TSTP Solution File: LCL894+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL894+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 : Sun Jul 17 14:26:54 EDT 2022
% Result : Theorem 21.54s 21.77s
% Output : Refutation 21.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 16 unt; 2 nHn; 14 RR)
% Number of literals : 39 ( 5 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
'+'(X,'0') = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(2,axiom,
'>='(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(3,axiom,
( ~ '>='(X,Y)
| ~ '>='(Y,Z)
| '>='(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(4,axiom,
( ~ '>='(X,Y)
| ~ '>='(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(5,axiom,
( ~ '>='('+'(X,Y),Z)
| '>='(Y,'==>'(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
cnf(6,axiom,
( '>='('+'(X,Y),Z)
| ~ '>='(Y,'==>'(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
cnf(7,axiom,
'>='(X,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
cnf(8,axiom,
( ~ '>='(X,Y)
| '>='('+'(X,Z),'+'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
cnf(10,axiom,
( ~ '>='(X,Y)
| '>='('==>'(Z,X),'==>'(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
cnf(11,axiom,
'+'(X,'==>'(X,Y)) = '+'(Y,'==>'(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
cnf(13,negated_conjecture,
( ~ '>='(c,a)
| ~ '>='(c,b)
| ~ '>='(c,'+'(a,'==>'(a,b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_13) ).
cnf(14,negated_conjecture,
( '>='(c,a)
| '>='(c,'+'(a,'==>'(a,b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_13) ).
cnf(15,negated_conjecture,
( '>='(c,b)
| '>='(c,'+'(a,'==>'(a,b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_13) ).
cnf(16,plain,
'>='('+'(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,7]),1,theory(equality)]) ).
cnf(23,plain,
'>='('+'(X,'==>'(X,Y)),Y),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(73,plain,
'>='(c,a),
inference('HYPERRESOLVE',[status(thm)],[3,16,14]) ).
cnf(74,plain,
( ~ '>='(c,b)
| ~ '>='(c,'+'(a,'==>'(a,b))) ),
inference('REWRITE',[status(thm)],[13,73]) ).
cnf(102,plain,
'>='('==>'(X,c),'==>'(X,a)),
inference('HYPERRESOLVE',[status(thm)],[10,73]) ).
cnf(160,plain,
'>='(c,b),
inference('HYPERRESOLVE',[status(thm)],[3,23,15]) ).
cnf(161,plain,
~ '>='(c,'+'(a,'==>'(a,b))),
inference('REWRITE',[status(thm)],[74,160]) ).
cnf(182,plain,
'>='('+'(c,X),b),
inference('HYPERRESOLVE',[status(thm)],[3,160,16]) ).
cnf(197,plain,
'>='(X,'==>'(c,b)),
inference('HYPERRESOLVE',[status(thm)],[5,182]) ).
cnf(234,plain,
'0' = '==>'(c,b),
inference('HYPERRESOLVE',[status(thm)],[4,197,7]) ).
cnf(245,plain,
'>='('+'('==>'(X,c),Y),'+'('==>'(X,a),Y)),
inference('HYPERRESOLVE',[status(thm)],[8,102]) ).
cnf(352,plain,
c = '+'(b,'==>'(b,c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,234,theory(equality)]),1,theory(equality)]) ).
cnf(15828,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[245,352,theory(equality)]),161,11,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL894+1 : TPTP v8.1.0. Released v5.5.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n009.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 : Mon Jul 4 08:52:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T08:52:52
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-04T08:52:52
% 0.20/0.48
% 0.20/0.48 ; Recognized associativity assertion (= (+ (+ ?X ?Y) ?Z) (+ ?X (+ ?Y ?Z))).
% 0.20/0.48 ; Recognized commutativity assertion (= (+ ?X ?Y) (+ ?Y ?X)).
% 0.20/0.48 ; Recognized right identity assertion (= (+ ?X |0|) ?X).
% 0.20/0.48 ; Declaring + to be commutative.
% 21.54/21.77 ; Declaring + to be associative-commutative.
% 21.54/21.77
% 21.54/21.77 #||
% 21.54/21.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.54/21.77 % SZS output start Refutation
% See solution above
% 21.61/21.79 ||#
% 21.61/21.79
% 21.61/21.79 ; Summary of computation:
% 21.61/21.79 ; 70526 formulas have been input or derived (from 368 formulas).
% 21.61/21.79 ; 15828 (22%) were retained. Of these,
% 21.61/21.79 ; 1809 (11%) were simplified or subsumed later,
% 21.61/21.79 ; 14019 (89%) are still being kept.
