYPERRESOLVE',[status(thm)],[inner_point_defn_22,376,375]) ).
cnf(4161,plain,
inner_point(sk16,ax1_sk1(sk18,sk16,sk16,sk15)),
inference('REWRITE',[status(thm)],[65,4156,theory(equality)]) ).
cnf(4173,plain,
$false,
inference('REWRITE',[status(thm)],[174,4161,4156,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO111-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 20:23:14 EDT 2022
% 0.13/0.35 % 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 2022-06-17T20:23:14
% 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 2022-06-17T20:23:14
% 2.44/2.60
% 2.44/2.60
% 2.44/2.60 #||
% 2.44/2.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/2.60 % SZS output start Refutation
% See solution above
% 2.44/2.61 ||#
% 2.44/2.61
% 2.44/2.61 ; Summary of computation:
% 2.44/2.61 ; 11666 formulas have been input or derived (from 202 formulas).
% 2.44/2.61 ; 4173 (36%) were retained. Of these,
% 2.44/2.61 ; 2150 (52%) were simplified or subsumed later,
% 2.44/2.61 ; 2023 (48%) are still being kept.
% 2.44/2.61 ;
% 2.44/2.61 ; Run time in seconds excluding printing time:
% 2.44/2.61 ; 0.013 1% Read assertion file (1 call)
% 2.44/2.61 ; 0.003 0% Assert (56 calls)
% 2.44/2.61 ; 0.423 20% Process new row (8,017 calls)
% 2.44/2.61 ; 0.424 20% Resolution (402 calls)
% 2.44/2.61 ; 0.004 0% Paramodulation (201 calls)
% 2.44/2.61 ; 0.000 0% Factoring (38 calls)
% 2.44/2.61 ; 0.045 2% Condensing (4,270 calls)
% 2.44/2.61 ; 0.535 25% Forward subsumption (4,270 calls)
% 2.44/2.61 ; 0.197 9% Backward subsumption (2,843 calls)
% 2.44/2.61 ; 0.055 3% Clause clause subsumption (23,391 calls)
% 2.44/2.61 ; 0.176 8% Forward simplification (8,017 calls)
% 2.44/2.61 ; 0.165 8% Backward simplification (4,173 calls)
% 2.44/2.61 ; 0.022 1% Ordering (9,568 calls)
% 2.44/2.61 ; 0.000 0% Sortal reasoning (32 calls)
% 2.44/2.61 ; 0.000 0% Purity testing (1 call)
% 2.44/2.61 ; 0.061 3% Other
% 2.44/2.61 ; 2.123 Total
% 2.44/2.61 ; 2.126 Real time
% 2.44/2.61 ;
% 2.44/2.61 ; Term-hash-array has 6,886 terms in all.
% 2.44/2.61 ; Feature-vector-row-index has 1,429 entries (2,710 at peak, 2,843 added, 1,414 deleted).
% 2.44/2.61 ; Feature-vector-row-index has 4,379 nodes (10,279 at peak, 10,750 added, 6,371 deleted).
% 2.44/2.61 ; Retrieved 25,765 possibly forward subsuming rows in 4,270 calls.
% 2.44/2.61 ; Retrieved 5,804 possibly backward subsumed rows in 2,843 calls.
% 2.44/2.61 ; Path-index has 3,695 entries (6,631 at peak, 7,064 added, 3,369 deleted).
% 2.44/2.61 ; Path-index has 8,953 nodes (11,342 at peak, 11,656 added, 2,703 deleted).
% 2.44/2.61 ; Trie-index has 3,695 entries (6,631 at peak, 7,064 added, 3,369 deleted).
% 2.44/2.61 ; Trie-index has 16,079 nodes (35,134 at peak, 37,374 added, 21,295 deleted).
% 2.44/2.61 ; Retrieved 28,884 generalization terms in 28,486 calls.
% 2.44/2.61 ; Retrieved 5,334 instance terms in 1,329 calls.
% 2.44/2.61 ; Retrieved 574,805 unifiable terms in 32,341 calls.
