TSTP Solution File: SWW213+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW213+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 01:24:42 EDT 2022
% Result : Theorem 26.24s 26.43s
% Output : Refutation 26.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 10 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| hAPP(c_Polynomial_Opoly(X,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X,Y,Z)),U) = hAPP(c_Polynomial_Opoly(X,Y),c_Groups_Oplus__class_Oplus(X,Z,U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__offset__poly) ).
cnf(16,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| c_Polynomial_Odegree(X,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X,Y,Z)) = c_Polynomial_Odegree(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__offset__poly) ).
cnf(1347,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
cnf(1427,hypothesis,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X),'SKOLEMAAAV24'(X)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,'SKOLEMAAAV24'(X)))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1428,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
cnf(1429,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X),'SKOLEMAAAV24'(X)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,'SKOLEMAAAV24'(X))) ),
inference('REWRITE',[status(thm)],[1427,1428]) ).
cnf(1990,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X,Y)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,X),
inference('HYPERRESOLVE',[status(thm)],[16,1347]) ).
cnf(5287,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X,Y)),Z) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,Y,Z)),
inference('HYPERRESOLVE',[status(thm)],[3,1347]) ).
cnf(5288,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X),'SKOLEMAAAV24'(X)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)),'SKOLEMAAAV24'(X)) ),
inference('REWRITE',[status(thm)],[1429,5287,theory(equality)]) ).
cnf(7986,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5288,theory(equality)]),1990,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW213+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 6 02:01:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T02:01:19
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-06T02:01:19
% 0.57/0.74
% 0.57/0.75 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.57/0.76 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.57/0.76 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 0.57/0.77 WARNING:
% 0.57/0.77 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.77 WARNING:
% 0.57/0.77 |c_Groups_Osemigroup| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.77 WARNING:
% 0.57/0.77 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 26.24/26.43 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 26.24/26.43
% 26.24/26.43 #||
% 26.24/26.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.24/26.43 % SZS output start Refutation
% See solution above
% 26.24/26.43 ||#
% 26.24/26.43
% 26.24/26.43 ; Summary of computation:
% 26.24/26.43 ; 272851 formulas have been input or derived (from 1131 formulas).
% 26.24/26.43 ; 7986 ( 3%) were retained. Of these,
% 26.24/26.43 ; 229 ( 3%) were simplified or subsumed later,
% 26.24/26.43 ; 7757 (97%) are still being kept.
% 26.24/26.43 ;
% 26.24/26.43 ; Run time in seconds excluding printing time:
% 26.24/26.43 ; 0.224 1% Read assertion file (1 call)
% 26.24/26.43 ; 0.031 0% Assert (1,264 calls)
% 26.24/26.43 ; 1.276 5% Process new row (261,955 calls)
% 26.24/26.43 ; 4.528 17% Resolution (2,260 calls)
% 26.24/26.43 ; 0.061 0% Paramodulation (1,130 calls)
% 26.24/26.43 ; 0.000 0% Factoring (12 calls)
% 26.24/26.43 ; 0.219 1% Condensing (15,973 calls)
% 26.24/26.43 ; 1.118 4% Forward subsumption (15,973 calls)
% 26.24/26.43 ; 0.196 1% Backward subsumption (3,480 calls)
% 26.24/26.43 ; 0.246 1% Clause clause subsumption (30,532 calls)
% 26.24/26.43 ; 12.435 48% Forward simplification (261,946 calls)
% 26.24/26.43 ; 0.152 1% Backward simplification (7,963 calls)
% 26.24/26.43 ; 4.632 18% Ordering (1,197,786 calls)
% 26.24/26.43 ; 0.000 0% Sortal reasoning (32 calls)
% 26.24/26.43 ; 0.003 0% Purity testing (1 call)
% 26.24/26.43 ; 0.804 3% Other
% 26.24/26.43 ; 25.925 Total
% 26.24/26.43 ; 25.931 Real time
% 26.24/26.43 ;
% 26.24/26.44 ; Term-hash-array has 19,975 terms in all.
% 26.24/26.44 ; Feature-vector-row-index has 3,399 entries (3,399 at peak, 3,480 added, 81 deleted).
% 26.24/26.44 ; Feature-vector-row-index has 21,591 nodes (21,591 at peak, 22,226 added, 635 deleted).
% 26.24/26.44 ; Retrieved 45,357 possibly forward subsuming rows in 15,973 calls.
% 26.24/26.44 ; Retrieved 2,777 possibly backward subsumed rows in 3,480 calls.
% 26.24/26.44 ; Path-index has 19,624 entries (19,624 at peak, 20,037 added, 413 deleted).
