TSTP Solution File: SWW277+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW277+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Thu Jul 21 01:24:49 EDT 2022
% Result : Theorem 33.41s 33.62s
% Output : Refutation 33.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 19 ( 6 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096) ).
cnf(7,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X)) = c_Polynomial_OpCons(X,c_Groups_Oone__class_Oone(X),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__poly__def) ).
cnf(1052,axiom,
( ~ class_Divides_Osemiring__div(X)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X),Y),Z))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),c_Divides_Odiv__class_Odiv(X,Z,Y)) = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).
cnf(1356,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1373,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
cnf(1409,axiom,
( ~ class_Fields_Ofield(X)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
cnf(1439,hypothesis,
( v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1440,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
cnf(1441,plain,
v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X),
inference('REWRITE',[status(thm)],[1439,1440]) ).
cnf(1505,plain,
class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1409,1373]) ).
cnf(2851,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference('HYPERRESOLVE',[status(thm)],[7,1356]) ).
cnf(2852,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),v_s____)),
inference('REWRITE',[status(thm)],[5,2851,theory(equality)]) ).
cnf(2860,plain,
v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X),
inference('REWRITE',[status(thm)],[1441,2851,theory(equality)]) ).
cnf(10858,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1052,2852,2860]),1505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW277+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 : Sat Jun 4 16:47:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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 2022-06-04T16:47:35
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-04T16:47:35
% 0.62/0.82
% 0.62/0.84 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.69/0.87 WARNING:
% 0.69/0.87 |c_Orderings_Oorder_Omono| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.87 WARNING:
% 0.69/0.87 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.87 WARNING:
% 0.69/0.87 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 33.41/33.62 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 33.41/33.62
% 33.41/33.62 #||
% 33.41/33.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.41/33.62 % SZS output start Refutation
% See solution above
% 33.41/33.62 ||#
% 33.41/33.62
% 33.41/33.62 ; Summary of computation:
% 33.41/33.62 ; 232606 formulas have been input or derived (from 992 formulas).
% 33.41/33.62 ; 10858 ( 5%) were retained. Of these,
% 33.41/33.62 ; 612 ( 6%) were simplified or subsumed later,
% 33.41/33.62 ; 10246 (94%) are still being kept.
% 33.41/33.62 ;
% 33.41/33.62 ; Run time in seconds excluding printing time:
% 33.41/33.62 ; 0.332 1% Read assertion file (1 call)
% 33.41/33.62 ; 0.055 0% Assert (1,209 calls)
% 33.41/33.62 ; 2.348 7% Process new row (222,114 calls)
% 33.41/33.62 ; 8.804 27% Resolution (1,982 calls)
% 33.41/33.62 ; 0.112 0% Paramodulation (991 calls)
% 33.41/33.62 ; 0.001 0% Factoring (18 calls)
% 33.41/33.62 ; 0.373 1% Condensing (24,146 calls)
% 33.41/33.62 ; 3.547 11% Forward subsumption (24,146 calls)
% 33.41/33.62 ; 0.683 2% Backward subsumption (6,247 calls)
% 33.41/33.62 ; 0.623 2% Clause clause subsumption (96,460 calls)
% 33.41/33.62 ; 11.425 34% Forward simplification (215,520 calls)
% 33.41/33.62 ; 0.272 1% Backward simplification (10,824 calls)
% 33.41/33.62 ; 3.546 11% Ordering (806,426 calls)
% 33.41/33.62 ; 0.000 0% Sortal reasoning (32 calls)
% 33.41/33.62 ; 0.007 0% Purity testing (1 call)
% 33.41/33.62 ; 1.001 3% Other
% 33.41/33.62 ; 33.129 Total
% 33.41/33.62 ; 33.159 Real time
% 33.41/33.62 ;
% 33.41/33.63 ; Term-hash-array has 22,947 terms in all.
% 33.41/33.63 ; Feature-vector-row-index has 5,852 entries (5,852 at peak, 6,247 added, 395 deleted).
% 33.41/33.63 ; Feature-vector-row-index has 32,761 nodes (32,761 at peak, 35,601 added, 2,840 deleted).
% 33.41/33.63 ; Retrieved 226,955 possibly forward subsuming rows in 24,146 calls.
% 33.41/33.63 ; Retrieved 12,893 possibly backward subsumed rows in 6,247 calls.
% 33.41/33.63 ; Path-index has 21,787 entries (21,787 at peak, 23,443 added, 1,656 deleted).
% 33.41/33.63 ; Path-index has 43,986 nodes (43,993 at peak, 47,294 added, 3,308 deleted).
% 33.41/33.63 ; Trie-index has 21,787 entries (21,787 at peak, 23,443 added, 1,656 deleted).
% 33.41/33.63 ; Trie-index has 134,697 nodes (134,789 at peak, 156,581 added, 21,884 deleted).
% 33.41/33.63 ; Retrieved 1,596,419 generalization terms in 1,996,228 calls.
% 33.41/33.63 ; Retrieved 13,043 instance terms in 7,164 calls.
% 33.41/33.63 ; Retrieved 8,122,653 unifiable terms in 54,608 calls.
