TSTP Solution File: ROB015-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ROB015-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 20:56:00 EDT 2022
% Result : Unsatisfiable 15.89s 16.09s
% Output : Refutation 15.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 10 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lemma_3_2,axiom,
( negate(add(X,negate(add(Y,Z)))) != negate(add(Y,negate(add(X,Z))))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_2) ).
cnf(lemma_3_4,axiom,
( negate(add(X,negate(Y))) != Z
| ~ positive_integer(U)
| negate(add(X,negate(add(Y,multiply(U,add(X,Z)))))) = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_4) ).
cnf(condition,hypothesis,
negate(add(negate(e),negate(add(d,negate(e))))) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(k_positive,axiom,
positive_integer(k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_positive) ).
cnf(base_step,axiom,
negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_step) ).
cnf(29,plain,
( negate(add(X,d)) != negate(add(negate(e),negate(add(X,negate(add(d,negate(e)))))))
| X = negate(e) ),
inference('PARAMODULATE',[status(thm)],[lemma_3_2,condition,theory(equality)]) ).
cnf(46,plain,
negate(add(X,negate(add(Y,multiply(k,add(negate(add(X,negate(Y))),X)))))) = negate(add(X,negate(Y))),
inference('HYPERRESOLVE',[status(thm)],[lemma_3_4,k_positive,theory(equality)]) ).
cnf(47,plain,
negate(add(negate(add(d,negate(e))),negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))))) = d,
inference('HYPERRESOLVE',[status(thm)],[lemma_3_4,condition,k_positive]) ).
cnf(2958,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[29,base_step]),47,46,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB015-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 16:03:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-09T16:03:51
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T16:03:51
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiply| |one| ?X) ?X).
% 0.19/0.48 ; Declaring add to be commutative.
% 15.89/16.09 ; Declaring add to be associative-commutative.
% 15.89/16.09
% 15.89/16.09 #||
% 15.89/16.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.89/16.09 % SZS output start Refutation
% See solution above
% 15.89/16.10 ||#
% 15.89/16.10
% 15.89/16.10 ; Summary of computation:
% 15.89/16.10 ; 6571 formulas have been input or derived (from 82 formulas).
% 15.89/16.10 ; 2958 (45%) were retained. Of these,
% 15.89/16.10 ; 39 ( 1%) were simplified or subsumed later,
% 15.89/16.10 ; 2919 (99%) are still being kept.
% 15.89/16.10 ;
% 15.89/16.10 ; Run time in seconds excluding printing time:
% 15.89/16.10 ; 0.003 0% Read assertion file (1 call)
% 15.89/16.10 ; 0.001 0% Assert (13 calls)
% 15.89/16.10 ; 1.303 8% Process new row (6,195 calls)
% 15.89/16.10 ; 0.315 2% Resolution (162 calls)
% 15.89/16.10 ; 0.139 1% Paramodulation (81 calls)
% 15.89/16.10 ; 0.000 0% Embedding (176 calls)
% 15.89/16.10 ; 0.039 0% Condensing (1,034 calls)
% 15.89/16.10 ; 0.271 2% Forward subsumption (1,034 calls)
% 15.89/16.10 ; 0.086 1% Backward subsumption (702 calls)
% 15.89/16.10 ; 0.113 1% Clause clause subsumption (12,428 calls)
% 15.89/16.10 ; 12.382 79% Forward simplification (6,079 calls)
% 15.89/16.10 ; 0.424 3% Backward simplification (2,958 calls)
% 15.89/16.10 ; 0.010 0% Ordering (4,144 calls)
% 15.89/16.10 ; 0.487 3% Ordering ac (1,406 calls)
% 15.89/16.10 ; 0.000 0% Sortal reasoning (32 calls)
% 15.89/16.10 ; 0.000 0% Purity testing (1 call)
% 15.89/16.10 ; 0.052 0% Other
% 15.89/16.10 ; 15.625 Total
% 15.89/16.10 ; 15.626 Real time
% 15.89/16.10 ;
% 15.89/16.10 ; Term-hash-array has 16,241 terms in all.
% 15.89/16.10 ; Feature-vector-row-index has 696 entries (696 at peak, 702 added, 6 deleted).
% 15.89/16.10 ; Feature-vector-row-index has 9,766 nodes (9,766 at peak, 9,880 added, 114 deleted).
% 15.89/16.10 ; Retrieved 16,925 possibly forward subsuming rows in 1,034 calls.
% 15.89/16.10 ; Retrieved 1,046 possibly backward subsumed rows in 702 calls.
% 15.89/16.10 ; Path-index has 16,034 entries (16,034 at peak, 16,248 added, 214 deleted).
% 15.89/16.10 ; Path-index has 2,019 nodes (2,019 at peak, 2,031 added, 12 deleted).
