TSTP Solution File: SYO691-1.001 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO691-1.001 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : Thu Jul 21 19:45:14 EDT 2022
% Result : Unsatisfiable 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 22 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_1,axiom,
top(f(f(f(X,a),Y),f(Z,a)),f(f(Z,f(f(Y,a),a)),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
cnf(prove,negated_conjecture,
~ seq(succ(succ(succ(succ(succ(zero))))),X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
cnf(rewrite_top,axiom,
( ~ top(X,Y)
| step(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_top) ).
cnf(rewrite_left,axiom,
( ~ step(X,Y)
| step(f(X,Z),f(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_left) ).
cnf(rewrite_right,axiom,
( ~ step(X,Y)
| step(f(Z,X),f(Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_right) ).
cnf(rewrite_sequence_zero,axiom,
seq(zero,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
cnf(rewrite_sequence_succ,axiom,
( ~ seq(X,Y,Z)
| ~ step(Z,U)
| seq(succ(X),Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
cnf(8,plain,
step(f(f(f(X,a),Y),f(Z,a)),f(f(Z,f(f(Y,a),a)),X)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_top,rule_1]) ).
cnf(10,plain,
step(f(X,f(f(f(Y,a),Z),f(U,a))),f(X,f(f(U,f(f(Z,a),a)),Y))),
inference('HYPERRESOLVE',[status(thm)],[rewrite_right,8]) ).
cnf(11,plain,
step(f(f(f(f(X,a),Y),f(Z,a)),U),f(f(f(Z,f(f(Y,a),a)),X),U)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_left,8]) ).
cnf(12,plain,
~ seq(succ(succ(succ(succ(zero)))),f(f(X,f(f(Y,a),a)),Z),f(f(f(Z,a),Y),f(X,a))),
inference('UR-RESOLVE',[status(thm)],[rewrite_sequence_succ,8,prove]) ).
cnf(19,plain,
seq(succ(zero),f(f(f(f(X,a),Y),f(Z,a)),U),f(f(f(Z,f(f(Y,a),a)),X),U)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_sequence_succ,11,rewrite_sequence_zero]) ).
cnf(21,plain,
step(f(f(f(f(f(X,a),Y),f(Z,a)),U),V),f(f(f(f(Z,f(f(Y,a),a)),X),U),V)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_left,11]) ).
cnf(25,plain,
~ seq(succ(succ(succ(zero))),f(f(f(X,f(f(Y,a),a)),f(f(Z,a),a)),U),f(f(f(U,a),Z),f(f(f(a,a),Y),f(X,a)))),
inference('UR-RESOLVE',[status(thm)],[rewrite_sequence_succ,12,10]) ).
cnf(59,plain,
step(f(f(f(f(f(f(X,a),Y),f(Z,a)),U),V),W),f(f(f(f(f(Z,f(f(Y,a),a)),X),U),V),W)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_left,21]) ).
cnf(61,plain,
seq(succ(succ(zero)),f(f(f(f(X,a),Y),f(f(f(Z,a),U),a)),V),f(f(f(f(f(Y,a),f(f(U,a),a)),Z),X),V)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_sequence_succ,21,19]) ).
cnf(309,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rewrite_sequence_succ,61,59,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYO691-1.001 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Sat Jul 9 13:42:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T13:42:56
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-09T13:42:56
% 0.19/0.49
% 0.46/0.64 ; Recognized possible left identity assertion (|seq| |zero| ?X ?X).
% 0.46/0.64
% 0.46/0.64 #||
% 0.46/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.64 ||#
% 0.46/0.64
% 0.46/0.64 ; Summary of computation:
% 0.46/0.64 ; 558 formulas have been input or derived (from 45 formulas).
% 0.46/0.64 ; 309 (55%) were retained. Of these,
% 0.46/0.64 ; 309 (100%) are still being kept.
