TSTP Solution File: LCL777-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL777-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 14:25:59 EDT 2022
% Result : Unsatisfiable 0.75s 0.96s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-5 aty)
% Number of variables : 30 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_rotate__simps_1,axiom,
c_List_Orotate1(c_List_Olist_OCons(X,Y,Z),Z) = c_List_Oappend(Y,c_List_Olist_OCons(X,c_List_Olist_ONil(Z),Z),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__simps_1) ).
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_foldl__append_0,axiom,
c_List_Ofoldl(X,Y,c_List_Oappend(Z,U,V),W,V) = c_List_Ofoldl(X,c_List_Ofoldl(X,Y,Z,W,V),U,W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__append_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(303,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Orotate1(c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),v_ss,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_rotate__simps_1,theory(equality)]) ).
cnf(1503,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(1531,plain,
c_List_Ofoldl(X,Y,c_List_Orotate1(c_List_Olist_OCons(Z,U,V),V),W,V) = hAPP(hAPP(X,c_List_Ofoldl(X,Y,U,W,V)),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_foldl__append_0,cls_rotate__simps_1,theory(equality)]),1503,theory(equality)]) ).
cnf(1532,plain,
$false,
inference('REWRITE',[status(thm)],[303,cls_conjecture_1,1531,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL777-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.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 23:32:17 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 2022-07-03T23:32:18
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-03T23:32:18
% 0.18/0.55
% 0.18/0.55 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.75/0.96 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.75/0.96
% 0.75/0.96 #||
% 0.75/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.96 % SZS output start Refutation
% See solution above
% 0.75/0.96 ||#
% 0.75/0.96
% 0.75/0.96 ; Summary of computation:
% 0.75/0.96 ; 3155 formulas have been input or derived (from 229 formulas).
% 0.75/0.96 ; 1532 (49%) were retained. Of these,
% 0.75/0.96 ; 90 ( 6%) were simplified or subsumed later,
% 0.75/0.96 ; 1442 (94%) are still being kept.
% 0.75/0.96 ;
% 0.75/0.96 ; Run time in seconds excluding printing time:
% 0.75/0.96 ; 0.078 16% Read assertion file (1 call)
% 0.75/0.96 ; 0.008 2% Assert (388 calls)
% 0.75/0.96 ; 0.146 29% Process new row (2,760 calls)
% 0.75/0.96 ; 0.062 12% Resolution (456 calls)
% 0.75/0.96 ; 0.010 2% Paramodulation (228 calls)
% 0.75/0.96 ; 0.000 0% Factoring (18 calls)
% 0.75/0.96 ; 0.011 2% Condensing (826 calls)
% 0.75/0.96 ; 0.024 5% Forward subsumption (826 calls)
% 0.75/0.96 ; 0.008 2% Backward subsumption (509 calls)
% 0.75/0.96 ; 0.007 1% Clause clause subsumption (1,005 calls)
% 0.75/0.96 ; 0.066 13% Forward simplification (2,759 calls)
% 0.75/0.96 ; 0.022 4% Backward simplification (1,521 calls)
% 0.75/0.96 ; 0.027 5% Ordering (5,992 calls)
% 0.75/0.96 ; 0.001 0% Sortal reasoning (32 calls)
% 0.75/0.96 ; 0.001 0% Purity testing (1 call)
% 0.75/0.96 ; 0.029 6% Other
% 0.75/0.96 ; 0.500 Total
% 0.75/0.96 ; 0.502 Real time
% 0.75/0.96 ;
% 0.75/0.96 ; Term-hash-array has 3,860 terms in all.
% 0.75/0.96 ; Feature-vector-row-index has 481 entries (481 at peak, 509 added, 28 deleted).
% 0.75/0.96 ; Feature-vector-row-index has 2,931 nodes (2,931 at peak, 3,237 added, 306 deleted).
% 0.75/0.96 ; Retrieved 1,421 possibly forward subsuming rows in 826 calls.
