TSTP Solution File: COL078-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL078-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 18.98s 19.17s
% Output : Refutation 18.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 17 unt; 0 nHn; 7 RR)
% Number of literals : 23 ( 22 equ; 6 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 : 32 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_definition,axiom,
apply(k(X),Y) = X,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/COL001-0.ax',abstraction) ).
cnf(extensionality2,axiom,
( X = Y
| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',extensionality2) ).
cnf(identity_definition,axiom,
apply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_definition) ).
cnf(prove_TRC1b,negated_conjecture,
apply(apply(apply(abstraction,abstraction),abstraction),abstraction) != k(k(identity)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC1b) ).
cnf(13,plain,
apply(apply(abstraction,k(abstraction)),apply(abstraction,abstraction)) != k(k(identity)),
inference('REWRITE',[status(thm)],[prove_TRC1b,abstraction,theory(equality)]) ).
cnf(41,plain,
( identity = X
| n(identity,X) != apply(X,n(identity,X)) ),
inference('PARAMODULATE',[status(thm)],[extensionality2,identity_definition,theory(equality)]) ).
cnf(43,plain,
( k(X) = Y
| X != apply(Y,n(k(X),Y)) ),
inference('PARAMODULATE',[status(thm)],[extensionality2,k_definition,theory(equality)]) ).
cnf(47,plain,
apply(apply(apply(abstraction,k(abstraction)),apply(abstraction,abstraction)),n(apply(apply(abstraction,k(abstraction)),apply(abstraction,abstraction)),k(k(identity)))) != k(identity),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[extensionality2,13]),k_definition,theory(equality)]) ).
cnf(51,plain,
apply(apply(apply(abstraction,k(X)),Y),Z) = apply(X,apply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[abstraction,k_definition,theory(equality)]) ).
cnf(58,plain,
apply(apply(apply(apply(abstraction,abstraction),X),Y),Z) = apply(Y,apply(apply(X,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[abstraction,abstraction,theory(equality)]),k_definition,theory(equality)]) ).
cnf(583,plain,
apply(apply(apply(abstraction,k(k(X))),Y),Z) = X,
inference('PARAMODULATE',[status(thm)],[k_definition,51,theory(equality)]) ).
cnf(656,plain,
k(X) = apply(apply(abstraction,k(k(X))),Y),
inference('HYPERRESOLVE',[status(thm)],[43,583]) ).
cnf(657,plain,
k(k(X)) = apply(abstraction,k(k(X))),
inference('HYPERRESOLVE',[status(thm)],[43,656]) ).
cnf(660,plain,
apply(apply(apply(abstraction,abstraction),X),k(Y)) = k(Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[abstraction,657,theory(equality)]),k_definition,theory(equality)]) ).
cnf(1291,plain,
apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X)),Y),Z) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[abstraction,660,theory(equality)]),k_definition,theory(equality)]) ).
cnf(6202,plain,
identity = apply(apply(abstraction,apply(apply(abstraction,abstraction),X)),Y),
inference('HYPERRESOLVE',[status(thm)],[41,1291]) ).
cnf(6203,plain,
k(identity) = apply(abstraction,apply(apply(abstraction,abstraction),X)),
inference('HYPERRESOLVE',[status(thm)],[43,6202]) ).
cnf(6204,plain,
apply(apply(apply(abstraction,k(abstraction)),apply(abstraction,abstraction)),X) = k(identity),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[58,6203,theory(equality)]),abstraction,theory(equality)]) ).
cnf(6205,plain,
$false,
inference('REWRITE',[status(thm)],[47,6204,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL078-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 08:35:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:35:14
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-31T08:35:14
% 0.21/0.49
% 18.98/19.17 ; Recognized left identity assertion (= (|apply| |identity| ?X) ?X).
