TSTP Solution File: COL081-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL081-1 : 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 00:41:49 EDT 2022
% Result : Unsatisfiable 0.77s 0.97s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 11 equ; 4 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 : 17 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_definition,axiom,
apply(k(X),Y) = X,
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',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/Axioms/COL001-0.ax',abstraction) ).
cnf(extensionality2,axiom,
( X = Y
| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',extensionality2) ).
cnf(prove_TRC2c,negated_conjecture,
k(k(b)) != apply(abstraction,k(k(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2c) ).
cnf(44,plain,
( k(X) = Y
| X != apply(Y,n(k(X),Y)) ),
inference('PARAMODULATE',[status(thm)],[extensionality2,k_definition,theory(equality)]) ).
cnf(48,plain,
k(b) != apply(apply(abstraction,k(k(b))),n(k(k(b)),apply(abstraction,k(k(b))))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[extensionality2,prove_TRC2c]),k_definition,theory(equality)]) ).
cnf(52,plain,
apply(apply(apply(abstraction,k(X)),Y),Z) = apply(X,apply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[abstraction,k_definition,theory(equality)]) ).
cnf(597,plain,
apply(apply(apply(abstraction,k(k(X))),Y),Z) = X,
inference('PARAMODULATE',[status(thm)],[k_definition,52,theory(equality)]) ).
cnf(671,plain,
k(X) = apply(apply(abstraction,k(k(X))),Y),
inference('HYPERRESOLVE',[status(thm)],[44,597]) ).
cnf(672,plain,
$false,
inference('REWRITE',[status(thm)],[48,671,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL081-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.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 09:19:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T09:19:56
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-31T09:19:56
% 0.19/0.47
% 0.77/0.97 ; Recognized left identity assertion (= (|apply| |identity| ?X) ?X).
% 0.77/0.97
% 0.77/0.97 #||
% 0.77/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.97 % SZS output start Refutation
% See solution above
% 0.77/0.97 ||#
% 0.77/0.97
% 0.77/0.97 ; Summary of computation:
% 0.77/0.97 ; 1737 formulas have been input or derived (from 88 formulas).
% 0.77/0.97 ; 672 (39%) were retained. Of these,
% 0.77/0.97 ; 147 (22%) were simplified or subsumed later,
% 0.77/0.97 ; 525 (78%) are still being kept.
% 0.77/0.97 ;
% 0.77/0.97 ; Run time in seconds excluding printing time:
% 0.77/0.97 ; 0.003 1% Read assertion file (1 call)
% 0.77/0.97 ; 0.000 0% Assert (12 calls)
% 0.77/0.97 ; 0.091 18% Process new row (1,534 calls)
% 0.77/0.97 ; 0.021 4% Resolution (174 calls)
% 0.77/0.97 ; 0.029 6% Paramodulation (87 calls)
% 0.77/0.97 ; 0.000 0% Factoring (1 call)
% 0.77/0.97 ; 0.000 0% Condensing (105 calls)
% 0.77/0.97 ; 0.006 1% Forward subsumption (105 calls)
% 0.77/0.97 ; 0.001 0% Backward subsumption (65 calls)
% 0.77/0.97 ; 0.000 0% Clause clause subsumption (177 calls)
% 0.77/0.97 ; 0.120 23% Forward simplification (1,263 calls)
% 0.77/0.97 ; 0.049 10% Backward simplification (672 calls)
% 0.77/0.97 ; 0.163 32% Ordering (30,400 calls)
% 0.77/0.97 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.97 ; 0.000 0% Purity testing (1 call)
% 0.77/0.97 ; 0.030 6% Other
% 0.77/0.97 ; 0.513 Total
% 0.77/0.97 ; 0.514 Real time
% 0.77/0.97 ;
% 0.77/0.97 ; Term-hash-array has 2,760 terms in all.
% 0.77/0.97 ; Feature-vector-row-index has 51 entries (51 at peak, 65 added, 14 deleted).
% 0.77/0.97 ; Feature-vector-row-index has 403 nodes (403 at peak, 501 added, 98 deleted).
% 0.77/0.97 ; Retrieved 164 possibly forward subsuming rows in 105 calls.
% 0.77/0.97 ; Retrieved 30 possibly backward subsumed rows in 65 calls.
% 0.77/0.97 ; Path-index has 2,315 entries (2,323 at peak, 2,899 added, 584 deleted).
% 0.77/0.97 ; Path-index has 3,734 nodes (3,755 at peak, 4,176 added, 442 deleted).
% 0.77/0.97 ; Trie-index has 2,315 entries (2,323 at peak, 2,899 added, 584 deleted).
% 0.77/0.97 ; Trie-index has 12,376 nodes (12,446 at peak, 15,255 added, 2,879 deleted).
% 0.77/0.97 ; Retrieved 19,200 generalization terms in 10,275 calls.
% 0.77/0.97 ; Retrieved 6,074 instance terms in 1,234 calls.
% 0.77/0.97 ; Retrieved 8,955 unifiable terms in 744 calls.
% 0.77/0.97 ;
% 0.77/0.97 ; The agenda of rows to process has 22 entries:
% 0.77/0.97 ; 1 with value 18 3 with value 23 3 with value 30
% 0.77/0.97 ; 3 with value 20 4 with value 28 3 with value 34
% 0.77/0.97 ; 2 with value 22 1 with value 29 2 with value 37
% 0.77/0.97 ; The agenda of rows to give has 455 entries:
% 0.77/0.97 ; 1 with value (4 18) 8 with value (4 35) 11 with value (4 50)
% 0.77/0.97 ; 17 with value (4 20) 8 with value (4 36) 6 with value (4 51)
% 0.77/0.97 ; 33 with value (4 21) 15 with value (4 37) 7 with value (4 52)
% 0.77/0.97 ; 21 with value (4 22) 12 with value (4 38) 3 with value (4 53)
% 0.77/0.97 ; 22 with value (4 23) 10 with value (4 39) 4 with value (4 54)
% 0.77/0.97 ; 10 with value (4 24) 18 with value (4 40) 9 with value (4 55)
% 0.77/0.97 ; 16 with value (4 25) 13 with value (4 41) 3 with value (4 56)
% 0.77/0.97 ; 12 with value (4 26) 11 with value (4 42) 2 with value (4 57)
% 0.77/0.97 ; 12 with value (4 27) 7 with value (4 43) 1 with value (4 58)
% 0.77/0.97 ; 11 with value (4 28) 5 with value (4 44) 1 with value (4 61)
% 0.77/0.97 ; 10 with value (4 29) 5 with value (4 45) 3 with value (4 64)
% 0.77/0.97 ; 24 with value (4 30) 6 with value (4 46) 1 with value (4 66)
% 0.77/0.97 ; 18 with value (4 31) 12 with value (4 47) 2 with value (4 67)
% 0.77/0.97 ; 18 with value (4 32) 8 with value (4 48) 3 with value (4 69)
% 0.77/0.97 ; 17 with value (4 33) 9 with value (4 49) 1 with value (4 72)
% 0.77/0.97 ; 9 with value (4 34)
% 0.77/0.97 Evaluation took:
% 0.77/0.97 0.515 seconds of real time
% 0.77/0.97 0.454935 seconds of user run time
% 0.77/0.97 0.060169 seconds of system run time
% 0.77/0.97 [Run times include 0.018 seconds GC run time.]
% 0.77/0.97 0 calls to %EVAL
% 0.77/0.97 0 page faults and
% 0.77/0.97 26,464,824 bytes consed.
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T09:19:56
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 *
%------------------------------------------------------------------------------