%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.41s 0.57s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_definition,axiom,
apply(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,apply(k,Z)),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).
cnf(prove_diagonal_combinator,negated_conjecture,
apply(apply(X,b(X)),c(X)) != apply(b(X),b(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_diagonal_combinator) ).
cnf(8,plain,
apply(apply(apply(abstraction,X),apply(k,Y)),Z) = apply(apply(X,apply(k,Z)),Y),
inference('PARAMODULATE',[status(thm)],[abstraction,k_definition,theory(equality)]) ).
cnf(70,plain,
apply(apply(apply(apply(abstraction,abstraction),k),X),Y) = apply(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,abstraction,theory(equality)]),k_definition,theory(equality)]) ).
cnf(93,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[prove_diagonal_combinator,70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 12:42:11 EDT 2022
% 0.18/0.34 % 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 2022-05-31T12:42:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-31T12:42:11
% 0.41/0.57
% 0.41/0.57
% 0.41/0.57 #||
% 0.41/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57 % SZS output start Refutation
% See solution above
% 0.41/0.57 ||#
% 0.41/0.57
% 0.41/0.57 ; Summary of computation:
% 0.41/0.57 ; 159 formulas have been input or derived (from 12 formulas).
% 0.41/0.57 ; 93 (58%) were retained. Of these,
% 0.41/0.57 ; 3 ( 3%) were simplified or subsumed later,
% 0.41/0.57 ; 90 (97%) are still being kept.
% 0.41/0.57 ;
% 0.41/0.57 ; Run time in seconds excluding printing time:
% 0.41/0.57 ; 0.002 2% Read assertion file (1 call)
% 0.41/0.57 ; 0.000 0% Assert (3 calls)
% 0.41/0.57 ; 0.013 13% Process new row (144 calls)
% 0.41/0.57 ; 0.000 0% Resolution (22 calls)
% 0.41/0.57 ; 0.002 2% Paramodulation (11 calls)
% 0.41/0.57 ; 0.016 16% Forward simplification (144 calls)
% 0.41/0.57 ; 0.011 11% Backward simplification (93 calls)
% 0.41/0.57 ; 0.033 33% Ordering (2,711 calls)
% 0.41/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.57 ; 0.000 0% Purity testing (1 call)
% 0.41/0.57 ; 0.024 24% Other
% 0.41/0.57 ; 0.101 Total
% 0.41/0.57 ; 0.103 Real time
% 0.41/0.57 ;
% 0.41/0.57 ; Term-hash-array has 459 terms in all.
% 0.41/0.57 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.41/0.57 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.41/0.57 ; Path-index has 447 entries (447 at peak, 462 added, 15 deleted).
% 0.41/0.57 ; Path-index has 974 nodes (974 at peak, 997 added, 23 deleted).
% 0.41/0.57 ; Trie-index has 447 entries (447 at peak, 462 added, 15 deleted).
% 0.41/0.57 ; Trie-index has 2,564 nodes (2,564 at peak, 2,682 added, 118 deleted).
% 0.41/0.57 ; Retrieved 1,518 generalization terms in 1,332 calls.
% 0.41/0.57 ; Retrieved 653 instance terms in 187 calls.
% 0.41/0.57 ; Retrieved 759 unifiable terms in 101 calls.
% 0.41/0.57 ;
% 0.41/0.57 ; The agenda of rows to process has 14 entries:
% 0.41/0.57 ; 1 with value 12 3 with value 30 1 with value 34
% 0.41/0.57 ; 1 with value 16 2 with value 31 2 with value 35
% 0.41/0.57 ; 1 with value 23 1 with value 32 1 with value 39
% 0.41/0.57 ; 1 with value 28
% 0.41/0.57 ; The agenda of rows to give has 78 entries:
% 0.41/0.57 ; 4 with value (4 22) 3 with value (4 29) 5 with value (4 36)
% 0.41/0.57 ; 6 with value (4 23) 6 with value (4 31) 1 with value (4 37)
% 0.41/0.57 ; 1 with value (4 24) 9 with value (4 32) 2 with value (4 38)
% 0.41/0.57 ; 2 with value (4 25) 5 with value (4 33) 2 with value (4 44)
% 0.41/0.57 ; 3 with value (4 26) 14 with value (4 34) 1 with value (4 45)
% 0.41/0.57 ; 2 with value (4 27) 6 with value (4 35) 1 with value (4 53)
% 0.41/0.57 ; 5 with value (4 28)
% 0.41/0.57 Evaluation took:
% 0.41/0.57 0.103 seconds of real time
% 0.41/0.57 0.088557 seconds of user run time
% 0.41/0.57 0.014308 seconds of system run time
% 0.41/0.57 0 calls to %EVAL
% 0.41/0.57 0 page faults and
% 0.41/0.57 4,627,544 bytes consed.
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T12:42:12
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 *
%------------------------------------------------------------------------------