TSTP Solution File: COL020-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 6 equ; 3 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; 4 con; 0-2 aty)
% Number of variables : 14 ( 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(c_definition,axiom,
apply(apply(apply(c,X),Y),Z) = apply(apply(X,Z),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_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(52,plain,
apply(X,Y) != apply(apply(apply(c,apply(b,combinator)),Y),X),
inference('PARAMODULATE',[status(thm)],[5,c_definition,theory(equality)]) ).
cnf(62,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[52,s_definition]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COL020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 04:53:29 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 2022-05-31T04:53:29
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-31T04:53:29
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 #||
% 0.18/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53 % SZS output start Refutation
% See solution above
% 0.18/0.53 ||#
% 0.18/0.53
% 0.18/0.53 ; Summary of computation:
% 0.18/0.53 ; 91 formulas have been input or derived (from 7 formulas).
% 0.18/0.53 ; 62 (68%) were retained. Of these,
% 0.18/0.53 ; 62 (100%) are still being kept.
% 0.18/0.53 ;
% 0.18/0.53 ; Run time in seconds:
% 0.18/0.53 ; 0.001 1% Read assertion file (1 call)
% 0.18/0.53 ; 0.000 0% Assert (4 calls)
% 0.18/0.53 ; 0.009 13% Process new row (76 calls)
% 0.18/0.53 ; 0.001 1% Resolution (12 calls)
% 0.18/0.53 ; 0.003 4% Paramodulation (6 calls)
% 0.18/0.53 ; 0.012 17% Forward simplification (76 calls)
% 0.18/0.53 ; 0.005 7% Backward simplification (62 calls)
% 0.18/0.53 ; 0.018 26% Ordering (1,895 calls)
% 0.18/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.53 ; 0.000 0% Purity testing (1 call)
% 0.18/0.53 ; 0.021 30% Other
% 0.18/0.53 ; 0.070 Total
% 0.18/0.53 ; 0.071 Real time
% 0.18/0.53 ;
% 0.18/0.53 ; Term-hash-array has 316 terms in all.
% 0.18/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.53 ; Path-index has 320 entries (320 at peak, 320 added, 0 deleted).
% 0.18/0.53 ; Path-index has 229 nodes (229 at peak, 229 added, 0 deleted).
% 0.18/0.53 ; Trie-index has 320 entries (320 at peak, 320 added, 0 deleted).
% 0.18/0.53 ; Trie-index has 1,401 nodes (1,401 at peak, 1,401 added, 0 deleted).
% 0.18/0.53 ; Retrieved 1,702 generalization terms in 576 calls.
% 0.18/0.53 ; Retrieved 460 instance terms in 157 calls.
% 0.18/0.53 ; Retrieved 539 unifiable terms in 53 calls.
% 0.18/0.53 ;
% 0.18/0.53 ; The agenda of rows to process has 14 entries:
% 0.18/0.53 ; 1 with value 18 2 with value 24 5 with value 27
% 0.18/0.53 ; 1 with value 23 1 with value 26 4 with value 29
% 0.18/0.53 ; The agenda of rows to give has 55 entries:
% 0.18/0.53 ; 4 with value (4 21) 11 with value (4 25) 3 with value (4 29)
% 0.18/0.53 ; 1 with value (4 22) 9 with value (4 26) 2 with value (4 30)
% 0.18/0.53 ; 8 with value (4 23) 8 with value (4 27) 2 with value (4 31)
% 0.18/0.53 ; 2 with value (4 24) 5 with value (4 28)
% 0.18/0.53 Evaluation took:
% 0.18/0.53 0.072 seconds of real time
% 0.18/0.53 0.062792 seconds of user run time
% 0.18/0.53 0.009287 seconds of system run time
% 0.18/0.53 0 calls to %EVAL
% 0.18/0.53 0 page faults and
% 0.18/0.53 3,337,584 bytes consed.
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T04:53:30
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 *
%------------------------------------------------------------------------------