TSTP Solution File: SWV824-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV824-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Wed Jul 20 21:36:09 EDT 2022
% Result : Unsatisfiable 0.68s 0.84s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_evaln__Suc_0,axiom,
( c_Natural_Oevaln(X,Y,c_Suc(Z),U)
| ~ c_Natural_Oevaln(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( v_fun2(X,Y)
| ~ c_Natural_Oevaln(v_com,Z,c_Suc(v_n),Y)
| ~ v_fun1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(682,plain,
c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),v_xb),
inference('HYPERRESOLVE',[status(thm)],[cls_evaln__Suc_0,cls_conjecture_1]) ).
cnf(783,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_conjecture_3,cls_conjecture_2,cls_conjecture_0]),682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV824-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Wed Jun 15 04:22:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-15T04:22:35
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-15T04:22:35
% 0.41/0.62
% 0.41/0.62 ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.47/0.63 ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.47/0.63 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.84 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.68/0.84
% 0.68/0.84 #||
% 0.68/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.84 % SZS output start Refutation
% See solution above
% 0.68/0.84 ||#
% 0.68/0.84
% 0.68/0.84 ; Summary of computation:
% 0.68/0.84 ; 2561 formulas have been input or derived (from 184 formulas).
% 0.68/0.84 ; 783 (31%) were retained. Of these,
% 0.68/0.84 ; 37 ( 5%) were simplified or subsumed later,
% 0.68/0.84 ; 746 (95%) are still being kept.
% 0.68/0.84 ;
% 0.68/0.84 ; Run time in seconds:
% 0.68/0.84 ; 0.135 36% Read assertion file (1 call)
% 0.68/0.84 ; 0.013 4% Assert (701 calls)
% 0.68/0.84 ; 0.054 15% Process new row (2,197 calls)
% 0.68/0.84 ; 0.028 8% Resolution (366 calls)
% 0.68/0.84 ; 0.006 2% Paramodulation (183 calls)
% 0.68/0.84 ; 0.000 0% Factoring (5 calls)
% 0.68/0.84 ; 0.009 2% Condensing (808 calls)
% 0.68/0.84 ; 0.025 7% Forward subsumption (808 calls)
% 0.68/0.84 ; 0.011 3% Backward subsumption (479 calls)
% 0.68/0.84 ; 0.011 3% Clause clause subsumption (1,325 calls)
% 0.68/0.84 ; 0.032 9% Forward simplification (2,078 calls)
% 0.68/0.84 ; 0.006 2% Backward simplification (773 calls)
% 0.68/0.84 ; 0.014 4% Ordering (1,593 calls)
% 0.68/0.84 ; 0.000 0% Sortal reasoning (32 calls)
% 0.68/0.84 ; 0.002 1% Purity testing (1 call)
% 0.68/0.84 ; 0.025 7% Other
% 0.68/0.84 ; 0.371 Total
% 0.68/0.84 ; 0.372 Real time
% 0.68/0.84 ;
% 0.68/0.84 ; Term-hash-array has 1,246 terms in all.
% 0.68/0.84 ; Feature-vector-row-index has 461 entries (461 at peak, 479 added, 18 deleted).
% 0.68/0.84 ; Feature-vector-row-index has 1,519 nodes (1,519 at peak, 1,661 added, 142 deleted).
% 0.68/0.84 ; Retrieved 1,334 possibly forward subsuming rows in 808 calls.
% 0.68/0.84 ; Retrieved 425 possibly backward subsumed rows in 479 calls.
% 0.68/0.84 ; Path-index has 1,193 entries (1,193 at peak, 1,270 added, 77 deleted).
% 0.68/0.84 ; Path-index has 3,307 nodes (3,307 at peak, 3,395 added, 88 deleted).
% 0.68/0.84 ; Trie-index has 1,193 entries (1,193 at peak, 1,270 added, 77 deleted).
% 0.68/0.84 ; Trie-index has 4,259 nodes (4,259 at peak, 4,608 added, 349 deleted).
% 0.68/0.84 ; Retrieved 4,195 generalization terms in 5,611 calls.
% 0.68/0.84 ; Retrieved 620 instance terms in 304 calls.
% 0.68/0.84 ; Retrieved 35,085 unifiable terms in 1,410 calls.
% 0.68/0.84 ;
% 0.68/0.84 ; The agenda of input rows to give has 267 entries:
% 0.68/0.84 ; 40 with value 17 15 with value 25 3 with value 32
% 0.68/0.84 ; 34 with value 18 2 with value 26 1 with value 35
% 0.68/0.84 ; 9 with value 19 39 with value 27 1 with value 36
% 0.68/0.84 ; 14 with value 20 4 with value 28 6 with value 39
% 0.68/0.84 ; 31 with value 21 1 with value 29 1 with value 42
% 0.68/0.84 ; 19 with value 22 2 with value 30 4 with value 43
% 0.68/0.84 ; 8 with value 23 1 with value 31 8 with value 44
% 0.68/0.84 ; 24 with value 24
% 0.68/0.84 ; The agenda of rows to give has 295 entries:
% 0.68/0.84 ; 1 with value (4 6) 28 with value (4 17) 1 with value (4 27)
% 0.68/0.84 ; 6 with value (4 8) 18 with value (4 18) 4 with value (4 28)
% 0.68/0.84 ; 11 with value (4 9) 16 with value (4 19) 1 with value (4 29)
% 0.68/0.84 ; 17 with value (4 10) 9 with value (4 20) 4 with value (4 30)
% 0.68/0.84 ; 19 with value (4 11) 1 with value (4 21) 1 with value (4 34)
% 0.68/0.84 ; 20 with value (4 12) 2 with value (4 22) 1 with value (4 40)
% 0.68/0.84 ; 32 with value (4 13) 4 with value (4 23) 3 with value (4 46)
% 0.68/0.84 ; 34 with value (4 14) 6 with value (4 24) 1 with value (4 47)
% 0.68/0.84 ; 22 with value (4 15) 1 with value (4 26) 2 with value (4 80)
% 0.68/0.84 ; 30 with value (4 16)
% 0.68/0.84 Evaluation took:
% 0.68/0.84 0.372 seconds of real time
% 0.68/0.84 0.348308 seconds of user run time
% 0.68/0.84 0.024244 seconds of system run time
% 0.68/0.84 [Run times include 0.006 seconds GC run time.]
% 0.68/0.84 0 calls to %EVAL
% 0.68/0.84 0 page faults and
% 0.68/0.84 23,235,944 bytes consed.
% 0.68/0.84 :PROOF-FOUND
% 0.68/0.84 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T04:22:35
% 0.68/0.84 :PROOF-FOUND
% 0.68/0.84 *
%------------------------------------------------------------------------------