TSTP Solution File: LCL800-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:26:13 EDT 2022
% Result : Unsatisfiable 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 8 unt; 1 nHn; 5 RR)
% Number of literals : 10 ( 4 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_less__not__refl_0,axiom,
~ c_HOL_Oord__class_Oless(X,X,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
cnf(cls_subst__Var_1,axiom,
( c_HOL_Oord__class_Oless(X,X,tc_nat)
| c_Lambda_Osubst(c_Lambda_OdB_OVar(X),Y,X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Var_1) ).
cnf(201,plain,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X),Y,X) = Y,
inference('REWRITE',[status(thm)],[cls_subst__Var_1,cls_less__not__refl_0]) ).
cnf(cls_subst__App_0,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OApp(X,Y),Z,U) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X,Z,U),c_Lambda_Osubst(Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__App_0) ).
cnf(cls_subst__lift_0,axiom,
c_Lambda_Osubst(c_Lambda_Olift(X,Y),Z,Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(236,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,201,cls_subst__lift_0,cls_subst__App_0,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(238,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jul 3 00:06:38 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T00:06:38
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-03T00:06:38
% 0.43/0.61
% 0.43/0.61 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.49/0.66 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.49/0.66
% 0.49/0.66 #||
% 0.49/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.66 % SZS output start Refutation
% See solution above
% 0.49/0.66 ||#
% 0.49/0.66
% 0.49/0.66 ; Summary of computation:
% 0.49/0.66 ; 405 formulas have been input or derived (from 1 formulas).
% 0.49/0.66 ; 238 (59%) were retained. Of these,
% 0.49/0.66 ; 20 ( 8%) were simplified or subsumed later,
% 0.49/0.66 ; 218 (92%) are still being kept.
% 0.49/0.66 ;
% 0.49/0.66 ; Run time in seconds excluding printing time:
% 0.49/0.66 ; 0.084 57% Read assertion file (1 call)
% 0.49/0.66 ; 0.009 6% Assert (390 calls)
% 0.49/0.66 ; 0.011 7% Process new row (362 calls)
% 0.49/0.66 ; 0.005 3% Condensing (195 calls)
% 0.49/0.66 ; 0.005 3% Forward subsumption (195 calls)
% 0.49/0.66 ; 0.001 1% Backward subsumption (163 calls)
% 0.49/0.66 ; 0.002 1% Clause clause subsumption (222 calls)
% 0.49/0.66 ; 0.009 6% Forward simplification (287 calls)
% 0.49/0.66 ; 0.002 1% Backward simplification (231 calls)
% 0.49/0.66 ; 0.000 0% Ordering (76 calls)
% 0.49/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.49/0.66 ; 0.001 1% Purity testing (1 call)
% 0.49/0.66 ; 0.019 13% Other
% 0.49/0.66 ; 0.148 Total
% 0.49/0.66 ; 0.150 Real time
% 0.49/0.66 ;
% 0.49/0.66 ; Term-hash-array has 450 terms in all.
% 0.49/0.66 ; Feature-vector-row-index has 158 entries (158 at peak, 163 added, 5 deleted).
% 0.49/0.66 ; Feature-vector-row-index has 585 nodes (585 at peak, 612 added, 27 deleted).
% 0.49/0.66 ; Retrieved 171 possibly forward subsuming rows in 195 calls.
% 0.49/0.66 ; Retrieved 91 possibly backward subsumed rows in 163 calls.
% 0.49/0.66 ; Path-index has 427 entries (427 at peak, 463 added, 36 deleted).
% 0.49/0.66 ; Path-index has 1,107 nodes (1,107 at peak, 1,154 added, 47 deleted).
% 0.49/0.66 ; Trie-index has 427 entries (427 at peak, 463 added, 36 deleted).
% 0.49/0.66 ; Trie-index has 1,373 nodes (1,373 at peak, 1,539 added, 166 deleted).
% 0.49/0.66 ; Retrieved 187 generalization terms in 954 calls.
% 0.49/0.66 ; Retrieved 165 instance terms in 77 calls.
% 0.49/0.66 ;
% 0.49/0.66 ; The agenda of input rows to process has 22 entries:
% 0.49/0.66 ; 22 with value 0
% 0.49/0.66 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.49/0.66 ; 8 with value 0
% 0.49/0.66 ; The agenda of input rows to give has 217 entries:
% 0.49/0.66 ; 2 with value 3 20 with value 13 6 with value 22
% 0.49/0.66 ; 1 with value 4 16 with value 14 2 with value 23
% 0.49/0.66 ; 2 with value 5 15 with value 15 9 with value 24
% 0.49/0.66 ; 2 with value 6 7 with value 16 3 with value 25
% 0.49/0.66 ; 4 with value 7 11 with value 17 15 with value 27
% 0.49/0.66 ; 9 with value 8 18 with value 18 1 with value 28
% 0.49/0.66 ; 4 with value 9 9 with value 19 1 with value 30
% 0.49/0.66 ; 7 with value 10 7 with value 20 1 with value 31
% 0.49/0.66 ; 13 with value 11 23 with value 21 1 with value 32
% 0.49/0.66 ; 8 with value 12
% 0.49/0.66 Evaluation took:
% 0.49/0.66 0.15 seconds of real time
% 0.49/0.66 0.140165 seconds of user run time
% 0.49/0.66 0.009486 seconds of system run time
% 0.49/0.66 0 calls to %EVAL
% 0.49/0.66 0 page faults and
% 0.49/0.66 8,438,128 bytes consed.
% 0.49/0.66 :PROOF-FOUND
% 0.49/0.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T00:06:38
% 0.49/0.66 :PROOF-FOUND
% 0.49/0.66 *
%------------------------------------------------------------------------------