TSTP Solution File: LCL901+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL901+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:26:57 EDT 2022
% Result : Theorem 7.50s 7.68s
% Output : Refutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 37 unt; 0 nHn; 5 RR)
% Number of literals : 48 ( 17 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 83 ( 15 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(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(13,axiom,
'==>'('==>'(X,Y),Y) = '==>'('==>'(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
cnf(14,axiom,
'+'(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
cnf(15,plain,
'+'(X,'+'(X,Y)) = '+'(X,Y),
inference('EMBED',[status(thm)],[14]) ).
cnf(16,negated_conjecture,
'==>'('==>'('==>'('SKOLEMAAAU1','1'),'SKOLEMAAAU1'),'SKOLEMAAAU1') != '0',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(17,plain,
'>='('+'(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,7]),1,theory(equality)]) ).
cnf(22,plain,
'>='(X,'==>'(Y,'+'(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[5,2]) ).
cnf(31,plain,
'>='('+'(X,'==>'(X,Y)),Y),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(33,plain,
'==>'('==>'('==>'(X,Y),Y),X) = '==>'('==>'('==>'(Y,X),X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]),13,theory(equality)]) ).
cnf(36,plain,
'>='(X,'==>'(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[5,17]) ).
cnf(37,plain,
'>='(X,'==>'(Y,Y)),
inference('HYPERRESOLVE',[status(thm)],[5,17]) ).
cnf(38,plain,
'>='('+'(X,Y),'==>'(Z,Y)),
inference('HYPERRESOLVE',[status(thm)],[5,17]) ).
cnf(39,plain,
'>='(X,'==>'('+'(Y,Z),Z)),
inference('HYPERRESOLVE',[status(thm)],[5,17]) ).
cnf(42,plain,
'>='('==>'(X,'+'(Y,Z)),'==>'(X,Z)),
inference('HYPERRESOLVE',[status(thm)],[10,17]) ).
cnf(50,plain,
'>='(X,'==>'('==>'(X,Y),Y)),
inference('PARAMODULATE',[status(thm)],[36,13,theory(equality)]) ).
cnf(53,plain,
'>='('+'(X,Y),'+'('==>'(Z,X),Y)),
inference('HYPERRESOLVE',[status(thm)],[8,36]) ).
cnf(55,plain,
'0' = '==>'(X,X),
inference('HYPERRESOLVE',[status(thm)],[4,37,7]) ).
cnf(73,plain,
'>='('==>'('0',X),X),
inference('PARAMODULATE',[status(thm)],[31,1,theory(equality)]) ).
cnf(78,plain,
'>='('+'(X,'+'('==>'(X,Y),Z)),'+'(Y,Z)),
inference('HYPERRESOLVE',[status(thm)],[8,31]) ).
cnf(88,plain,
'==>'('0',X) = X,
inference('HYPERRESOLVE',[status(thm)],[4,73,36]) ).
cnf(90,plain,
'>='(X,'==>'(Y,'==>'(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[5,38]) ).
cnf(104,plain,
'0' = '==>'('+'(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[4,39,7]) ).
cnf(167,plain,
'0' = '==>'(X,'==>'(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[4,90,7]) ).
cnf(321,plain,
'==>'(X,Y) = '==>'('==>'('==>'(X,Y),Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,167,theory(equality)]),88,theory(equality)]) ).
cnf(322,plain,
'==>'('==>'('==>'(X,Y),Y),X) = '==>'(Y,X),
inference('REWRITE',[status(thm)],[33,321,theory(equality)]) ).
cnf(745,plain,
'>='('+'(X,'==>'(X,Y)),'+'(X,Y)),
inference('PARAMODULATE',[status(thm)],[78,15,theory(equality)]) ).
cnf(868,plain,
'+'(X,'==>'(X,Y)) = '+'(X,Y),
inference('HYPERRESOLVE',[status(thm)],[4,745,53]) ).
