TSTP Solution File: LCL855-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL855-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:26:43 EDT 2022
% Result : Unsatisfiable 0.39s 0.62s
% Output : Refutation 0.39s
% 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 : 8 ( 8 usr; 3 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/sandbox/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
cnf(cls_subst__lift_0,axiom,
c_Lambda_Osubst(c_Lambda_Olift(X,Y),Z,Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(231,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_subst__lift_0,201,cls_subst__App_0,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(233,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL855-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 07:04:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T07:04:41
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-03T07:04:41
% 0.39/0.58
% 0.39/0.58 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.39/0.62
% 0.39/0.62 #||
% 0.39/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.62 % SZS output start Refutation
% See solution above
% 0.39/0.63 ||#
% 0.39/0.63
% 0.39/0.63 ; Summary of computation:
% 0.39/0.63 ; 399 formulas have been input or derived (from 1 formulas).
% 0.39/0.63 ; 233 (58%) were retained. Of these,
% 0.39/0.63 ; 20 ( 9%) were simplified or subsumed later,
% 0.39/0.63 ; 213 (91%) are still being kept.
% 0.39/0.63 ;
% 0.39/0.63 ; Run time in seconds:
% 0.39/0.63 ; 0.082 54% Read assertion file (1 call)
% 0.39/0.63 ; 0.013 9% Assert (384 calls)
% 0.39/0.63 ; 0.014 9% Process new row (356 calls)
% 0.39/0.63 ; 0.002 1% Condensing (193 calls)
% 0.39/0.63 ; 0.004 3% Forward subsumption (193 calls)
% 0.39/0.63 ; 0.005 3% Backward subsumption (161 calls)
% 0.39/0.63 ; 0.000 0% Clause clause subsumption (220 calls)
% 0.39/0.63 ; 0.007 5% Forward simplification (281 calls)
% 0.39/0.63 ; 0.001 1% Backward simplification (226 calls)
% 0.39/0.63 ; 0.002 1% Ordering (74 calls)
% 0.39/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.63 ; 0.002 1% Purity testing (1 call)
% 0.39/0.63 ; 0.019 13% Other
% 0.39/0.63 ; 0.151 Total
% 0.39/0.63 ; 0.152 Real time
% 0.39/0.63 ;
% 0.39/0.63 ; Term-hash-array has 439 terms in all.
% 0.39/0.63 ; Feature-vector-row-index has 156 entries (156 at peak, 161 added, 5 deleted).
% 0.39/0.63 ; Feature-vector-row-index has 582 nodes (582 at peak, 609 added, 27 deleted).
% 0.39/0.63 ; Retrieved 171 possibly forward subsuming rows in 193 calls.
% 0.39/0.63 ; Retrieved 75 possibly backward subsumed rows in 161 calls.
% 0.39/0.63 ; Path-index has 410 entries (410 at peak, 446 added, 36 deleted).
% 0.39/0.63 ; Path-index has 1,067 nodes (1,067 at peak, 1,114 added, 47 deleted).
% 0.39/0.63 ; Trie-index has 410 entries (410 at peak, 446 added, 36 deleted).
% 0.39/0.63 ; Trie-index has 1,332 nodes (1,332 at peak, 1,498 added, 166 deleted).
% 0.39/0.63 ; Retrieved 183 generalization terms in 943 calls.
% 0.39/0.63 ; Retrieved 162 instance terms in 74 calls.
% 0.39/0.63 ;
% 0.39/0.63 ; The agenda of input rows to process has 22 entries:
% 0.39/0.63 ; 22 with value 0
% 0.39/0.63 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.39/0.63 ; 8 with value 0
% 0.39/0.63 ; The agenda of input rows to give has 212 entries:
% 0.39/0.63 ; 2 with value 3 20 with value 13 6 with value 22
% 0.39/0.63 ; 2 with value 5 16 with value 14 2 with value 23
% 0.39/0.63 ; 3 with value 6 13 with value 15 9 with value 24
% 0.39/0.63 ; 4 with value 7 7 with value 16 3 with value 25
% 0.39/0.63 ; 7 with value 8 11 with value 17 15 with value 27
% 0.39/0.63 ; 4 with value 9 18 with value 18 1 with value 28
% 0.39/0.63 ; 6 with value 10 9 with value 19 1 with value 30
% 0.39/0.63 ; 13 with value 11 7 with value 20 1 with value 31
% 0.39/0.63 ; 8 with value 12 23 with value 21 1 with value 32
% 0.39/0.63 Evaluation took:
% 0.39/0.63 0.152 seconds of real time
% 0.39/0.63 0.141986 seconds of user run time
% 0.39/0.63 0.010069 seconds of system run time
% 0.39/0.63 0 calls to %EVAL
% 0.39/0.63 0 page faults and
% 0.39/0.63 8,279,232 bytes consed.
% 0.39/0.63 :PROOF-FOUND
% 0.39/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T07:04:41
% 0.39/0.63 :PROOF-FOUND
% 0.39/0.63 *
%------------------------------------------------------------------------------