% 33.41/33.63 ;
% 33.41/33.63 ; The agenda of rows to process has 6 entries:
% 33.41/33.63 ; 1 with value 16 4 with value 18 1 with value 54
% 33.41/33.63 ; The agenda of input rows to give has 400 entries:
% 33.41/33.63 ; 5 with value 29 9 with value 41 8 with value 53
% 33.41/33.63 ; 24 with value 30 3 with value 42 4 with value 56
% 33.41/33.63 ; 53 with value 31 7 with value 43 3 with value 57
% 33.41/33.63 ; 36 with value 32 2 with value 44 3 with value 58
% 33.41/33.63 ; 52 with value 33 13 with value 45 1 with value 62
% 33.41/33.63 ; 11 with value 34 4 with value 46 2 with value 65
% 33.41/33.63 ; 21 with value 35 7 with value 47 1 with value 66
% 33.41/33.63 ; 14 with value 36 14 with value 48 1 with value 68
% 33.41/33.63 ; 13 with value 37 1 with value 49 6 with value 75
% 33.41/33.63 ; 16 with value 38 13 with value 50 2 with value 77
% 33.41/33.63 ; 10 with value 39 12 with value 51 3 with value 80
% 33.41/33.63 ; 21 with value 40 2 with value 52 3 with value 83
% 33.41/33.63 ; The agenda of rows to give has 8862 entries:
% 33.41/33.63 ; 3 with value (4 4) 190 with value (4 43) 12 with value (4 81)
% 33.41/33.63 ; 1 with value (4 5) 113 with value (4 44) 34 with value (4 82)
% 33.41/33.63 ; 113 with value (4 6) 105 with value (4 45) 10 with value (4 83)
% 33.41/33.63 ; 18 with value (4 7) 82 with value (4 46) 1 with value (4 87)
% 33.41/33.63 ; 15 with value (4 8) 226 with value (4 47) 3 with value (4 88)
% 33.41/33.63 ; 34 with value (4 9) 96 with value (4 48) 2 with value (4 89)
% 33.41/33.63 ; 35 with value (4 10) 142 with value (4 49) 1 with value (4 90)
% 33.41/33.63 ; 41 with value (4 11) 53 with value (4 50) 10 with value (4 93)
% 33.41/33.63 ; 113 with value (4 12) 62 with value (4 51) 3 with value (4 94)
% 33.41/33.63 ; 120 with value (4 13) 50 with value (4 52) 13 with value (4 96)
% 33.41/33.63 ; 183 with value (4 14) 23 with value (4 53) 8 with value (4 97)
% 33.41/33.63 ; 162 with value (4 15) 89 with value (4 54) 7 with value (4 98)
% 33.41/33.63 ; 175 with value (4 16) 52 with value (4 55) 1 with value (4 100)
% 33.41/33.63 ; 205 with value (4 17) 30 with value (4 56) 2 with value (4 101)
% 33.41/33.63 ; 200 with value (4 18) 123 with value (4 57) 4 with value (4 102)
% 33.41/33.63 ; 211 with value (4 19) 71 with value (4 58) 4 with value (4 104)
% 33.41/33.63 ; 281 with value (4 20) 39 with value (4 59) 6 with value (4 106)
% 33.41/33.63 ; 186 with value (4 21) 16 with value (4 60) 4 with value (4 108)
% 33.41/33.63 ; 264 with value (4 22) 32 with value (4 61) 5 with value (4 109)
% 33.41/33.63 ; 228 with value (4 23) 35 with value (4 62) 4 with value (4 111)
% 33.41/33.63 ; 310 with value (4 24) 15 with value (4 63) 8 with value (4 112)
% 33.41/33.63 ; 231 with value (4 25) 18 with value (4 64) 2 with value (4 113)
% 33.41/33.63 ; 339 with value (4 26) 17 with value (4 65) 1 with value (4 114)
% 33.41/33.63 ; 187 with value (4 27) 19 with value (4 66) 2 with value (4 123)
% 33.41/33.63 ; 225 with value (4 28) 2 with value (4 67) 2 with value (4 124)
% 33.41/33.63 ; 223 with value (4 29) 42 with value (4 68) 1 with value (4 133)
% 33.41/33.63 ; 216 with value (4 30) 5 with value (4 69) 6 with value (4 138)
% 33.41/33.63 ; 228 with value (4 31) 29 with value (4 70) 6 with value (4 140)
% 33.41/33.63 ; 194 with value (4 32) 5 with value (4 71) 1 with value (4 142)
% 33.41/33.63 ; 149 with value (4 33) 8 with value (4 72) 4 with value (4 146)
% 33.41/33.63 ; 206 with value (4 34) 4 with value (4 73) 3 with value (4 147)
% 33.41/33.63 ; 246 with value (4 35) 4 with value (4 74) 2 with value (4 151)
% 33.41/33.63 ; 334 with value (4 36) 2 with value (4 75) 2 with value (4 152)
% 33.41/33.63 ; 228 with value (4 37) 10 with value (4 76) 2 with value (4 156)
% 33.41/33.63 ; 201 with value (4 38) 13 with value (4 77) 2 with value (4 192)
% 33.41/33.63 ; 200 with value (4 39) 12 with value (4 78) 2 with value (4 196)
% 33.41/33.63 ; 200 with value (4 40) 8 with value (4 79) 2 with value (4 197)
% 33.41/33.63 ; 151 with value (4 41) 13 with value (4 80) 2 with value (4 201)
% 33.41/33.63 ; 167 with value (4 42)
% 33.41/33.63 Evaluation took:
% 33.41/33.63 33.163 seconds of real time
% 33.41/33.63 30.690105 seconds of user run time
% 33.41/33.63 2.445037 seconds of system run time
% 33.41/33.63 [Run times include 3.907 seconds GC run time.]
% 33.41/33.63 0 calls to %EVAL
% 33.41/33.63 0 page faults and
% 33.41/33.63 1,939,249,296 bytes consed.
% 33.41/33.63 :PROOF-FOUND
% 33.41/33.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T16:48:08
% 33.41/33.63 :PROOF-FOUND
% 33.41/33.63 *
%------------------------------------------------------------------------------