TSTP Solution File: COL003-14 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL003-14 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 00:41:33 EDT 2022
% Result : Unsatisfiable 71.34s 71.54s
% Output : Refutation 71.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 18 equ; 1 neg)
% Maximal clause size : 1 ( 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; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(w_definition,axiom,
apply(apply(w,X),Y) = apply(apply(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
cnf(strong_fixed_point,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,w),b))),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
cnf(4,plain,
strong_fixed_point = apply(apply(apply(apply(b,b),apply(b,apply(w,w))),apply(apply(b,w),b)),b),
inference('REWRITE',[status(thm)],[strong_fixed_point,b_definition,theory(equality)]) ).
cnf(prove_strong_fixed_point,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(9,plain,
apply(apply(w,apply(b,X)),Y) = apply(X,apply(Y,Y)),
inference('PARAMODULATE',[status(thm)],[w_definition,b_definition,theory(equality)]) ).
cnf(10,plain,
apply(apply(apply(w,b),X),Y) = apply(X,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,w_definition,theory(equality)]) ).
cnf(11,plain,
apply(apply(apply(b,X),apply(w,Y)),Z) = apply(X,apply(apply(Y,Z),Z)),
inference('PARAMODULATE',[status(thm)],[b_definition,w_definition,theory(equality)]) ).
cnf(12,plain,
apply(apply(apply(b,X),apply(Y,Z)),Z) = apply(X,apply(apply(w,Y),Z)),
inference('PARAMODULATE',[status(thm)],[b_definition,w_definition,theory(equality)]) ).
cnf(15,plain,
apply(apply(apply(b,X),apply(apply(b,Y),Z)),U) = apply(X,apply(Y,apply(Z,U))),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(19,plain,
apply(apply(apply(apply(apply(b,b),X),Y),Z),U) = apply(apply(X,Y),apply(Z,U)),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(28,plain,
apply(apply(w,apply(w,apply(b,X))),Y) = apply(apply(X,apply(Y,Y)),Y),
inference('PARAMODULATE',[status(thm)],[w_definition,9,theory(equality)]) ).
cnf(344,plain,
apply(apply(apply(b,X),apply(w,w)),Y) = apply(apply(apply(b,X),apply(Y,Y)),Y),
inference('PARAMODULATE',[status(thm)],[11,12,theory(equality)]) ).
cnf(3325,plain,
apply(apply(apply(apply(w,b),w),apply(b,apply(b,X))),Y) = apply(apply(apply(b,X),apply(w,w)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,344,theory(equality)]),10,theory(equality)]) ).
cnf(4183,plain,
apply(strong_fixed_point,X) = apply(apply(apply(b,apply(w,w)),apply(apply(b,w),b)),apply(b,X)),
inference('PARAMODULATE',[status(thm)],[19,4,theory(equality)]) ).
cnf(8170,plain,
apply(strong_fixed_point,X) = apply(apply(w,w),apply(w,apply(b,apply(b,X)))),
inference('PARAMODULATE',[status(thm)],[15,4183,theory(equality)]) ).
cnf(8217,plain,
apply(apply(apply(b,X),apply(w,w)),apply(w,apply(b,apply(b,Y)))) = apply(X,apply(strong_fixed_point,Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,8170,theory(equality)]) ).
cnf(8218,plain,
apply(strong_fixed_point,X) = apply(X,apply(strong_fixed_point,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[w_definition,8170,theory(equality)]),8217,3325,10,theory(equality)]) ).
cnf(8221,plain,
$false,
inference('REWRITE',[status(thm)],[prove_strong_fixed_point,8218,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL003-14 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 10:01:26 EDT 2022
% 0.12/0.34 % 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 2022-05-31T10:01:26
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-31T10:01:26
% 71.34/71.54
% 71.34/71.54
% 71.34/71.54 #||
% 71.34/71.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.34/71.54 % SZS output start Refutation
% See solution above
% 71.34/71.56 ||#
% 71.34/71.56
% 71.34/71.56 ; Summary of computation:
% 71.34/71.56 ; 26481 formulas have been input or derived (from 86 formulas).
% 71.34/71.56 ; 8221 (31%) were retained. Of these,
% 71.34/71.56 ; 1151 (14%) were simplified or subsumed later,
% 71.34/71.56 ; 7070 (86%) are still being kept.
% 71.34/71.56 ;
% 71.34/71.56 ; Run time in seconds excluding printing time:
% 71.34/71.56 ; 0.001 0% Read assertion file (1 call)
% 71.34/71.56 ; 0.000 0% Assert (4 calls)
% 71.34/71.56 ; 1.612 2% Process new row (26,265 calls)
% 71.34/71.56 ; 0.041 0% Resolution (170 calls)
% 71.34/71.56 ; 0.708 1% Paramodulation (85 calls)
% 71.34/71.56 ; 22.598 32% Forward simplification (26,170 calls)
% 71.34/71.56 ; 3.157 4% Backward simplification (8,220 calls)
% 71.34/71.56 ; 42.805 60% Ordering (4,571,830 calls)
% 71.34/71.56 ; 0.001 0% Sortal reasoning (32 calls)
% 71.34/71.56 ; 0.000 0% Purity testing (1 call)
% 71.34/71.56 ; 0.150 0% Other
% 71.34/71.56 ; 71.073 Total
% 71.34/71.56 ; 71.095 Real time
% 71.34/71.56 ;
% 71.34/71.56 ; Term-hash-array has 25,007 terms in all.
