%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 00:41:38 EDT 2022
% Result : Unsatisfiable 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 2 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(h_definition,axiom,
apply(apply(apply(h,X),Y),Z) = apply(apply(apply(X,Y),Z),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(4,plain,
apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(12,plain,
apply(apply(apply(h,apply(b,X)),Y),Z) = apply(apply(X,apply(Y,Z)),Y),
inference('PARAMODULATE',[status(thm)],[h_definition,b_definition,theory(equality)]) ).
cnf(116,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[4,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 15:53:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T15:53:58
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-31T15:53:58
% 0.37/0.57
% 0.37/0.57
% 0.37/0.57 #||
% 0.37/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.57 % SZS output start Refutation
% See solution above
% 0.37/0.57 ||#
% 0.37/0.57
% 0.37/0.57 ; Summary of computation:
% 0.37/0.57 ; 280 formulas have been input or derived (from 11 formulas).
% 0.37/0.57 ; 116 (41%) were retained. Of these,
% 0.37/0.57 ; 1 ( 1%) were simplified or subsumed later,
% 0.37/0.57 ; 115 (99%) are still being kept.
% 0.37/0.57 ;
% 0.37/0.57 ; Run time in seconds:
% 0.37/0.57 ; 0.001 1% Read assertion file (1 call)
% 0.37/0.57 ; 0.000 0% Assert (3 calls)
% 0.37/0.57 ; 0.018 17% Process new row (201 calls)
% 0.37/0.57 ; 0.000 0% Resolution (20 calls)
% 0.37/0.57 ; 0.005 5% Paramodulation (10 calls)
% 0.37/0.57 ; 0.024 22% Forward simplification (201 calls)
% 0.37/0.57 ; 0.003 3% Backward simplification (116 calls)
% 0.37/0.57 ; 0.034 31% Ordering (2,829 calls)
% 0.37/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.57 ; 0.000 0% Purity testing (1 call)
% 0.37/0.57 ; 0.024 22% Other
% 0.37/0.57 ; 0.109 Total
% 0.37/0.57 ; 0.110 Real time
% 0.37/0.57 ;
% 0.37/0.57 ; Term-hash-array has 552 terms in all.
% 0.37/0.57 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.37/0.57 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.37/0.57 ; Path-index has 552 entries (552 at peak, 555 added, 3 deleted).
% 0.37/0.57 ; Path-index has 321 nodes (321 at peak, 321 added, 0 deleted).
% 0.37/0.57 ; Trie-index has 552 entries (552 at peak, 555 added, 3 deleted).
% 0.37/0.57 ; Trie-index has 2,555 nodes (2,555 at peak, 2,575 added, 20 deleted).
% 0.37/0.57 ; Retrieved 4,855 generalization terms in 1,888 calls.
% 0.37/0.57 ; Retrieved 558 instance terms in 235 calls.
% 0.37/0.57 ; Retrieved 1,863 unifiable terms in 95 calls.
% 0.37/0.57 ;
% 0.37/0.57 ; The agenda of rows to process has 77 entries:
% 0.37/0.57 ; 1 with value 21 1 with value 30 8 with value 37
% 0.37/0.57 ; 1 with value 24 9 with value 31 3 with value 38
% 0.37/0.57 ; 1 with value 25 7 with value 32 4 with value 39
% 0.37/0.57 ; 5 with value 26 2 with value 33 3 with value 40
% 0.37/0.57 ; 6 with value 27 10 with value 34 1 with value 41
% 0.37/0.57 ; 2 with value 28 3 with value 35 1 with value 42
% 0.37/0.57 ; 7 with value 29 1 with value 36 1 with value 43
% 0.37/0.57 ; The agenda of rows to give has 104 entries:
% 0.37/0.57 ; 2 with value (4 23) 12 with value (4 29) 4 with value (4 35)
% 0.37/0.57 ; 6 with value (4 24) 7 with value (4 30) 2 with value (4 36)
% 0.37/0.57 ; 11 with value (4 25) 5 with value (4 31) 1 with value (4 39)
% 0.37/0.57 ; 20 with value (4 26) 8 with value (4 32) 1 with value (4 41)
% 0.37/0.57 ; 10 with value (4 27) 1 with value (4 33) 1 with value (4 44)
% 0.37/0.57 ; 12 with value (4 28) 1 with value (4 34)
% 0.37/0.57 Evaluation took:
% 0.37/0.57 0.11 seconds of real time
% 0.37/0.57 0.09875 seconds of user run time
% 0.37/0.57 0.01117 seconds of system run time
% 0.37/0.57 0 calls to %EVAL
% 0.37/0.57 0 page faults and
% 0.37/0.57 5,246,000 bytes consed.
% 0.37/0.57 :PROOF-FOUND
% 0.37/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T15:53:58
% 0.37/0.57 :PROOF-FOUND
% 0.37/0.57 *
%------------------------------------------------------------------------------