% 18.98/19.17
% 18.98/19.17 #||
% 18.98/19.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.98/19.17 % SZS output start Refutation
% See solution above
% 18.98/19.17 ||#
% 18.98/19.17
% 18.98/19.17 ; Summary of computation:
% 18.98/19.17 ; 12129 formulas have been input or derived (from 239 formulas).
% 18.98/19.17 ; 6205 (51%) were retained. Of these,
% 18.98/19.17 ; 2935 (47%) were simplified or subsumed later,
% 18.98/19.17 ; 3270 (53%) are still being kept.
% 18.98/19.17 ;
% 18.98/19.17 ; Run time in seconds excluding printing time:
% 18.98/19.17 ; 0.003 0% Read assertion file (1 call)
% 18.98/19.17 ; 0.001 0% Assert (12 calls)
% 18.98/19.17 ; 1.686 9% Process new row (11,398 calls)
% 18.98/19.17 ; 0.071 0% Resolution (476 calls)
% 18.98/19.17 ; 0.256 1% Paramodulation (238 calls)
% 18.98/19.17 ; 0.000 0% Factoring (20 calls)
% 18.98/19.17 ; 0.039 0% Condensing (1,615 calls)
% 18.98/19.17 ; 0.415 2% Forward subsumption (1,614 calls)
% 18.98/19.17 ; 0.133 1% Backward subsumption (1,264 calls)
% 18.98/19.17 ; 0.044 0% Clause clause subsumption (5,546 calls)
% 18.98/19.17 ; 2.823 15% Forward simplification (10,417 calls)
% 18.98/19.17 ; 1.430 8% Backward simplification (6,204 calls)
% 18.98/19.17 ; 11.697 63% Ordering (748,937 calls)
% 18.98/19.17 ; 0.000 0% Sortal reasoning (32 calls)
% 18.98/19.17 ; 0.000 0% Purity testing (1 call)
% 18.98/19.17 ; 0.079 0% Other
% 18.98/19.17 ; 18.677 Total
% 18.98/19.17 ; 18.689 Real time
% 18.98/19.17 ;
% 18.98/19.17 ; Term-hash-array has 20,389 terms in all.
% 18.98/19.17 ; Feature-vector-row-index has 662 entries (662 at peak, 1,264 added, 602 deleted).
% 18.98/19.17 ; Feature-vector-row-index has 8,392 nodes (8,392 at peak, 16,255 added, 7,863 deleted).
% 18.98/19.17 ; Retrieved 3,901 possibly forward subsuming rows in 1,614 calls.
% 18.98/19.17 ; Retrieved 1,964 possibly backward subsumed rows in 1,264 calls.
% 18.98/19.17 ; Path-index has 12,204 entries (12,211 at peak, 22,433 added, 10,229 deleted).
% 18.98/19.17 ; Path-index has 33,605 nodes (33,629 at peak, 40,405 added, 6,800 deleted).
% 18.98/19.17 ; Trie-index has 12,204 entries (12,211 at peak, 22,433 added, 10,229 deleted).
% 18.98/19.17 ; Trie-index has 156,259 nodes (156,341 at peak, 275,917 added, 119,658 deleted).
% 18.98/19.17 ; Retrieved 655,873 generalization terms in 197,626 calls.
% 18.98/19.17 ; Retrieved 94,107 instance terms in 10,484 calls.
% 18.98/19.17 ; Retrieved 78,857 unifiable terms in 2,608 calls.
