TSTP Solution File: LCL848-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 14:26:38 EDT 2022
% Result : Unsatisfiable 1.07s 1.25s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 19 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_IT_OVar_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X),Y,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,Y,tc_Lambda_OdB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT_OVar_0) ).
cnf(cls_foldl__Nil_0,axiom,
c_List_Ofoldl(X,Y,c_List_Olist_ONil(Z),U,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
cnf(cls_foldl__Cons_0,axiom,
c_List_Ofoldl(X,Y,c_List_Olist_OCons(Z,U,V),W,V) = c_List_Ofoldl(X,hAPP(hAPP(X,Y),Z),U,W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
cnf(cls_CHAINED_0,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(550,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))))),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_foldl__Nil_0,cls_foldl__Cons_0,theory(equality)]) ).
cnf(1377,plain,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
inference('HYPERRESOLVE',[status(thm)],[cls_IT_OVar_0,cls_CHAINED_0]) ).
cnf(2325,plain,
c_List_Ofoldl(X,Y,c_List_Olist_OCons(Z,c_List_Olist_ONil(U),U),V,U) = hAPP(hAPP(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[cls_foldl__Nil_0,cls_foldl__Cons_0,theory(equality)]) ).
cnf(2327,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X)),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))))),
inference('REWRITE',[status(thm)],[1377,2325,theory(equality)]) ).
cnf(2328,plain,
$false,
inference('REWRITE',[status(thm)],[550,2327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 4 04:55:55 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.44 #<PACKAGE "SNARK-USER">
% 0.19/0.44 *
% 0.19/0.44 SNARK-TPTP-OPTIONS
% 0.19/0.44 *
% 0.19/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.44 (USE-FACTORING :POS)
% 0.19/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.44 *
% 0.19/0.44 "."
% 0.19/0.44 *
% 0.19/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T04:55:55
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-04T04:55:55
% 0.43/0.59
% 0.43/0.59 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 1.07/1.25 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 1.07/1.25
% 1.07/1.25 #||
% 1.07/1.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.25 % SZS output start Refutation
% See solution above
% 1.07/1.25 ||#
% 1.07/1.25
% 1.07/1.25 ; Summary of computation:
% 1.07/1.25 ; 5811 formulas have been input or derived (from 432 formulas).
% 1.07/1.25 ; 2328 (40%) were retained. Of these,
% 1.07/1.25 ; 173 ( 7%) were simplified or subsumed later,
% 1.07/1.25 ; 2155 (93%) are still being kept.
% 1.07/1.25 ;
% 1.07/1.25 ; Run time in seconds excluding printing time:
% 1.07/1.25 ; 0.135 17% Read assertion file (1 call)
% 1.07/1.25 ; 0.014 2% Assert (723 calls)
% 1.07/1.25 ; 0.170 21% Process new row (5,014 calls)
% 1.07/1.25 ; 0.145 18% Resolution (862 calls)
% 1.07/1.25 ; 0.018 2% Paramodulation (431 calls)
% 1.07/1.25 ; 0.001 0% Factoring (22 calls)
% 1.07/1.25 ; 0.029 4% Condensing (1,749 calls)
% 1.07/1.25 ; 0.044 5% Forward subsumption (1,749 calls)
% 1.07/1.25 ; 0.021 3% Backward subsumption (999 calls)
% 1.07/1.25 ; 0.018 2% Clause clause subsumption (2,086 calls)
% 1.07/1.25 ; 0.116 14% Forward simplification (4,975 calls)
% 1.07/1.25 ; 0.026 3% Backward simplification (2,321 calls)
% 1.07/1.26 ; 0.034 4% Ordering (8,575 calls)
% 1.07/1.26 ; 0.000 0% Sortal reasoning (32 calls)
% 1.07/1.26 ; 0.001 0% Purity testing (1 call)
% 1.07/1.26 ; 0.037 5% Other
% 1.07/1.26 ; 0.809 Total
% 1.07/1.26 ; 0.810 Real time
% 1.07/1.26 ;
% 1.07/1.26 ; Term-hash-array has 5,680 terms in all.
% 1.07/1.26 ; Feature-vector-row-index has 917 entries (917 at peak, 999 added, 82 deleted).
% 1.07/1.26 ; Feature-vector-row-index has 5,606 nodes (5,606 at peak, 6,223 added, 617 deleted).
% 1.07/1.26 ; Retrieved 3,214 possibly forward subsuming rows in 1,749 calls.
% 1.07/1.26 ; Retrieved 256 possibly backward subsumed rows in 999 calls.
% 1.07/1.26 ; Path-index has 5,286 entries (5,292 at peak, 5,813 added, 527 deleted).
