TSTP Solution File: COL042-5 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL042-5 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 00:41:39 EDT 2022
% Result : Unsatisfiable 40.68s 40.85s
% Output : Refutation 40.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 13 equ; 3 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 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,
( apply(X,fixed_pt) != apply(fixed_pt,apply(X,fixed_pt))
| fixed_point(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
cnf(prove_strong_fixed_point,negated_conjecture,
~ 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',prove_strong_fixed_point) ).
cnf(11,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(14,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(15,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(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(20,plain,
apply(apply(apply(apply(b,apply(b,X)),Y),Z),U) = apply(X,apply(apply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(21,plain,
( apply(X,apply(Y,fixed_pt)) != apply(fixed_pt,apply(X,apply(Y,fixed_pt)))
| fixed_point(apply(apply(b,X),Y)) ),
inference('PARAMODULATE',[status(thm)],[strong_fixed_point,b_definition,theory(equality)]) ).
cnf(122,plain,
apply(apply(w1,X),apply(apply(b,w1),Y)) = apply(apply(X,apply(Y,X)),apply(Y,X)),
inference('PARAMODULATE',[status(thm)],[w1_definition,11,theory(equality)]) ).
cnf(745,plain,
apply(apply(apply(b,X),Y),apply(Z,U)) = apply(apply(apply(b,X),apply(apply(b,Y),Z)),U),
inference('PARAMODULATE',[status(thm)],[b_definition,14,theory(equality)]) ).
cnf(2867,plain,
apply(apply(apply(apply(apply(b,b),w1),X),apply(b,w1)),Y) = apply(apply(X,apply(Y,X)),apply(Y,X)),
inference('PARAMODULATE',[status(thm)],[122,19,theory(equality)]) ).
cnf(3204,plain,
apply(apply(w1,apply(X,Y)),apply(apply(b,apply(b,Z)),Y)) = apply(Z,apply(apply(w1,Y),apply(apply(b,w1),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,122,theory(equality)]),w1_definition,theory(equality)]) ).
cnf(6839,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,prove_strong_fixed_point]),2867,3204,b_definition,15,745,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL042-5 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.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 08:31:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-05-31T08:31:47
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-31T08:31:47
% 40.68/40.85
% 40.68/40.85
% 40.68/40.85 #||
% 40.68/40.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.68/40.85 % SZS output start Refutation
% See solution above
% 40.68/40.87 ||#
% 40.68/40.87
% 40.68/40.87 ; Summary of computation:
% 40.68/40.87 ; 15650 formulas have been input or derived (from 70 formulas).
% 40.68/40.87 ; 6839 (44%) were retained. Of these,
% 40.68/40.87 ; 551 ( 8%) were simplified or subsumed later,
% 40.68/40.87 ; 6288 (92%) are still being kept.
% 40.68/40.87 ;
% 40.68/40.87 ; Run time in seconds excluding printing time:
% 40.68/40.87 ; 0.001 0% Read assertion file (1 call)
% 40.68/40.87 ; 0.001 0% Assert (4 calls)
% 40.68/40.87 ; 1.114 3% Process new row (15,551 calls)
% 40.68/40.87 ; 0.030 0% Resolution (138 calls)
% 40.68/40.87 ; 0.471 1% Paramodulation (69 calls)
% 40.68/40.87 ; 0.009 0% Condensing (512 calls)
% 40.68/40.87 ; 0.083 0% Forward subsumption (512 calls)
% 40.68/40.87 ; 0.014 0% Backward subsumption (235 calls)
% 40.68/40.87 ; 0.004 0% Clause clause subsumption (886 calls)
% 40.68/40.87 ; 10.027 25% Forward simplification (15,540 calls)
% 40.68/40.87 ; 3.522 9% Backward simplification (6,839 calls)
% 40.68/40.87 ; 25.007 62% Ordering (2,369,023 calls)
% 40.68/40.87 ; 0.000 0% Sortal reasoning (32 calls)
% 40.68/40.87 ; 0.000 0% Purity testing (1 call)
% 40.68/40.87 ; 0.107 0% Other
% 40.68/40.87 ; 40.390 Total
% 40.68/40.87 ; 40.411 Real time
% 40.68/40.87 ;
% 40.68/40.87 ; Term-hash-array has 24,184 terms in all.
