TSTP Solution File: SWW255+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW255+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 01:24:46 EDT 2022
% Result : Theorem 13.99s 14.19s
% Output : Refutation 13.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 32 ( 25 unt; 0 nHn; 14 RR)
% Number of literals : 39 ( 27 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-3 aty)
% Number of variables : 36 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_s0) ).
cnf(5,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_r01) ).
cnf(16,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),X) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_kas_I4_J) ).
cnf(17,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),X) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),X))),
inference('REWRITE',[status(thm)],[16,5,theory(equality)]) ).
cnf(64,axiom,
( ~ class_Power_Opower(X)
| hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__0) ).
cnf(147,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pqc0) ).
cnf(216,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),Z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
cnf(221,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| c_Groups_Oplus__class_Oplus(X,Y,Z) = c_Groups_Oplus__class_Oplus(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
cnf(241,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),c_Groups_Oone__class_Oone(X)) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
cnf(798,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| hAPP(c_Polynomial_Opoly(X,c_Polynomial_Omonom(X,Y,Z)),U) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),hAPP(hAPP(c_Power_Opower__class_Opower(X),U),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__monom) ).
cnf(799,axiom,
( ~ class_Groups_Ozero(X)
| c_Polynomial_Omonom(X,Y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(X,Y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_monom__0) ).
cnf(1150,axiom,
( ~ class_Groups_Ogroup__add(X)
| c_Groups_Ominus__class_Ominus(X,Y,c_Groups_Ouminus__class_Ouminus(X,Z)) = c_Groups_Oplus__class_Oplus(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
cnf(1357,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1367,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
cnf(1375,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Power_Opower) ).
cnf(1376,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
cnf(1436,negated_conjecture,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)) != c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1437,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)) != c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)))),
inference('REWRITE',[status(thm)],[1436,147,theory(equality)]) ).
cnf(1455,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),X))),
inference('REWRITE',[status(thm)],[17,147,theory(equality)]) ).
cnf(1456,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),v_w____)))) != c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)))),
inference('REWRITE',[status(thm)],[1437,1455,theory(equality)]) ).
cnf(1877,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X,Y) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,Y,X),
inference('HYPERRESOLVE',[status(thm)],[221,1357]) ).
cnf(2125,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X,
inference('HYPERRESOLVE',[status(thm)],[241,1357]) ).
cnf(2326,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[64,1375]) ).
cnf(2879,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,Y)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X,Y),
inference('HYPERRESOLVE',[status(thm)],[1150,1367]) ).
cnf(2886,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),v_w____))))) != c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____))))),
inference('REWRITE',[status(thm)],[1456,2879,theory(equality)]) ).
cnf(2889,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,Y)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,Y,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X)),
inference('REWRITE',[status(thm)],[1877,2879,theory(equality)]) ).
cnf(2891,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),v_w____)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))) != c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),
inference('REWRITE',[status(thm)],[2886,2889,theory(equality)]) ).
cnf(3862,plain,
c_Polynomial_Omonom(tc_Complex_Ocomplex,X,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(tc_Complex_Ocomplex,X,v_s____),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[799,1376]),2,theory(equality)]) ).
cnf(3865,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v_w____)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))) != c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),
inference('REWRITE',[status(thm)],[2891,3862,theory(equality)]) ).
cnf(3899,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X),Y) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),Y),X),
inference('HYPERRESOLVE',[status(thm)],[216,1357]) ).
cnf(6938,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Omonom(tc_Complex_Ocomplex,X,Y)),Z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),Z),Y)),
inference('HYPERRESOLVE',[status(thm)],[798,1357]) ).
cnf(6940,plain,
$false,
inference('REWRITE',[status(thm)],[3865,3899,2125,2326,6938,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW255+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 Jun 5 07:02:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T07:02:45
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-05T07:02:45
% 0.49/0.72
% 0.49/0.72 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.56/0.74 WARNING:
% 0.56/0.74 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.74 WARNING:
% 0.56/0.74 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 13.99/14.19 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 13.99/14.19
% 13.99/14.19 #||
% 13.99/14.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.99/14.19 % SZS output start Refutation
% See solution above
% 13.99/14.20 ||#
% 13.99/14.20
% 13.99/14.20 ; Summary of computation:
% 13.99/14.20 ; 235540 formulas have been input or derived (from 1123 formulas).
