TSTP Solution File: SWW271+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW271+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 01:24:48 EDT 2022
% Result : Theorem 26.06s 26.23s
% Output : Refutation 26.06s
% 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(3,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_qa____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096) ).
cnf(4,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(1054,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(1354,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1371,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
cnf(1407,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(1437,hypothesis,
( v_qa____ != 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(1438,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
cnf(1439,plain,
v_qa____ != 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)],[1437,1438]) ).
cnf(1507,plain,
class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1407,1371]) ).
cnf(2792,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)],[4,1354]) ).
cnf(2793,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_qa____)),
inference('REWRITE',[status(thm)],[3,2792,theory(equality)]) ).
cnf(2796,plain,
v_qa____ != 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)],[1439,2792,theory(equality)]) ).
cnf(10517,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1054,2793,2796]),1507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW271+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 : Mon Jun 6 09:10:24 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 2022-06-06T09:10:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-06T09:10:24
% 0.56/0.73
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.56/0.75 WARNING:
% 0.56/0.75 |c_Orderings_Oorder_Omono| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.75 WARNING:
% 0.56/0.75 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.75 WARNING:
% 0.56/0.75 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 26.06/26.23 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 26.06/26.23
% 26.06/26.23 #||
% 26.06/26.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.06/26.23 % SZS output start Refutation
% See solution above
% 26.06/26.23 ||#
% 26.06/26.23
% 26.06/26.23 ; Summary of computation:
% 26.06/26.23 ; 232993 formulas have been input or derived (from 991 formulas).
% 26.06/26.23 ; 10517 ( 5%) were retained. Of these,
% 26.06/26.23 ; 593 ( 6%) were simplified or subsumed later,
% 26.06/26.23 ; 9924 (94%) are still being kept.
% 26.06/26.23 ;
% 26.06/26.23 ; Run time in seconds excluding printing time:
% 26.06/26.23 ; 0.230 1% Read assertion file (1 call)
% 26.06/26.23 ; 0.034 0% Assert (1,209 calls)
% 26.06/26.23 ; 1.675 7% Process new row (221,963 calls)
% 26.06/26.23 ; 5.687 22% Resolution (1,980 calls)
% 26.06/26.23 ; 0.113 0% Paramodulation (990 calls)
% 26.06/26.23 ; 0.000 0% Factoring (17 calls)
% 26.06/26.23 ; 0.312 1% Condensing (23,699 calls)
% 26.06/26.23 ; 3.020 12% Forward subsumption (23,699 calls)
% 26.06/26.23 ; 0.497 2% Backward subsumption (6,129 calls)
% 26.06/26.23 ; 0.387 2% Clause clause subsumption (90,977 calls)
% 26.06/26.23 ; 9.496 37% Forward simplification (215,448 calls)
% 26.06/26.23 ; 0.292 1% Backward simplification (10,488 calls)
% 26.06/26.23 ; 3.318 13% Ordering (816,601 calls)
% 26.06/26.23 ; 0.000 0% Sortal reasoning (32 calls)
% 26.06/26.23 ; 0.004 0% Purity testing (1 call)
% 26.06/26.23 ; 0.687 3% Other
% 26.06/26.23 ; 25.752 Total
% 26.06/26.23 ; 25.755 Real time
% 26.06/26.23 ;
% 26.06/26.23 ; Term-hash-array has 22,521 terms in all.
% 26.06/26.23 ; Feature-vector-row-index has 5,739 entries (5,739 at peak, 6,129 added, 390 deleted).
% 26.06/26.23 ; Feature-vector-row-index has 35,983 nodes (35,983 at peak, 39,006 added, 3,023 deleted).
% 26.06/26.23 ; Retrieved 145,532 possibly forward subsuming rows in 23,699 calls.
% 26.06/26.23 ; Retrieved 7,619 possibly backward subsumed rows in 6,129 calls.
% 26.06/26.23 ; Path-index has 21,364 entries (21,364 at peak, 23,028 added, 1,664 deleted).
% 26.06/26.23 ; Path-index has 44,324 nodes (44,324 at peak, 47,692 added, 3,368 deleted).
% 26.06/26.23 ; Trie-index has 21,364 entries (21,364 at peak, 23,028 added, 1,664 deleted).
% 26.06/26.23 ; Trie-index has 133,195 nodes (133,427 at peak, 155,184 added, 21,989 deleted).
% 26.06/26.23 ; Retrieved 1,592,574 generalization terms in 2,005,684 calls.
% 26.06/26.23 ; Retrieved 13,066 instance terms in 6,945 calls.
% 26.06/26.23 ; Retrieved 8,183,533 unifiable terms in 54,779 calls.