% 18.98/19.17 ;
% 18.98/19.17 ; The agenda of rows to process has 26 entries:
% 18.98/19.17 ; 2 with value 27 4 with value 32 5 with value 35
% 18.98/19.17 ; 1 with value 29 2 with value 33 2 with value 38
% 18.98/19.17 ; 2 with value 30 2 with value 34 1 with value 39
% 18.98/19.17 ; 5 with value 31
% 18.98/19.17 ; The agenda of rows to give has 3121 entries:
% 18.98/19.17 ; 26 with value (4 25) 14 with value (4 93) 5 with value (4 162)
% 18.98/19.17 ; 40 with value (4 26) 12 with value (4 94) 2 with value (4 163)
% 18.98/19.17 ; 66 with value (4 27) 15 with value (4 95) 3 with value (4 164)
% 18.98/19.17 ; 66 with value (4 28) 7 with value (4 96) 4 with value (4 165)
% 18.98/19.17 ; 75 with value (4 29) 7 with value (4 97) 4 with value (4 166)
% 18.98/19.17 ; 106 with value (4 30) 5 with value (4 98) 1 with value (4 167)
% 18.98/19.17 ; 111 with value (4 31) 11 with value (4 99) 2 with value (4 168)
% 18.98/19.17 ; 131 with value (4 32) 6 with value (4 100) 3 with value (4 169)
% 18.98/19.17 ; 142 with value (4 33) 12 with value (4 101) 3 with value (4 170)
% 18.98/19.17 ; 137 with value (4 34) 19 with value (4 102) 2 with value (4 171)
% 18.98/19.17 ; 134 with value (4 35) 16 with value (4 103) 4 with value (4 172)
% 18.98/19.17 ; 146 with value (4 36) 12 with value (4 104) 5 with value (4 173)
% 18.98/19.17 ; 141 with value (4 37) 19 with value (4 105) 4 with value (4 174)
% 18.98/19.17 ; 111 with value (4 38) 16 with value (4 106) 5 with value (4 175)
% 18.98/19.17 ; 77 with value (4 39) 15 with value (4 107) 2 with value (4 176)
% 18.98/19.17 ; 76 with value (4 40) 19 with value (4 108) 6 with value (4 177)
% 18.98/19.17 ; 61 with value (4 41) 12 with value (4 109) 8 with value (4 178)
% 18.98/19.17 ; 79 with value (4 42) 8 with value (4 110) 4 with value (4 179)
% 18.98/19.17 ; 36 with value (4 43) 17 with value (4 111) 6 with value (4 180)
% 18.98/19.17 ; 27 with value (4 44) 14 with value (4 112) 6 with value (4 181)
% 18.98/19.17 ; 43 with value (4 45) 7 with value (4 113) 4 with value (4 182)
% 18.98/19.17 ; 16 with value (4 46) 4 with value (4 114) 1 with value (4 183)
% 18.98/19.17 ; 18 with value (4 47) 7 with value (4 115) 1 with value (4 184)
% 18.98/19.17 ; 19 with value (4 48) 6 with value (4 116) 4 with value (4 185)
% 18.98/19.17 ; 12 with value (4 49) 4 with value (4 117) 3 with value (4 187)
% 18.98/19.17 ; 8 with value (4 50) 6 with value (4 118) 2 with value (4 188)
% 18.98/19.17 ; 10 with value (4 51) 11 with value (4 119) 8 with value (4 189)
% 18.98/19.17 ; 10 with value (4 52) 5 with value (4 120) 1 with value (4 190)
% 18.98/19.17 ; 9 with value (4 53) 9 with value (4 121) 1 with value (4 191)
% 18.98/19.17 ; 4 with value (4 54) 11 with value (4 122) 3 with value (4 192)
% 18.98/19.17 ; 4 with value (4 55) 10 with value (4 123) 6 with value (4 193)
% 18.98/19.17 ; 12 with value (4 56) 5 with value (4 124) 5 with value (4 194)
% 18.98/19.17 ; 11 with value (4 57) 6 with value (4 125) 4 with value (4 195)
% 18.98/19.17 ; 10 with value (4 58) 6 with value (4 126) 1 with value (4 196)
% 18.98/19.17 ; 4 with value (4 59) 2 with value (4 127) 5 with value (4 197)
