TSTP Solution File: COL075-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL075-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : Fri Jul 15 00:41:48 EDT 2022
% Result : Unsatisfiable 10.70s 10.95s
% Output : Refutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_definition,axiom,
apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
cnf(abstraction,axiom,
apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,apply(k,Z)),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
cnf(prove_diagonal_combinator,negated_conjecture,
apply(apply(X,b(X)),c(X)) != apply(b(X),b(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_diagonal_combinator) ).
cnf(46,plain,
apply(apply(apply(abstraction,X),apply(k,Y)),Z) = apply(apply(X,apply(k,Z)),Y),
inference('PARAMODULATE',[status(thm)],[abstraction,k_definition,theory(equality)]) ).
cnf(3599,plain,
apply(apply(apply(apply(abstraction,abstraction),k),X),Y) = apply(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,abstraction,theory(equality)]),k_definition,theory(equality)]) ).
cnf(3674,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[prove_diagonal_combinator,3599]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL075-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Tue May 31 11:44:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T11:44:56
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-31T11:44:56
% 10.70/10.95
% 10.70/10.95
% 10.70/10.95 #||
% 10.70/10.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.70/10.95 % SZS output start Refutation
% See solution above
% 10.70/10.95 ||#
% 10.70/10.95
% 10.70/10.95 ; Summary of computation:
% 10.70/10.95 ; 5136 formulas have been input or derived (from 89 formulas).
% 10.70/10.95 ; 3674 (72%) were retained. Of these,
% 10.70/10.95 ; 2415 (66%) were simplified or subsumed later,
% 10.70/10.95 ; 1259 (34%) are still being kept.
% 10.70/10.95 ;
% 10.70/10.95 ; Run time in seconds excluding printing time:
% 10.70/10.95 ; 0.002 0% Read assertion file (1 call)
% 10.70/10.95 ; 0.000 0% Assert (11 calls)
% 10.70/10.95 ; 1.120 11% Process new row (4,903 calls)
% 10.70/10.95 ; 0.015 0% Resolution (176 calls)
% 10.70/10.95 ; 0.040 0% Paramodulation (88 calls)
% 10.70/10.95 ; 0.000 0% Factoring (1 call)
% 10.70/10.95 ; 0.002 0% Condensing (190 calls)
% 10.70/10.95 ; 0.067 1% Forward subsumption (190 calls)
% 10.70/10.95 ; 0.006 0% Backward subsumption (149 calls)
% 10.70/10.95 ; 0.002 0% Clause clause subsumption (378 calls)
% 10.70/10.95 ; 1.666 16% Forward simplification (4,756 calls)
% 10.70/10.95 ; 0.875 8% Backward simplification (3,674 calls)
% 10.70/10.95 ; 6.648 63% Ordering (394,542 calls)
% 10.70/10.95 ; 0.000 0% Sortal reasoning (32 calls)
% 10.70/10.95 ; 0.000 0% Purity testing (1 call)
% 10.70/10.95 ; 0.041 0% Other
% 10.70/10.95 ; 10.484 Total
% 10.70/10.95 ; 10.486 Real time
% 10.70/10.95 ;
% 10.70/10.95 ; Term-hash-array has 13,102 terms in all.
% 10.70/10.95 ; Feature-vector-row-index has 65 entries (69 at peak, 149 added, 84 deleted).
% 10.70/10.95 ; Feature-vector-row-index has 882 nodes (882 at peak, 1,949 added, 1,067 deleted).
% 10.70/10.95 ; Retrieved 335 possibly forward subsuming rows in 190 calls.
% 10.70/10.95 ; Retrieved 69 possibly backward subsumed rows in 149 calls.
% 10.70/10.95 ; Path-index has 5,459 entries (5,459 at peak, 14,810 added, 9,351 deleted).
% 10.70/10.95 ; Path-index has 23,736 nodes (23,736 at peak, 28,868 added, 5,132 deleted).
% 10.70/10.95 ; Trie-index has 5,459 entries (5,459 at peak, 14,810 added, 9,351 deleted).
% 10.70/10.95 ; Trie-index has 150,317 nodes (150,317 at peak, 273,754 added, 123,437 deleted).
% 10.70/10.95 ; Retrieved 334,100 generalization terms in 136,432 calls.
% 10.70/10.95 ; Retrieved 23,206 instance terms in 7,140 calls.
% 10.70/10.95 ; Retrieved 16,444 unifiable terms in 867 calls.
