%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP013_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 01:47:44 PM UTC 2026
% Result : Theorem 0.65s 1.29s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 178 ( 44 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 71 ( 26 ~; 18 |; 21 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of FOOLs : 105 ( 105 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 81 ( 81 usr; 33 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 48 !; 3 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
tyop_2Efcp_2Ecart: ( d * d ) > d ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(func_def_2,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_3,type,
tyop_2Enum_2Enum: d ).
tff(func_def_4,type,
s: ( u * d ) > du ).
tff(func_def_5,type,
app_2E2: ( du * du ) > u ).
tff(func_def_6,type,
combin_i_2E0: u ).
tff(func_def_7,type,
combin_k_2E0: u ).
tff(func_def_8,type,
combin_s_2E0: u ).
tff(func_def_9,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_10,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_11,type,
c_2Earithmetic_2E_2B_2E0: u ).
tff(func_def_12,type,
c_2Earithmetic_2E_2B_2E2: ( du * du ) > u ).
tff(func_def_13,type,
c_2Earithmetic_2E_2D_2E0: u ).
tff(func_def_14,type,
c_2Earithmetic_2E_2D_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_16,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_17,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
tff(func_def_18,type,
c_2Earithmetic_2E_3C_3D_2E2: ( du * du ) > u ).
tff(func_def_19,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_20,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_21,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_22,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_23,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_24,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_25,type,
c_2Ebool_2ECOND_2E0: u ).
tff(func_def_26,type,
c_2Ebool_2ECOND_2E3: ( du * ( du * du ) ) > u ).
tff(func_def_27,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_28,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_29,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_30,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_31,type,
c_2Ewords_2En2w_2E0: u ).
tff(func_def_32,type,
c_2Ewords_2En2w_2E1: du > u ).
tff(func_def_33,type,
c_2Ewords_2Eword__2comp_2E0: u ).
tff(func_def_34,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
tff(func_def_35,type,
c_2Ewords_2Eword__add_2E0: u ).
tff(func_def_36,type,
c_2Ewords_2Eword__add_2E2: ( du * du ) > u ).
tff(func_def_37,type,
c_2Ewords_2Eword__sub_2E0: u ).
tff(func_def_38,type,
c_2Ewords_2Eword__sub_2E2: ( du * du ) > u ).
tff(func_def_39,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_40,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_41,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_42,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Ebool * 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_2Ebool_29 ).
tff(func_def_43,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_44,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_45,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
tff(func_def_46,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > mono_2Etyop_2Enum_2Enum ).
tff(func_def_47,type,
mono_2Ec_2Earithmetic_2E_2B_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).
tff(func_def_48,type,
mono_2Ec_2Earithmetic_2E_2B_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(func_def_49,type,
mono_2Ec_2Earithmetic_2E_2D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).
tff(func_def_50,type,
mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(func_def_51,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_52,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_53,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_54,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_55,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_56,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_57,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_58,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_59,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_60,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_61,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_62,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_63,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_64,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_65,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_66,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_67,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_68,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 > u ).
tff(func_def_69,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > u ).
tff(func_def_70,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
tff(func_def_71,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_72,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_73,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_74,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_75,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_76,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).
tff(func_def_77,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
tff(func_def_78,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
tff(func_def_79,type,
sK0: d ).
tff(func_def_80,type,
sK1: mono_2Etyop_2Enum_2Enum ).
tff(func_def_81,type,
sK2: mono_2Etyop_2Enum_2Enum ).
tff(f61,axiom,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X0) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X0) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
<=> p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f65,axiom,
! [X0: d] :
( ! [X3: u,X4: u] : ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X3),s(X0,X4))) = s(X0,X4) )
& ! [X1: u,X2: u] : ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) = s(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
tff(f66,axiom,
! [X0: d,X1: u,X2: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
tff(f67,axiom,
! [X0: d,X1: d] :
( ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X4)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X5)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X5,X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X4,X5))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X5,X4))))))))) )
& ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X3)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2B_2E2(X2,X3))))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(f68,conjecture,
! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1))
=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1,X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
tff(f69,negated_conjecture,
~ ! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1))
=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1,X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))) ) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
tff(f70,plain,
? [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1))
& ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1,X2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))) ) ),
inference(ennf_transformation,[],[f69]) ).
tff(f79,plain,
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1))
& ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f70]) ).
tff(f86,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2EF_2E0 != X0 )
| ~ p(X0) )
& ( p(X0)
| ( X0 = mono_2Ec_2Ebool_2EF_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 != X0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 != X0 )
| p(X0) )
& ( ~ p(X0)
| ( X0 = mono_2Ec_2Ebool_2ET_2E0 ) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 != X0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ) ),
inference(nnf_transformation,[],[f61]) ).
tff(f87,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2EF_2E0 != X0 )
| ~ p(X0) )
& ( p(X0)
| ( X0 = mono_2Ec_2Ebool_2EF_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 != X0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 != X0 )
| p(X0) )
& ( ~ p(X0)
| ( X0 = mono_2Ec_2Ebool_2ET_2E0 ) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 != X0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ) ),
inference(flattening,[],[f86]) ).
tff(f91,plain,
p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)),
inference(cnf_transformation,[],[f79]) ).
tff(f92,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))),
inference(cnf_transformation,[],[f79]) ).