% 26.06/26.23 ;
% 26.06/26.23 ; The agenda of rows to process has 6 entries:
% 26.06/26.23 ; 1 with value 16 4 with value 18 1 with value 54
% 26.06/26.23 ; The agenda of input rows to give has 402 entries:
% 26.06/26.23 ; 5 with value 29 10 with value 41 8 with value 53
% 26.06/26.23 ; 24 with value 30 3 with value 42 4 with value 56
% 26.06/26.23 ; 53 with value 31 7 with value 43 3 with value 57
% 26.06/26.23 ; 38 with value 32 2 with value 44 3 with value 58
% 26.06/26.23 ; 50 with value 33 14 with value 45 1 with value 62
% 26.06/26.23 ; 11 with value 34 4 with value 46 2 with value 65
% 26.06/26.23 ; 21 with value 35 7 with value 47 1 with value 66
% 26.06/26.23 ; 14 with value 36 14 with value 48 1 with value 68
% 26.06/26.23 ; 13 with value 37 1 with value 49 6 with value 75
% 26.06/26.23 ; 16 with value 38 13 with value 50 2 with value 77
% 26.06/26.23 ; 10 with value 39 12 with value 51 3 with value 80
% 26.06/26.23 ; 21 with value 40 2 with value 52 3 with value 83
% 26.06/26.23 ; The agenda of rows to give has 8539 entries:
% 26.06/26.23 ; 3 with value (4 4) 193 with value (4 43) 12 with value (4 81)
% 26.06/26.23 ; 113 with value (4 6) 110 with value (4 44) 34 with value (4 82)
% 26.06/26.23 ; 18 with value (4 7) 104 with value (4 45) 10 with value (4 83)
% 26.06/26.23 ; 13 with value (4 8) 65 with value (4 46) 1 with value (4 87)
% 26.06/26.23 ; 26 with value (4 9) 222 with value (4 47) 3 with value (4 88)
% 26.06/26.23 ; 28 with value (4 10) 92 with value (4 48) 2 with value (4 89)
% 26.06/26.23 ; 35 with value (4 11) 140 with value (4 49) 1 with value (4 90)
% 26.06/26.23 ; 94 with value (4 12) 52 with value (4 50) 10 with value (4 93)
% 26.06/26.23 ; 108 with value (4 13) 62 with value (4 51) 3 with value (4 94)
% 26.06/26.23 ; 147 with value (4 14) 48 with value (4 52) 13 with value (4 96)
% 26.06/26.23 ; 154 with value (4 15) 23 with value (4 53) 8 with value (4 97)
% 26.06/26.23 ; 148 with value (4 16) 88 with value (4 54) 7 with value (4 98)
% 26.06/26.23 ; 200 with value (4 17) 52 with value (4 55) 1 with value (4 100)
% 26.06/26.23 ; 189 with value (4 18) 29 with value (4 56) 2 with value (4 101)
% 26.06/26.23 ; 198 with value (4 19) 123 with value (4 57) 4 with value (4 102)
% 26.06/26.23 ; 259 with value (4 20) 71 with value (4 58) 4 with value (4 104)
% 26.06/26.23 ; 173 with value (4 21) 41 with value (4 59) 6 with value (4 106)
% 26.06/26.23 ; 259 with value (4 22) 17 with value (4 60) 4 with value (4 108)
% 26.06/26.23 ; 215 with value (4 23) 33 with value (4 61) 5 with value (4 109)
% 26.06/26.23 ; 304 with value (4 24) 35 with value (4 62) 4 with value (4 111)
% 26.06/26.23 ; 225 with value (4 25) 13 with value (4 63) 8 with value (4 112)
% 26.06/26.23 ; 335 with value (4 26) 18 with value (4 64) 2 with value (4 113)
% 26.06/26.23 ; 185 with value (4 27) 14 with value (4 65) 1 with value (4 114)
% 26.06/26.23 ; 221 with value (4 28) 16 with value (4 66) 2 with value (4 123)
% 26.06/26.23 ; 218 with value (4 29) 2 with value (4 67) 2 with value (4 124)
% 26.06/26.23 ; 214 with value (4 30) 42 with value (4 68) 1 with value (4 133)
% 26.06/26.23 ; 217 with value (4 31) 5 with value (4 69) 6 with value (4 138)
% 26.06/26.23 ; 189 with value (4 32) 25 with value (4 70) 6 with value (4 140)
% 26.06/26.23 ; 146 with value (4 33) 5 with value (4 71) 1 with value (4 142)
% 26.06/26.23 ; 212 with value (4 34) 8 with value (4 72) 4 with value (4 146)
% 26.06/26.23 ; 233 with value (4 35) 4 with value (4 73) 3 with value (4 147)
% 26.06/26.23 ; 330 with value (4 36) 4 with value (4 74) 2 with value (4 151)
% 26.06/26.23 ; 231 with value (4 37) 2 with value (4 75) 2 with value (4 152)
% 26.06/26.23 ; 188 with value (4 38) 10 with value (4 76) 2 with value (4 156)
% 26.06/26.23 ; 197 with value (4 39) 13 with value (4 77) 2 with value (4 192)
% 26.06/26.23 ; 204 with value (4 40) 12 with value (4 78) 2 with value (4 196)
% 26.06/26.23 ; 147 with value (4 41) 8 with value (4 79) 2 with value (4 197)
% 26.06/26.23 ; 165 with value (4 42) 13 with value (4 80) 2 with value (4 201)
% 26.06/26.23 Evaluation took:
% 26.06/26.23 25.76 seconds of real time
% 26.06/26.23 23.69455 seconds of user run time
% 26.06/26.23 2.06465 seconds of system run time
% 26.06/26.23 [Run times include 3.431 seconds GC run time.]
% 26.06/26.23 0 calls to %EVAL
% 26.06/26.23 0 page faults and
% 26.06/26.23 1,875,024,768 bytes consed.
% 26.06/26.23 :PROOF-FOUND
% 26.06/26.23 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T09:10:50
% 26.06/26.23 :PROOF-FOUND
% 26.06/26.23 *
%------------------------------------------------------------------------------