% 15.89/16.10 ; Trie-index has 16,034 entries (16,034 at peak, 16,248 added, 214 deleted).
% 15.89/16.10 ; Trie-index has 348 nodes (348 at peak, 348 added, 0 deleted).
% 15.89/16.10 ; Retrieved 35,299,213 generalization terms in 59,613 calls.
% 15.89/16.10 ; Retrieved 41,202 instance terms in 2,255 calls.
% 15.89/16.10 ; Retrieved 384,646 unifiable terms in 3,367 calls.
% 15.89/16.10 ;
% 15.89/16.10 ; The agenda of rows to process has 30 entries:
% 15.89/16.10 ; 1 with value 53 1 with value 63 1 with value 78
% 15.89/16.10 ; 1 with value 54 1 with value 66 1 with value 81
% 15.89/16.10 ; 2 with value 55 1 with value 70 1 with value 82
% 15.89/16.10 ; 1 with value 56 1 with value 73 1 with value 90
% 15.89/16.10 ; 2 with value 57 1 with value 74 1 with value 91
% 15.89/16.10 ; 4 with value 58 1 with value 75 1 with value 96
% 15.89/16.10 ; 1 with value 59 1 with value 76 1 with value 97
% 15.89/16.10 ; 3 with value 62 1 with value 77
% 15.89/16.10 ; The agenda of rows to give has 2839 entries:
% 15.89/16.10 ; 1 with value (4 28) 85 with value (4 55) 11 with value (4 80)
% 15.89/16.10 ; 1 with value (4 31) 88 with value (4 56) 10 with value (4 81)
% 15.89/16.10 ; 12 with value (4 32) 92 with value (4 57) 6 with value (4 82)
% 15.89/16.10 ; 16 with value (4 33) 81 with value (4 58) 13 with value (4 83)
% 15.89/16.10 ; 37 with value (4 34) 77 with value (4 59) 6 with value (4 84)
% 15.89/16.10 ; 22 with value (4 35) 81 with value (4 60) 5 with value (4 85)
% 15.89/16.10 ; 31 with value (4 36) 53 with value (4 61) 2 with value (4 86)
% 15.89/16.10 ; 37 with value (4 37) 73 with value (4 62) 8 with value (4 87)
% 15.89/16.10 ; 71 with value (4 38) 59 with value (4 63) 3 with value (4 88)
% 15.89/16.10 ; 67 with value (4 39) 45 with value (4 64) 11 with value (4 89)
% 15.89/16.10 ; 72 with value (4 40) 37 with value (4 65) 5 with value (4 90)
% 15.89/16.10 ; 81 with value (4 41) 43 with value (4 66) 4 with value (4 91)
% 15.89/16.10 ; 92 with value (4 42) 39 with value (4 67) 2 with value (4 92)
% 15.89/16.10 ; 86 with value (4 43) 36 with value (4 68) 7 with value (4 93)
% 15.89/16.10 ; 104 with value (4 44) 32 with value (4 69) 5 with value (4 94)
% 15.89/16.10 ; 92 with value (4 45) 30 with value (4 70) 6 with value (4 95)
% 15.89/16.10 ; 102 with value (4 46) 36 with value (4 71) 2 with value (4 96)
% 15.89/16.10 ; 85 with value (4 47) 19 with value (4 72) 3 with value (4 97)
% 15.89/16.10 ; 101 with value (4 48) 16 with value (4 73) 1 with value (4 98)
% 15.89/16.10 ; 78 with value (4 49) 27 with value (4 74) 3 with value (4 99)
% 15.89/16.10 ; 99 with value (4 50) 15 with value (4 75) 1 with value (4 103)
% 15.89/16.10 ; 66 with value (4 51) 13 with value (4 76) 1 with value (4 104)
% 15.89/16.10 ; 87 with value (4 52) 7 with value (4 77) 1 with value (4 108)
% 15.89/16.10 ; 88 with value (4 53) 9 with value (4 78) 1 with value (4 109)
% 15.89/16.10 ; 92 with value (4 54) 9 with value (4 79)
% 15.89/16.10 Evaluation took:
% 15.89/16.10 15.628 seconds of real time
% 15.89/16.10 15.493616 seconds of user run time
% 15.89/16.10 0.135089 seconds of system run time
% 15.89/16.10 [Run times include 0.499 seconds GC run time.]
% 15.89/16.10 0 calls to %EVAL
% 15.89/16.10 0 page faults and
% 15.89/16.10 721,815,584 bytes consed.
% 15.89/16.10 :PROOF-FOUND
% 15.89/16.10 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T16:04:07
% 15.89/16.10 :PROOF-FOUND
% 15.89/16.10 *
%------------------------------------------------------------------------------