TSTP Solution File: COL026-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:41:38 EDT 2022
% Result : Unsatisfiable 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 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(w1_definition,axiom,
apply(apply(w1,X),Y) = apply(apply(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(7,plain,
apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(9,plain,
apply(apply(w1,X),apply(apply(b,Y),Z)) = apply(apply(Y,apply(Z,X)),X),
inference('PARAMODULATE',[status(thm)],[w1_definition,b_definition,theory(equality)]) ).
cnf(220,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[7,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 13:26:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T13:26:28
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-31T13:26:28
% 0.63/0.81
% 0.63/0.81
% 0.63/0.81 #||
% 0.63/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.81 % SZS output start Refutation
% See solution above
% 0.63/0.81 ||#
% 0.63/0.81
% 0.63/0.81 ; Summary of computation:
% 0.63/0.81 ; 712 formulas have been input or derived (from 26 formulas).
% 0.63/0.81 ; 220 (31%) were retained. Of these,
% 0.63/0.81 ; 15 ( 7%) were simplified or subsumed later,
% 0.63/0.81 ; 205 (93%) are still being kept.
% 0.63/0.81 ;
% 0.63/0.81 ; Run time in seconds excluding printing time:
% 0.63/0.81 ; 0.001 0% Read assertion file (1 call)
% 0.63/0.81 ; 0.000 0% Assert (3 calls)
% 0.63/0.81 ; 0.032 10% Process new row (593 calls)
% 0.63/0.81 ; 0.007 2% Resolution (50 calls)
% 0.63/0.81 ; 0.013 4% Paramodulation (25 calls)
% 0.63/0.81 ; 0.098 30% Forward simplification (593 calls)
% 0.63/0.81 ; 0.009 3% Backward simplification (220 calls)
% 0.63/0.81 ; 0.133 41% Ordering (15,976 calls)
% 0.63/0.81 ; 0.000 0% Sortal reasoning (32 calls)
% 0.63/0.81 ; 0.000 0% Purity testing (1 call)
% 0.63/0.81 ; 0.029 9% Other
% 0.63/0.81 ; 0.322 Total
% 0.63/0.81 ; 0.323 Real time
% 0.63/0.81 ;
% 0.63/0.81 ; Term-hash-array has 731 terms in all.
% 0.63/0.81 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.63/0.81 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.63/0.81 ; Path-index has 697 entries (697 at peak, 737 added, 40 deleted).
% 0.63/0.81 ; Path-index has 360 nodes (360 at peak, 365 added, 5 deleted).
% 0.63/0.81 ; Trie-index has 697 entries (697 at peak, 737 added, 40 deleted).
% 0.63/0.81 ; Trie-index has 3,612 nodes (3,612 at peak, 3,807 added, 195 deleted).
% 0.63/0.81 ; Retrieved 34,255 generalization terms in 6,989 calls.
% 0.63/0.81 ; Retrieved 1,082 instance terms in 375 calls.
% 0.63/0.81 ; Retrieved 3,872 unifiable terms in 230 calls.
% 0.63/0.81 ;
% 0.63/0.81 ; The agenda of rows to process has 110 entries:
% 0.63/0.81 ; 1 with value 21 5 with value 29 3 with value 35
% 0.63/0.81 ; 2 with value 23 11 with value 30 1 with value 36
% 0.63/0.81 ; 3 with value 24 7 with value 31 4 with value 37
% 0.63/0.81 ; 6 with value 25 11 with value 32 13 with value 38
% 0.63/0.81 ; 5 with value 26 11 with value 33 2 with value 39
% 0.63/0.81 ; 3 with value 27 8 with value 34 2 with value 42
% 0.63/0.81 ; 12 with value 28
% 0.63/0.81 ; The agenda of rows to give has 181 entries:
% 0.63/0.81 ; 5 with value (4 22) 12 with value (4 29) 6 with value (4 35)
% 0.63/0.81 ; 7 with value (4 23) 13 with value (4 30) 7 with value (4 36)
% 0.63/0.81 ; 8 with value (4 24) 26 with value (4 31) 3 with value (4 38)
% 0.63/0.81 ; 18 with value (4 25) 8 with value (4 32) 9 with value (4 39)
% 0.63/0.81 ; 16 with value (4 26) 9 with value (4 33) 2 with value (4 40)
% 0.63/0.81 ; 10 with value (4 27) 6 with value (4 34) 4 with value (4 43)
% 0.63/0.81 ; 12 with value (4 28)
% 0.63/0.81 Evaluation took:
% 0.63/0.81 0.324 seconds of real time
% 0.63/0.81 0.293499 seconds of user run time
% 0.63/0.81 0.030015 seconds of system run time
% 0.63/0.81 [Run times include 0.007 seconds GC run time.]
% 0.63/0.81 0 calls to %EVAL
% 0.63/0.81 0 page faults and
% 0.63/0.81 15,395,256 bytes consed.
% 0.63/0.81 :PROOF-FOUND
% 0.63/0.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T13:26:28
% 0.63/0.81 :PROOF-FOUND
% 0.63/0.81 *
%------------------------------------------------------------------------------