TSTP Solution File: NUM303+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM303+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : Mon Jul 18 14:07:43 EDT 2022
% Result : Theorem 15.04s 15.24s
% Output : Refutation 15.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 2 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,axiom,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn21) ).
cnf(32,axiom,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn31) ).
cnf(268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
cnf(276,axiom,
( ~ rdn_positive_less(X,Y)
| rdn_positive_less(rdn(rdnn(Z),X),rdn(rdnn(U),Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
cnf(281,axiom,
( ~ rdn_translate(X,rdn_pos(Y))
| ~ rdn_translate(Z,rdn_pos(U))
| ~ rdn_positive_less(Y,U)
| less(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(285,axiom,
( ~ less(X,Y)
| Y != X ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).
cnf(407,negated_conjecture,
n31 = n21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n31_not_n12) ).
cnf(408,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference('REWRITE',[status(thm)],[32,407,theory(equality)]) ).
cnf(409,plain,
~ less(X,X),
inference('UR-RESOLVE',[status(thm)],[285,theory(equality)]) ).
cnf(427,plain,
rdn_positive_less(rdn(rdnn(X),rdnn(n2)),rdn(rdnn(Y),rdnn(n3))),
inference('HYPERRESOLVE',[status(thm)],[276,268]) ).
cnf(18109,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[281,409,22,408]),427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM303+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.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 : Thu Jul 7 01:37:46 EDT 2022
% 0.13/0.34 % 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 2022-07-07T01:37:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-07T01:37:46
% 0.19/0.55
% 15.04/15.24 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 15.04/15.24
% 15.04/15.24 #||
% 15.04/15.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.04/15.24 % SZS output start Refutation
% See solution above
% 15.04/15.24 ||#
% 15.04/15.24
% 15.04/15.24 ; Summary of computation:
% 15.04/15.24 ; 35856 formulas have been input or derived (from 409 formulas).
% 15.04/15.24 ; 18109 (51%) were retained. Of these,
% 15.04/15.24 ; 1 ( 0%) were simplified or subsumed later,
% 15.04/15.24 ; 18108 (100%) are still being kept.
% 15.04/15.24 ;
% 15.04/15.24 ; Run time in seconds excluding printing time:
% 15.04/15.24 ; 0.059 0% Read assertion file (1 call)
% 15.04/15.24 ; 0.008 0% Assert (402 calls)
% 15.04/15.24 ; 0.479 3% Process new row (35,774 calls)
% 15.04/15.24 ; 13.863 94% Resolution (816 calls)
% 15.04/15.24 ; 0.004 0% Paramodulation (408 calls)
% 15.04/15.24 ; 0.000 0% Factoring (1 call)
% 15.04/15.24 ; 0.000 0% Condensing (36 calls)
% 15.04/15.24 ; 0.002 0% Forward subsumption (36 calls)
% 15.04/15.24 ; 0.000 0% Backward subsumption (33 calls)
% 15.04/15.24 ; 0.001 0% Clause clause subsumption (12 calls)
% 15.04/15.24 ; 0.130 1% Forward simplification (35,774 calls)
% 15.04/15.24 ; 0.105 1% Backward simplification (18,109 calls)
% 15.04/15.24 ; 0.000 0% Ordering (42 calls)
% 15.04/15.24 ; 0.000 0% Sortal reasoning (32 calls)
% 15.04/15.24 ; 0.000 0% Purity testing (1 call)
% 15.04/15.24 ; 0.114 1% Other
% 15.04/15.24 ; 14.765 Total
% 15.04/15.24 ; 14.768 Real time
% 15.04/15.24 ;
% 15.04/15.24 ; Term-hash-array has 18,570 terms in all.
% 15.04/15.24 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 15.04/15.24 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 15.04/15.24 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 15.04/15.24 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 15.04/15.24 ; Path-index has 18,825 entries (18,825 at peak, 18,827 added, 2 deleted).
% 15.04/15.24 ; Path-index has 1,547 nodes (1,547 at peak, 1,548 added, 1 deleted).
% 15.04/15.24 ; Trie-index has 18,825 entries (18,825 at peak, 18,827 added, 2 deleted).
% 15.04/15.24 ; Trie-index has 26,358 nodes (26,358 at peak, 26,366 added, 8 deleted).
% 15.04/15.24 ; Retrieved 33,942 generalization terms in 36,123 calls.
% 15.04/15.24 ; Retrieved 18,081 instance terms in 18,075 calls.
% 15.04/15.24 ; Retrieved 27,790,710 unifiable terms in 4,588,493 calls.
% 15.04/15.24 ;
% 15.04/15.24 ; The agenda of rows to process has 75 entries:
% 15.04/15.24 ; 18 with value 16 57 with value 23
% 15.04/15.24 ; The agenda of rows to give has 17699 entries:
% 15.04/15.24 ; 16274 with value (4 5) 10 with value (4 9) 1 with value (4 13)
% 15.04/15.24 ; 136 with value (4 6) 35 with value (4 10) 9 with value (4 15)
% 15.04/15.24 ; 263 with value (4 8) 220 with value (4 12) 751 with value (4 16)
% 15.04/15.24 Evaluation took:
% 15.04/15.24 14.768 seconds of real time
% 15.04/15.24 14.583241 seconds of user run time
% 15.04/15.24 0.182849 seconds of system run time
% 15.04/15.24 [Run times include 0.585 seconds GC run time.]
% 15.04/15.24 0 calls to %EVAL
% 15.04/15.24 0 page faults and
% 15.04/15.24 1,476,529,992 bytes consed.
% 15.04/15.24 :PROOF-FOUND
% 15.04/15.24 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:38:01
% 15.04/15.24 :PROOF-FOUND
% 15.04/15.24 *
%------------------------------------------------------------------------------