TSTP Solution File: COL080-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL080-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 10.92s 11.13s
% Output : Refutation 10.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 9 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 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 : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_definition,axiom,
apply(k(X),Y) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/COL001-0.ax',k_definition) ).
cnf(abstraction,axiom,
apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,k(Z)),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL001-0.ax',abstraction) ).
cnf(extensionality2,axiom,
( X = Y
| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COL001-0.ax',extensionality2) ).
cnf(prove_TRC2b,negated_conjecture,
k(b) != apply(abstraction,apply(abstraction,k(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC2b) ).
cnf(48,plain,
b != apply(apply(abstraction,apply(abstraction,k(b))),n(k(b),apply(abstraction,apply(abstraction,k(b))))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[extensionality2,prove_TRC2b]),k_definition,theory(equality)]) ).
cnf(52,plain,
apply(apply(apply(abstraction,k(X)),Y),Z) = apply(X,apply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[abstraction,k_definition,theory(equality)]) ).
cnf(609,plain,
apply(apply(apply(abstraction,apply(abstraction,k(X))),Y),Z) = apply(X,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[abstraction,52,theory(equality)]),k_definition,theory(equality)]) ).
cnf(4130,plain,
apply(apply(abstraction,apply(abstraction,k(X))),Y) = X,
inference('HYPERRESOLVE',[status(thm)],[extensionality2,609]) ).
cnf(4131,plain,
$false,
inference('REWRITE',[status(thm)],[48,4130,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL080-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 10:07:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:07:06
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-31T10:07:06
% 0.20/0.48
% 10.92/11.13 ; Recognized left identity assertion (= (|apply| |identity| ?X) ?X).
% 10.92/11.13
% 10.92/11.13 #||
% 10.92/11.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.92/11.13 % SZS output start Refutation
% See solution above
% 10.92/11.13 ||#
% 10.92/11.13
% 10.92/11.13 ; Summary of computation:
% 10.92/11.13 ; 7384 formulas have been input or derived (from 164 formulas).
% 10.92/11.13 ; 4131 (56%) were retained. Of these,
% 10.92/11.13 ; 2499 (60%) were simplified or subsumed later,
% 10.92/11.13 ; 1632 (40%) are still being kept.
% 10.92/11.13 ;
% 10.92/11.13 ; Run time in seconds:
% 10.92/11.13 ; 0.003 0% Read assertion file (1 call)
% 10.92/11.13 ; 0.001 0% Assert (12 calls)
% 10.92/11.13 ; 0.969 9% Process new row (6,912 calls)
% 10.92/11.13 ; 0.033 0% Resolution (326 calls)
% 10.92/11.13 ; 0.081 1% Paramodulation (163 calls)
% 10.92/11.13 ; 0.000 0% Factoring (10 calls)
% 10.92/11.13 ; 0.019 0% Condensing (1,067 calls)
% 10.92/11.13 ; 0.396 4% Forward subsumption (1,066 calls)
% 10.92/11.13 ; 0.046 0% Backward subsumption (885 calls)
% 10.92/11.13 ; 0.012 0% Clause clause subsumption (3,024 calls)
% 10.92/11.13 ; 1.805 17% Forward simplification (6,301 calls)
% 10.92/11.13 ; 0.782 7% Backward simplification (4,131 calls)
% 10.92/11.13 ; 6.430 60% Ordering (476,103 calls)
% 10.92/11.13 ; 0.000 0% Sortal reasoning (32 calls)
% 10.92/11.13 ; 0.000 0% Purity testing (1 call)
% 10.92/11.13 ; 0.081 1% Other
% 10.92/11.13 ; 10.658 Total
% 10.92/11.13 ; 10.660 Real time
% 10.92/11.13 ;
% 10.92/11.13 ; Term-hash-array has 13,115 terms in all.
% 10.92/11.13 ; Feature-vector-row-index has 354 entries (362 at peak, 885 added, 531 deleted).
% 10.92/11.13 ; Feature-vector-row-index has 5,632 nodes (5,632 at peak, 12,319 added, 6,687 deleted).
% 10.92/11.13 ; Retrieved 2,710 possibly forward subsuming rows in 1,066 calls.
% 10.92/11.13 ; Retrieved 515 possibly backward subsumed rows in 885 calls.
% 10.92/11.13 ; Path-index has 6,195 entries (6,203 at peak, 14,854 added, 8,659 deleted).
% 10.92/11.13 ; Path-index has 27,594 nodes (27,621 at peak, 31,956 added, 4,362 deleted).
% 10.92/11.13 ; Trie-index has 6,195 entries (6,203 at peak, 14,854 added, 8,659 deleted).
