TSTP Solution File: NUM840+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM840+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 14:14:33 EDT 2022
% Result : Theorem 8.05s 8.31s
% Output : Refutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 7 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ less(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
cnf(2,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
cnf(14,axiom,
( ~ less(X,Y)
| Y = vplus(X,'SKOLEMAAAU1'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
cnf(15,axiom,
( less(X,Y)
| Y != vplus(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
cnf(21,axiom,
( X = Y
| vplus(X,Z) != vplus(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
cnf(40,plain,
vd329 != vplus(vd328,X),
inference('UR-RESOLVE',[status(thm)],[15,1]) ).
cnf(70,plain,
vplus(vd329,vd330) = vplus(vd328,vplus(vd330,'SKOLEMAAAU1'(vplus(vd329,vd330),vplus(vd328,vd330)))),
inference('HYPERRESOLVE',[status(thm)],[14,2]) ).
cnf(152,plain,
vplus(vd329,X) != vplus(vd328,vplus(Y,X)),
inference('UR-RESOLVE',[status(thm)],[21,40]) ).
cnf(153,plain,
$false,
inference('REWRITE',[status(thm)],[70,152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM840+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 05:52:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T05:52:16
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-05T05:52:16
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.18/0.48 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.18/0.48 ; Declaring vplus to be commutative.
% 8.05/8.31 ; Declaring vplus to be associative-commutative.
% 8.05/8.31
% 8.05/8.31 #||
% 8.05/8.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.05/8.31 % SZS output start Refutation
% See solution above
% 8.05/8.31 ||#
% 8.05/8.31
% 8.05/8.31 ; Summary of computation:
% 8.05/8.31 ; 2205 formulas have been input or derived (from 36 formulas).
% 8.05/8.31 ; 153 ( 7%) were retained. Of these,
% 8.05/8.31 ; 6 ( 4%) were simplified or subsumed later,
% 8.05/8.31 ; 147 (96%) are still being kept.
% 8.05/8.31 ;
% 8.05/8.31 ; Run time in seconds:
% 8.05/8.31 ; 0.005 0% Read assertion file (1 call)
% 8.05/8.31 ; 0.001 0% Assert (26 calls)
% 8.05/8.31 ; 0.013 0% Process new row (2,137 calls)
% 8.05/8.31 ; 7.568 96% Resolution (70 calls)
% 8.05/8.31 ; 0.011 0% Paramodulation (35 calls)
% 8.05/8.31 ; 0.000 0% Factoring (2 calls)
% 8.05/8.31 ; 0.000 0% Embedding (10 calls)
% 8.05/8.31 ; 0.075 1% Condensing (452 calls)
% 8.05/8.31 ; 0.006 0% Forward subsumption (452 calls)
% 8.05/8.31 ; 0.001 0% Backward subsumption (91 calls)
% 8.05/8.31 ; 0.040 1% Clause clause subsumption (609 calls)
% 8.05/8.31 ; 0.094 1% Forward simplification (2,127 calls)
% 8.05/8.31 ; 0.001 0% Backward simplification (143 calls)
% 8.05/8.31 ; 0.000 0% Ordering (338 calls)
% 8.05/8.31 ; 0.000 0% Ordering ac (120 calls)
% 8.05/8.31 ; 0.001 0% Sortal reasoning (32 calls)
% 8.05/8.31 ; 0.000 0% Purity testing (1 call)
% 8.05/8.31 ; 0.032 0% Other
% 8.05/8.31 ; 7.848 Total
% 8.05/8.31 ; 7.849 Real time
% 8.05/8.31 ;
% 8.05/8.31 ; Term-hash-array has 282 terms in all.
% 8.05/8.31 ; Feature-vector-row-index has 89 entries (89 at peak, 91 added, 2 deleted).
% 8.05/8.31 ; Feature-vector-row-index has 287 nodes (287 at peak, 315 added, 28 deleted).
% 8.05/8.31 ; Retrieved 1,699 possibly forward subsuming rows in 452 calls.
% 8.05/8.31 ; Retrieved 6 possibly backward subsumed rows in 91 calls.
% 8.05/8.31 ; Path-index has 276 entries (281 at peak, 289 added, 13 deleted).
% 8.05/8.31 ; Path-index has 396 nodes (408 at peak, 417 added, 21 deleted).
% 8.05/8.31 ; Trie-index has 276 entries (281 at peak, 289 added, 13 deleted).
% 8.05/8.31 ; Trie-index has 193 nodes (194 at peak, 198 added, 5 deleted).
% 8.05/8.31 ; Retrieved 69,893 generalization terms in 22,006 calls.
% 8.05/8.31 ; Retrieved 98 instance terms in 51 calls.
% 8.05/8.31 ; Retrieved 9,371 unifiable terms in 839 calls.
% 8.05/8.31 ;
% 8.05/8.31 ; The agenda of rows to process has 23 entries:
% 8.05/8.31 ; 2 with value 13 8 with value 17 1 with value 24
% 8.05/8.31 ; 3 with value 14 1 with value 20 1 with value 28
% 8.05/8.31 ; 3 with value 16 4 with value 21
% 8.05/8.31 ; The agenda of rows to give has 111 entries:
% 8.05/8.31 ; 8 with value (4 8) 5 with value (4 19) 5 with value (4 36)
% 8.05/8.31 ; 3 with value (4 9) 4 with value (4 22) 2 with value (4 37)
% 8.05/8.31 ; 6 with value (4 10) 3 with value (4 23) 3 with value (4 40)
% 8.05/8.31 ; 11 with value (4 11) 1 with value (4 24) 2 with value (4 42)
% 8.05/8.31 ; 1 with value (4 12) 1 with value (4 25) 2 with value (4 43)
% 8.05/8.31 ; 4 with value (4 13) 4 with value (4 26) 1 with value (4 44)
% 8.05/8.31 ; 10 with value (4 14) 3 with value (4 27) 1 with value (4 45)
% 8.05/8.31 ; 4 with value (4 15) 1 with value (4 28) 2 with value (4 51)
% 8.05/8.31 ; 5 with value (4 16) 3 with value (4 29) 2 with value (4 61)
% 8.05/8.31 ; 4 with value (4 17) 3 with value (4 31) 2 with value (4 67)
% 8.05/8.31 ; 3 with value (4 18) 2 with value (4 34)
% 8.05/8.31 Evaluation took:
% 8.05/8.31 7.849 seconds of real time
% 8.05/8.31 7.804746 seconds of user run time
% 8.05/8.31 0.043919 seconds of system run time
% 8.05/8.31 [Run times include 0.154 seconds GC run time.]
% 8.05/8.31 0 calls to %EVAL
% 8.05/8.31 0 page faults and
% 8.05/8.31 798,557,472 bytes consed.
% 8.05/8.31 :PROOF-FOUND
% 8.05/8.31 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T05:52:24
% 8.05/8.31 :PROOF-FOUND
% 8.05/8.31 *
%------------------------------------------------------------------------------