% 0.75/0.96 ; Retrieved 107 possibly backward subsumed rows in 509 calls.
% 0.75/0.96 ; Path-index has 3,673 entries (3,678 at peak, 3,947 added, 274 deleted).
% 0.75/0.96 ; Path-index has 9,852 nodes (9,870 at peak, 10,311 added, 459 deleted).
% 0.75/0.96 ; Trie-index has 3,673 entries (3,678 at peak, 3,947 added, 274 deleted).
% 0.75/0.96 ; Trie-index has 18,152 nodes (18,187 at peak, 19,888 added, 1,736 deleted).
% 0.75/0.96 ; Retrieved 6,316 generalization terms in 11,138 calls.
% 0.75/0.96 ; Retrieved 1,614 instance terms in 1,108 calls.
% 0.75/0.96 ; Retrieved 58,969 unifiable terms in 2,592 calls.
% 0.75/0.96 ;
% 0.75/0.96 ; The agenda of rows to process has 22 entries:
% 0.75/0.96 ; 2 with value 32 7 with value 34 4 with value 37
% 0.75/0.96 ; 5 with value 33 2 with value 36 2 with value 38
% 0.75/0.96 ; The agenda of input rows to give has 70 entries:
% 0.75/0.96 ; 1 with value 24 1 with value 32 1 with value 40
% 0.75/0.96 ; 7 with value 25 7 with value 33 1 with value 41
% 0.75/0.96 ; 7 with value 26 3 with value 34 1 with value 42
% 0.75/0.96 ; 5 with value 27 1 with value 35 1 with value 44
% 0.75/0.96 ; 5 with value 28 5 with value 36 1 with value 45
% 0.75/0.96 ; 3 with value 29 1 with value 37 1 with value 47
% 0.75/0.96 ; 7 with value 30 3 with value 38 1 with value 51
% 0.75/0.96 ; 4 with value 31 2 with value 39 1 with value 77
% 0.75/0.96 ; The agenda of rows to give has 1145 entries:
% 0.75/0.96 ; 2 with value (4 6) 58 with value (4 19) 27 with value (4 32)
% 0.75/0.96 ; 6 with value (4 7) 64 with value (4 20) 52 with value (4 33)
% 0.75/0.96 ; 3 with value (4 8) 69 with value (4 21) 10 with value (4 34)
% 0.75/0.96 ; 5 with value (4 9) 62 with value (4 22) 4 with value (4 35)
% 0.75/0.96 ; 6 with value (4 10) 92 with value (4 23) 5 with value (4 36)
% 0.75/0.96 ; 16 with value (4 11) 66 with value (4 24) 7 with value (4 37)
% 0.75/0.96 ; 11 with value (4 12) 55 with value (4 25) 7 with value (4 38)
% 0.75/0.96 ; 27 with value (4 13) 62 with value (4 26) 7 with value (4 39)
% 0.75/0.96 ; 24 with value (4 14) 44 with value (4 27) 16 with value (4 40)
% 0.75/0.96 ; 51 with value (4 15) 18 with value (4 28) 1 with value (4 41)
% 0.75/0.96 ; 40 with value (4 16) 47 with value (4 29) 2 with value (4 42)
% 0.75/0.96 ; 31 with value (4 17) 67 with value (4 30) 1 with value (4 43)
% 0.75/0.96 ; 51 with value (4 18) 29 with value (4 31)
% 0.75/0.96 Evaluation took:
% 0.75/0.96 0.503 seconds of real time
% 0.75/0.96 0.465121 seconds of user run time
% 0.75/0.96 0.037065 seconds of system run time
% 0.75/0.96 [Run times include 0.023 seconds GC run time.]
% 0.75/0.96 0 calls to %EVAL
% 0.75/0.96 0 page faults and
% 0.75/0.96 35,563,384 bytes consed.
% 0.75/0.96 :PROOF-FOUND
% 0.75/0.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T23:32:18
% 0.75/0.96 :PROOF-FOUND
% 0.75/0.96 *
%------------------------------------------------------------------------------