%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:07:41 EDT 2022
% Result : Theorem 1.83s 2.08s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
cnf(132,axiom,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn4) ).
cnf(268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
cnf(269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
cnf(275,axiom,
( ~ rdn_positive_less(rdnn(X),rdnn(Y))
| ~ rdn_positive_less(rdnn(Y),rdnn(Z))
| rdn_positive_less(rdnn(X),rdnn(Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
cnf(283,axiom,
( ~ rdn_translate(X,rdn_neg(Y))
| ~ rdn_translate(Z,rdn_neg(U))
| ~ rdn_positive_less(U,Y)
| less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_neg) ).
cnf(407,negated_conjecture,
~ less(nn4,nn2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nn4_less_nn2) ).
cnf(16959,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n4)),
inference('UR-RESOLVE',[status(thm)],[283,132,130,407]) ).
cnf(16967,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[275,268,269]),16959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 8 00:12:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T00:12:23
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-08T00:12:23
% 0.21/0.57
% 1.83/2.08 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 1.83/2.08
% 1.83/2.08 #||
% 1.83/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.08 % SZS output start Refutation
% See solution above
% 1.83/2.08 ||#
% 1.83/2.08
% 1.83/2.08 ; Summary of computation:
% 1.83/2.08 ; 33537 formulas have been input or derived (from 397 formulas).
% 1.83/2.08 ; 16967 (51%) were retained. Of these,
% 1.83/2.08 ; 16967 (100%) are still being kept.
% 1.83/2.08 ;
% 1.83/2.08 ; Run time in seconds:
% 1.83/2.08 ; 0.057 4% Read assertion file (1 call)
% 1.83/2.08 ; 0.002 0% Assert (402 calls)
% 1.83/2.08 ; 0.597 38% Process new row (33,519 calls)
% 1.83/2.08 ; 0.574 37% Resolution (792 calls)
% 1.83/2.08 ; 0.004 0% Paramodulation (396 calls)
% 1.83/2.08 ; 0.000 0% Factoring (1 call)
% 1.83/2.08 ; 0.001 0% Condensing (37 calls)
% 1.83/2.08 ; 0.000 0% Forward subsumption (37 calls)
% 1.83/2.08 ; 0.000 0% Backward subsumption (34 calls)
% 1.83/2.08 ; 0.000 0% Clause clause subsumption (12 calls)
% 1.83/2.08 ; 0.123 8% Forward simplification (33,519 calls)
% 1.83/2.08 ; 0.068 4% Backward simplification (16,967 calls)
% 1.83/2.08 ; 0.000 0% Ordering (33 calls)
% 1.83/2.08 ; 0.000 0% Sortal reasoning (32 calls)
% 1.83/2.08 ; 0.000 0% Purity testing (1 call)
% 1.83/2.08 ; 0.146 9% Other
% 1.83/2.08 ; 1.572 Total
% 1.83/2.08 ; 1.572 Real time
% 1.83/2.08 ;
% 1.91/2.08 ; Term-hash-array has 17,427 terms in all.
% 1.91/2.08 ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 1.91/2.08 ; Feature-vector-row-index has 162 nodes (162 at peak, 162 added, 0 deleted).
% 1.91/2.08 ; Retrieved 9 possibly forward subsuming rows in 37 calls.
% 1.91/2.08 ; Retrieved 3 possibly backward subsumed rows in 34 calls.
% 1.91/2.08 ; Path-index has 17,683 entries (17,683 at peak, 17,683 added, 0 deleted).
% 1.91/2.08 ; Path-index has 1,477 nodes (1,477 at peak, 1,477 added, 0 deleted).
% 1.91/2.08 ; Trie-index has 17,683 entries (17,683 at peak, 17,683 added, 0 deleted).
% 1.91/2.08 ; Trie-index has 20,539 nodes (20,539 at peak, 20,539 added, 0 deleted).
% 1.91/2.08 ; Retrieved 32,958 generalization terms in 33,591 calls.
% 1.91/2.08 ; Retrieved 16,939 instance terms in 16,932 calls.
% 1.91/2.08 ; Retrieved 426,583 unifiable terms in 120,736 calls.
% 1.91/2.08 ;
% 1.91/2.08 ; The agenda of rows to process has 10 entries:
% 1.91/2.08 ; 10 with value 8
% 1.91/2.08 ; The agenda of input rows to give has 11 entries:
% 1.91/2.08 ; 2 with value 22 1 with value 33 1 with value 64
% 1.91/2.08 ; 2 with value 31 2 with value 35 1 with value 68
% 1.91/2.08 ; 1 with value 32 1 with value 48
% 1.91/2.08 ; The agenda of rows to give has 16559 entries:
% 1.91/2.08 ; 16403 with value (4 5) 6 with value (4 8) 1 with value (4 13)
% 1.91/2.08 ; 136 with value (4 6) 3 with value (4 9) 9 with value (4 15)
% 1.91/2.08 ; 1 with value (4 7)
% 1.91/2.08 Evaluation took:
% 1.91/2.08 1.573 seconds of real time
% 1.91/2.08 1.395059 seconds of user run time
% 1.91/2.08 0.177966 seconds of system run time
% 1.91/2.08 [Run times include 0.303 seconds GC run time.]
% 1.91/2.08 0 calls to %EVAL
% 1.91/2.08 0 page faults and
% 1.91/2.08 125,639,464 bytes consed.
% 1.91/2.08 :PROOF-FOUND
% 1.91/2.08 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T00:12:25
% 1.91/2.08 :PROOF-FOUND
% 1.91/2.08 *
%------------------------------------------------------------------------------