% 13.99/14.20 ; 6940 ( 3%) were retained. Of these,
% 13.99/14.20 ; 1446 (21%) were simplified or subsumed later,
% 13.99/14.20 ; 5494 (79%) are still being kept.
% 13.99/14.20 ;
% 13.99/14.20 ; Run time in seconds excluding printing time:
% 13.99/14.20 ; 0.218 2% Read assertion file (1 call)
% 13.99/14.20 ; 0.030 0% Assert (1,264 calls)
% 13.99/14.20 ; 1.045 8% Process new row (222,815 calls)
% 13.99/14.20 ; 3.899 28% Resolution (2,244 calls)
% 13.99/14.20 ; 0.051 0% Paramodulation (1,122 calls)
% 13.99/14.20 ; 0.000 0% Factoring (12 calls)
% 13.99/14.20 ; 0.159 1% Condensing (16,151 calls)
% 13.99/14.20 ; 0.857 6% Forward subsumption (16,151 calls)
% 13.99/14.20 ; 0.137 1% Backward subsumption (3,195 calls)
% 13.99/14.20 ; 0.207 2% Clause clause subsumption (28,784 calls)
% 13.99/14.20 ; 5.444 40% Forward simplification (210,327 calls)
% 13.99/14.20 ; 0.169 1% Backward simplification (6,902 calls)
% 13.99/14.20 ; 0.900 7% Ordering (275,073 calls)
% 13.99/14.20 ; 0.000 0% Sortal reasoning (32 calls)
% 13.99/14.20 ; 0.003 0% Purity testing (1 call)
% 13.99/14.20 ; 0.596 4% Other
% 13.99/14.20 ; 13.715 Total
% 13.99/14.20 ; 13.718 Real time
% 13.99/14.20 ;
% 13.99/14.20 ; Term-hash-array has 13,691 terms in all.
% 13.99/14.20 ; Feature-vector-row-index has 2,684 entries (2,685 at peak, 3,195 added, 511 deleted).
% 13.99/14.20 ; Feature-vector-row-index has 19,987 nodes (20,014 at peak, 22,840 added, 2,853 deleted).
% 13.99/14.20 ; Retrieved 45,998 possibly forward subsuming rows in 16,151 calls.
% 13.99/14.20 ; Retrieved 2,539 possibly backward subsumed rows in 3,195 calls.
% 13.99/14.20 ; Path-index has 11,291 entries (11,313 at peak, 14,080 added, 2,789 deleted).
% 13.99/14.20 ; Path-index has 30,958 nodes (31,020 at peak, 34,305 added, 3,347 deleted).
% 13.99/14.20 ; Trie-index has 11,291 entries (11,313 at peak, 14,080 added, 2,789 deleted).
% 13.99/14.20 ; Trie-index has 57,145 nodes (57,380 at peak, 72,382 added, 15,237 deleted).
% 13.99/14.20 ; Retrieved 851,679 generalization terms in 1,926,463 calls.
% 13.99/14.20 ; Retrieved 8,644 instance terms in 4,628 calls.
% 13.99/14.20 ; Retrieved 4,751,404 unifiable terms in 61,079 calls.
