TSTP Solution File: SWV629-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 20:39:42 EDT 2022
% Result : Unsatisfiable 0.46s 0.70s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 17 ( 13 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_power__one__right_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(T_a)
| c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
cnf(cls_root__unity_0,axiom,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_n,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
cnf(cls_conjecture_0,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
cnf(refute_0_0,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(subst,[],[cls_root__unity_0:[bind(V_n,$fot(c_HOL_Oone__class_Oone(tc_nat)))]]) ).
cnf(refute_0_1,plain,
( ~ class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
| c_Power_Opower__class_Opower(X_61,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X_61 ),
inference(subst,[],[cls_power__one__right_0:[bind(T_a,$fot(tc_Complex_Ocomplex)),bind(V_a,$fot(X_61))]]) ).
cnf(refute_0_2,plain,
c_Power_Opower__class_Opower(X_61,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X_61,
inference(resolve,[$cnf( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,refute_0_1]) ).
cnf(refute_0_3,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
inference(subst,[],[refute_0_2:[bind(X_61,$fot(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))))]]) ).
cnf(refute_0_4,plain,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))
| c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) ),[0],$fot(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)))]]) ).
cnf(refute_0_5,plain,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( $equal(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) )],[refute_0_6,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n004.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 : Wed Jun 15 19:30:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.46/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.70
% 0.46/0.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.46/0.70
%------------------------------------------------------------------------------