% 21.61/21.79 ;
% 21.61/21.79 ; Run time in seconds excluding printing time:
% 21.61/21.79 ; 0.003 0% Read assertion file (1 call)
% 21.61/21.79 ; 0.001 0% Assert (13 calls)
% 21.61/21.79 ; 1.653 8% Process new row (66,777 calls)
% 21.61/21.79 ; 4.509 21% Resolution (734 calls)
% 21.61/21.79 ; 0.297 1% Paramodulation (367 calls)
% 21.61/21.79 ; 0.000 0% Factoring (2 calls)
% 21.61/21.79 ; 0.000 0% Embedding (36 calls)
% 21.61/21.79 ; 0.003 0% Condensing (95 calls)
% 21.61/21.79 ; 0.004 0% Forward subsumption (95 calls)
% 21.61/21.79 ; 0.001 0% Backward subsumption (57 calls)
% 21.61/21.79 ; 0.006 0% Clause clause subsumption (305 calls)
% 21.61/21.79 ; 12.984 61% Forward simplification (63,412 calls)
% 21.61/21.79 ; 1.246 6% Backward simplification (15,798 calls)
% 21.61/21.79 ; 0.194 1% Ordering (44,070 calls)
% 21.61/21.79 ; 0.177 1% Ordering ac (31,262 calls)
% 21.61/21.79 ; 0.000 0% Sortal reasoning (32 calls)
% 21.61/21.79 ; 0.000 0% Purity testing (1 call)
% 21.61/21.79 ; 0.211 1% Other
% 21.61/21.79 ; 21.289 Total
% 21.61/21.79 ; 21.317 Real time
% 21.61/21.79 ;
% 21.61/21.79 ; Term-hash-array has 31,041 terms in all.
% 21.61/21.79 ; Feature-vector-row-index has 42 entries (42 at peak, 57 added, 15 deleted).
% 21.61/21.79 ; Feature-vector-row-index has 246 nodes (246 at peak, 367 added, 121 deleted).
% 21.61/21.79 ; Retrieved 478 possibly forward subsuming rows in 95 calls.
% 21.61/21.79 ; Retrieved 23 possibly backward subsumed rows in 57 calls.
% 21.61/21.79 ; Path-index has 27,055 entries (27,055 at peak, 31,131 added, 4,076 deleted).
% 21.61/21.79 ; Path-index has 3,236 nodes (3,236 at peak, 3,332 added, 96 deleted).
% 21.61/21.79 ; Trie-index has 27,055 entries (27,055 at peak, 31,131 added, 4,076 deleted).
% 21.61/21.79 ; Trie-index has 6,802 nodes (6,802 at peak, 7,812 added, 1,010 deleted).
% 21.61/21.79 ; Retrieved 14,344,999 generalization terms in 188,516 calls.
% 21.61/21.79 ; Retrieved 194,045 instance terms in 15,777 calls.
% 21.61/21.79 ; Retrieved 2,023,263 unifiable terms in 32,252 calls.
% 21.61/21.79 ;
% 21.61/21.79 ; The agenda of rows to process has 845 entries:
% 21.61/21.79 ; 4 with value 17 60 with value 24 12 with value 30
% 21.61/21.79 ; 19 with value 18 70 with value 25 11 with value 31
% 21.61/21.79 ; 128 with value 19 29 with value 26 10 with value 33
% 21.61/21.79 ; 43 with value 20 80 with value 27 1 with value 34
% 21.61/21.79 ; 123 with value 21 43 with value 28 6 with value 35
% 21.61/21.79 ; 73 with value 22 53 with value 29 4 with value 37
% 21.61/21.79 ; 76 with value 23
% 21.61/21.79 ; The agenda of rows to give has 13687 entries:
% 21.61/21.79 ; 4 with value (4 16) 805 with value (4 28) 43 with value (4 38)
% 21.61/21.79 ; 185 with value (4 18) 541 with value (4 29) 22 with value (4 39)
% 21.61/21.79 ; 361 with value (4 19) 398 with value (4 30) 9 with value (4 40)
% 21.61/21.79 ; 497 with value (4 20) 216 with value (4 31) 4 with value (4 41)
% 21.61/21.79 ; 846 with value (4 21) 147 with value (4 32) 4 with value (4 42)
% 21.61/21.79 ; 1326 with value (4 22) 121 with value (4 33) 2 with value (4 43)
% 21.61/21.79 ; 1536 with value (4 23) 113 with value (4 34) 7 with value (4 44)
% 21.61/21.79 ; 1849 with value (4 24) 97 with value (4 35) 3 with value (4 46)
% 21.61/21.79 ; 1402 with value (4 25) 42 with value (4 36) 1 with value (4 48)
% 21.61/21.79 ; 1731 with value (4 26) 31 with value (4 37) 1 with value (4 50)
% 21.61/21.79 ; 1343 with value (4 27)
% 21.61/21.79 Evaluation took:
% 21.61/21.79 21.318 seconds of real time
% 21.61/21.79 20.80848 seconds of user run time
% 21.61/21.79 0.500752 seconds of system run time
% 21.61/21.79 [Run times include 1.427 seconds GC run time.]
% 21.61/21.79 0 calls to %EVAL
% 21.61/21.79 0 page faults and
% 21.61/21.79 1,060,024,072 bytes consed.
% 21.61/21.79 :PROOF-FOUND
% 21.61/21.79 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T08:53:13
% 21.61/21.79 :PROOF-FOUND
% 21.61/21.79 *
%------------------------------------------------------------------------------