TSTP Solution File: LCL834-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:26:32 EDT 2022
% Result : Unsatisfiable 1.11s 1.29s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-5 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_beta_0,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X)),Y)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X),Y),c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta_0) ).
cnf(cls_apps__preserves__beta_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X,Y,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,Z,Y,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(1711,plain,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X)),Y),Z,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X),Y),c_HOL_Ozero__class_Ozero(tc_nat)),Z,tc_Lambda_OdB,tc_Lambda_OdB))),
inference('HYPERRESOLVE',[status(thm)],[cls_apps__preserves__beta_0,cls_beta_0]) ).
cnf(1712,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,1711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 03:05:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T03:05:38
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-04T03:05:38
% 0.41/0.60 WARNING:
% 0.41/0.60 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60 WARNING:
% 0.41/0.60 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60 WARNING:
% 0.41/0.60 |c_OrderedGroup_Omonoid__add| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60 WARNING:
% 0.41/0.60 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60 WARNING:
% 0.41/0.60 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60 WARNING:
% 0.41/0.60 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60 WARNING:
% 0.41/0.60 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.11/1.29
% 1.11/1.29
% 1.11/1.29 #||
% 1.11/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.11/1.29 % SZS output start Refutation
% See solution above
% 1.11/1.29 ||#
% 1.11/1.29
% 1.11/1.29 ; Summary of computation:
% 1.11/1.29 ; 3722 formulas have been input or derived (from 277 formulas).
% 1.11/1.29 ; 1712 (46%) were retained. Of these,
% 1.11/1.29 ; 62 ( 4%) were simplified or subsumed later,
% 1.11/1.29 ; 1650 (96%) are still being kept.
% 1.11/1.29 ;
% 1.11/1.29 ; Run time in seconds:
% 1.11/1.29 ; 0.103 13% Read assertion file (1 call)
% 1.11/1.29 ; 0.010 1% Assert (472 calls)
% 1.11/1.29 ; 0.181 22% Process new row (3,319 calls)
% 1.11/1.29 ; 0.086 11% Resolution (552 calls)
% 1.11/1.29 ; 0.027 3% Paramodulation (276 calls)
% 1.11/1.29 ; 0.000 0% Factoring (11 calls)
% 1.11/1.29 ; 0.020 2% Condensing (1,377 calls)
% 1.11/1.29 ; 0.111 14% Forward subsumption (1,377 calls)
% 1.11/1.29 ; 0.029 4% Backward subsumption (827 calls)
% 1.11/1.29 ; 0.018 2% Clause clause subsumption (2,971 calls)
% 1.11/1.29 ; 0.130 16% Forward simplification (3,300 calls)
% 1.11/1.29 ; 0.021 3% Backward simplification (1,703 calls)
% 1.11/1.29 ; 0.045 6% Ordering (10,790 calls)
% 1.11/1.29 ; 0.001 0% Sortal reasoning (32 calls)
% 1.11/1.29 ; 0.001 0% Purity testing (1 call)
% 1.11/1.29 ; 0.033 4% Other
% 1.11/1.29 ; 0.816 Total
% 1.11/1.29 ; 0.816 Real time
% 1.11/1.29 ;
% 1.17/1.34 ; Term-hash-array has 5,298 terms in all.
% 1.17/1.34 ; Feature-vector-row-index has 801 entries (801 at peak, 827 added, 26 deleted).
% 1.17/1.34 ; Feature-vector-row-index has 7,309 nodes (7,309 at peak, 7,623 added, 314 deleted).
% 1.17/1.34 ; Retrieved 4,309 possibly forward subsuming rows in 1,377 calls.
% 1.17/1.34 ; Retrieved 321 possibly backward subsumed rows in 827 calls.
% 1.17/1.34 ; Path-index has 5,193 entries (5,196 at peak, 5,370 added, 177 deleted).
% 1.17/1.34 ; Path-index has 11,990 nodes (11,993 at peak, 12,285 added, 295 deleted).
% 1.17/1.34 ; Trie-index has 5,193 entries (5,196 at peak, 5,370 added, 177 deleted).
% 1.17/1.34 ; Trie-index has 25,665 nodes (25,706 at peak, 26,666 added, 1,001 deleted).
