%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP018_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:35:06 AM UTC 2026
% Result : Theorem 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 7 con; 0-4 aty)
% Number of variables : 47 ( 45 !; 2 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Ebinary__ieee_2Efloat: ( $tType * $tType ) > $tType ).
tff(type_def_6,type,
tyop_2Ebool_2Eitself: $tType > $tType ).
tff(type_def_7,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_8,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
tyop_2Epair_2Eprod: ( $tType * $tType ) > $tType ).
tff(type_def_10,type,
tyop_2Erealax_2Ereal: $tType ).
tff(type_def_11,type,
sK3: $tType ).
tff(type_def_12,type,
sK4: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_7,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_8,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_9,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_10,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_11,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_13,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_14,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_15,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_16,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_17,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_18,type,
c_2Ebinary__ieee_2Efloat__negate_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Ebinary__ieee_2Efloat(X0,X1)) ).
tff(func_def_19,type,
c_2Ebinary__ieee_2Efloat__negate_2E1:
!>[X0: $tType,X1: $tType] : ( tyop_2Ebinary__ieee_2Efloat(X0,X1) > tyop_2Ebinary__ieee_2Efloat(X0,X1) ) ).
tff(func_def_20,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Ebinary__ieee_2Efloat(X0,X1)) ).
tff(func_def_21,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1:
!>[X0: $tType,X1: $tType] : ( tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)) > tyop_2Ebinary__ieee_2Efloat(X0,X1) ) ).
tff(func_def_22,type,
c_2Ebinary__ieee_2Efloat__to__real_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal) ).
tff(func_def_23,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1:
!>[X0: $tType,X1: $tType] : ( tyop_2Ebinary__ieee_2Efloat(X0,X1) > tyop_2Erealax_2Ereal ) ).
tff(func_def_24,type,
c_2Erealax_2Ereal__neg_2E0: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) ).
tff(func_def_25,type,
c_2Erealax_2Ereal__neg_2E1: tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal ).
tff(func_def_26,type,
c_2Ebool_2Ethe__value_2E0:
!>[X0: $tType] : tyop_2Ebool_2Eitself(X0) ).
tff(func_def_27,type,
c_2Ebinary__ieee_2Eulp_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Erealax_2Ereal) ).
tff(func_def_28,type,
c_2Ebinary__ieee_2Eulp_2E1:
!>[X0: $tType,X1: $tType] : ( tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)) > tyop_2Erealax_2Ereal ) ).
tff(func_def_29,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_30,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_31,type,
sK0:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(func_def_32,type,
sK1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_33,type,
sK2:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f22,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,X2) = app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebinary__ieee_2Efloat__negate_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f24,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1))] : ( c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,X2) = app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebinary__ieee_2Efloat__plus__min_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).
tff(f25,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,X2) = app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebinary__ieee_2Efloat__to__real_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f27,axiom,
! [X0: tyop_2Erealax_2Ereal] : ( c_2Erealax_2Ereal__neg_2E1(X0) = app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Erealax_2Ereal__neg_2E1) ).
tff(f28,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1))] : ( c_2Ebinary__ieee_2Eulp_2E1(X0,X1,X2) = app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebinary__ieee_2Eulp_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).
tff(f30,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,X2)) = c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(f31,axiom,
! [X0: $tType,X1: $tType] : ( c_2Ebinary__ieee_2Eulp_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1))) = c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
tff(f34,conjecture,
! [X0: $tType,X1: $tType] : ( c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Eulp_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1)))) = c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(f35,negated_conjecture,
~ ! [X0: $tType,X1: $tType] : ( c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Eulp_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1)))) = c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1))))) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
tff(f41,plain,
? [X0: $tType,X1: $tType] : ( c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Eulp_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1)))) != c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1))))) ),
inference(ennf_transformation,[],[f35]) ).
tff(f67,plain,
c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Eulp_2E1(sK3,sK4,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4)))) != c_2Ebinary__ieee_2Efloat__to__real_2E1(sK3,sK4,c_2Ebinary__ieee_2Efloat__negate_2E1(sK3,sK4,c_2Ebinary__ieee_2Efloat__plus__min_2E1(sK3,sK4,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f41]) ).
tff(f107,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,X2) = app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E0(X0,X1),X2) ),
inference(cnf_transformation,[],[f22]) ).
