TSTP Solution File: COL062-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL062-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% 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 : 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 : 12 ( 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_c_combinator,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) != apply(apply(x,z),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_combinator) ).
cnf(4,plain,
apply(apply(apply(apply(apply(apply(apply(b,b),t),apply(apply(b,b),t)),apply(apply(b,b),t)),x),y),z) != apply(apply(x,z),y),
inference('REWRITE',[status(thm)],[prove_c_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(11,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(12,plain,
$false,
inference('REWRITE',[status(thm)],[4,7,t_definition,b_definition,11,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL062-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 13:48:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.46 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T13:48:17
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-31T13:48:17
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 #||
% 0.21/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 % SZS output start Refutation
% See solution above
% 0.21/0.50 ||#
% 0.21/0.50
% 0.21/0.50 ; Summary of computation:
% 0.21/0.50 ; 17 formulas have been input or derived (from 3 formulas).
% 0.21/0.50 ; 12 (71%) were retained. Of these,
% 0.21/0.50 ; 2 (17%) were simplified or subsumed later,
% 0.21/0.50 ; 10 (83%) are still being kept.
% 0.21/0.50 ;
% 0.21/0.50 ; Run time in seconds excluding printing time:
% 0.21/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.21/0.50 ; 0.000 0% Assert (3 calls)
% 0.21/0.50 ; 0.002 7% Process new row (14 calls)
% 0.21/0.50 ; 0.001 3% Resolution (4 calls)
% 0.21/0.50 ; 0.000 0% Paramodulation (2 calls)
% 0.21/0.50 ; 0.001 3% Forward simplification (14 calls)
% 0.21/0.50 ; 0.000 0% Backward simplification (11 calls)
% 0.21/0.50 ; 0.003 10% Ordering (154 calls)
% 0.21/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.50 ; 0.000 0% Purity testing (1 call)
% 0.21/0.50 ; 0.021 72% Other
% 0.21/0.50 ; 0.029 Total
% 0.21/0.50 ; 0.031 Real time
% 0.21/0.50 ;
% 0.21/0.50 ; Term-hash-array has 60 terms in all.
% 0.21/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.50 ; Path-index has 56 entries (65 at peak, 68 added, 12 deleted).
% 0.21/0.50 ; Path-index has 187 nodes (229 at peak, 232 added, 45 deleted).
% 0.21/0.50 ; Trie-index has 56 entries (65 at peak, 68 added, 12 deleted).
% 0.21/0.50 ; Trie-index has 218 nodes (309 at peak, 312 added, 94 deleted).
% 0.21/0.50 ; Retrieved 76 generalization terms in 95 calls.
% 0.21/0.50 ; Retrieved 52 instance terms in 24 calls.
% 0.21/0.50 ; Retrieved 24 unifiable terms in 15 calls.
% 0.21/0.50 ;
% 0.21/0.50 ; The agenda of rows to process has 2 entries:
% 0.21/0.50 ; 2 with value 26
% 0.21/0.50 ; The agenda of rows to give has 7 entries:
% 0.21/0.50 ; 1 with value (4 20) 2 with value (4 25) 2 with value (4 26)
% 0.21/0.50 ; 2 with value (4 21)
% 0.21/0.50 Evaluation took:
% 0.21/0.50 0.031 seconds of real time
% 0.21/0.50 0.026283 seconds of user run time
% 0.21/0.50 0.00507 seconds of system run time
% 0.21/0.50 0 calls to %EVAL
% 0.21/0.50 0 page faults and
% 0.21/0.50 2,030,904 bytes consed.
% 0.21/0.50 :PROOF-FOUND
% 0.21/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T13:48:17
% 0.21/0.50 :PROOF-FOUND
% 0.21/0.50 *
%------------------------------------------------------------------------------