% 10.70/10.95 ;
% 10.70/10.95 ; The agenda of rows to process has 20 entries:
% 10.70/10.95 ; 1 with value 12 1 with value 28 2 with value 35
% 10.70/10.95 ; 1 with value 20 3 with value 30 2 with value 37
% 10.70/10.95 ; 1 with value 23 2 with value 31 1 with value 39
% 10.70/10.95 ; 2 with value 25 1 with value 32 1 with value 54
% 10.70/10.95 ; 1 with value 26 1 with value 34
% 10.70/10.95 ; The agenda of rows to give has 1216 entries:
% 10.70/10.95 ; 14 with value (4 22) 12 with value (4 110) 1 with value (4 205)
% 10.70/10.95 ; 20 with value (4 23) 4 with value (4 111) 2 with value (4 206)
% 10.70/10.95 ; 18 with value (4 24) 10 with value (4 112) 3 with value (4 207)
% 10.70/10.95 ; 17 with value (4 25) 1 with value (4 113) 2 with value (4 209)
% 10.70/10.95 ; 13 with value (4 26) 7 with value (4 114) 3 with value (4 210)
% 10.70/10.95 ; 8 with value (4 27) 6 with value (4 115) 2 with value (4 211)
% 10.70/10.95 ; 13 with value (4 28) 5 with value (4 116) 5 with value (4 212)
% 10.70/10.95 ; 15 with value (4 29) 7 with value (4 117) 5 with value (4 213)
% 10.70/10.95 ; 20 with value (4 30) 2 with value (4 118) 1 with value (4 214)
% 10.70/10.95 ; 11 with value (4 31) 5 with value (4 119) 4 with value (4 215)
% 10.70/10.95 ; 19 with value (4 32) 8 with value (4 120) 2 with value (4 216)
% 10.70/10.95 ; 18 with value (4 33) 4 with value (4 121) 1 with value (4 217)
% 10.70/10.95 ; 20 with value (4 34) 5 with value (4 122) 2 with value (4 218)
% 10.70/10.95 ; 9 with value (4 35) 3 with value (4 123) 1 with value (4 219)
% 10.70/10.95 ; 6 with value (4 36) 2 with value (4 124) 5 with value (4 222)
% 10.70/10.95 ; 3 with value (4 37) 9 with value (4 125) 5 with value (4 223)
% 10.70/10.95 ; 5 with value (4 38) 2 with value (4 126) 4 with value (4 225)
% 10.70/10.95 ; 5 with value (4 39) 3 with value (4 127) 3 with value (4 226)
% 10.70/10.95 ; 5 with value (4 40) 10 with value (4 128) 1 with value (4 228)
% 10.70/10.95 ; 1 with value (4 41) 6 with value (4 129) 2 with value (4 229)
% 10.70/10.95 ; 10 with value (4 42) 4 with value (4 130) 2 with value (4 231)
% 10.70/10.95 ; 3 with value (4 43) 6 with value (4 131) 2 with value (4 232)
% 10.70/10.95 ; 5 with value (4 44) 4 with value (4 132) 2 with value (4 233)
% 10.70/10.95 ; 2 with value (4 45) 4 with value (4 133) 2 with value (4 236)
% 10.70/10.95 ; 7 with value (4 46) 2 with value (4 134) 1 with value (4 237)
% 10.70/10.95 ; 10 with value (4 47) 4 with value (4 135) 1 with value (4 239)
% 10.70/10.95 ; 11 with value (4 48) 3 with value (4 136) 4 with value (4 241)
% 10.70/10.95 ; 9 with value (4 49) 2 with value (4 137) 1 with value (4 242)
% 10.70/10.95 ; 19 with value (4 50) 6 with value (4 138) 2 with value (4 244)
% 10.70/10.95 ; 15 with value (4 51) 7 with value (4 139) 1 with value (4 247)
% 10.70/10.95 ; 9 with value (4 52) 3 with value (4 141) 2 with value (4 248)
% 10.70/10.95 ; 16 with value (4 53) 3 with value (4 142) 1 with value (4 250)
% 10.70/10.95 ; 8 with value (4 54) 2 with value (4 143) 2 with value (4 251)
% 10.70/10.95 ; 22 with value (4 55) 2 with value (4 144) 1 with value (4 253)
% 10.70/10.95 ; 11 with value (4 56) 4 with value (4 145) 3 with value (4 254)
% 10.70/10.95 ; 14 with value (4 57) 3 with value (4 146) 2 with value (4 256)
% 10.70/10.95 ; 9 with value (4 58) 3 with value (4 147) 1 with value (4 257)
% 10.70/10.95 ; 13 with value (4 59) 4 with value (4 148) 1 with value (4 258)
% 10.70/10.95 ; 5 with value (4 60) 2 with value (4 149) 4 with value (4 259)
% 10.70/10.95 ; 9 with value (4 61) 2 with value (4 150) 1 with value (4 260)
% 10.70/10.95 ; 9 with value (4 62) 4 with value (4 151) 3 with value (4 262)
% 10.70/10.95 ; 8 with value (4 63) 2 with value (4 152) 2 with value (4 263)
% 10.70/10.95 ; 2 with value (4 64) 6 with value (4 153) 3 with value (4 264)
% 10.70/10.95 ; 8 with value (4 65) 3 with value (4 154) 1 with value (4 265)