% 71.34/71.56 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 71.34/71.56 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 71.34/71.56 ; Path-index has 22,357 entries (22,363 at peak, 25,580 added, 3,223 deleted).
% 71.34/71.56 ; Path-index has 2,081 nodes (2,087 at peak, 2,181 added, 100 deleted).
% 71.34/71.56 ; Trie-index has 22,357 entries (22,363 at peak, 25,580 added, 3,223 deleted).
% 71.34/71.56 ; Trie-index has 148,767 nodes (148,789 at peak, 170,090 added, 21,323 deleted).
% 71.34/71.56 ; Retrieved 10,200,193 generalization terms in 500,570 calls.
% 71.34/71.56 ; Retrieved 975,693 instance terms in 22,027 calls.
% 71.34/71.56 ; Retrieved 307,914 unifiable terms in 950 calls.
% 71.34/71.56 ;
% 71.34/71.56 ; The agenda of rows to process has 107 entries:
% 71.34/71.56 ; 1 with value 31 8 with value 39 3 with value 47
% 71.34/71.56 ; 9 with value 32 5 with value 40 2 with value 48
% 71.34/71.56 ; 3 with value 33 2 with value 41 3 with value 49
% 71.34/71.56 ; 9 with value 34 5 with value 42 1 with value 51
% 71.34/71.56 ; 7 with value 35 1 with value 43 2 with value 53
% 71.34/71.56 ; 14 with value 36 2 with value 44 1 with value 54
% 71.34/71.56 ; 12 with value 37 3 with value 45 4 with value 56
% 71.34/71.56 ; 8 with value 38 1 with value 46 1 with value 58
% 71.34/71.56 ; The agenda of rows to give has 6987 entries:
% 71.34/71.56 ; 1 with value (4 16) 279 with value (4 43) 7 with value (4 62)
% 71.34/71.56 ; 1 with value (4 25) 366 with value (4 44) 6 with value (4 63)
% 71.34/71.56 ; 1 with value (4 26) 233 with value (4 45) 12 with value (4 64)
% 71.34/71.56 ; 41 with value (4 27) 267 with value (4 46) 7 with value (4 65)
% 71.34/71.56 ; 31 with value (4 28) 192 with value (4 47) 6 with value (4 66)
% 71.34/71.56 ; 71 with value (4 29) 155 with value (4 48) 3 with value (4 67)
% 71.34/71.56 ; 88 with value (4 30) 114 with value (4 49) 3 with value (4 68)
% 71.34/71.56 ; 111 with value (4 31) 93 with value (4 50) 1 with value (4 69)
% 71.34/71.56 ; 137 with value (4 32) 70 with value (4 51) 2 with value (4 70)
% 71.34/71.56 ; 223 with value (4 33) 87 with value (4 52) 3 with value (4 71)
% 71.34/71.56 ; 282 with value (4 34) 52 with value (4 53) 3 with value (4 72)
% 71.34/71.56 ; 268 with value (4 35) 51 with value (4 54) 1 with value (4 73)
% 71.34/71.56 ; 411 with value (4 36) 41 with value (4 55) 1 with value (4 74)
% 71.34/71.56 ; 396 with value (4 37) 18 with value (4 56) 1 with value (4 76)
% 71.34/71.56 ; 486 with value (4 38) 12 with value (4 57) 1 with value (4 77)
% 71.34/71.56 ; 655 with value (4 39) 18 with value (4 58) 1 with value (4 79)
% 71.34/71.56 ; 677 with value (4 40) 22 with value (4 59) 1 with value (4 81)
% 71.34/71.56 ; 493 with value (4 41) 12 with value (4 60) 1 with value (4 84)
% 71.34/71.56 ; 461 with value (4 42) 11 with value (4 61)
% 71.34/71.56 Evaluation took:
% 71.34/71.56 71.097 seconds of real time
% 71.34/71.56 65.55902 seconds of user run time
% 71.34/71.56 5.537573 seconds of system run time
% 71.34/71.56 [Run times include 7.031 seconds GC run time.]
% 71.34/71.56 0 calls to %EVAL
% 71.34/71.56 0 page faults and
% 71.34/71.56 4,837,667,872 bytes consed.
% 71.34/71.56 :PROOF-FOUND
% 71.34/71.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T10:02:37
% 71.34/71.56 :PROOF-FOUND
% 71.34/71.56 *
%------------------------------------------------------------------------------