TSTP Solution File: COL063-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL063-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 00:41:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 8 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(t_definition,axiom,
apply(apply(t,X),Y) = apply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
cnf(prove_f_combinator,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_f_combinator) ).
cnf(4,plain,
apply(apply(apply(apply(apply(b,apply(t,t)),b),apply(b,apply(t,x))),y),z) != apply(apply(z,y),x),
inference('REWRITE',[status(thm)],[prove_f_combinator,b_definition,theory(equality)]) ).
cnf(7,plain,
apply(apply(apply(b,apply(t,X)),Y),Z) = apply(apply(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[t_definition,b_definition,theory(equality)]) ).
cnf(9,plain,
apply(apply(apply(b,X),Y),apply(Z,U)) = apply(X,apply(apply(apply(b,Y),Z),U)),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(10,plain,
apply(apply(apply(apply(apply(apply(b,b),b),apply(t,x)),t),y),z) != apply(apply(z,y),x),
inference('REWRITE',[status(thm)],[4,t_definition,9,theory(equality)]) ).
cnf(12,plain,
apply(apply(apply(apply(apply(b,b),X),Y),Z),U) = apply(apply(X,Y),apply(Z,U)),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(13,plain,
$false,
inference('REWRITE',[status(thm)],[10,t_definition,7,12,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : COL063-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.16 % Command : run-snark %s %d
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 600
% 0.13/0.38 % DateTime : Tue May 31 14:58:28 EDT 2022
% 0.13/0.38 % CPUTime :
% 0.20/0.54 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 *
% 0.20/0.55 *
% 0.20/0.56 #<PACKAGE "SNARK-USER">
% 0.20/0.56 *
% 0.20/0.56 SNARK-TPTP-OPTIONS
% 0.20/0.56 *
% 0.20/0.56 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.56 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.56 (USE-FACTORING :POS)
% 0.20/0.56 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.56 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.56 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.56 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.56 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.56 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.56 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.56 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.56 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.56 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.56 *
% 0.20/0.56 "."
% 0.20/0.56 *
% 0.20/0.56 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T14:58:28
% 0.20/0.56 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-31T14:58:28
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 #||
% 0.20/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.59 % SZS output start Refutation
% See solution above
% 0.20/0.59 ||#
% 0.20/0.59
% 0.20/0.59 ; Summary of computation:
% 0.20/0.59 ; 18 formulas have been input or derived (from 3 formulas).
% 0.20/0.59 ; 13 (72%) were retained. Of these,
% 0.20/0.59 ; 3 (23%) were simplified or subsumed later,
% 0.20/0.59 ; 10 (77%) are still being kept.
% 0.20/0.59 ;
% 0.20/0.59 ; Run time in seconds excluding printing time:
% 0.20/0.59 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.59 ; 0.000 0% Assert (3 calls)
% 0.20/0.59 ; 0.003 10% Process new row (15 calls)
% 0.20/0.59 ; 0.001 3% Resolution (4 calls)
% 0.20/0.59 ; 0.000 0% Paramodulation (2 calls)
% 0.20/0.59 ; 0.000 0% Forward simplification (15 calls)
% 0.20/0.59 ; 0.003 10% Backward simplification (12 calls)
% 0.20/0.59 ; 0.001 3% Ordering (158 calls)
% 0.20/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.59 ; 0.000 0% Purity testing (1 call)
% 0.20/0.59 ; 0.022 71% Other
% 0.20/0.59 ; 0.031 Total
% 0.20/0.59 ; 0.032 Real time
% 0.20/0.59 ;
% 0.20/0.59 ; Term-hash-array has 68 terms in all.
% 0.20/0.59 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.59 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.59 ; Path-index has 56 entries (65 at peak, 82 added, 26 deleted).
% 0.20/0.59 ; Path-index has 178 nodes (200 at peak, 245 added, 67 deleted).
% 0.20/0.59 ; Trie-index has 56 entries (65 at peak, 82 added, 26 deleted).
% 0.20/0.59 ; Trie-index has 218 nodes (265 at peak, 330 added, 112 deleted).
% 0.20/0.59 ; Retrieved 81 generalization terms in 100 calls.
% 0.20/0.59 ; Retrieved 53 instance terms in 25 calls.
% 0.20/0.59 ; Retrieved 25 unifiable terms in 15 calls.
% 0.20/0.59 ;
% 0.20/0.59 ; The agenda of rows to process has 2 entries:
% 0.20/0.59 ; 2 with value 26
% 0.20/0.59 ; The agenda of rows to give has 7 entries:
% 0.20/0.59 ; 1 with value (4 20) 2 with value (4 25) 2 with value (4 26)
% 0.20/0.59 ; 2 with value (4 21)
% 0.20/0.59 Evaluation took:
% 0.20/0.59 0.033 seconds of real time
% 0.20/0.59 0.027527 seconds of user run time
% 0.20/0.59 0.004915 seconds of system run time
% 0.20/0.59 0 calls to %EVAL
% 0.20/0.59 0 page faults and
% 0.20/0.59 2,276,512 bytes consed.
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T14:58:28
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 *
%------------------------------------------------------------------------------