%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL081-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.21s 0.57s
% Output : Refutation 0.21s
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',abstraction) ).
cnf(extensionality2,axiom,
( X = Y
| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
cnf(prove_TRC2c,negated_conjecture,
k(k(b)) != apply(abstraction,k(k(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC2c) ).
cnf(8,plain,
( k(X) = Y
| X != apply(Y,n(k(X),Y)) ),
inference('PARAMODULATE',[status(thm)],[extensionality2,k_definition,theory(equality)]) ).
cnf(10,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(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(58,plain,
apply(apply(apply(abstraction,k(k(X))),Y),Z) = X,
inference('PARAMODULATE',[status(thm)],[k_definition,14,theory(equality)]) ).
cnf(81,plain,
k(X) = apply(apply(abstraction,k(k(X))),Y),
inference('HYPERRESOLVE',[status(thm)],[8,58]) ).
cnf(82,plain,
$false,
inference('REWRITE',[status(thm)],[10,81,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL081-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 05:43:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T05:43:14
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-31T05:43:14
% 0.21/0.50
% 0.21/0.57 ; Recognized left identity assertion (= (|apply| |identity| ?X) ?X).
% 0.21/0.57
% 0.21/0.57 #||
% 0.21/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.57 % SZS output start Refutation
% See solution above
% 0.21/0.57 ||#
% 0.21/0.57
% 0.21/0.57 ; Summary of computation:
% 0.21/0.57 ; 304 formulas have been input or derived (from 24 formulas).
% 0.21/0.57 ; 82 (27%) were retained. Of these,
% 0.21/0.57 ; 19 (23%) were simplified or subsumed later,
% 0.21/0.57 ; 63 (77%) are still being kept.
% 0.21/0.57 ;
% 0.21/0.57 ; Run time in seconds excluding printing time:
% 0.21/0.57 ; 0.001 1% Read assertion file (1 call)
% 0.21/0.57 ; 0.000 0% Assert (5 calls)
% 0.21/0.57 ; 0.016 20% Process new row (228 calls)
% 0.21/0.57 ; 0.003 4% Resolution (46 calls)
% 0.21/0.57 ; 0.009 11% Paramodulation (23 calls)
% 0.21/0.57 ; 0.001 1% Condensing (41 calls)
% 0.21/0.57 ; 0.001 1% Forward subsumption (41 calls)
% 0.21/0.57 ; 0.001 1% Backward subsumption (20 calls)
% 0.21/0.57 ; 0.000 0% Clause clause subsumption (63 calls)
% 0.21/0.57 ; 0.005 6% Forward simplification (182 calls)
% 0.21/0.57 ; 0.003 4% Backward simplification (82 calls)
% 0.21/0.57 ; 0.016 20% Ordering (1,036 calls)
% 0.21/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.57 ; 0.000 0% Purity testing (1 call)
% 0.21/0.57 ; 0.024 30% Other
% 0.21/0.57 ; 0.080 Total
% 0.21/0.57 ; 0.083 Real time
% 0.21/0.57 ;
% 0.21/0.57 ; Term-hash-array has 357 terms in all.
% 0.21/0.57 ; Feature-vector-row-index has 14 entries (14 at peak, 20 added, 6 deleted).
% 0.21/0.57 ; Feature-vector-row-index has 86 nodes (86 at peak, 138 added, 52 deleted).
% 0.21/0.57 ; Retrieved 66 possibly forward subsuming rows in 41 calls.
% 0.21/0.57 ; Retrieved 9 possibly backward subsumed rows in 20 calls.
% 0.21/0.57 ; Path-index has 302 entries (310 at peak, 360 added, 58 deleted).
% 0.21/0.57 ; Path-index has 525 nodes (546 at peak, 597 added, 72 deleted).
% 0.21/0.57 ; Trie-index has 302 entries (310 at peak, 360 added, 58 deleted).
% 0.21/0.57 ; Trie-index has 1,305 nodes (1,375 at peak, 1,568 added, 263 deleted).
% 0.21/0.57 ; Retrieved 761 generalization terms in 1,113 calls.
% 0.21/0.57 ; Retrieved 261 instance terms in 140 calls.
% 0.21/0.57 ; Retrieved 1,382 unifiable terms in 196 calls.
% 0.21/0.57 ;
% 0.21/0.57 ; The agenda of rows to process has 19 entries:
% 0.21/0.57 ; 1 with value 18 3 with value 23 2 with value 34
% 0.21/0.57 ; 3 with value 20 4 with value 28 2 with value 37
% 0.21/0.57 ; 2 with value 22 2 with value 30
% 0.21/0.57 ; The agenda of rows to give has 45 entries:
% 0.21/0.57 ; 1 with value (4 18) 1 with value (4 26) 5 with value (4 33)
% 0.21/0.57 ; 2 with value (4 20) 2 with value (4 28) 1 with value (4 34)
% 0.21/0.57 ; 2 with value (4 22) 3 with value (4 29) 2 with value (4 36)
% 0.21/0.57 ; 2 with value (4 23) 7 with value (4 30) 2 with value (4 40)
% 0.21/0.57 ; 2 with value (4 24) 4 with value (4 31) 2 with value (4 42)
% 0.21/0.57 ; 1 with value (4 25) 6 with value (4 32)
% 0.21/0.57 Evaluation took:
% 0.21/0.57 0.083 seconds of real time
% 0.21/0.57 0.070981 seconds of user run time
% 0.21/0.57 0.012034 seconds of system run time
% 0.21/0.57 0 calls to %EVAL
% 0.21/0.57 0 page faults and
% 0.21/0.57 4,225,432 bytes consed.
% 0.21/0.57 :PROOF-FOUND
% 0.21/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T05:43:14
% 0.21/0.57 :PROOF-FOUND
% 0.21/0.57 *
%------------------------------------------------------------------------------