% 1.17/1.34 ; Retrieved 10,438 generalization terms in 20,849 calls.
% 1.17/1.34 ; Retrieved 1,703 instance terms in 1,138 calls.
% 1.17/1.34 ; Retrieved 88,235 unifiable terms in 2,919 calls.
% 1.17/1.34 ;
% 1.17/1.34 ; The agenda of input rows to give has 89 entries:
% 1.17/1.34 ; 1 with value 29 1 with value 44 1 with value 59
% 1.17/1.34 ; 6 with value 30 2 with value 45 1 with value 60
% 1.17/1.34 ; 9 with value 31 1 with value 47 1 with value 61
% 1.17/1.34 ; 7 with value 32 1 with value 48 1 with value 62
% 1.17/1.34 ; 9 with value 33 4 with value 49 1 with value 63
% 1.17/1.34 ; 5 with value 34 1 with value 50 1 with value 64
% 1.17/1.34 ; 3 with value 35 2 with value 51 1 with value 65
% 1.17/1.34 ; 6 with value 36 2 with value 52 1 with value 67
% 1.17/1.34 ; 5 with value 38 2 with value 53 1 with value 71
% 1.17/1.34 ; 2 with value 39 1 with value 54 1 with value 72
% 1.17/1.34 ; 1 with value 40 1 with value 55 1 with value 73
% 1.17/1.34 ; 1 with value 41 1 with value 57 1 with value 74
% 1.17/1.34 ; 2 with value 42 1 with value 58
% 1.17/1.34 ; The agenda of rows to give has 1285 entries:
% 1.17/1.34 ; 1 with value (4 6) 53 with value (4 25) 23 with value (4 44)
% 1.17/1.34 ; 5 with value (4 7) 66 with value (4 26) 18 with value (4 45)
% 1.17/1.34 ; 1 with value (4 8) 46 with value (4 27) 16 with value (4 46)
% 1.17/1.34 ; 4 with value (4 9) 54 with value (4 28) 5 with value (4 47)
% 1.17/1.34 ; 4 with value (4 10) 48 with value (4 29) 6 with value (4 48)
% 1.17/1.34 ; 8 with value (4 11) 65 with value (4 30) 5 with value (4 49)
% 1.17/1.34 ; 8 with value (4 12) 39 with value (4 31) 7 with value (4 50)
% 1.17/1.34 ; 18 with value (4 13) 40 with value (4 32) 5 with value (4 51)
% 1.17/1.34 ; 25 with value (4 14) 34 with value (4 33) 3 with value (4 52)
% 1.17/1.34 ; 33 with value (4 15) 44 with value (4 34) 6 with value (4 53)
% 1.17/1.34 ; 20 with value (4 16) 42 with value (4 35) 2 with value (4 54)
% 1.17/1.34 ; 30 with value (4 17) 34 with value (4 36) 6 with value (4 55)
% 1.17/1.34 ; 29 with value (4 18) 46 with value (4 37) 4 with value (4 56)
% 1.17/1.34 ; 32 with value (4 19) 48 with value (4 38) 9 with value (4 57)
% 1.17/1.34 ; 25 with value (4 20) 25 with value (4 39) 1 with value (4 58)
% 1.17/1.34 ; 32 with value (4 21) 18 with value (4 40) 6 with value (4 59)
% 1.17/1.34 ; 41 with value (4 22) 19 with value (4 41) 2 with value (4 63)
% 1.17/1.34 ; 40 with value (4 23) 14 with value (4 42) 1 with value (4 65)
% 1.17/1.34 ; 50 with value (4 24) 18 with value (4 43) 1 with value (4 66)
% 1.17/1.34 Evaluation took:
% 1.17/1.34 0.861 seconds of real time
% 1.17/1.34 0.804059 seconds of user run time
% 1.17/1.34 0.055981 seconds of system run time
% 1.17/1.34 [Run times include 0.097 seconds GC run time.]
% 1.17/1.34 0 calls to %EVAL
% 1.17/1.34 0 page faults and
% 1.17/1.34 62,886,752 bytes consed.
% 1.17/1.34 :PROOF-FOUND
% 1.17/1.34 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T03:05:39
% 1.17/1.34 :PROOF-FOUND
% 1.17/1.34 *
%------------------------------------------------------------------------------