TSTP Solution File: SWW218+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWW218+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 00:59:21 EDT 2022
% Result : Theorem 1.54s 1.76s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 59 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 22 |; 7 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 16 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096,axiom,
? [B_s] :
! [B_y] :
( ? [B_x] :
( ? [B_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
& c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x) )
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s) ) ).
fof(conj_0,hypothesis,
( ? [B_s] :
! [B_y] :
( ? [B_x] :
( ? [B_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
& c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x) )
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s) )
=> v_thesis____ ) ).
fof(conj_1,conjecture,
v_thesis____ ).
fof(subgoal_0,plain,
v_thesis____,
inference(strip,[],[conj_1]) ).
fof(negate_0_0,plain,
~ v_thesis____,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( v_thesis____
| ! [B_s] :
? [B_y] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s)
<=> ? [B_x] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)
& ? [B_z] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) ) ) ) ),
inference(canonicalize,[],[conj_0]) ).
fof(normalize_0_1,plain,
? [B_s] :
! [B_y] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s)
<=> ! [B_x] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)
| ! [B_z] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) ) ) ),
inference(canonicalize,[],[fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096]) ).
fof(normalize_0_2,plain,
! [B_y] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,skolemFOFtoCNF_B_s)
<=> ! [B_x] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)
| ! [B_z] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) ) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B_y] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,skolemFOFtoCNF_B_s)
<=> ! [B_x] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)
| ! [B_z] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) ) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( v_thesis____
| ! [B_s] :
? [B_y] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s)
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,skolemFOFtoCNF_B_s) ) ),
inference(simplify,[],[normalize_0_0,normalize_0_3]) ).
fof(normalize_0_5,plain,
! [B_s] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),B_s)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),skolemFOFtoCNF_B_s)
| v_thesis____ )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),B_s)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B_s] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),B_s)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B_s] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),B_s)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_8,plain,
~ v_thesis____,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),B_s)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_1,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(skolemFOFtoCNF_B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ),
inference(subst,[],[refute_0_0:[bind(B_s,$fot(skolemFOFtoCNF_B_s))]]) ).
cnf(refute_0_2,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),B_s)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(skolemFOFtoCNF_B_s),skolemFOFtoCNF_B_s)
| v_thesis____ ),
inference(subst,[],[refute_0_2:[bind(B_s,$fot(skolemFOFtoCNF_B_s))]]) ).
cnf(refute_0_4,plain,
~ v_thesis____,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(skolemFOFtoCNF_B_s),skolemFOFtoCNF_B_s),
inference(resolve,[$cnf( v_thesis____ )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
v_thesis____,
inference(resolve,[$cnf( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,skolemFOFtoCNF_B_y_1(skolemFOFtoCNF_B_s),skolemFOFtoCNF_B_s) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( v_thesis____ )],[refute_0_6,refute_0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW218+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.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 00:42:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.54/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.54/1.76
% 1.54/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.54/1.76
%------------------------------------------------------------------------------