% 40.68/40.87 ; Feature-vector-row-index has 221 entries (221 at peak, 235 added, 14 deleted).
% 40.68/40.87 ; Feature-vector-row-index has 3,097 nodes (3,097 at peak, 3,284 added, 187 deleted).
% 40.68/40.87 ; Retrieved 933 possibly forward subsuming rows in 512 calls.
% 40.68/40.87 ; Retrieved 149 possibly backward subsumed rows in 235 calls.
% 40.68/40.87 ; Path-index has 22,610 entries (22,610 at peak, 24,494 added, 1,884 deleted).
% 40.68/40.87 ; Path-index has 2,213 nodes (2,213 at peak, 2,325 added, 112 deleted).
% 40.68/40.87 ; Trie-index has 22,610 entries (22,610 at peak, 24,494 added, 1,884 deleted).
% 40.68/40.87 ; Trie-index has 131,145 nodes (131,145 at peak, 142,568 added, 11,423 deleted).
% 40.68/40.87 ; Retrieved 4,582,693 generalization terms in 250,870 calls.
% 40.68/40.87 ; Retrieved 1,390,330 instance terms in 18,869 calls.
% 40.68/40.87 ; Retrieved 311,564 unifiable terms in 744 calls.
% 40.68/40.87 ;
% 40.68/40.87 ; The agenda of rows to process has 62 entries:
% 40.68/40.87 ; 11 with value 46 11 with value 50 2 with value 54
% 40.68/40.87 ; 6 with value 47 1 with value 51 1 with value 55
% 40.68/40.87 ; 5 with value 48 3 with value 52 1 with value 56
% 40.68/40.87 ; 16 with value 49 4 with value 53 1 with value 57
% 40.68/40.87 ; The agenda of rows to give has 6220 entries:
% 40.68/40.87 ; 17 with value (4 27) 351 with value (4 43) 8 with value (4 58)
% 40.68/40.87 ; 25 with value (4 28) 276 with value (4 44) 8 with value (4 59)
% 40.68/40.87 ; 55 with value (4 29) 293 with value (4 45) 7 with value (4 60)
% 40.68/40.87 ; 48 with value (4 30) 236 with value (4 46) 6 with value (4 61)
% 40.68/40.87 ; 94 with value (4 31) 123 with value (4 47) 9 with value (4 62)
% 40.68/40.87 ; 116 with value (4 32) 115 with value (4 48) 6 with value (4 63)
% 40.68/40.87 ; 179 with value (4 33) 106 with value (4 49) 3 with value (4 64)
% 40.68/40.87 ; 181 with value (4 34) 62 with value (4 50) 2 with value (4 65)
% 40.68/40.87 ; 287 with value (4 35) 65 with value (4 51) 5 with value (4 66)
% 40.68/40.87 ; 373 with value (4 36) 49 with value (4 52) 1 with value (4 67)
% 40.68/40.87 ; 331 with value (4 37) 31 with value (4 53) 1 with value (4 68)
% 40.68/40.87 ; 417 with value (4 38) 33 with value (4 54) 2 with value (4 69)
% 40.68/40.87 ; 525 with value (4 39) 23 with value (4 55) 3 with value (4 70)
% 40.68/40.87 ; 697 with value (4 40) 28 with value (4 56) 2 with value (4 72)
% 40.68/40.87 ; 558 with value (4 41) 22 with value (4 57) 1 with value (4 73)
% 40.68/40.87 ; 440 with value (4 42)
% 40.68/40.87 Evaluation took:
% 40.68/40.87 40.413 seconds of real time
% 40.68/40.87 37.510258 seconds of user run time
% 40.68/40.87 2.905148 seconds of system run time
% 40.68/40.87 [Run times include 3.834 seconds GC run time.]
% 40.68/40.87 0 calls to %EVAL
% 40.68/40.87 0 page faults and
% 40.68/40.87 2,772,004,544 bytes consed.
% 40.68/40.87 :PROOF-FOUND
% 40.68/40.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:32:28
% 40.68/40.87 :PROOF-FOUND
% 40.68/40.87 *
%------------------------------------------------------------------------------