cnf(1002,plain,
'>='('==>'('==>'(X,Y),Y),'==>'('==>'(Y,X),X)),
inference('PARAMODULATE',[status(thm)],[50,322,theory(equality)]) ).
cnf(1099,plain,
'>='(X,'==>'('==>'(X,Y),'+'(X,Y))),
inference('PARAMODULATE',[status(thm)],[22,868,theory(equality)]) ).
cnf(1100,plain,
'>='('==>'(X,Y),'==>'(X,'+'(X,Y))),
inference('PARAMODULATE',[status(thm)],[22,868,theory(equality)]) ).
cnf(2822,plain,
'==>'(X,Y) = '==>'(X,'+'(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[4,1100,42]) ).
cnf(4678,plain,
'>='('==>'('==>'(X,Y),'+'(X,Y)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1002,104,theory(equality)]),88,2822,theory(equality)]) ).
cnf(4706,plain,
'==>'('==>'(X,Y),'+'(X,Y)) = X,
inference('HYPERRESOLVE',[status(thm)],[4,4678,1099]) ).
cnf(4863,plain,
'==>'('==>'(X,Y),X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2822,868,theory(equality)]),4706,theory(equality)]) ).
cnf(4864,plain,
$false,
inference('REWRITE',[status(thm)],[16,55,4863,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL901+1 : TPTP v8.1.0. Released v5.5.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n016.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 : Sun Jul 3 19:55:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T19:55:16
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-03T19:55:16
% 0.19/0.47
% 0.19/0.47 ; Recognized associativity assertion (= (+ (+ ?X ?Y) ?Z) (+ ?X (+ ?Y ?Z))).
% 0.19/0.47 ; Recognized commutativity assertion (= (+ ?X ?Y) (+ ?Y ?X)).
% 0.19/0.48 ; Recognized right identity assertion (= (+ ?X |0|) ?X).
% 0.19/0.48 ; Declaring + to be commutative.
% 7.50/7.68 ; Declaring + to be associative-commutative.
% 7.50/7.68
% 7.50/7.68 #||
% 7.50/7.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/7.68 % SZS output start Refutation
% See solution above
% 7.50/7.68 ||#
% 7.50/7.68
% 7.50/7.68 ; Summary of computation:
% 7.50/7.68 ; 29914 formulas have been input or derived (from 167 formulas).
% 7.50/7.68 ; 4864 (16%) were retained. Of these,
% 7.50/7.68 ; 1254 (26%) were simplified or subsumed later,
% 7.50/7.68 ; 3610 (74%) are still being kept.
% 7.50/7.68 ;
% 7.50/7.68 ; Run time in seconds excluding printing time:
% 7.50/7.68 ; 0.003 0% Read assertion file (1 call)
% 7.50/7.68 ; 0.001 0% Assert (15 calls)
% 7.50/7.68 ; 0.462 6% Process new row (28,278 calls)
% 7.50/7.68 ; 0.532 7% Resolution (332 calls)
% 7.50/7.68 ; 0.195 3% Paramodulation (166 calls)
% 7.50/7.68 ; 0.001 0% Embedding (22 calls)
% 7.50/7.68 ; 0.036 0% Condensing (235 calls)
% 7.50/7.68 ; 0.013 0% Forward subsumption (235 calls)
% 7.50/7.68 ; 0.000 0% Backward subsumption (65 calls)
% 7.50/7.68 ; 0.030 0% Clause clause subsumption (1,436 calls)
% 7.50/7.68 ; 5.050 70% Forward simplification (25,443 calls)
% 7.50/7.68 ; 0.759 11% Backward simplification (4,843 calls)
% 7.50/7.68 ; 0.006 0% Ordering (4,347 calls)
% 7.50/7.68 ; 0.001 0% Ordering ac (100 calls)
% 7.50/7.68 ; 0.000 0% Sortal reasoning (32 calls)
% 7.50/7.68 ; 0.000 0% Purity testing (1 call)
% 7.50/7.68 ; 0.126 2% Other
% 7.50/7.68 ; 7.215 Total
% 7.50/7.68 ; 7.219 Real time
% 7.50/7.68 ;
% 7.50/7.68 ; Term-hash-array has 12,399 terms in all.