% 18.98/19.17 ; 6 with value (4 60) 6 with value (4 128) 2 with value (4 198)
% 18.98/19.17 ; 6 with value (4 61) 9 with value (4 129) 1 with value (4 199)
% 18.98/19.17 ; 11 with value (4 62) 9 with value (4 130) 3 with value (4 202)
% 18.98/19.17 ; 11 with value (4 63) 4 with value (4 131) 2 with value (4 203)
% 18.98/19.17 ; 17 with value (4 64) 8 with value (4 132) 2 with value (4 204)
% 18.98/19.17 ; 12 with value (4 65) 5 with value (4 133) 3 with value (4 205)
% 18.98/19.17 ; 18 with value (4 66) 7 with value (4 135) 1 with value (4 209)
% 18.98/19.17 ; 15 with value (4 67) 11 with value (4 136) 1 with value (4 210)
% 18.98/19.17 ; 12 with value (4 68) 10 with value (4 137) 2 with value (4 211)
% 18.98/19.17 ; 21 with value (4 69) 8 with value (4 138) 1 with value (4 212)
% 18.98/19.17 ; 13 with value (4 70) 4 with value (4 139) 3 with value (4 215)
% 18.98/19.17 ; 11 with value (4 71) 6 with value (4 140) 1 with value (4 217)
% 18.98/19.17 ; 11 with value (4 72) 2 with value (4 141) 1 with value (4 219)
% 18.98/19.17 ; 15 with value (4 73) 7 with value (4 142) 2 with value (4 220)
% 18.98/19.17 ; 18 with value (4 74) 3 with value (4 143) 1 with value (4 222)
% 18.98/19.17 ; 12 with value (4 75) 4 with value (4 144) 1 with value (4 223)
% 18.98/19.17 ; 20 with value (4 76) 2 with value (4 145) 1 with value (4 230)
% 18.98/19.17 ; 11 with value (4 77) 2 with value (4 146) 2 with value (4 231)
% 18.98/19.17 ; 14 with value (4 78) 1 with value (4 147) 2 with value (4 235)
% 18.98/19.17 ; 11 with value (4 79) 2 with value (4 148) 1 with value (4 239)
% 18.98/19.17 ; 8 with value (4 80) 3 with value (4 149) 1 with value (4 240)
% 18.98/19.17 ; 8 with value (4 81) 7 with value (4 150) 1 with value (4 242)
% 18.98/19.17 ; 11 with value (4 82) 6 with value (4 151) 1 with value (4 246)
% 18.98/19.17 ; 15 with value (4 83) 3 with value (4 152) 3 with value (4 248)
% 18.98/19.17 ; 12 with value (4 84) 2 with value (4 153) 1 with value (4 253)
% 18.98/19.17 ; 21 with value (4 85) 5 with value (4 154) 1 with value (4 255)
% 18.98/19.17 ; 9 with value (4 86) 5 with value (4 155) 3 with value (4 257)
% 18.98/19.17 ; 18 with value (4 87) 2 with value (4 156) 2 with value (4 259)
% 18.98/19.17 ; 23 with value (4 88) 3 with value (4 157) 1 with value (4 264)
% 18.98/19.17 ; 18 with value (4 89) 2 with value (4 158) 1 with value (4 268)
% 18.98/19.17 ; 18 with value (4 90) 3 with value (4 159) 1 with value (4 273)
% 18.98/19.17 ; 12 with value (4 91) 3 with value (4 160) 1 with value (4 282)
% 18.98/19.17 ; 18 with value (4 92)
% 18.98/19.17 Evaluation took:
% 18.98/19.17 18.691 seconds of real time
% 18.98/19.17 17.406952 seconds of user run time
% 18.98/19.17 1.274643 seconds of system run time
% 18.98/19.17 [Run times include 1.736 seconds GC run time.]
% 18.98/19.17 0 calls to %EVAL
% 18.98/19.17 0 page faults and
% 18.98/19.17 792,405,312 bytes consed.
% 18.98/19.17 :PROOF-FOUND
% 18.98/19.17 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:35:33
% 18.98/19.17 :PROOF-FOUND
% 18.98/19.17 *
%------------------------------------------------------------------------------