%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 9.54s 9.71s
% Output : Refutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 6 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(c_definition,axiom,
apply(apply(apply(c,X),Y),Z) = apply(apply(X,Z),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_definition) ).
cnf(weak_fixed_point,axiom,
( X != apply(fixed_pt,X)
| fixed_point(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weak_fixed_point) ).
cnf(prove_weak_fixed_point,negated_conjecture,
~ fixed_point(apply(apply(apply(s,apply(c,apply(b,X))),apply(s,apply(c,apply(b,X)))),apply(s,apply(c,apply(b,X))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
cnf(7,plain,
~ fixed_point(apply(apply(apply(apply(s,s),s),apply(c,apply(b,X))),apply(s,apply(c,apply(b,X))))),
inference('REWRITE',[status(thm)],[prove_weak_fixed_point,s_definition,theory(equality)]) ).
cnf(10,plain,
( apply(X,Y) != apply(apply(apply(b,fixed_pt),X),Y)
| fixed_point(apply(X,Y)) ),
inference('PARAMODULATE',[status(thm)],[weak_fixed_point,b_definition,theory(equality)]) ).
cnf(37,plain,
apply(apply(apply(s,apply(c,X)),Y),Z) = apply(apply(X,apply(Y,Z)),Z),
inference('PARAMODULATE',[status(thm)],[c_definition,s_definition,theory(equality)]) ).
cnf(1649,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,37]),7,s_definition,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 04:47:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T04:47:12
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-31T04:47:12
% 0.19/0.47
% 9.54/9.71 ; Recognized left identity assertion (= (|apply| |i| ?X) ?X).
% 9.54/9.71
% 9.54/9.71 #||
% 9.54/9.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.54/9.71 % SZS output start Refutation
% See solution above
% 9.54/9.72 ||#
% 9.54/9.72
% 9.54/9.72 ; Summary of computation:
% 9.54/9.72 ; 3324 formulas have been input or derived (from 37 formulas).
% 9.54/9.72 ; 1649 (50%) were retained. Of these,
% 9.54/9.72 ; 109 ( 7%) were simplified or subsumed later,
% 9.54/9.72 ; 1540 (93%) are still being kept.
% 9.54/9.72 ;
% 9.54/9.72 ; Run time in seconds excluding printing time:
% 9.54/9.72 ; 0.001 0% Read assertion file (1 call)
% 9.54/9.72 ; 0.001 0% Assert (6 calls)
% 9.54/9.72 ; 0.218 2% Process new row (3,162 calls)
% 9.54/9.72 ; 0.008 0% Resolution (72 calls)
% 9.54/9.72 ; 0.066 1% Paramodulation (36 calls)
% 9.54/9.72 ; 0.000 0% Condensing (97 calls)
% 9.54/9.72 ; 0.004 0% Forward subsumption (97 calls)
% 9.54/9.72 ; 0.004 0% Backward subsumption (70 calls)
% 9.54/9.72 ; 0.000 0% Clause clause subsumption (160 calls)
% 9.54/9.72 ; 2.411 26% Forward simplification (2,690 calls)
% 9.54/9.72 ; 0.767 8% Backward simplification (1,648 calls)
% 9.54/9.72 ; 5.733 62% Ordering (946,269 calls)
% 9.54/9.72 ; 0.001 0% Sortal reasoning (32 calls)
% 9.54/9.72 ; 0.000 0% Purity testing (1 call)
% 9.54/9.72 ; 0.032 0% Other
% 9.54/9.72 ; 9.246 Total
% 9.54/9.72 ; 9.254 Real time
% 9.54/9.72 ;
% 9.54/9.72 ; Term-hash-array has 7,025 terms in all.
% 9.54/9.72 ; Feature-vector-row-index has 68 entries (68 at peak, 70 added, 2 deleted).
% 9.54/9.72 ; Feature-vector-row-index has 730 nodes (730 at peak, 760 added, 30 deleted).
% 9.54/9.72 ; Retrieved 168 possibly forward subsuming rows in 97 calls.
% 9.54/9.72 ; Retrieved 3 possibly backward subsumed rows in 70 calls.
% 9.54/9.72 ; Path-index has 6,709 entries (6,709 at peak, 7,065 added, 356 deleted).
% 9.54/9.72 ; Path-index has 1,293 nodes (1,293 at peak, 1,340 added, 47 deleted).
% 9.54/9.72 ; Trie-index has 6,709 entries (6,709 at peak, 7,065 added, 356 deleted).
% 9.54/9.72 ; Trie-index has 33,862 nodes (33,862 at peak, 35,663 added, 1,801 deleted).
% 9.54/9.72 ; Retrieved 992,693 generalization terms in 34,594 calls.
% 9.54/9.72 ; Retrieved 489,595 instance terms in 4,379 calls.
% 9.54/9.72 ; Retrieved 51,678 unifiable terms in 383 calls.
% 9.54/9.72 ;
% 9.54/9.72 ; The agenda of rows to process has 154 entries:
% 9.54/9.72 ; 21 with value 32 10 with value 38 1 with value 47
% 9.54/9.72 ; 23 with value 33 6 with value 39 1 with value 48
% 9.54/9.72 ; 25 with value 34 4 with value 40 2 with value 50
% 9.54/9.72 ; 20 with value 35 4 with value 41 1 with value 52
% 9.54/9.72 ; 17 with value 36 2 with value 42 1 with value 54
% 9.54/9.72 ; 14 with value 37 2 with value 43
% 9.54/9.72 ; The agenda of rows to give has 1508 entries:
% 9.54/9.72 ; 5 with value (4 23) 73 with value (4 36) 7 with value (4 49)
% 9.54/9.72 ; 20 with value (4 24) 59 with value (4 37) 6 with value (4 50)
% 9.54/9.72 ; 36 with value (4 25) 75 with value (4 38) 3 with value (4 51)
% 9.54/9.72 ; 62 with value (4 26) 41 with value (4 39) 3 with value (4 52)
% 9.54/9.72 ; 71 with value (4 27) 46 with value (4 40) 4 with value (4 53)
% 9.54/9.72 ; 77 with value (4 28) 30 with value (4 41) 4 with value (4 54)
% 9.54/9.72 ; 92 with value (4 29) 29 with value (4 42) 1 with value (4 56)
% 9.54/9.72 ; 112 with value (4 30) 20 with value (4 43) 3 with value (4 57)
% 9.54/9.72 ; 149 with value (4 31) 21 with value (4 44) 1 with value (4 59)
% 9.54/9.72 ; 121 with value (4 32) 12 with value (4 45) 2 with value (4 61)
% 9.54/9.72 ; 120 with value (4 33) 5 with value (4 46) 1 with value (4 63)
% 9.54/9.72 ; 101 with value (4 34) 3 with value (4 47) 1 with value (4 64)
% 9.54/9.72 ; 89 with value (4 35) 3 with value (4 48)
% 9.54/9.72 Evaluation took:
% 9.54/9.72 9.255 seconds of real time
% 9.54/9.72 8.189536 seconds of user run time
% 9.54/9.72 1.06612 seconds of system run time
% 9.54/9.72 [Run times include 0.389 seconds GC run time.]
% 9.54/9.72 0 calls to %EVAL
% 9.54/9.72 0 page faults and
% 9.54/9.72 718,320,272 bytes consed.
% 9.54/9.72 :PROOF-FOUND
% 9.54/9.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T04:47:21
% 9.54/9.72 :PROOF-FOUND
% 9.54/9.72 *
%------------------------------------------------------------------------------