% 7.50/7.68 ; Feature-vector-row-index has 60 entries (60 at peak, 65 added, 5 deleted).
% 7.50/7.68 ; Feature-vector-row-index has 239 nodes (239 at peak, 257 added, 18 deleted).
% 7.50/7.68 ; Retrieved 1,846 possibly forward subsuming rows in 235 calls.
% 7.50/7.68 ; Retrieved 193 possibly backward subsumed rows in 65 calls.
% 7.50/7.68 ; Path-index has 9,592 entries (9,792 at peak, 12,548 added, 2,956 deleted).
% 7.50/7.68 ; Path-index has 2,636 nodes (2,703 at peak, 2,910 added, 274 deleted).
% 7.50/7.68 ; Trie-index has 9,592 entries (9,792 at peak, 12,548 added, 2,956 deleted).
% 7.50/7.68 ; Trie-index has 4,781 nodes (5,003 at peak, 5,504 added, 723 deleted).
% 7.50/7.68 ; Retrieved 1,354,256 generalization terms in 82,768 calls.
% 7.50/7.68 ; Retrieved 35,703 instance terms in 4,780 calls.
% 7.50/7.68 ; Retrieved 505,092 unifiable terms in 10,122 calls.
% 7.50/7.68 ;
% 7.50/7.68 ; The agenda of backward simplifiable rows to process has 84 entries:
% 7.50/7.68 ; 84 with value 0
% 7.50/7.68 ; The agenda of rows to process has 131 entries:
% 7.50/7.68 ; 34 with value 24 5 with value 30 1 with value 36
% 7.50/7.68 ; 12 with value 25 4 with value 31 4 with value 37
% 7.50/7.68 ; 23 with value 26 2 with value 32 4 with value 39
% 7.50/7.68 ; 13 with value 27 6 with value 33 1 with value 41
% 7.50/7.68 ; 8 with value 28 2 with value 34 2 with value 43
% 7.50/7.68 ; 6 with value 29 3 with value 35 1 with value 45
% 7.50/7.68 ; The agenda of rows to give has 3487 entries:
% 7.50/7.68 ; 1 with value (4 17) 346 with value (4 26) 38 with value (4 35)
% 7.50/7.68 ; 5 with value (4 18) 330 with value (4 27) 24 with value (4 36)
% 7.50/7.68 ; 60 with value (4 19) 364 with value (4 28) 25 with value (4 37)
% 7.50/7.68 ; 107 with value (4 20) 284 with value (4 29) 18 with value (4 38)
% 7.50/7.68 ; 152 with value (4 21) 223 with value (4 30) 8 with value (4 39)
% 7.50/7.68 ; 238 with value (4 22) 95 with value (4 31) 4 with value (4 40)
% 7.50/7.68 ; 276 with value (4 23) 54 with value (4 32) 3 with value (4 41)
% 7.50/7.68 ; 375 with value (4 24) 91 with value (4 33) 1 with value (4 44)
% 7.50/7.68 ; 311 with value (4 25) 53 with value (4 34) 1 with value (4 45)
% 7.50/7.68 Evaluation took:
% 7.50/7.68 7.22 seconds of real time
% 7.50/7.68 7.059898 seconds of user run time
% 7.50/7.68 0.159004 seconds of system run time
% 7.50/7.68 [Run times include 0.539 seconds GC run time.]
% 7.50/7.68 0 calls to %EVAL
% 7.50/7.68 0 page faults and
% 7.50/7.68 1,699,916,600 bytes consed.
% 7.50/7.68 :PROOF-FOUND
% 7.50/7.68 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T19:55:23
% 7.50/7.68 :PROOF-FOUND
% 7.50/7.68 *
%------------------------------------------------------------------------------