TSTP Solution File: ALG399-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 14 17:40:07 EDT 2022
% Result : Unsatisfiable 0.78s 0.93s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 12 unt; 0 nHn; 24 RR)
% Number of literals : 49 ( 48 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_calculation_0,axiom,
c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
cnf(cls_qr_0,axiom,
c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex))),bind(Y,$fot(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_4,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[cls_qr_0,refute_0_3]) ).
cnf(refute_0_5,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex),
inference(subst,[],[refute_0_4:[bind(V_z,$fot(v_y____))]]) ).
cnf(refute_0_6,plain,
( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1],$fot(c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_7,plain,
( c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[cls_calculation_0,refute_0_7]) ).
cnf(refute_0_9,plain,
( c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex))),bind(Y,$fot(c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_10,plain,
c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))),bind(Y,$fot(c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex))),bind(Z,$fot(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_14,plain,
( c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) ),[0],$fot(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_17,plain,
( c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) ),[1],$fot(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_19,plain,
( c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
( c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) )],[refute_0_19,refute_0_17]) ).
cnf(refute_0_21,plain,
c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)) )],[refute_0_20,cls_conjecture_0]) ).
cnf(refute_0_22,plain,
c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)) )],[refute_0_22,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 8 15:50:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.78/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.93
% 0.78/0.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.78/0.93
%------------------------------------------------------------------------------