TSTP Solution File: GEO127-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:14:06 EDT 2022
% Result : Unsatisfiable 13.57s 13.75s
% Output : Refutation 13.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 35 ( 19 unt; 6 nHn; 24 RR)
% Number of literals : 54 ( 4 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 37 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(end_point_defn_13,axiom,
( ~ end_point(X,Y)
| incident_c(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(closed_defn_31,axiom,
( ~ closed(X)
| ~ end_point(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
cnf(closed_defn_32,axiom,
( end_point(ax0_sk6(X),X)
| closed(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
cnf(open_defn_33,axiom,
( ~ open(X)
| end_point(ax0_sk7(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
cnf(c3_37,axiom,
inner_point(ax0_sk8(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c3_37) ).
cnf(start_point_defn_8,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_8) ).
cnf(o1_17,axiom,
( ~ ordered_by(X,Y,Z)
| incident_o(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_17) ).
cnf(o1_18,axiom,
( ~ ordered_by(X,Y,Z)
| incident_o(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_18) ).
cnf(o2_19,axiom,
open(ax2_sk3(X)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_19) ).
cnf(o2_21,axiom,
( ~ incident_c(X,ax2_sk3(Y))
| incident_o(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_21) ).
cnf(o4_29,axiom,
start_point(ax2_sk6(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o4_29) ).
cnf(theorem_4_12_133,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_133) ).
cnf(theorem_4_12_137,negated_conjecture,
( ~ ordered_by(sk25,sk26,X)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_137) ).
cnf(theorem_4_12_138,negated_conjecture,
( ~ ordered_by(sk25,X,sk26)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_138) ).
cnf(91,plain,
incident_c(ax0_sk8(X),X),
inference('HYPERRESOLVE',[status(thm)],[inner_point_defn_21,c3_37]) ).
cnf(92,plain,
~ end_point(ax0_sk8(X),X),
inference('UR-RESOLVE',[status(thm)],[inner_point_defn_22,c3_37]) ).
cnf(95,plain,
( closed(X)
| incident_c(ax0_sk6(X),X) ),
inference('HYPERRESOLVE',[status(thm)],[end_point_defn_13,closed_defn_32]) ).
cnf(96,plain,
end_point(ax0_sk7(ax2_sk3(X)),ax2_sk3(X)),
inference('HYPERRESOLVE',[status(thm)],[open_defn_33,o2_19]) ).
cnf(101,plain,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk27,sk26) ),
inference('HYPERRESOLVE',[status(thm)],[o1_17,theorem_4_12_133]) ).
cnf(365,plain,
incident_o(ax0_sk8(ax2_sk3(X)),X),
inference('HYPERRESOLVE',[status(thm)],[o2_21,91]) ).
cnf(1190,plain,
( closed(ax2_sk3(X))
| incident_o(ax0_sk6(ax2_sk3(X)),X) ),
inference('HYPERRESOLVE',[status(thm)],[o2_21,95]) ).
cnf(1441,plain,
~ closed(ax2_sk3(X)),
inference('UR-RESOLVE',[status(thm)],[closed_defn_31,96]) ).
cnf(1442,plain,
incident_o(ax0_sk6(ax2_sk3(X)),X),
inference('REWRITE',[status(thm)],[1190,1441]) ).
cnf(1497,plain,
end_point(ax0_sk6(ax2_sk3(X)),ax2_sk3(X)),
inference('UR-RESOLVE',[status(thm)],[closed_defn_32,1441]) ).
cnf(1498,plain,
incident_o(sk26,sk25),
inference('HYPERRESOLVE',[status(thm)],[o1_18,101]) ).
cnf(1499,plain,
~ ordered_by(sk25,sk26,X),
inference('REWRITE',[status(thm)],[theorem_4_12_137,1498]) ).
cnf(1501,plain,
~ ordered_by(sk25,X,sk26),
inference('REWRITE',[status(thm)],[theorem_4_12_138,1498]) ).
cnf(1507,plain,
ax2_sk6(sk25) = sk26,
inference('UR-RESOLVE',[status(thm)],[start_point_defn_8,1498,o4_29,1501]) ).
cnf(1940,plain,
start_point(sk26,sk25),
inference('PARAMODULATE',[status(thm)],[o4_29,1507,theory(equality)]) ).
cnf(2624,plain,
ax0_sk8(ax2_sk3(sk25)) = sk26,
inference('UR-RESOLVE',[status(thm)],[start_point_defn_8,365,1940,1499]) ).
cnf(2805,plain,
ax0_sk6(ax2_sk3(sk25)) = sk26,
inference('UR-RESOLVE',[status(thm)],[start_point_defn_8,1442,1940,1499]) ).
cnf(15496,plain,
~ end_point(sk26,ax2_sk3(sk25)),
inference('PARAMODULATE',[status(thm)],[92,2624,theory(equality)]) ).
cnf(15522,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1497,2805,theory(equality)]),15496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 06:41:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T06:41:33
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T06:41:33
% 13.57/13.75
% 13.57/13.75
% 13.57/13.75 #||
% 13.57/13.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.57/13.75 % SZS output start Refutation
% See solution above
% 13.57/13.77 ||#
% 13.57/13.77
% 13.57/13.77 ; Summary of computation:
% 13.57/13.77 ; 25661 formulas have been input or derived (from 163 formulas).