tff(f111,plain,
! [X2: u,X0: d,X1: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))) ),
inference(cnf_transformation,[],[f66]) ).
tff(f112,plain,
! [X1: d,X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X4)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X5)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X5,X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X4,X5))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X5,X4))))))))) ),
inference(cnf_transformation,[],[f67]) ).
tff(f115,plain,
! [X2: u,X0: d,X1: u] : ( s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) ),
inference(cnf_transformation,[],[f65]) ).
tff(f127,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_49,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))),
inference(cnf_transformation,[],[f92]) ).
tcf(c_50,negated_conjecture,
p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)),
inference(cnf_transformation,[],[f91]) ).
tcf(c_55,plain,
! [X0_u: u,X0_d: d,X1_u: u] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),X0_u),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),X1_u))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),X0_u),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),X1_u))),
inference(cnf_transformation,[],[f111]) ).
tcf(c_57,plain,
! [X0_d: d,X0_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum,X1_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0_mono_2Etyop_2Enum_2Enum,X1_mono_2Etyop_2Enum_2Enum))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1_mono_2Etyop_2Enum_2Enum,X0_mono_2Etyop_2Enum_2Enum))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X0_mono_2Etyop_2Enum_2Enum,X1_mono_2Etyop_2Enum_2Enum))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1_mono_2Etyop_2Enum_2Enum)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X0_mono_2Etyop_2Enum_2Enum)))))))),
inference(cnf_transformation,[],[f112]) ).
tcf(c_58,plain,
! [X0_u: u,X0_d: d,X1_u: u] : s(X0_d,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0_d,X0_u),s(X0_d,X1_u))) = s(X0_d,X0_u),
inference(cnf_transformation,[],[f115]) ).
tcf(c_67,plain,
! [X0_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool] :
( ( X0_mono_2Etyop_2Emin_2Ebool = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X0_mono_2Etyop_2Emin_2Ebool) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_218,plain,
! [X0_d: d,X0_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum,X1_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0_mono_2Etyop_2Enum_2Enum,X1_mono_2Etyop_2Enum_2Enum))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1_mono_2Etyop_2Enum_2Enum,X0_mono_2Etyop_2Enum_2Enum))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X0_mono_2Etyop_2Enum_2Enum,X1_mono_2Etyop_2Enum_2Enum))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1_mono_2Etyop_2Enum_2Enum)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X0_mono_2Etyop_2Enum_2Enum)))))),
inference(demodulation,[status(thm)],[c_57,c_55]) ).
tcf(c_489,plain,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1) = mono_2Ec_2Ebool_2ET_2E0,
inference(superposition,[status(thm)],[c_50,c_67]) ).
tcf(c_950,plain,
! [X0_d: d] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK2,sK1))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))),
inference(superposition,[status(thm)],[c_489,c_218]) ).
tcf(c_1391,plain,
! [X0_d: d] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0_d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))),
inference(demodulation,[status(thm)],[c_950,c_58]) ).
tcf(c_1392,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))),
inference(demodulation,[status(thm)],[c_49,c_1391]) ).
tcf(c_1393,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 17:37:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 0.65/1.29 % SZS status Started for theBenchmark.p
% 0.65/1.29 % SZS status Theorem for theBenchmark.p
% 0.65/1.29
% 0.65/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.65/1.29
% 0.65/1.29 % ------ iProver source info
% 0.65/1.29
% 0.65/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.65/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.65/1.29 % git: non_committed_changes: false
% 0.65/1.29
% 0.65/1.29 % ------ Parsing...
% 0.65/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.65/1.29 %
% 0.65/1.29
% 0.65/1.29 % ------ Preprocessing... sup_sim: 2 pe_s pe_e sup_sim: 0 pe_s pe_e %
% 0.65/1.29
% 0.65/1.29 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.65/1.29 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.65/1.29 %
% 0.65/1.29
% 0.65/1.29 % ------ Preprocessing...
% 0.65/1.29 % ------ Proving...
% 0.65/1.29 % ------ Problem Properties
% 0.65/1.29
% 0.65/1.29 %
% 0.65/1.29 % clauses 19
% 0.65/1.29 % conjectures 2
% 0.65/1.29 % EPR 7
% 0.65/1.29 % Horn 15
% 0.65/1.29 % unary 11
% 0.65/1.29 % binary 3
% 0.65/1.29 % lits 32
% 0.65/1.29 % lits eq 21
% 0.65/1.29 % fd_pure 1
% 0.65/1.29 % fd_pseudo 0
% 0.65/1.29 % fd_cond 2
% 0.65/1.29 % fd_pseudo_cond 2
% 0.65/1.29 % AC symbols 0
% 0.65/1.29
% 0.65/1.29 % ------ Schedule dynamic 5 is on
% 0.65/1.29
% 0.65/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.65/1.29
% 0.65/1.29
% 0.65/1.29 % ------
% 0.65/1.29 % Current options:
% 0.65/1.29 % ------
% 0.65/1.29
% 0.65/1.29
% 0.65/1.29 %
% 0.65/1.29
% 0.65/1.29 % ------ Proving...
% 0.65/1.29 %
% 0.65/1.29
% 0.65/1.29 % SZS status Theorem for theBenchmark.p
% 0.65/1.29
% 0.65/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 0.65/1.29
%------------------------------------------------------------------------------