TSTP Solution File: SYO038-1.003.003 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO038-1.003.003 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 19:40:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 28 ( 27 unt; 0 nHn; 22 RR)
% Number of literals : 29 ( 9 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 16 ( 5 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax1,axiom,
f(X,one) = s(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(ax2,axiom,
f(one,s(X)) = s(s(f(one,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(ax3,axiom,
f(s(X),s(Y)) = f(X,f(s(X),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(ax4,axiom,
d(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(ax5,axiom,
( ~ d(X)
| d(s(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(conj,negated_conjecture,
~ d(f(s(s(one)),s(s(one)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(7,plain,
d(s(one)),
inference('HYPERRESOLVE',[status(thm)],[ax5,ax4]) ).
cnf(8,plain,
f(s(X),s(one)) = f(X,s(one)),
inference('PARAMODULATE',[status(thm)],[ax3,ax1,theory(equality)]) ).
cnf(10,plain,
d(s(s(one))),
inference('HYPERRESOLVE',[status(thm)],[ax5,7]) ).
cnf(11,plain,
d(s(s(s(one)))),
inference('HYPERRESOLVE',[status(thm)],[ax5,10]) ).
cnf(12,plain,
d(s(s(s(s(one))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,11]) ).
cnf(13,plain,
f(s(X),s(s(one))) = f(X,f(X,s(one))),
inference('PARAMODULATE',[status(thm)],[ax3,8,theory(equality)]) ).
cnf(14,plain,
d(s(s(s(s(s(one)))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,12]) ).
cnf(15,plain,
d(s(s(s(s(s(s(one))))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,14]) ).
cnf(16,plain,
f(s(s(X)),s(s(one))) = f(s(X),f(X,s(one))),
inference('PARAMODULATE',[status(thm)],[13,8,theory(equality)]) ).
cnf(17,plain,
f(s(one),s(s(one))) = s(s(s(s(s(s(s(one))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,ax2,theory(equality)]),ax2,ax1,theory(equality)]) ).
cnf(18,plain,
d(s(s(s(s(s(s(s(one)))))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,15]) ).
cnf(19,plain,
f(s(s(one)),s(s(one))) = f(s(one),s(s(s(one)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,ax2,theory(equality)]),ax1,theory(equality)]) ).
cnf(21,plain,
d(s(s(s(s(s(s(s(s(one))))))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,18]) ).
cnf(22,plain,
f(s(s(one)),s(s(one))) = s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(one))))))))))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[ax3,17,theory(equality)]),ax1,ax2,19,theory(equality)]) ).
cnf(23,plain,
~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))))))),
inference('REWRITE',[status(thm)],[conj,22,theory(equality)]) ).
cnf(25,plain,
~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(s(one))))))))))))))),
inference('UR-RESOLVE',[status(thm)],[ax5,23]) ).
cnf(28,plain,
d(s(s(s(s(s(s(s(s(s(one)))))))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,21]) ).
cnf(33,plain,
d(s(s(s(s(s(s(s(s(s(s(one))))))))))),
inference('HYPERRESOLVE',[status(thm)],[ax5,28]) ).
cnf(35,plain,
~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))))),
inference('UR-RESOLVE',[status(thm)],[ax5,25]) ).
cnf(36,plain,
~ d(s(s(s(s(s(s(s(s(s(s(s(s(one))))))))))))),
inference('UR-RESOLVE',[status(thm)],[ax5,35]) ).
cnf(37,plain,
~ d(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))),
inference('UR-RESOLVE',[status(thm)],[ax5,36]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[ax5,37]),33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO038-1.003.003 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 14:26:15 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-09T14:26:16
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-09T14:26:16
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 72 formulas have been input or derived (from 31 formulas).
% 0.19/0.51 ; 38 (53%) were retained. Of these,
% 0.19/0.51 ; 2 ( 5%) were simplified or subsumed later,
% 0.19/0.51 ; 36 (95%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (6 calls)
% 0.19/0.51 ; 0.006 17% Process new row (62 calls)
% 0.19/0.51 ; 0.003 9% Resolution (60 calls)
% 0.19/0.51 ; 0.002 6% Paramodulation (30 calls)
% 0.19/0.51 ; 0.000 0% Condensing (1 call)
% 0.19/0.51 ; 0.000 0% Forward subsumption (1 call)
% 0.19/0.51 ; 0.000 0% Backward subsumption (1 call)
% 0.19/0.51 ; 0.002 6% Forward simplification (62 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (38 calls)
% 0.19/0.51 ; 0.000 0% Ordering (138 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.020 57% Other
% 0.19/0.51 ; 0.035 Total
% 0.19/0.51 ; 0.040 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 97 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.51 ; Path-index has 96 entries (96 at peak, 99 added, 3 deleted).
% 0.19/0.51 ; Path-index has 252 nodes (252 at peak, 256 added, 4 deleted).
% 0.19/0.51 ; Trie-index has 96 entries (96 at peak, 99 added, 3 deleted).
% 0.19/0.51 ; Trie-index has 456 nodes (456 at peak, 472 added, 16 deleted).
% 0.19/0.51 ; Retrieved 83 generalization terms in 182 calls.
% 0.19/0.51 ; Retrieved 36 instance terms in 36 calls.
% 0.19/0.51 ; Retrieved 155 unifiable terms in 294 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to give has 7 entries:
% 0.19/0.51 ; 1 with value (4 33) 1 with value (4 38) 1 with value (4 55)
% 0.19/0.51 ; 2 with value (4 34) 2 with value (4 44)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.04 seconds of real time
% 0.19/0.51 0.033099 seconds of user run time
% 0.19/0.51 0.007158 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 4,057,776 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T14:26:16
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------