% 26.24/26.44 ; Path-index has 21,531 nodes (21,531 at peak, 21,793 added, 262 deleted).
% 26.24/26.44 ; Trie-index has 19,624 entries (19,624 at peak, 20,037 added, 413 deleted).
% 26.24/26.44 ; Trie-index has 119,676 nodes (119,676 at peak, 121,418 added, 1,742 deleted).
% 26.24/26.44 ; Retrieved 2,048,301 generalization terms in 3,272,312 calls.
% 26.24/26.44 ; Retrieved 11,951 instance terms in 7,445 calls.
% 26.24/26.44 ; Retrieved 6,324,982 unifiable terms in 53,977 calls.
% 26.24/26.44 ;
% 26.24/26.44 ; The agenda of rows to process has 2 entries:
% 26.24/26.44 ; 1 with value 21 1 with value 41
% 26.24/26.44 ; The agenda of input rows to give has 250 entries:
% 26.24/26.44 ; 29 with value 30 9 with value 39 2 with value 48
% 26.24/26.44 ; 47 with value 31 6 with value 40 1 with value 51
% 26.24/26.44 ; 24 with value 32 4 with value 41 2 with value 54
% 26.24/26.44 ; 43 with value 33 1 with value 42 6 with value 57
% 26.24/26.44 ; 6 with value 34 2 with value 43 2 with value 58
% 26.24/26.44 ; 15 with value 35 1 with value 44 3 with value 62
% 26.24/26.44 ; 8 with value 36 12 with value 45 3 with value 65
% 26.24/26.44 ; 8 with value 37 1 with value 46 2 with value 71
% 26.24/26.44 ; 6 with value 38 7 with value 47
% 26.24/26.44 ; The agenda of rows to give has 6376 entries:
% 26.24/26.44 ; 1 with value (4 4) 155 with value (4 27) 137 with value (4 48)
% 26.24/26.44 ; 171 with value (4 6) 180 with value (4 28) 63 with value (4 49)
% 26.24/26.44 ; 19 with value (4 7) 180 with value (4 29) 56 with value (4 50)
% 26.24/26.44 ; 13 with value (4 8) 122 with value (4 30) 37 with value (4 51)
% 26.24/26.44 ; 26 with value (4 9) 140 with value (4 31) 55 with value (4 52)
% 26.24/26.44 ; 20 with value (4 10) 97 with value (4 32) 54 with value (4 53)
% 26.24/26.44 ; 52 with value (4 11) 77 with value (4 33) 12 with value (4 54)
% 26.24/26.44 ; 56 with value (4 12) 77 with value (4 34) 10 with value (4 55)
% 26.24/26.44 ; 146 with value (4 13) 189 with value (4 35) 56 with value (4 56)
% 26.24/26.44 ; 105 with value (4 14) 98 with value (4 36) 48 with value (4 57)
% 26.24/26.44 ; 187 with value (4 15) 151 with value (4 37) 113 with value (4 58)
% 26.24/26.44 ; 124 with value (4 16) 53 with value (4 38) 153 with value (4 59)
% 26.24/26.44 ; 193 with value (4 17) 119 with value (4 39) 66 with value (4 60)
% 26.24/26.44 ; 149 with value (4 18) 125 with value (4 40) 38 with value (4 61)
% 26.24/26.44 ; 212 with value (4 19) 126 with value (4 41) 12 with value (4 62)
% 26.24/26.44 ; 197 with value (4 20) 108 with value (4 42) 4 with value (4 63)
% 26.24/26.44 ; 144 with value (4 21) 52 with value (4 43) 4 with value (4 64)
% 26.24/26.44 ; 202 with value (4 22) 43 with value (4 44) 130 with value (4 67)
% 26.24/26.44 ; 229 with value (4 23) 79 with value (4 45) 6 with value (4 68)
% 26.24/26.44 ; 228 with value (4 24) 89 with value (4 46) 6 with value (4 71)
% 26.24/26.44 ; 230 with value (4 25) 82 with value (4 47) 4 with value (4 74)
% 26.24/26.44 ; 266 with value (4 26)
% 26.24/26.44 Evaluation took:
% 26.24/26.44 25.934 seconds of real time
% 26.24/26.44 23.541214 seconds of user run time
% 26.24/26.44 2.388795 seconds of system run time
% 26.24/26.44 [Run times include 2.433 seconds GC run time.]
% 26.24/26.44 0 calls to %EVAL
% 26.24/26.44 0 page faults and
% 26.24/26.44 2,073,093,232 bytes consed.
% 26.24/26.44 :PROOF-FOUND
% 26.24/26.44 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T02:01:45
% 26.24/26.44 :PROOF-FOUND
% 26.24/26.44 *
%------------------------------------------------------------------------------