% 13.99/14.20 ;
% 13.99/14.20 ; The agenda of backward simplifiable rows to process has 1 entry:
% 13.99/14.20 ; 1 with value 0
% 13.99/14.20 ; The agenda of rows to process has 4 entries:
% 13.99/14.20 ; 4 with value 26
% 13.99/14.20 ; The agenda of input rows to give has 325 entries:
% 13.99/14.20 ; 15 with value 28 10 with value 39 1 with value 49
% 13.99/14.20 ; 21 with value 29 10 with value 40 2 with value 52
% 13.99/14.20 ; 26 with value 30 8 with value 41 2 with value 54
% 13.99/14.20 ; 57 with value 31 7 with value 42 1 with value 55
% 13.99/14.20 ; 29 with value 32 1 with value 43 3 with value 58
% 13.99/14.20 ; 38 with value 33 1 with value 44 1 with value 63
% 13.99/14.20 ; 18 with value 34 8 with value 45 2 with value 70
% 13.99/14.20 ; 17 with value 35 6 with value 46 2 with value 73
% 13.99/14.20 ; 6 with value 36 2 with value 47 4 with value 75
% 13.99/14.20 ; 9 with value 37 8 with value 48 2 with value 79
% 13.99/14.20 ; 8 with value 38
% 13.99/14.20 ; The agenda of rows to give has 4131 entries:
% 13.99/14.20 ; 3 with value (4 4) 109 with value (4 28) 19 with value (4 52)
% 13.99/14.20 ; 1 with value (4 5) 95 with value (4 29) 38 with value (4 53)
% 13.99/14.20 ; 167 with value (4 6) 138 with value (4 30) 25 with value (4 54)
% 13.99/14.20 ; 18 with value (4 7) 88 with value (4 31) 26 with value (4 55)
% 13.99/14.20 ; 25 with value (4 8) 83 with value (4 32) 13 with value (4 56)
% 13.99/14.20 ; 59 with value (4 9) 72 with value (4 33) 26 with value (4 57)
% 13.99/14.20 ; 46 with value (4 10) 93 with value (4 34) 7 with value (4 58)
% 13.99/14.20 ; 49 with value (4 11) 118 with value (4 35) 18 with value (4 59)
% 13.99/14.20 ; 97 with value (4 12) 65 with value (4 36) 3 with value (4 60)
% 13.99/14.20 ; 118 with value (4 13) 74 with value (4 37) 6 with value (4 61)
% 13.99/14.20 ; 136 with value (4 14) 57 with value (4 38) 1 with value (4 62)
% 13.99/14.20 ; 166 with value (4 15) 103 with value (4 39) 7 with value (4 63)
% 13.99/14.20 ; 93 with value (4 16) 84 with value (4 40) 5 with value (4 64)
% 13.99/14.20 ; 88 with value (4 17) 46 with value (4 41) 2 with value (4 65)
% 13.99/14.20 ; 92 with value (4 18) 51 with value (4 42) 6 with value (4 66)
% 13.99/14.20 ; 160 with value (4 19) 73 with value (4 43) 5 with value (4 67)
% 13.99/14.20 ; 86 with value (4 20) 69 with value (4 44) 1 with value (4 68)
% 13.99/14.20 ; 97 with value (4 21) 59 with value (4 45) 1 with value (4 69)
% 13.99/14.20 ; 103 with value (4 22) 33 with value (4 46) 4 with value (4 75)
% 13.99/14.20 ; 144 with value (4 23) 34 with value (4 47) 4 with value (4 77)
% 13.99/14.20 ; 152 with value (4 24) 31 with value (4 48) 4 with value (4 79)
% 13.99/14.20 ; 142 with value (4 25) 32 with value (4 49) 1 with value (4 84)
% 13.99/14.20 ; 110 with value (4 26) 20 with value (4 50) 1 with value (4 86)
% 13.99/14.20 ; 102 with value (4 27) 26 with value (4 51) 1 with value (4 90)
% 13.99/14.20 Evaluation took:
% 13.99/14.20 13.721 seconds of real time
% 13.99/14.20 12.58267 seconds of user run time
% 13.99/14.20 1.139225 seconds of system run time
% 13.99/14.20 [Run times include 1.418 seconds GC run time.]
% 13.99/14.20 0 calls to %EVAL
% 13.99/14.20 0 page faults and
% 13.99/14.20 1,152,643,720 bytes consed.
% 13.99/14.20 :PROOF-FOUND
% 13.99/14.20 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T07:02:58
% 13.99/14.20 :PROOF-FOUND
% 13.99/14.20 *
%------------------------------------------------------------------------------