% 10.70/10.95 ; 4 with value (4 66) 1 with value (4 155) 3 with value (4 266)
% 10.70/10.95 ; 3 with value (4 67) 3 with value (4 156) 1 with value (4 269)
% 10.70/10.95 ; 1 with value (4 68) 1 with value (4 158) 2 with value (4 270)
% 10.70/10.95 ; 3 with value (4 69) 1 with value (4 159) 1 with value (4 275)
% 10.70/10.95 ; 7 with value (4 70) 2 with value (4 161) 1 with value (4 277)
% 10.70/10.95 ; 12 with value (4 71) 4 with value (4 162) 1 with value (4 278)
% 10.70/10.95 ; 6 with value (4 72) 1 with value (4 163) 2 with value (4 287)
% 10.70/10.95 ; 7 with value (4 73) 9 with value (4 164) 1 with value (4 292)
% 10.70/10.95 ; 9 with value (4 74) 1 with value (4 165) 1 with value (4 293)
% 10.70/10.95 ; 10 with value (4 75) 2 with value (4 166) 1 with value (4 294)
% 10.70/10.95 ; 5 with value (4 76) 9 with value (4 167) 3 with value (4 298)
% 10.70/10.95 ; 16 with value (4 77) 3 with value (4 168) 2 with value (4 299)
% 10.70/10.95 ; 7 with value (4 78) 1 with value (4 169) 1 with value (4 300)
% 10.70/10.95 ; 11 with value (4 79) 7 with value (4 170) 1 with value (4 301)
% 10.70/10.95 ; 7 with value (4 80) 2 with value (4 171) 1 with value (4 302)
% 10.70/10.95 ; 10 with value (4 81) 2 with value (4 172) 3 with value (4 303)
% 10.70/10.95 ; 3 with value (4 82) 2 with value (4 173) 2 with value (4 304)
% 10.70/10.95 ; 9 with value (4 83) 2 with value (4 174) 1 with value (4 306)
% 10.70/10.95 ; 6 with value (4 84) 4 with value (4 175) 1 with value (4 309)
% 10.70/10.95 ; 6 with value (4 85) 2 with value (4 176) 1 with value (4 310)
% 10.70/10.95 ; 8 with value (4 86) 2 with value (4 177) 2 with value (4 313)
% 10.70/10.95 ; 3 with value (4 87) 2 with value (4 180) 1 with value (4 314)
% 10.70/10.95 ; 6 with value (4 88) 1 with value (4 181) 1 with value (4 318)
% 10.70/10.95 ; 6 with value (4 89) 3 with value (4 182) 1 with value (4 319)
% 10.70/10.95 ; 6 with value (4 90) 2 with value (4 183) 1 with value (4 320)
% 10.70/10.95 ; 7 with value (4 91) 4 with value (4 184) 1 with value (4 326)
% 10.70/10.95 ; 9 with value (4 92) 2 with value (4 185) 1 with value (4 327)
% 10.70/10.95 ; 5 with value (4 93) 2 with value (4 186) 2 with value (4 332)
% 10.70/10.95 ; 4 with value (4 94) 1 with value (4 187) 2 with value (4 333)
% 10.70/10.95 ; 2 with value (4 95) 3 with value (4 188) 1 with value (4 334)
% 10.70/10.95 ; 6 with value (4 96) 4 with value (4 190) 2 with value (4 337)
% 10.70/10.95 ; 9 with value (4 97) 2 with value (4 191) 1 with value (4 355)
% 10.70/10.95 ; 4 with value (4 98) 7 with value (4 192) 1 with value (4 357)
% 10.70/10.95 ; 1 with value (4 99) 2 with value (4 193) 1 with value (4 359)
% 10.70/10.95 ; 9 with value (4 100) 3 with value (4 195) 1 with value (4 365)
% 10.70/10.95 ; 4 with value (4 101) 1 with value (4 196) 1 with value (4 366)
% 10.70/10.95 ; 3 with value (4 102) 1 with value (4 197) 1 with value (4 367)
% 10.70/10.95 ; 5 with value (4 103) 1 with value (4 198) 1 with value (4 372)
% 10.70/10.95 ; 4 with value (4 104) 1 with value (4 199) 1 with value (4 390)
% 10.70/10.95 ; 7 with value (4 105) 2 with value (4 200) 1 with value (4 412)
% 10.70/10.95 ; 4 with value (4 106) 2 with value (4 201) 1 with value (4 418)
% 10.70/10.95 ; 4 with value (4 107) 4 with value (4 202) 1 with value (4 422)
% 10.70/10.95 ; 7 with value (4 108) 7 with value (4 204) 1 with value (4 447)
% 10.70/10.95 ; 7 with value (4 109)
% 10.70/10.95 Evaluation took:
% 10.70/10.95 10.488 seconds of real time
% 10.70/10.95 9.839151 seconds of user run time
% 10.70/10.95 0.647848 seconds of system run time
% 10.70/10.95 [Run times include 0.946 seconds GC run time.]
% 10.70/10.95 0 calls to %EVAL
% 10.70/10.95 0 page faults and
% 10.70/10.95 538,062,472 bytes consed.
% 10.70/10.95 :PROOF-FOUND
% 10.70/10.95 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T11:45:06
% 10.70/10.95 :PROOF-FOUND
% 10.70/10.95 *
%------------------------------------------------------------------------------