%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL042-9 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 00:41:40 EDT 2022
% Result : Unsatisfiable 30.49s 30.72s
% Output : Refutation 30.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 15 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 : 36 ( 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(w1_definition,axiom,
apply(apply(w1,X),Y) = apply(apply(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).
cnf(strong_fixed_point,axiom,
strong_fixed_point = apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
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(5,plain,
apply(apply(w1,X),w1) = apply(apply(X,X),X),
inference('PARAMODULATE',[status(thm)],[w1_definition,w1_definition,theory(equality)]) ).
cnf(9,plain,
apply(apply(w1,X),apply(apply(b,Y),Z)) = apply(apply(Y,apply(Z,X)),X),
inference('PARAMODULATE',[status(thm)],[w1_definition,b_definition,theory(equality)]) ).
cnf(10,plain,
apply(apply(apply(b,X),apply(w1,Y)),Z) = apply(X,apply(apply(Z,Y),Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,w1_definition,theory(equality)]) ).
cnf(12,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(13,plain,
apply(apply(apply(b,X),Y),apply(Z,U)) = apply(X,apply(apply(apply(b,Y),Z),U)),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(19,plain,
apply(strong_fixed_point,X) = apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[b_definition,strong_fixed_point,theory(equality)]),13,theory(equality)]) ).
cnf(121,plain,
apply(apply(apply(b,apply(w1,X)),apply(b,Y)),Z) = apply(apply(Y,apply(Z,X)),X),
inference('PARAMODULATE',[status(thm)],[b_definition,9,theory(equality)]) ).
cnf(178,plain,
apply(apply(w1,X),apply(apply(b,apply(b,Y)),w1)) = apply(Y,apply(apply(X,X),X)),
inference('PARAMODULATE',[status(thm)],[9,10,theory(equality)]) ).
cnf(699,plain,
apply(X,apply(Y,apply(Z,U))) = apply(X,apply(apply(apply(b,Y),Z),U)),
inference('PARAMODULATE',[status(thm)],[b_definition,12,theory(equality)]) ).
cnf(4553,plain,
apply(apply(X,apply(apply(Y,apply(Z,U)),V)),V) = apply(apply(apply(b,apply(w1,V)),apply(b,X)),apply(apply(apply(b,Y),Z),U)),
inference('PARAMODULATE',[status(thm)],[699,121,theory(equality)]) ).
cnf(5909,plain,
apply(strong_fixed_point,X) = apply(X,apply(strong_fixed_point,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[w1_definition,178,theory(equality)]),5,19,4553,theory(equality)]) ).
cnf(5910,plain,
$false,
inference('REWRITE',[status(thm)],[prove_strong_fixed_point,5909,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL042-9 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 10:21:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T10:21:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T10:21:23
% 30.49/30.72
% 30.49/30.72
% 30.49/30.72 #||
% 30.49/30.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.49/30.72 % SZS output start Refutation
% See solution above
% 30.63/30.81 ||#
% 30.63/30.81
% 30.63/30.81 ; Summary of computation:
% 30.63/30.81 ; 12869 formulas have been input or derived (from 60 formulas).
% 30.63/30.81 ; 5910 (46%) were retained. Of these,
% 30.63/30.81 ; 486 ( 8%) were simplified or subsumed later,
% 30.63/30.81 ; 5424 (92%) are still being kept.
% 30.63/30.81 ;
% 30.63/30.81 ; Run time in seconds excluding printing time:
% 30.63/30.81 ; 0.001 0% Read assertion file (1 call)
% 30.63/30.81 ; 0.001 0% Assert (4 calls)
% 30.63/30.81 ; 1.049 3% Process new row (12,710 calls)
% 30.63/30.81 ; 0.020 0% Resolution (118 calls)
% 30.63/30.81 ; 0.410 1% Paramodulation (59 calls)
% 30.63/30.81 ; 7.786 26% Forward simplification (12,699 calls)
% 30.63/30.81 ; 3.650 12% Backward simplification (5,910 calls)
% 30.63/30.81 ; 17.242 57% Ordering (1,690,302 calls)
% 30.63/30.81 ; 0.000 0% Sortal reasoning (32 calls)
% 30.63/30.81 ; 0.000 0% Purity testing (1 call)
% 30.63/30.81 ; 0.085 0% Other
% 30.63/30.81 ; 30.244 Total
% 30.63/30.81 ; 30.334 Real time
% 30.63/30.81 ;
% 30.63/30.81 ; Term-hash-array has 21,294 terms in all.
