TSTP Solution File: COL080-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL080-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 00:41:48 EDT 2022
% Result : Unsatisfiable 0.43s 0.61s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 9 equ; 3 neg)
% Maximal clause size : 2 ( 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; 2 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_definition,axiom,
apply(k(X),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
cnf(abstraction,axiom,
apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,k(Z)),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).
cnf(extensionality2,axiom,
( X = Y
| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
cnf(prove_TRC2b,negated_conjecture,
k(b) != apply(abstraction,apply(abstraction,k(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2b) ).
cnf(10,plain,
b != apply(apply(abstraction,apply(abstraction,k(b))),n(k(b),apply(abstraction,apply(abstraction,k(b))))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[extensionality2,prove_TRC2b]),k_definition,theory(equality)]) ).
cnf(14,plain,
apply(apply(apply(abstraction,k(X)),Y),Z) = apply(X,apply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[abstraction,k_definition,theory(equality)]) ).
cnf(62,plain,
apply(apply(apply(abstraction,apply(abstraction,k(X))),Y),Z) = apply(X,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[abstraction,14,theory(equality)]),k_definition,theory(equality)]) ).
cnf(157,plain,
apply(apply(abstraction,apply(abstraction,k(X))),Y) = X,
inference('HYPERRESOLVE',[status(thm)],[extensionality2,62]) ).
cnf(158,plain,
$false,
inference('REWRITE',[status(thm)],[10,157,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL080-2 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 07:24:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T07:24:56
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-31T07:24:56
% 0.19/0.48
% 0.43/0.61 ; Recognized left identity assertion (= (|apply| |identity| ?X) ?X).
% 0.43/0.61
% 0.43/0.61 #||
% 0.43/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61 % SZS output start Refutation
% See solution above
% 0.43/0.61 ||#
% 0.43/0.61
% 0.43/0.61 ; Summary of computation:
% 0.43/0.61 ; 616 formulas have been input or derived (from 34 formulas).
% 0.43/0.61 ; 158 (26%) were retained. Of these,
% 0.43/0.61 ; 30 (19%) were simplified or subsumed later,
% 0.43/0.61 ; 128 (81%) are still being kept.
% 0.43/0.61 ;
% 0.43/0.61 ; Run time in seconds:
% 0.43/0.61 ; 0.001 1% Read assertion file (1 call)
% 0.43/0.61 ; 0.001 1% Assert (5 calls)
% 0.43/0.61 ; 0.033 24% Process new row (488 calls)
% 0.43/0.61 ; 0.003 2% Resolution (66 calls)
% 0.43/0.61 ; 0.013 10% Paramodulation (33 calls)
% 0.43/0.61 ; 0.001 1% Condensing (59 calls)
% 0.43/0.61 ; 0.004 3% Forward subsumption (59 calls)
% 0.43/0.61 ; 0.000 0% Backward subsumption (26 calls)
% 0.43/0.61 ; 0.001 1% Clause clause subsumption (101 calls)
% 0.43/0.61 ; 0.017 12% Forward simplification (367 calls)
% 0.43/0.61 ; 0.012 9% Backward simplification (158 calls)
% 0.43/0.61 ; 0.026 19% Ordering (3,167 calls)
% 0.43/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.61 ; 0.000 0% Purity testing (1 call)
% 0.43/0.61 ; 0.024 18% Other
% 0.43/0.61 ; 0.136 Total
% 0.43/0.61 ; 0.137 Real time
% 0.43/0.61 ;
% 0.43/0.61 ; Term-hash-array has 664 terms in all.
% 0.43/0.61 ; Feature-vector-row-index has 20 entries (20 at peak, 26 added, 6 deleted).
% 0.43/0.61 ; Feature-vector-row-index has 146 nodes (146 at peak, 198 added, 52 deleted).
% 0.43/0.61 ; Retrieved 109 possibly forward subsuming rows in 59 calls.
% 0.43/0.61 ; Retrieved 12 possibly backward subsumed rows in 26 calls.
% 0.43/0.61 ; Path-index has 582 entries (590 at peak, 669 added, 87 deleted).
% 0.43/0.61 ; Path-index has 717 nodes (744 at peak, 803 added, 86 deleted).
% 0.43/0.61 ; Trie-index has 582 entries (590 at peak, 669 added, 87 deleted).
% 0.43/0.61 ; Trie-index has 2,621 nodes (2,692 at peak, 3,002 added, 381 deleted).
% 0.43/0.61 ; Retrieved 2,713 generalization terms in 2,887 calls.
% 0.43/0.61 ; Retrieved 887 instance terms in 309 calls.
% 0.43/0.61 ; Retrieved 3,030 unifiable terms in 314 calls.
% 0.43/0.61 ;
% 0.43/0.61 ; The agenda of rows to process has 27 entries:
% 0.43/0.61 ; 1 with value 20 2 with value 28 1 with value 34
% 0.43/0.61 ; 2 with value 21 1 with value 30 2 with value 39
% 0.43/0.61 ; 1 with value 23 2 with value 31 2 with value 41
% 0.43/0.61 ; 1 with value 25 1 with value 32 2 with value 48
% 0.43/0.61 ; 2 with value 26 3 with value 33 2 with value 50
% 0.43/0.61 ; 2 with value 27
% 0.43/0.61 ; The agenda of rows to give has 104 entries:
% 0.43/0.61 ; 1 with value (4 18) 9 with value (4 30) 1 with value (4 37)
% 0.43/0.61 ; 4 with value (4 23) 18 with value (4 31) 1 with value (4 38)
% 0.43/0.61 ; 4 with value (4 24) 11 with value (4 32) 2 with value (4 40)
% 0.43/0.61 ; 3 with value (4 25) 8 with value (4 33) 1 with value (4 41)
% 0.43/0.61 ; 4 with value (4 26) 5 with value (4 34) 5 with value (4 42)
% 0.43/0.61 ; 4 with value (4 28) 4 with value (4 35) 2 with value (4 48)
% 0.43/0.61 ; 10 with value (4 29) 5 with value (4 36) 2 with value (4 50)
% 0.43/0.61 Evaluation took:
% 0.43/0.61 0.137 seconds of real time
% 0.43/0.61 0.121301 seconds of user run time
% 0.43/0.61 0.016284 seconds of system run time
% 0.43/0.61 0 calls to %EVAL
% 0.43/0.61 0 page faults and
% 0.43/0.61 7,162,016 bytes consed.
% 0.43/0.61 :PROOF-FOUND
% 0.43/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T07:24:56
% 0.43/0.61 :PROOF-FOUND
% 0.43/0.61 *
%------------------------------------------------------------------------------