% 0.46/0.64 ;
% 0.46/0.64 ; Run time in seconds excluding printing time:
% 0.46/0.64 ; 0.001 1% Read assertion file (1 call)
% 0.46/0.64 ; 0.001 1% Assert (7 calls)
% 0.46/0.64 ; 0.078 50% Process new row (461 calls)
% 0.46/0.64 ; 0.018 12% Resolution (88 calls)
% 0.46/0.64 ; 0.009 6% Paramodulation (44 calls)
% 0.46/0.64 ; 0.000 0% Condensing (4 calls)
% 0.46/0.64 ; 0.000 0% Forward subsumption (4 calls)
% 0.46/0.64 ; 0.000 0% Backward subsumption (4 calls)
% 0.46/0.64 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.46/0.64 ; 0.016 10% Forward simplification (461 calls)
% 0.46/0.64 ; 0.010 6% Backward simplification (309 calls)
% 0.46/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.64 ; 0.000 0% Purity testing (1 call)
% 0.46/0.64 ; 0.023 15% Other
% 0.46/0.64 ; 0.156 Total
% 0.46/0.64 ; 0.158 Real time
% 0.46/0.64 ;
% 0.46/0.64 ; Term-hash-array has 1,448 terms in all.
% 0.46/0.64 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.46/0.64 ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 0.46/0.64 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.46/0.64 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.46/0.64 ; Path-index has 1,450 entries (1,450 at peak, 1,450 added, 0 deleted).
% 0.46/0.64 ; Path-index has 2,856 nodes (2,856 at peak, 2,856 added, 0 deleted).
% 0.46/0.64 ; Trie-index has 1,450 entries (1,450 at peak, 1,450 added, 0 deleted).
% 0.46/0.64 ; Trie-index has 13,012 nodes (13,012 at peak, 13,012 added, 0 deleted).
% 0.46/0.64 ; Retrieved 152 generalization terms in 456 calls.
% 0.46/0.64 ; Retrieved 304 instance terms in 304 calls.
% 0.46/0.64 ; Retrieved 4,246 unifiable terms in 1,015 calls.
% 0.46/0.64 ;
% 0.46/0.64 ; The agenda of rows to process has 26 entries:
% 0.46/0.64 ; 1 with value 47 1 with value 63 4 with value 67
% 0.46/0.64 ; 1 with value 50 1 with value 64 4 with value 69
% 0.46/0.64 ; 4 with value 52 1 with value 65 8 with value 72
% 0.46/0.64 ; 1 with value 53
% 0.46/0.64 ; The agenda of rows to give has 264 entries:
% 0.46/0.64 ; 2 with value (4 45) 7 with value (4 54) 28 with value (4 63)
% 0.46/0.64 ; 11 with value (4 46) 5 with value (4 55) 20 with value (4 64)
% 0.46/0.64 ; 5 with value (4 47) 14 with value (4 56) 8 with value (4 65)
% 0.46/0.64 ; 1 with value (4 48) 5 with value (4 57) 20 with value (4 67)
% 0.46/0.64 ; 25 with value (4 49) 15 with value (4 58) 19 with value (4 68)
% 0.46/0.64 ; 8 with value (4 50) 4 with value (4 59) 12 with value (4 69)
% 0.46/0.64 ; 8 with value (4 51) 13 with value (4 60) 4 with value (4 72)
% 0.46/0.64 ; 10 with value (4 52) 3 with value (4 61) 4 with value (4 73)
% 0.46/0.64 ; 8 with value (4 53) 5 with value (4 62)
% 0.46/0.64 Evaluation took:
% 0.46/0.64 0.158 seconds of real time
% 0.46/0.64 0.15238 seconds of user run time
% 0.46/0.64 0.006113 seconds of system run time
% 0.46/0.64 0 calls to %EVAL
% 0.46/0.64 0 page faults and
% 0.46/0.64 11,220,984 bytes consed.
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T13:42:56
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 *
%------------------------------------------------------------------------------