TSTP Solution File: COL009-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 00:41:36 EDT 2022
% Result : Unsatisfiable 3.68s 3.93s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 7 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(l2_definition,axiom,
apply(apply(l2,X),Y) = apply(Y,apply(X,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(9,plain,
apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(17,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(27,plain,
apply(X,apply(Y,Y)) != apply(apply(apply(b,combinator),apply(l2,Y)),X),
inference('PARAMODULATE',[status(thm)],[9,l2_definition,theory(equality)]) ).
cnf(1954,plain,
apply(X,apply(Y,apply(Z,U))) = apply(X,apply(apply(apply(b,Y),Z),U)),
inference('PARAMODULATE',[status(thm)],[b_definition,17,theory(equality)]) ).
cnf(2219,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[27,1954]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.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 14:37:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T14:37:11
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-31T14:37:11
% 3.68/3.93
% 3.68/3.93
% 3.68/3.93 #||
% 3.68/3.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/3.93 % SZS output start Refutation
% See solution above
% 3.68/3.93 ||#
% 3.68/3.93
% 3.68/3.93 ; Summary of computation:
% 3.68/3.93 ; 5654 formulas have been input or derived (from 53 formulas).
% 3.68/3.93 ; 2219 (39%) were retained. Of these,
% 3.68/3.93 ; 154 ( 7%) were simplified or subsumed later,
% 3.68/3.93 ; 2065 (93%) are still being kept.
% 3.68/3.93 ;
% 3.68/3.93 ; Run time in seconds:
% 3.68/3.93 ; 0.001 0% Read assertion file (1 call)
% 3.68/3.93 ; 0.000 0% Assert (3 calls)
% 3.68/3.93 ; 0.241 7% Process new row (5,052 calls)
% 3.68/3.93 ; 0.017 0% Resolution (104 calls)
% 3.68/3.93 ; 0.089 3% Paramodulation (52 calls)
% 3.68/3.93 ; 1.001 29% Forward simplification (5,052 calls)
% 3.68/3.93 ; 0.198 6% Backward simplification (2,219 calls)
% 3.68/3.93 ; 1.859 54% Ordering (276,748 calls)
% 3.68/3.93 ; 0.000 0% Sortal reasoning (32 calls)
% 3.68/3.93 ; 0.000 0% Purity testing (1 call)
% 3.68/3.93 ; 0.046 1% Other
% 3.68/3.93 ; 3.452 Total
% 3.68/3.93 ; 3.452 Real time
% 3.68/3.93 ;
% 3.68/3.93 ; Term-hash-array has 6,920 terms in all.
% 3.68/3.93 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.68/3.93 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.68/3.93 ; Path-index has 6,603 entries (6,603 at peak, 6,977 added, 374 deleted).
% 3.68/3.93 ; Path-index has 985 nodes (985 at peak, 1,002 added, 17 deleted).
% 3.68/3.93 ; Trie-index has 6,603 entries (6,603 at peak, 6,977 added, 374 deleted).
% 3.68/3.93 ; Trie-index has 36,269 nodes (36,269 at peak, 38,330 added, 2,061 deleted).
% 3.68/3.93 ; Retrieved 446,419 generalization terms in 71,034 calls.
% 3.68/3.93 ; Retrieved 52,087 instance terms in 4,712 calls.
% 3.68/3.93 ; Retrieved 60,339 unifiable terms in 546 calls.
% 3.68/3.93 ;
% 3.68/3.93 ; The agenda of rows to process has 577 entries:
% 3.68/3.93 ; 4 with value 22 48 with value 33 16 with value 43
% 3.68/3.93 ; 1 with value 23 42 with value 34 6 with value 44
% 3.68/3.93 ; 1 with value 24 52 with value 35 4 with value 45
% 3.68/3.93 ; 2 with value 25 77 with value 36 2 with value 46
% 3.68/3.93 ; 3 with value 26 68 with value 37 6 with value 47
% 3.68/3.93 ; 9 with value 27 26 with value 38 3 with value 48
% 3.68/3.93 ; 5 with value 28 25 with value 39 2 with value 49
% 3.68/3.93 ; 18 with value 29 30 with value 40 3 with value 51
% 3.68/3.93 ; 13 with value 30 20 with value 41 2 with value 52
% 3.68/3.93 ; 25 with value 31 20 with value 42 1 with value 53
% 3.68/3.93 ; 43 with value 32
% 3.68/3.93 ; The agenda of rows to give has 2012 entries:
% 3.68/3.93 ; 25 with value (4 25) 193 with value (4 35) 6 with value (4 45)
% 3.68/3.93 ; 45 with value (4 26) 230 with value (4 36) 7 with value (4 46)
% 3.68/3.93 ; 44 with value (4 27) 127 with value (4 37) 5 with value (4 47)
% 3.68/3.93 ; 57 with value (4 28) 154 with value (4 38) 1 with value (4 48)
% 3.68/3.93 ; 109 with value (4 29) 86 with value (4 39) 4 with value (4 49)
% 3.68/3.93 ; 123 with value (4 30) 60 with value (4 40) 6 with value (4 50)
% 3.68/3.93 ; 148 with value (4 31) 54 with value (4 41) 2 with value (4 51)
% 3.68/3.93 ; 129 with value (4 32) 28 with value (4 42) 3 with value (4 52)
% 3.68/3.93 ; 176 with value (4 33) 22 with value (4 43) 2 with value (4 53)
% 3.68/3.93 ; 147 with value (4 34) 18 with value (4 44) 1 with value (4 54)
% 3.68/3.93 Evaluation took:
% 3.68/3.93 3.452 seconds of real time
% 3.68/3.93 3.080514 seconds of user run time
% 3.68/3.93 0.372274 seconds of system run time
% 3.68/3.93 [Run times include 0.177 seconds GC run time.]
% 3.68/3.93 0 calls to %EVAL
% 3.68/3.93 0 page faults and
% 3.68/3.93 241,718,024 bytes consed.
% 3.68/3.93 :PROOF-FOUND
% 3.68/3.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T14:37:15
% 3.68/3.93 :PROOF-FOUND
% 3.68/3.93 *
%------------------------------------------------------------------------------