TSTP Solution File: COL019-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 00:41:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
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(t_definition,axiom,
apply(apply(t,X),Y) = apply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(5,plain,
apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(14,plain,
apply(apply(apply(s,t),X),Y) = apply(apply(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[t_definition,s_definition,theory(equality)]) ).
cnf(42,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[5,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 14:46:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T14:46:09
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T14:46:09
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 86 formulas have been input or derived (from 7 formulas).
% 0.19/0.52 ; 42 (49%) were retained. Of these,
% 0.19/0.52 ; 42 (100%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (4 calls)
% 0.19/0.52 ; 0.010 20% Process new row (52 calls)
% 0.19/0.52 ; 0.000 0% Resolution (12 calls)
% 0.19/0.52 ; 0.003 6% Paramodulation (6 calls)
% 0.19/0.53 ; 0.005 10% Forward simplification (52 calls)
% 0.19/0.53 ; 0.004 8% Backward simplification (42 calls)
% 0.19/0.53 ; 0.004 8% Ordering (716 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.022 45% Other
% 0.19/0.53 ; 0.049 Total
% 0.19/0.53 ; 0.050 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 216 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.53 ; Path-index has 220 entries (220 at peak, 220 added, 0 deleted).
% 0.19/0.53 ; Path-index has 217 nodes (217 at peak, 217 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 220 entries (220 at peak, 220 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 947 nodes (947 at peak, 947 added, 0 deleted).
% 0.19/0.53 ; Retrieved 752 generalization terms in 363 calls.
% 0.19/0.53 ; Retrieved 189 instance terms in 99 calls.
% 0.19/0.53 ; Retrieved 466 unifiable terms in 49 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 33 entries:
% 0.19/0.53 ; 1 with value 16 5 with value 21 1 with value 27
% 0.19/0.53 ; 1 with value 17 2 with value 22 5 with value 28
% 0.19/0.53 ; 1 with value 18 2 with value 23 3 with value 29
% 0.19/0.53 ; 1 with value 19 3 with value 24 1 with value 30
% 0.19/0.53 ; 1 with value 20 6 with value 26
% 0.19/0.53 ; The agenda of rows to give has 35 entries:
% 0.19/0.53 ; 1 with value (4 19) 1 with value (4 24) 3 with value (4 28)
% 0.19/0.53 ; 1 with value (4 20) 6 with value (4 25) 3 with value (4 29)
% 0.19/0.53 ; 2 with value (4 21) 4 with value (4 26) 2 with value (4 30)
% 0.19/0.53 ; 2 with value (4 22) 4 with value (4 27) 2 with value (4 31)
% 0.19/0.53 ; 4 with value (4 23)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.05 seconds of real time
% 0.19/0.53 0.042105 seconds of user run time
% 0.19/0.53 0.008245 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 2,542,904 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T14:46:09
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------