% 30.63/30.81 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 30.63/30.81 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 30.63/30.81 ; Path-index has 19,867 entries (19,870 at peak, 21,538 added, 1,671 deleted).
% 30.63/30.81 ; Path-index has 1,989 nodes (1,995 at peak, 2,074 added, 85 deleted).
% 30.63/30.81 ; Trie-index has 19,867 entries (19,870 at peak, 21,538 added, 1,671 deleted).
% 30.63/30.81 ; Trie-index has 114,964 nodes (114,975 at peak, 124,947 added, 9,983 deleted).
% 30.63/30.81 ; Retrieved 3,213,497 generalization terms in 199,712 calls.
% 30.63/30.81 ; Retrieved 1,178,981 instance terms in 16,849 calls.
% 30.63/30.81 ; Retrieved 235,335 unifiable terms in 648 calls.
% 30.63/30.81 ;
% 30.63/30.81 ; The agenda of rows to process has 128 entries:
% 30.63/30.81 ; 23 with value 47 9 with value 52 1 with value 57
% 30.63/30.81 ; 16 with value 48 8 with value 53 4 with value 58
% 30.63/30.81 ; 15 with value 49 6 with value 54 6 with value 59
% 30.63/30.81 ; 10 with value 50 3 with value 55 2 with value 60
% 30.63/30.81 ; 21 with value 51 3 with value 56 1 with value 61
% 30.63/30.81 ; The agenda of rows to give has 5367 entries:
% 30.63/30.81 ; 1 with value (4 15) 461 with value (4 41) 14 with value (4 56)
% 30.63/30.81 ; 5 with value (4 26) 390 with value (4 42) 16 with value (4 57)
% 30.63/30.81 ; 16 with value (4 27) 283 with value (4 43) 8 with value (4 58)
% 30.63/30.81 ; 25 with value (4 28) 233 with value (4 44) 5 with value (4 59)
% 30.63/30.81 ; 55 with value (4 29) 239 with value (4 45) 4 with value (4 60)
% 30.63/30.81 ; 48 with value (4 30) 190 with value (4 46) 2 with value (4 61)
% 30.63/30.81 ; 91 with value (4 31) 70 with value (4 47) 4 with value (4 62)
% 30.63/30.81 ; 105 with value (4 32) 82 with value (4 48) 3 with value (4 63)
% 30.63/30.81 ; 174 with value (4 33) 67 with value (4 49) 2 with value (4 64)
% 30.63/30.81 ; 169 with value (4 34) 48 with value (4 50) 2 with value (4 65)
% 30.63/30.81 ; 272 with value (4 35) 41 with value (4 51) 3 with value (4 66)
% 30.63/30.81 ; 336 with value (4 36) 31 with value (4 52) 1 with value (4 67)
% 30.63/30.81 ; 302 with value (4 37) 20 with value (4 53) 1 with value (4 69)
% 30.63/30.81 ; 385 with value (4 38) 26 with value (4 54) 1 with value (4 70)
% 30.63/30.81 ; 484 with value (4 39) 20 with value (4 55) 2 with value (4 72)
% 30.63/30.81 ; 630 with value (4 40)
% 30.63/30.81 Evaluation took:
% 30.63/30.81 30.334 seconds of real time
% 30.63/30.81 28.09415 seconds of user run time
% 30.63/30.81 2.239996 seconds of system run time
% 30.63/30.81 [Run times include 2.599 seconds GC run time.]
% 30.63/30.81 0 calls to %EVAL
% 30.63/30.81 0 page faults and
% 30.63/30.81 1,978,627,104 bytes consed.
% 30.63/30.81 :PROOF-FOUND
% 30.63/30.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T10:21:54
% 30.63/30.81 :PROOF-FOUND
% 30.63/30.81 *
%------------------------------------------------------------------------------