TSTP Solution File: SYO691-1.000 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 19:45:13 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_1,axiom,
top(f(f(X,Y),f(Z,a)),f(f(Z,f(Y,a)),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
cnf(prove,negated_conjecture,
~ seq(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(X,Y),f(Z,a)),f(f(Z,f(Y,a)),X)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_top,rule_1]) ).
cnf(10,plain,
~ seq(succ(succ(zero)),f(f(X,f(Y,a)),Z),f(f(Z,Y),f(X,a))),
inference('UR-RESOLVE',[status(thm)],[rewrite_sequence_succ,8,prove]) ).
cnf(11,plain,
step(f(X,f(f(Y,Z),f(U,a))),f(X,f(f(U,f(Z,a)),Y))),
inference('HYPERRESOLVE',[status(thm)],[rewrite_right,8]) ).
cnf(12,plain,
step(f(f(f(X,Y),f(Z,a)),U),f(f(f(Z,f(Y,a)),X),U)),
inference('HYPERRESOLVE',[status(thm)],[rewrite_left,8]) ).
cnf(16,plain,
seq(succ(zero),f(X,f(f(Y,Z),f(U,a))),f(X,f(f(U,f(Z,a)),Y))),
inference('HYPERRESOLVE',[status(thm)],[rewrite_sequence_succ,11,rewrite_sequence_zero]) ).
cnf(31,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rewrite_sequence_succ,16,12,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n012.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 : Fri Jul 8 18:56:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T18:56:44
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-08T18:56:44
% 0.20/0.49
% 0.20/0.51 ; Recognized possible left identity assertion (|seq| |zero| ?X ?X).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 52 formulas have been input or derived (from 17 formulas).
% 0.20/0.51 ; 31 (60%) were retained. Of these,
% 0.20/0.51 ; 31 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (7 calls)
% 0.20/0.51 ; 0.004 12% Process new row (39 calls)
% 0.20/0.51 ; 0.003 9% Resolution (32 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (16 calls)
% 0.20/0.51 ; 0.000 0% Condensing (4 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (4 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (4 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.52 ; 0.002 6% Forward simplification (39 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (31 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 64% Other
% 0.20/0.52 ; 0.033 Total
% 0.20/0.52 ; 0.035 Real time
% 0.20/0.52 ;
% 0.36/0.52 ; Term-hash-array has 116 terms in all.
% 0.36/0.52 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.36/0.52 ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 0.36/0.52 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.36/0.52 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.36/0.52 ; Path-index has 118 entries (118 at peak, 118 added, 0 deleted).
% 0.36/0.52 ; Path-index has 470 nodes (470 at peak, 470 added, 0 deleted).
% 0.36/0.52 ; Trie-index has 118 entries (118 at peak, 118 added, 0 deleted).
% 0.36/0.52 ; Trie-index has 606 nodes (606 at peak, 606 added, 0 deleted).
% 0.36/0.52 ; Retrieved 10 generalization terms in 34 calls.
% 0.36/0.52 ; Retrieved 26 instance terms in 26 calls.
% 0.36/0.52 ; Retrieved 261 unifiable terms in 185 calls.
% 0.36/0.52 ;
% 0.36/0.52 ; The agenda of rows to process has 5 entries:
% 0.36/0.52 ; 1 with value 35 3 with value 36 1 with value 43
% 0.36/0.52 ; The agenda of rows to give has 14 entries:
% 0.36/0.52 ; 1 with value (4 29) 1 with value (4 33) 1 with value (4 37)
% 0.36/0.52 ; 4 with value (4 30) 1 with value (4 34) 1 with value (4 38)
% 0.36/0.52 ; 5 with value (4 32)
% 0.36/0.52 Evaluation took:
% 0.36/0.52 0.036 seconds of real time
% 0.36/0.52 0.031379 seconds of user run time
% 0.36/0.52 0.004141 seconds of system run time
% 0.36/0.52 0 calls to %EVAL
% 0.36/0.52 0 page faults and
% 0.36/0.52 2,697,872 bytes consed.
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T18:56:44
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 *
%------------------------------------------------------------------------------