tff(f109,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1))] : ( c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,X2) = app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E0(X0,X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
tff(f110,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,X2) = app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(X0,X1),X2) ),
inference(cnf_transformation,[],[f25]) ).
tff(f112,plain,
! [X0: tyop_2Erealax_2Ereal] : ( c_2Erealax_2Ereal__neg_2E1(X0) = app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f113,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1))] : ( c_2Ebinary__ieee_2Eulp_2E1(X0,X1,X2) = app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(X0,X1),X2) ),
inference(cnf_transformation,[],[f28]) ).
tff(f116,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__negate_2E1(X0,X1,X2)) = c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f30]) ).
tff(f117,plain,
! [X1: $tType,X0: $tType] : ( c_2Ebinary__ieee_2Eulp_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1))) = c_2Ebinary__ieee_2Efloat__to__real_2E1(X0,X1,c_2Ebinary__ieee_2Efloat__plus__min_2E1(X0,X1,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1)))) ),
inference(cnf_transformation,[],[f31]) ).
tff(f121,plain,
c_2Erealax_2Ereal__neg_2E1(c_2Ebinary__ieee_2Eulp_2E1(sK3,sK4,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4)))) != c_2Ebinary__ieee_2Efloat__to__real_2E1(sK3,sK4,c_2Ebinary__ieee_2Efloat__negate_2E1(sK3,sK4,c_2Ebinary__ieee_2Efloat__plus__min_2E1(sK3,sK4,c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4))))),
inference(cnf_transformation,[],[f67]) ).
tff(f128,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Ebinary__ieee_2Efloat(X0,X1)] : ( app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(X0,X1),app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E0(X0,X1),X2)) = app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(X0,X1),X2)) ),
inference(definition_unfolding,[],[f116,f110,f107,f112,f110]) ).
tff(f129,plain,
! [X1: $tType,X0: $tType] : ( app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(X0,X1),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1))) = app_2E2(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(X0,X1),app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E0(X0,X1),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(X0,X1)))) ),
inference(definition_unfolding,[],[f117,f113,f110,f109]) ).
tff(f130,plain,
app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(sK3,sK4),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4)))) != app_2E2(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(sK3,sK4),app_2E2(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__negate_2E0(sK3,sK4),app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__plus__min_2E0(sK3,sK4),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4))))),
inference(definition_unfolding,[],[f121,f112,f113,f110,f107,f109]) ).
tff(f620,plain,
app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(sK3,sK4),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4)))) != app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,app_2E2(tyop_2Ebinary__ieee_2Efloat(sK3,sK4),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E0(sK3,sK4),app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),tyop_2Ebinary__ieee_2Efloat(sK3,sK4),c_2Ebinary__ieee_2Efloat__plus__min_2E0(sK3,sK4),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4))))),
inference(superposition,[],[f130,f128]) ).
tff(f621,plain,
app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(sK3,sK4),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4)))) != app_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E0,app_2E2(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3,sK4)),tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E0(sK3,sK4),c_2Ebool_2Ethe__value_2E0(tyop_2Epair_2Eprod(sK3,sK4)))),
inference(superposition,[],[f620,f129]) ).
tff(f622,plain,
$false,
inference(trivial_inequality_removal,[],[f621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP018_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 12:04:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 % (2262593)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (2262599)% WARNING: option uhcvi not known.
% 0.07/0.37 % (2262603)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1732853908:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (2262598)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2140588130_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (2262599)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1987697530:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (2262600)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=820508283:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (2262601)dis+10_1_sil=32000:sp=arity:random_seed=2614488661:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (2262602)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2761718715:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (2262604)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=503458409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % Exception at run slice level
% 0.07/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.07/0.37 % (2262601) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2262593-2262601"...
% 0.07/0.37 % (2262601)...printing done.
% 0.07/0.37 % (2262601)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Theorem for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (2262601)------------------------------
% 0.07/0.37 % (2262601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (2262601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (2262601)CaDiCaL version: 2.1.3
% 0.07/0.37 % (2262601)Termination reason: Refutation
% 0.07/0.37 % (2262601)Time elapsed: 0.008 s
% 0.07/0.37 % (2262601)Peak memory usage: 12 MB
% 0.07/0.37 % (2262601)Instructions burned: 23 (million)
% 0.07/0.37 % (2262593)Success in time 0.036 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------