%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP018_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 : Tue Sep 29 11:35:05 AM UTC 2026
% Result : Theorem 0.19s 0.69s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 68 ( 68 usr; 29 con; 0-4 aty)
% Number of variables : 21 ( 19 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
u: $tType ).
tff(type_def_6,type,
d: $tType ).
tff(type_def_7,type,
du: $tType ).
tff(type_def_8,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(type_def_9,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_10,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_11,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
tff(type_def_12,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
tff(func_def_0,type,
tyop_2Ebinary__ieee_2Efloat: ( d * d ) > d ).
tff(func_def_1,type,
tyop_2Ebool_2Eitself: d > d ).
tff(func_def_2,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_3,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_4,type,
tyop_2Epair_2Eprod: ( d * d ) > d ).
tff(func_def_5,type,
tyop_2Erealax_2Ereal: d ).
tff(func_def_6,type,
s: ( d * u ) > du ).
tff(func_def_7,type,
app_2E2: ( du * du ) > u ).
tff(func_def_8,type,
combin_i_2E0: u ).
tff(func_def_9,type,
combin_k_2E0: u ).
tff(func_def_10,type,
combin_s_2E0: u ).
tff(func_def_11,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_12,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_13,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_14,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_16,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_17,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_18,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_19,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_20,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_21,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_22,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_23,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_24,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_25,type,
c_2Ebinary__ieee_2Efloat__negate_2E0: u ).
tff(func_def_26,type,
c_2Ebinary__ieee_2Efloat__negate_2E1: du > u ).
tff(func_def_27,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E0: u ).
tff(func_def_28,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1: du > u ).
tff(func_def_29,type,
c_2Ebinary__ieee_2Efloat__to__real_2E0: u ).
tff(func_def_30,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1: du > u ).
tff(func_def_31,type,
c_2Erealax_2Ereal__neg_2E0: u ).
tff(func_def_32,type,
c_2Erealax_2Ereal__neg_2E1: du > u ).
tff(func_def_33,type,
c_2Ebool_2Ethe__value_2E0: u ).
tff(func_def_34,type,
c_2Ebinary__ieee_2Eulp_2E0: u ).
tff(func_def_35,type,
c_2Ebinary__ieee_2Eulp_2E1: du > u ).
tff(func_def_36,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_37,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_38,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_39,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_40,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).
tff(func_def_41,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_42,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_43,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_44,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_45,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_46,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_47,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_48,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_49,type,
mono_2Ec_2Erealax_2Ereal__neg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(func_def_50,type,
mono_2Ec_2Erealax_2Ereal__neg_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
tff(func_def_51,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_52,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_53,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_54,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_55,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_56,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > u ).
tff(func_def_57,type,
i_mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > u ).
tff(func_def_58,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_59,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_60,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_61,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(func_def_62,type,
j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).
tff(func_def_63,type,
sK0: ( d * d * u * u ) > u ).
tff(func_def_64,type,
sK1: ( d * u ) > u ).
tff(func_def_65,type,
sK2: ( d * u ) > u ).
tff(func_def_66,type,
sK3: d ).
tff(func_def_67,type,
sK4: d ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(f37,axiom,
! [X0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Erealax_2Ereal__neg_2E1) ).
tff(f43,axiom,
! [X0: d,X1: d,X2: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(f44,axiom,
! [X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
tff(f47,conjecture,
! [X0: d,X1: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(f48,negated_conjecture,
~ ! [X0: d,X1: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))))) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
tff(f53,plain,
? [X0: d,X1: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))))) ),
inference(ennf_transformation,[],[f48]) ).
tff(f108,plain,
! [X0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f115,plain,
! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ),
inference(cnf_transformation,[],[f43]) ).
tff(f116,plain,
! [X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))) ),
inference(cnf_transformation,[],[f44]) ).
tff(f120,plain,
mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(cnf_transformation,[],[f53]) ).
tff(f121,plain,
! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ),
inference(definition_unfolding,[],[f115,f108]) ).
tff(f122,plain,
j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0)))))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0))))),
inference(definition_unfolding,[],[f120,f108]) ).
tff(f606,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0))))))),
inference(superposition,[],[f122,f121]) ).
tff(f608,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),c_2Ebool_2Ethe__value_2E0))))),
inference(forward_demodulation,[],[f606,f116]) ).
tff(f609,plain,
$false,
inference(trivial_inequality_removal,[],[f608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.57 % Computer : n014.cluster.edu
% 0.15/0.57 % Model : x86_64 x86_64
% 0.15/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.57 % Memory : 8046.5625MB
% 0.15/0.57 % OS : Linux 6.8.0-71-generic
% 0.15/0.57 % CPULimit : 300
% 0.15/0.57 % WCLimit : 300
% 0.15/0.57 % DateTime : Sun Sep 27 12:04:16 UTC 2026
% 0.19/0.58 % CPUTime :
% 0.19/0.58 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.61 Running first-order model finding
% 0.19/0.61 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.69 % (688914)Will run a generic schedule for satisfiability detection.
% 0.19/0.69 % (688921)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3185654549:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.69 % (688920)% WARNING: option uhcvi not known.
% 0.19/0.69 % (688923)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1723097091:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.69 % (688920)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2636718745:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.69 % (688919)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=972924753_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.69 % (688922)dis+10_1_sil=32000:sp=arity:random_seed=3693109206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.69 % (688924)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2220526457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.69 % (688925)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=472289069:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.69 % (688920) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-688914-688920"...
% 0.19/0.69 % (688920)...printing done.
% 0.19/0.69 % (688920)Refutation found. Thanks to Tanya!
% 0.19/0.69 % SZS status Theorem for theBenchmark
% 0.19/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.70 % (688920)------------------------------
% 0.19/0.70 % (688920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.70 % (688920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.70 % (688920)CaDiCaL version: 2.1.3
% 0.19/0.70 % (688920)Termination reason: Refutation
% 0.19/0.70 % (688920)Time elapsed: 0.032 s
% 0.19/0.70 % (688920)Peak memory usage: 12 MB
% 0.19/0.70 % (688920)Instructions burned: 31 (million)
% 0.19/0.70 % (688914)Success in time 0.073 s
% 0.19/0.70 % Vampire exiting
%------------------------------------------------------------------------------