% 10.92/11.13 ; Trie-index has 107,764 nodes (107,835 at peak, 192,402 added, 84,638 deleted).
% 10.92/11.13 ; Retrieved 400,359 generalization terms in 126,911 calls.
% 10.92/11.13 ; Retrieved 40,788 instance terms in 6,983 calls.
% 10.92/11.13 ; Retrieved 30,439 unifiable terms in 1,646 calls.
% 10.92/11.13 ;
% 10.92/11.13 ; The agenda of rows to process has 32 entries:
% 10.92/11.13 ; 1 with value 20 2 with value 28 2 with value 35
% 10.92/11.13 ; 2 with value 21 1 with value 30 2 with value 39
% 10.92/11.13 ; 1 with value 23 2 with value 31 2 with value 41
% 10.92/11.13 ; 1 with value 25 2 with value 32 2 with value 48
% 10.92/11.13 ; 2 with value 26 3 with value 33 2 with value 50
% 10.92/11.13 ; 2 with value 27 3 with value 34
% 10.92/11.13 ; The agenda of rows to give has 1548 entries:
% 10.92/11.13 ; 1 with value (4 18) 7 with value (4 90) 1 with value (4 159)
% 10.92/11.13 ; 3 with value (4 22) 3 with value (4 91) 4 with value (4 160)
% 10.92/11.13 ; 23 with value (4 23) 10 with value (4 92) 1 with value (4 161)
% 10.92/11.13 ; 26 with value (4 24) 13 with value (4 93) 4 with value (4 162)
% 10.92/11.13 ; 32 with value (4 25) 5 with value (4 94) 2 with value (4 163)
% 10.92/11.13 ; 19 with value (4 26) 8 with value (4 95) 3 with value (4 164)
% 10.92/11.13 ; 33 with value (4 27) 1 with value (4 96) 1 with value (4 165)
% 10.92/11.13 ; 21 with value (4 28) 7 with value (4 97) 5 with value (4 166)
% 10.92/11.13 ; 42 with value (4 29) 3 with value (4 98) 3 with value (4 167)
% 10.92/11.13 ; 45 with value (4 30) 7 with value (4 99) 2 with value (4 168)
% 10.92/11.13 ; 36 with value (4 31) 9 with value (4 100) 3 with value (4 169)
% 10.92/11.13 ; 33 with value (4 32) 9 with value (4 101) 3 with value (4 170)
% 10.92/11.13 ; 29 with value (4 33) 14 with value (4 102) 2 with value (4 171)
% 10.92/11.13 ; 31 with value (4 34) 16 with value (4 103) 1 with value (4 172)
% 10.92/11.13 ; 17 with value (4 35) 15 with value (4 104) 2 with value (4 173)
% 10.92/11.13 ; 25 with value (4 36) 12 with value (4 105) 4 with value (4 174)
% 10.92/11.13 ; 16 with value (4 37) 9 with value (4 106) 5 with value (4 175)
% 10.92/11.13 ; 16 with value (4 38) 21 with value (4 107) 3 with value (4 176)
% 10.92/11.13 ; 4 with value (4 39) 15 with value (4 108) 3 with value (4 177)
% 10.92/11.13 ; 22 with value (4 40) 10 with value (4 109) 4 with value (4 178)
% 10.92/11.13 ; 10 with value (4 41) 10 with value (4 110) 3 with value (4 179)
% 10.92/11.13 ; 19 with value (4 42) 12 with value (4 111) 4 with value (4 180)
% 10.92/11.13 ; 7 with value (4 43) 12 with value (4 112) 7 with value (4 181)
% 10.92/11.13 ; 5 with value (4 44) 13 with value (4 113) 5 with value (4 182)
% 10.92/11.13 ; 6 with value (4 45) 3 with value (4 114) 2 with value (4 184)
% 10.92/11.13 ; 7 with value (4 46) 7 with value (4 115) 1 with value (4 185)
% 10.92/11.13 ; 3 with value (4 47) 6 with value (4 116) 1 with value (4 186)
% 10.92/11.13 ; 8 with value (4 48) 4 with value (4 117) 3 with value (4 187)
% 10.92/11.13 ; 5 with value (4 49) 4 with value (4 118) 1 with value (4 188)
% 10.92/11.13 ; 8 with value (4 50) 10 with value (4 119) 4 with value (4 189)
% 10.92/11.13 ; 3 with value (4 51) 6 with value (4 120) 5 with value (4 191)
% 10.92/11.13 ; 7 with value (4 52) 7 with value (4 121) 1 with value (4 192)
% 10.92/11.13 ; 9 with value (4 53) 12 with value (4 122) 4 with value (4 193)