% 13.57/13.77 ; 15522 (60%) were retained. Of these,
% 13.57/13.77 ; 299 ( 2%) were simplified or subsumed later,
% 13.57/13.77 ; 15223 (98%) are still being kept.
% 13.57/13.77 ;
% 13.57/13.77 ; Run time in seconds excluding printing time:
% 13.57/13.77 ; 0.023 0% Read assertion file (1 call)
% 13.57/13.77 ; 0.003 0% Assert (102 calls)
% 13.57/13.77 ; 2.107 16% Process new row (25,129 calls)
% 13.57/13.77 ; 2.589 19% Resolution (324 calls)
% 13.57/13.77 ; 0.009 0% Paramodulation (162 calls)
% 13.57/13.77 ; 0.000 0% Factoring (15 calls)
% 13.57/13.77 ; 0.415 3% Condensing (20,608 calls)
% 13.57/13.77 ; 4.373 33% Forward subsumption (20,608 calls)
% 13.57/13.77 ; 1.265 10% Backward subsumption (15,030 calls)
% 13.57/13.77 ; 0.930 7% Clause clause subsumption (279,116 calls)
% 13.57/13.77 ; 1.135 9% Forward simplification (25,124 calls)
% 13.57/13.77 ; 0.067 1% Backward simplification (15,522 calls)
% 13.57/13.77 ; 0.251 2% Ordering (147,717 calls)
% 13.57/13.77 ; 0.001 0% Sortal reasoning (32 calls)
% 13.57/13.77 ; 0.000 0% Purity testing (1 call)
% 13.57/13.77 ; 0.116 1% Other
% 13.57/13.77 ; 13.284 Total
% 13.57/13.77 ; 13.303 Real time
% 13.57/13.77 ;
% 13.57/13.77 ; Term-hash-array has 28,934 terms in all.
% 13.57/13.77 ; Feature-vector-row-index has 14,747 entries (14,769 at peak, 15,030 added, 283 deleted).
% 13.57/13.77 ; Feature-vector-row-index has 27,893 nodes (27,971 at peak, 29,011 added, 1,118 deleted).
% 13.57/13.77 ; Retrieved 250,815 possibly forward subsuming rows in 20,608 calls.
% 13.57/13.77 ; Retrieved 66,208 possibly backward subsumed rows in 15,030 calls.
% 13.57/13.77 ; Path-index has 28,529 entries (28,529 at peak, 29,063 added, 534 deleted).
% 13.57/13.77 ; Path-index has 20,814 nodes (20,814 at peak, 21,014 added, 200 deleted).
% 13.57/13.77 ; Trie-index has 28,529 entries (28,529 at peak, 29,063 added, 534 deleted).
% 13.57/13.77 ; Trie-index has 133,037 nodes (133,037 at peak, 135,014 added, 1,977 deleted).
% 13.57/13.77 ; Retrieved 67,431 generalization terms in 206,462 calls.
% 13.57/13.77 ; Retrieved 807 instance terms in 491 calls.
% 13.57/13.77 ; Retrieved 3,094,772 unifiable terms in 10,848 calls.