% 1.07/1.26 ; Path-index has 14,849 nodes (14,866 at peak, 15,750 added, 901 deleted).
% 1.07/1.26 ; Trie-index has 5,286 entries (5,292 at peak, 5,813 added, 527 deleted).
% 1.07/1.26 ; Trie-index has 26,179 nodes (26,238 at peak, 29,280 added, 3,101 deleted).
% 1.07/1.26 ; Retrieved 11,675 generalization terms in 20,488 calls.
% 1.07/1.26 ; Retrieved 2,221 instance terms in 1,458 calls.
% 1.07/1.26 ; Retrieved 149,992 unifiable terms in 4,973 calls.
% 1.07/1.26 ;
% 1.07/1.26 ; The agenda of rows to process has 39 entries:
% 1.07/1.26 ; 2 with value 22 5 with value 27 7 with value 34
% 1.07/1.26 ; 1 with value 23 1 with value 28 1 with value 35
% 1.07/1.26 ; 3 with value 24 6 with value 29 1 with value 38
% 1.07/1.26 ; 2 with value 25 3 with value 30 1 with value 41
% 1.07/1.26 ; 1 with value 26 5 with value 33
% 1.07/1.26 ; The agenda of input rows to give has 166 entries:
% 1.07/1.26 ; 13 with value 25 3 with value 35 1 with value 47
% 1.07/1.26 ; 21 with value 26 4 with value 36 2 with value 48
% 1.07/1.26 ; 19 with value 27 1 with value 37 5 with value 49
% 1.07/1.26 ; 10 with value 28 4 with value 38 3 with value 50
% 1.07/1.26 ; 8 with value 29 3 with value 39 1 with value 51
% 1.07/1.26 ; 7 with value 30 1 with value 40 1 with value 57
% 1.07/1.26 ; 22 with value 31 2 with value 41 1 with value 59
% 1.07/1.26 ; 8 with value 32 3 with value 42 2 with value 62
% 1.07/1.26 ; 6 with value 33 2 with value 45 1 with value 63
% 1.07/1.26 ; 10 with value 34 1 with value 46 1 with value 101
% 1.07/1.26 ; The agenda of rows to give has 1575 entries:
% 1.07/1.26 ; 3 with value (4 4) 97 with value (4 22) 4 with value (4 38)
% 1.07/1.26 ; 6 with value (4 6) 104 with value (4 23) 9 with value (4 39)
% 1.07/1.26 ; 8 with value (4 7) 93 with value (4 24) 17 with value (4 40)
% 1.07/1.26 ; 7 with value (4 8) 67 with value (4 25) 9 with value (4 41)
% 1.07/1.26 ; 13 with value (4 9) 75 with value (4 26) 1 with value (4 42)
% 1.07/1.26 ; 10 with value (4 10) 52 with value (4 27) 4 with value (4 43)
% 1.07/1.26 ; 30 with value (4 11) 33 with value (4 28) 4 with value (4 46)
% 1.07/1.26 ; 17 with value (4 12) 52 with value (4 29) 1 with value (4 47)
% 1.07/1.26 ; 46 with value (4 13) 77 with value (4 30) 2 with value (4 49)
% 1.07/1.26 ; 39 with value (4 14) 47 with value (4 31) 3 with value (4 51)
% 1.07/1.26 ; 56 with value (4 15) 37 with value (4 32) 2 with value (4 52)
% 1.07/1.26 ; 48 with value (4 16) 63 with value (4 33) 2 with value (4 53)
% 1.07/1.26 ; 59 with value (4 17) 11 with value (4 34) 1 with value (4 55)
% 1.07/1.26 ; 78 with value (4 18) 15 with value (4 35) 1 with value (4 56)
% 1.07/1.26 ; 74 with value (4 19) 9 with value (4 36) 1 with value (4 57)
% 1.07/1.26 ; 92 with value (4 20) 10 with value (4 37) 1 with value (4 58)
% 1.07/1.26 ; 85 with value (4 21)
% 1.07/1.26 Evaluation took:
% 1.07/1.26 0.811 seconds of real time
% 1.07/1.26 0.75572 seconds of user run time
% 1.07/1.26 0.055001 seconds of system run time
% 1.07/1.26 [Run times include 0.049 seconds GC run time.]
% 1.07/1.26 0 calls to %EVAL
% 1.07/1.26 0 page faults and
% 1.07/1.26 59,624,800 bytes consed.
% 1.07/1.26 :PROOF-FOUND
% 1.07/1.26 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T04:55:56
% 1.07/1.26 :PROOF-FOUND
% 1.07/1.26 *
%------------------------------------------------------------------------------