TSTP Solution File: COL001-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 00:41:32 EDT 2022
% Result : Unsatisfiable 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 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 : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
cnf(k_definition,axiom,
apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(4,plain,
apply(apply(apply(s,k),X),Y) = Y,
inference('PARAMODULATE',[status(thm)],[k_definition,s_definition,theory(equality)]) ).
cnf(6,plain,
apply(apply(apply(s,apply(k,X)),Y),Z) = apply(X,apply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[s_definition,k_definition,theory(equality)]) ).
cnf(14,plain,
apply(apply(apply(s,X),apply(apply(s,k),Y)),Z) = apply(apply(X,Z),Z),
inference('PARAMODULATE',[status(thm)],[s_definition,4,theory(equality)]) ).
cnf(37,plain,
apply(X,Y) != apply(apply(apply(s,apply(k,combinator)),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,6,theory(equality)]) ).
cnf(159,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[37,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 15:18:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:18:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-31T15:18:11
% 0.47/0.69
% 0.47/0.69
% 0.47/0.69 #||
% 0.47/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.69 % SZS output start Refutation
% See solution above
% 0.47/0.69 ||#
% 0.47/0.69
% 0.47/0.69 ; Summary of computation:
% 0.47/0.69 ; 348 formulas have been input or derived (from 15 formulas).
% 0.47/0.69 ; 159 (46%) were retained. Of these,
% 0.47/0.69 ; 3 ( 2%) were simplified or subsumed later,
% 0.47/0.69 ; 156 (98%) are still being kept.
% 0.47/0.69 ;
% 0.47/0.69 ; Run time in seconds:
% 0.47/0.69 ; 0.001 0% Read assertion file (1 call)
% 0.47/0.69 ; 0.001 0% Assert (3 calls)
% 0.47/0.69 ; 0.027 12% Process new row (264 calls)
% 0.47/0.69 ; 0.002 1% Resolution (28 calls)
% 0.47/0.69 ; 0.007 3% Paramodulation (14 calls)
% 0.47/0.69 ; 0.032 14% Forward simplification (264 calls)
% 0.47/0.69 ; 0.020 9% Backward simplification (159 calls)
% 0.47/0.69 ; 0.107 48% Ordering (12,630 calls)
% 0.47/0.69 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.69 ; 0.000 0% Purity testing (1 call)
% 0.47/0.69 ; 0.024 11% Other
% 0.47/0.69 ; 0.221 Total
% 0.47/0.69 ; 0.222 Real time
% 0.47/0.69 ;
% 0.47/0.69 ; Term-hash-array has 705 terms in all.
% 0.47/0.69 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.47/0.69 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.47/0.69 ; Path-index has 698 entries (698 at peak, 708 added, 10 deleted).
% 0.47/0.69 ; Path-index has 557 nodes (557 at peak, 557 added, 0 deleted).
% 0.47/0.69 ; Trie-index has 698 entries (698 at peak, 708 added, 10 deleted).
% 0.47/0.69 ; Trie-index has 3,439 nodes (3,439 at peak, 3,508 added, 69 deleted).
% 0.47/0.69 ; Retrieved 11,452 generalization terms in 2,458 calls.
% 0.47/0.69 ; Retrieved 3,443 instance terms in 324 calls.
% 0.47/0.69 ; Retrieved 2,482 unifiable terms in 135 calls.
% 0.47/0.69 ;
% 0.47/0.69 ; The agenda of rows to process has 83 entries:
% 0.47/0.69 ; 1 with value 13 1 with value 27 7 with value 35
% 0.47/0.69 ; 1 with value 17 6 with value 28 6 with value 36
% 0.47/0.69 ; 1 with value 19 5 with value 29 2 with value 37
% 0.47/0.69 ; 1 with value 21 8 with value 30 1 with value 38
% 0.47/0.69 ; 2 with value 22 10 with value 31 2 with value 39
% 0.47/0.69 ; 1 with value 23 4 with value 32 1 with value 40
% 0.47/0.69 ; 1 with value 24 5 with value 33 1 with value 42
% 0.47/0.69 ; 5 with value 25 11 with value 34
% 0.47/0.69 ; The agenda of rows to give has 141 entries:
% 0.47/0.69 ; 2 with value (4 24) 17 with value (4 31) 2 with value (4 37)
% 0.47/0.69 ; 6 with value (4 25) 18 with value (4 32) 3 with value (4 38)
% 0.47/0.69 ; 11 with value (4 26) 14 with value (4 33) 1 with value (4 39)
% 0.47/0.69 ; 9 with value (4 27) 7 with value (4 34) 2 with value (4 40)
% 0.47/0.69 ; 10 with value (4 28) 5 with value (4 35) 1 with value (4 41)
% 0.47/0.69 ; 13 with value (4 29) 3 with value (4 36) 1 with value (4 43)
% 0.47/0.69 ; 16 with value (4 30)
% 0.47/0.69 Evaluation took:
% 0.47/0.69 0.223 seconds of real time
% 0.47/0.69 0.188215 seconds of user run time
% 0.47/0.69 0.034106 seconds of system run time
% 0.47/0.69 0 calls to %EVAL
% 0.47/0.69 0 page faults and
% 0.47/0.69 11,385,560 bytes consed.
% 0.47/0.69 :PROOF-FOUND
% 0.47/0.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:18:11
% 0.47/0.69 :PROOF-FOUND
% 0.47/0.69 *
%------------------------------------------------------------------------------