TSTP Solution File: COL002-2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 1.45s 1.63s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 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 ( 1 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(i_definition,axiom,
apply(i,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_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(b,X)),i),apply(apply(s,apply(b,X)),i))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
cnf(9,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(30,plain,
apply(apply(apply(s,i),X),Y) = apply(Y,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[s_definition,i_definition,theory(equality)]) ).
cnf(31,plain,
apply(apply(apply(s,X),i),Y) = apply(apply(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[s_definition,i_definition,theory(equality)]) ).
cnf(83,plain,
apply(apply(apply(s,i),i),X) = apply(X,X),
inference('PARAMODULATE',[status(thm)],[30,i_definition,theory(equality)]) ).
cnf(85,plain,
~ fixed_point(apply(apply(apply(s,i),i),apply(apply(s,apply(b,X)),i))),
inference('REWRITE',[status(thm)],[prove_weak_fixed_point,83,theory(equality)]) ).
cnf(436,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,31]),85,83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n022.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 06:19:52 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 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:19:52
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-31T06:19:52
% 0.19/0.49
% 1.45/1.63 ; Recognized left identity assertion (= (|apply| |i| ?X) ?X).
% 1.45/1.63
% 1.45/1.63 #||
% 1.45/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.45/1.63 % SZS output start Refutation
% See solution above
% 1.45/1.63 ||#
% 1.45/1.63
% 1.45/1.63 ; Summary of computation:
% 1.45/1.63 ; 845 formulas have been input or derived (from 23 formulas).
% 1.45/1.63 ; 436 (52%) were retained. Of these,
% 1.45/1.63 ; 11 ( 3%) were simplified or subsumed later,
% 1.45/1.63 ; 425 (97%) are still being kept.
% 1.45/1.63 ;
% 1.45/1.63 ; Run time in seconds excluding printing time:
% 1.45/1.63 ; 0.002 0% Read assertion file (1 call)
% 1.45/1.63 ; 0.000 0% Assert (6 calls)
% 1.45/1.63 ; 0.040 3% Process new row (799 calls)
% 1.45/1.63 ; 0.001 0% Resolution (44 calls)
% 1.45/1.63 ; 0.016 1% Paramodulation (22 calls)
% 1.45/1.63 ; 0.000 0% Condensing (11 calls)
% 1.45/1.63 ; 0.000 0% Forward subsumption (11 calls)
% 1.45/1.63 ; 0.000 0% Backward subsumption (3 calls)
% 1.45/1.63 ; 0.001 0% Clause clause subsumption (8 calls)
% 1.45/1.63 ; 0.210 18% Forward simplification (709 calls)
% 1.45/1.63 ; 0.141 12% Backward simplification (436 calls)
% 1.45/1.63 ; 0.716 62% Ordering (124,470 calls)
% 1.45/1.63 ; 0.000 0% Sortal reasoning (32 calls)
% 1.45/1.63 ; 0.000 0% Purity testing (1 call)
% 1.45/1.63 ; 0.024 2% Other
% 1.45/1.63 ; 1.151 Total
% 1.45/1.63 ; 1.153 Real time
% 1.45/1.63 ;
% 1.45/1.63 ; Term-hash-array has 1,865 terms in all.
% 1.45/1.63 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 1.45/1.63 ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 1.45/1.63 ; Retrieved 8 possibly forward subsuming rows in 11 calls.
% 1.45/1.63 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 1.45/1.63 ; Path-index has 1,843 entries (1,843 at peak, 1,877 added, 34 deleted).
% 1.45/1.63 ; Path-index has 663 nodes (663 at peak, 698 added, 35 deleted).
% 1.45/1.63 ; Trie-index has 1,843 entries (1,843 at peak, 1,877 added, 34 deleted).
% 1.45/1.63 ; Trie-index has 8,092 nodes (8,092 at peak, 8,290 added, 198 deleted).
% 1.45/1.63 ; Retrieved 83,131 generalization terms in 7,190 calls.
% 1.45/1.63 ; Retrieved 70,324 instance terms in 1,164 calls.
% 1.45/1.63 ; Retrieved 8,505 unifiable terms in 208 calls.
% 1.45/1.63 ;
% 1.45/1.63 ; The agenda of rows to process has 44 entries:
% 1.45/1.63 ; 1 with value 24 2 with value 32 4 with value 37
% 1.45/1.63 ; 4 with value 26 4 with value 33 3 with value 38
% 1.45/1.63 ; 4 with value 28 4 with value 34 3 with value 41
% 1.45/1.63 ; 2 with value 29 5 with value 35 1 with value 43
% 1.45/1.63 ; 2 with value 31 5 with value 36
% 1.45/1.63 ; The agenda of rows to give has 405 entries:
% 1.45/1.63 ; 10 with value (4 22) 46 with value (4 30) 4 with value (4 38)
% 1.45/1.63 ; 9 with value (4 23) 50 with value (4 31) 4 with value (4 39)
% 1.45/1.63 ; 18 with value (4 24) 21 with value (4 32) 2 with value (4 40)
% 1.45/1.63 ; 30 with value (4 25) 14 with value (4 33) 1 with value (4 41)
% 1.45/1.63 ; 51 with value (4 26) 7 with value (4 34) 1 with value (4 42)
% 1.45/1.63 ; 32 with value (4 27) 5 with value (4 35) 1 with value (4 44)
% 1.45/1.63 ; 50 with value (4 28) 5 with value (4 36) 1 with value (4 49)
% 1.45/1.63 ; 39 with value (4 29) 4 with value (4 37)
% 1.45/1.63 Evaluation took:
% 1.45/1.63 1.153 seconds of real time
% 1.45/1.63 1.00999 seconds of user run time
% 1.45/1.63 0.142738 seconds of system run time
% 1.45/1.63 [Run times include 0.03 seconds GC run time.]
% 1.45/1.63 0 calls to %EVAL
% 1.45/1.63 0 page faults and
% 1.45/1.63 82,357,816 bytes consed.
% 1.45/1.63 :PROOF-FOUND
% 1.45/1.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:19:54
% 1.45/1.63 :PROOF-FOUND
% 1.45/1.63 *
%------------------------------------------------------------------------------