% 2.44/2.61 ;
% 2.44/2.61 ; The agenda of backward simplifiable rows to process has 1893 entries:
% 2.44/2.61 ; 1893 with value 0
% 2.44/2.61 ; The agenda of rows to process has 205 entries:
% 2.44/2.61 ; 1 with value 11 1 with value 52 6 with value 73
% 2.44/2.61 ; 1 with value 15 2 with value 53 4 with value 74
% 2.44/2.61 ; 1 with value 16 4 with value 55 3 with value 75
% 2.44/2.61 ; 1 with value 23 1 with value 58 1 with value 76
% 2.44/2.61 ; 1 with value 24 10 with value 59 4 with value 77
% 2.44/2.61 ; 12 with value 30 4 with value 60 18 with value 78
% 2.44/2.61 ; 1 with value 33 1 with value 62 2 with value 79
% 2.44/2.61 ; 1 with value 36 1 with value 63 9 with value 80
% 2.44/2.61 ; 1 with value 37 13 with value 64 1 with value 81
% 2.44/2.61 ; 1 with value 38 1 with value 65 8 with value 85
% 2.44/2.61 ; 2 with value 40 20 with value 67 12 with value 86
% 2.44/2.61 ; 7 with value 42 12 with value 68 4 with value 90
% 2.44/2.61 ; 1 with value 46 10 with value 69 14 with value 94
% 2.44/2.61 ; 6 with value 51 2 with value 70
% 2.44/2.61 ; The agenda of input rows to give has 1 entry:
% 2.44/2.61 ; 1 with value 6
% 2.44/2.61 ; The agenda of rows to give has 1884 entries:
% 2.44/2.61 ; 1 with value (4 7) 61 with value (4 32) 4 with value (4 53)
% 2.44/2.61 ; 6 with value (4 10) 63 with value (4 33) 59 with value (4 54)
% 2.44/2.61 ; 1 with value (4 11) 83 with value (4 34) 10 with value (4 55)
% 2.44/2.61 ; 2 with value (4 13) 47 with value (4 35) 14 with value (4 56)
% 2.44/2.61 ; 25 with value (4 15) 53 with value (4 36) 4 with value (4 58)
% 2.44/2.61 ; 28 with value (4 16) 72 with value (4 37) 16 with value (4 59)
% 2.44/2.61 ; 27 with value (4 17) 6 with value (4 38) 36 with value (4 60)
% 2.44/2.61 ; 45 with value (4 18) 21 with value (4 39) 40 with value (4 61)
% 2.44/2.61 ; 46 with value (4 19) 57 with value (4 40) 16 with value (4 62)
% 2.44/2.61 ; 48 with value (4 20) 112 with value (4 41) 28 with value (4 64)
% 2.44/2.61 ; 23 with value (4 21) 4 with value (4 42) 2 with value (4 66)
% 2.44/2.61 ; 27 with value (4 22) 41 with value (4 43) 24 with value (4 68)
% 2.44/2.61 ; 75 with value (4 23) 18 with value (4 44) 24 with value (4 69)
% 2.44/2.61 ; 44 with value (4 24) 16 with value (4 45) 12 with value (4 70)
% 2.44/2.61 ; 48 with value (4 25) 26 with value (4 46) 20 with value (4 72)
% 2.44/2.61 ; 41 with value (4 26) 20 with value (4 47) 8 with value (4 73)
% 2.44/2.61 ; 60 with value (4 27) 3 with value (4 48) 8 with value (4 78)
% 2.44/2.61 ; 58 with value (4 28) 8 with value (4 49) 4 with value (4 79)
% 2.44/2.61 ; 80 with value (4 29) 8 with value (4 50) 16 with value (4 88)
% 2.44/2.61 ; 60 with value (4 30) 20 with value (4 51) 12 with value (4 96)
% 2.44/2.61 ; 16 with value (4 31) 27 with value (4 52)
% 2.44/2.61 Evaluation took:
% 2.44/2.61 2.128 seconds of real time
% 2.44/2.61 2.007175 seconds of user run time
% 2.44/2.61 0.120182 seconds of system run time
% 2.44/2.61 [Run times include 0.231 seconds GC run time.]
% 2.44/2.61 0 calls to %EVAL
% 2.44/2.61 0 page faults and
% 2.44/2.61 213,253,920 bytes consed.
% 2.44/2.61 :PROOF-FOUND
% 2.44/2.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:23:16
% 2.44/2.61 :PROOF-FOUND
% 2.44/2.61 *
%------------------------------------------------------------------------------