% 13.57/13.77 ;
% 13.57/13.77 ; The agenda of rows to process has 8 entries:
% 13.57/13.77 ; 1 with value 12 2 with value 17 1 with value 21
% 13.57/13.77 ; 2 with value 16 2 with value 20
% 13.57/13.77 ; The agenda of rows to give has 15066 entries:
% 13.57/13.77 ; 12 with value (4 13) 154 with value (4 55) 67 with value (4 97)
% 13.57/13.77 ; 17 with value (4 14) 148 with value (4 56) 59 with value (4 98)
% 13.57/13.77 ; 24 with value (4 15) 68 with value (4 57) 56 with value (4 99)
% 13.57/13.77 ; 26 with value (4 16) 126 with value (4 58) 42 with value (4 100)
% 13.57/13.77 ; 39 with value (4 17) 102 with value (4 59) 32 with value (4 101)
% 13.57/13.77 ; 20 with value (4 18) 147 with value (4 60) 14 with value (4 102)
% 13.57/13.77 ; 33 with value (4 19) 108 with value (4 61) 37 with value (4 103)
% 13.57/13.77 ; 41 with value (4 20) 164 with value (4 62) 12 with value (4 104)
% 13.57/13.77 ; 22 with value (4 21) 276 with value (4 63) 32 with value (4 105)
% 13.57/13.77 ; 63 with value (4 22) 252 with value (4 64) 44 with value (4 106)
% 13.57/13.77 ; 37 with value (4 23) 166 with value (4 65) 36 with value (4 107)
% 13.57/13.77 ; 38 with value (4 24) 202 with value (4 66) 58 with value (4 108)
% 13.57/13.77 ; 27 with value (4 25) 290 with value (4 67) 124 with value (4 109)
% 13.57/13.77 ; 40 with value (4 26) 306 with value (4 68) 138 with value (4 110)
% 13.57/13.77 ; 32 with value (4 27) 382 with value (4 69) 80 with value (4 111)
% 13.57/13.77 ; 105 with value (4 28) 256 with value (4 70) 44 with value (4 112)
% 13.57/13.77 ; 72 with value (4 29) 114 with value (4 71) 10 with value (4 113)
% 13.57/13.77 ; 54 with value (4 30) 294 with value (4 72) 72 with value (4 114)
% 13.57/13.77 ; 137 with value (4 31) 322 with value (4 73) 81 with value (4 115)
% 13.57/13.77 ; 50 with value (4 32) 102 with value (4 74) 12 with value (4 116)
% 13.57/13.77 ; 107 with value (4 33) 198 with value (4 75) 24 with value (4 117)
% 13.57/13.77 ; 148 with value (4 34) 168 with value (4 76) 4 with value (4 119)
% 13.57/13.77 ; 142 with value (4 35) 152 with value (4 77) 12 with value (4 120)
% 13.57/13.77 ; 247 with value (4 36) 244 with value (4 78) 8 with value (4 121)
% 13.57/13.77 ; 231 with value (4 37) 155 with value (4 79) 1 with value (4 122)
% 13.57/13.77 ; 266 with value (4 38) 181 with value (4 80) 6 with value (4 123)
% 13.57/13.77 ; 267 with value (4 39) 120 with value (4 81) 12 with value (4 124)
% 13.57/13.77 ; 271 with value (4 40) 80 with value (4 82) 8 with value (4 125)
% 13.57/13.77 ; 312 with value (4 41) 113 with value (4 83) 12 with value (4 126)
% 13.57/13.77 ; 202 with value (4 42) 143 with value (4 84) 58 with value (4 127)
% 13.57/13.77 ; 220 with value (4 43) 166 with value (4 85) 84 with value (4 128)
% 13.57/13.77 ; 316 with value (4 44) 202 with value (4 86) 40 with value (4 129)
% 13.57/13.77 ; 172 with value (4 45) 150 with value (4 87) 6 with value (4 131)
% 13.57/13.77 ; 266 with value (4 46) 200 with value (4 88) 24 with value (4 132)
% 13.57/13.77 ; 374 with value (4 47) 218 with value (4 89) 40 with value (4 133)
% 13.57/13.77 ; 275 with value (4 48) 132 with value (4 90) 40 with value (4 134)
% 13.57/13.77 ; 264 with value (4 49) 364 with value (4 91) 16 with value (4 135)
% 13.57/13.77 ; 292 with value (4 50) 398 with value (4 92) 4 with value (4 136)
% 13.57/13.77 ; 180 with value (4 51) 175 with value (4 93) 17 with value (4 137)
% 13.57/13.78 ; 130 with value (4 52) 92 with value (4 94) 20 with value (4 138)
% 13.57/13.78 ; 146 with value (4 53) 96 with value (4 95) 4 with value (4 139)
% 13.57/13.78 ; 55 with value (4 54) 78 with value (4 96)
% 13.57/13.78 Evaluation took:
% 13.57/13.78 13.306 seconds of real time
% 13.57/13.78 12.396035 seconds of user run time
% 13.57/13.78 0.910128 seconds of system run time
% 13.57/13.78 [Run times include 2.036 seconds GC run time.]
% 13.57/13.78 0 calls to %EVAL
% 13.57/13.78 0 page faults and
% 13.57/13.78 1,147,275,072 bytes consed.
% 13.57/13.78 :PROOF-FOUND
% 13.57/13.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T06:41:46
% 13.57/13.78 :PROOF-FOUND
% 13.57/13.78 *
%------------------------------------------------------------------------------