%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG387-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:50:07 AM UTC 2026
% Result : Unsatisfiable 55.31s 8.40s
% Output : CNFRefutation 55.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 62 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_poly__pCons_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_Polynomial_Opoly(c_Polynomial_OpCons(VAR_1,VAR_2,VAR_0),VAR_3,VAR_0) = c_HOL_Oplus__class_Oplus(VAR_1,c_HOL_Otimes__class_Otimes(VAR_3,c_Polynomial_Opoly(VAR_2,VAR_3,VAR_0),VAR_0),VAR_0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(VAR_0) ),
file('theBenchmark.p',cls_poly__pCons_0) ).
cnf(c_527,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,c_Polynomial_Opoly(C,D,A),A),A)
| ~ class_Ring__and__Field_Ocomm__semiring__0(A) ),
inference(clausify,[status(thm)],[cls_poly__pCons_0]) ).
fof(cls_ath_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(VAR_1,c_RealVector_Onorm__class_Onorm(VAR_0,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(VAR_0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(VAR_1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('theBenchmark.p',cls_ath_0) ).
cnf(c_535,plain,
( c_lessequals(B,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(clausify,[status(thm)],[cls_ath_0]) ).
fof(cls_v_0,axiom,
! [VAR_0] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(VAR_0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),VAR_0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('theBenchmark.p',cls_v_0) ).
cnf(c_539,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(clausify,[status(thm)],[cls_v_0]) ).
fof(cls_v0_0,axiom,
! [VAR_0] :
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(VAR_0,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),VAR_0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('theBenchmark.p',cls_v0_0) ).
cnf(c_542,plain,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(clausify,[status(thm)],[cls_v0_0]) ).
fof(cls_real__le__linear_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(VAR_1,VAR_0,tc_RealDef_Oreal)
| c_lessequals(VAR_0,VAR_1,tc_RealDef_Oreal) ),
file('theBenchmark.p',cls_real__le__linear_0) ).
cnf(c_546,plain,
( c_lessequals(B,A,tc_RealDef_Oreal)
| c_lessequals(A,B,tc_RealDef_Oreal) ),
inference(clausify,[status(thm)],[cls_real__le__linear_0]) ).
fof(cls_real__le__refl_0,axiom,
! [VAR_0] : c_lessequals(VAR_0,VAR_0,tc_RealDef_Oreal),
file('theBenchmark.p',cls_real__le__refl_0) ).
cnf(c_549,plain,
c_lessequals(A,A,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_real__le__refl_0]) ).
fof(cls_real__le__antisym_0,axiom,
! [VAR_0,VAR_1] :
( ~ c_lessequals(VAR_0,VAR_1,tc_RealDef_Oreal)
| ~ c_lessequals(VAR_1,VAR_0,tc_RealDef_Oreal)
| VAR_0 = VAR_1 ),
file('theBenchmark.p',cls_real__le__antisym_0) ).
cnf(c_556,plain,
( ~ c_lessequals(A,B,tc_RealDef_Oreal)
| ~ c_lessequals(B,A,tc_RealDef_Oreal)
| A = B ),
inference(clausify,[status(thm)],[cls_real__le__antisym_0]) ).
fof(cls_conjecture_0,axiom,
! [VAR_0] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),VAR_0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,VAR_0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_557,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,A),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(c_603,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(clausify,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(c_1853,plain,
( c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(resolve,[status(thm)],[c_539,c_535]) ).
cnf(c_1884,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal) ),
inference(resolve,[status(thm)],[c_546,c_542]) ).
cnf(c_1947,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(C,c_Polynomial_Opoly(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[status(thm)],[c_603,c_527]) ).
cnf(c_17473,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_1947,c_1884]) ).
cnf(c_1954,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(A,c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_1947,c_17473]) ).
cnf(c_17474,plain,
( c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_1947,c_1853]) ).
cnf(c_1961,plain,
( c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(A,c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_1947,c_17474]) ).
cnf(c_17475,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(A,c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,A),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_1947,c_557]) ).
cnf(c_1964,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(A,c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(hAPP(v_x,A),c_Polynomial_Opoly(v_cs____,hAPP(v_x,A),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_1947,c_17475]) ).
cnf(c_17476,plain,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_1947,c_542]) ).
cnf(c_1966,plain,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(A,c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_1947,c_17476]) ).
cnf(c_17107,plain,
c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_1964,c_1961]) ).
cnf(c_17109,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_1964,c_1954]) ).
cnf(c_17477,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal)
| v_r____ = c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex) ),
inference(resolve,[status(thm)],[c_17107,c_556]) ).
cnf(c_17478,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal)
| c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex) = v_r____ ),
inference(copy,[status(thm)],[c_17477]) ).
cnf(c_17134,plain,
c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex) = v_r____,
inference(resolve,[status(thm)],[c_17109,c_17478]) ).
cnf(c_17479,plain,
( ~ c_lessequals(v_r____,v_r____,tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_c____,c_HOL_Otimes__class_Otimes(hAPP(v_x,v_v____),c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_17134,c_1966]) ).
cnf(c_17480,plain,
~ c_lessequals(v_r____,v_r____,tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_1964,c_17479]) ).
cnf(c_17472,plain,
$false,
inference(resolve,[status(thm)],[c_549,c_17480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG387-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n002.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sat Sep 26 21:59:07 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.44 % Process 2771194 was started by sandbox on n002,
% 0.15/0.44 % Sat Sep 26 21:59:07 2026
% 0.15/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.49
% 0.15/0.49 % From the command line: assign(max_seconds, 300).
% 55.31/8.40
% 55.31/8.40 % given #500 (I,wt=17): 1154 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = B. [copy(1153),flip(b)].
% 55.31/8.40
% 55.31/8.40 % given #1000 (F,wt=7): 3587 c_NthRoot_Osqrt(c_Transcendental_Oexp(A,tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1188,b,994,a)].
% 55.31/8.40
% 55.31/8.40 % given #1500 (T,wt=7): 10378 class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_RealDef_Oreal)))))). [resolve(9413,a,628,b)].
% 55.31/8.40
% 55.31/8.40 % given #2000 (F,wt=13): 16099 c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(c_NthRoot_Osqrt(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex))),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(11479,a,5506,b)].
% 55.31/8.40
% 55.31/8.40 % SZS status Unsatisfiable for theBenchmark
% 55.31/8.40
% 55.31/8.40 % Proof 1 at 6.52 (+ 1.30) seconds.
% 55.31/8.41 % Length of proof is 20.
% 55.31/8.41 % Level of proof is 5.
% 55.31/8.41 % Maximum clause weight is 32.000.
% 55.31/8.41 % Given clauses 2114.
% 55.31/8.41
% 55.31/8.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------