% 10.92/11.13 ; 4 with value (4 54) 7 with value (4 123) 4 with value (4 194)
% 10.92/11.13 ; 6 with value (4 55) 4 with value (4 124) 5 with value (4 195)
% 10.92/11.13 ; 3 with value (4 56) 4 with value (4 125) 6 with value (4 197)
% 10.92/11.13 ; 8 with value (4 57) 7 with value (4 126) 1 with value (4 199)
% 10.92/11.13 ; 10 with value (4 58) 3 with value (4 127) 1 with value (4 201)
% 10.92/11.13 ; 5 with value (4 59) 6 with value (4 128) 2 with value (4 202)
% 10.92/11.13 ; 4 with value (4 60) 7 with value (4 129) 3 with value (4 204)
% 10.92/11.13 ; 4 with value (4 61) 7 with value (4 130) 2 with value (4 205)
% 10.92/11.13 ; 6 with value (4 62) 5 with value (4 131) 2 with value (4 206)
% 10.92/11.13 ; 6 with value (4 63) 10 with value (4 132) 1 with value (4 207)
% 10.92/11.13 ; 11 with value (4 64) 5 with value (4 133) 1 with value (4 209)
% 10.92/11.13 ; 9 with value (4 65) 5 with value (4 135) 2 with value (4 211)
% 10.92/11.13 ; 12 with value (4 66) 7 with value (4 136) 2 with value (4 212)
% 10.92/11.13 ; 14 with value (4 67) 12 with value (4 137) 3 with value (4 215)
% 10.92/11.13 ; 9 with value (4 68) 9 with value (4 138) 1 with value (4 219)
% 11.02/11.19 ; 20 with value (4 69) 5 with value (4 139) 1 with value (4 220)
% 11.02/11.19 ; 11 with value (4 70) 6 with value (4 140) 1 with value (4 222)
% 11.02/11.19 ; 11 with value (4 71) 1 with value (4 141) 1 with value (4 223)
% 11.02/11.19 ; 10 with value (4 72) 4 with value (4 142) 2 with value (4 231)
% 11.02/11.19 ; 15 with value (4 73) 3 with value (4 143) 1 with value (4 232)
% 11.02/11.19 ; 18 with value (4 74) 4 with value (4 144) 2 with value (4 235)
% 11.02/11.19 ; 12 with value (4 75) 2 with value (4 145) 2 with value (4 242)
% 11.02/11.19 ; 17 with value (4 76) 2 with value (4 146) 1 with value (4 243)
% 11.02/11.19 ; 12 with value (4 77) 2 with value (4 147) 1 with value (4 248)
% 11.02/11.19 ; 12 with value (4 78) 2 with value (4 148) 1 with value (4 249)
% 11.02/11.19 ; 8 with value (4 79) 4 with value (4 149) 1 with value (4 250)
% 11.02/11.19 ; 8 with value (4 80) 5 with value (4 150) 1 with value (4 251)
% 11.02/11.19 ; 9 with value (4 81) 8 with value (4 151) 1 with value (4 253)
% 11.02/11.19 ; 11 with value (4 82) 1 with value (4 152) 1 with value (4 255)
% 11.02/11.19 ; 7 with value (4 83) 3 with value (4 153) 3 with value (4 260)
% 11.02/11.19 ; 8 with value (4 84) 2 with value (4 154) 2 with value (4 262)
% 11.02/11.19 ; 9 with value (4 85) 7 with value (4 155) 1 with value (4 267)
% 11.02/11.19 ; 8 with value (4 86) 2 with value (4 156) 1 with value (4 268)
% 11.02/11.19 ; 6 with value (4 87) 4 with value (4 157) 1 with value (4 273)
% 11.02/11.19 ; 18 with value (4 88) 2 with value (4 158) 1 with value (4 284)
% 11.02/11.19 ; 10 with value (4 89)
% 11.02/11.19 Evaluation took:
% 11.02/11.19 10.721 seconds of real time
% 11.02/11.19 9.969577 seconds of user run time
% 11.02/11.19 0.750128 seconds of system run time
% 11.02/11.19 [Run times include 0.945 seconds GC run time.]
% 11.02/11.19 0 calls to %EVAL
% 11.02/11.19 0 page faults and
% 11.02/11.19 491,072,944 bytes consed.
% 11.02/11.19 :PROOF-FOUND
% 11.02/11.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:07:17
% 11.02/11.19 :PROOF-FOUND
% 11.02/11.19 *
%------------------------------------------------------------------------------