%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP010_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 : n008.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 01:47:38 PM UTC 2026
% Result : Theorem 0.66s 16.50s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f403ERROR: Could not build tree for root c_189ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
tyop_2Emin_2Ebool: d ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( mono_2Etyop_2Emin_2Ebool * ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) ) > $o ).
tff(pred_def_4,type,
sP2: ( mono_2Etyop_2Emin_2Ebool * ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) ) > $o ).
tff(pred_def_5,type,
sP3: ( mono_2Etyop_2Emin_2Ebool * ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) ) > $o ).
tff(pred_def_6,type,
sP4: ( mono_2Etyop_2Emin_2Ebool * ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) ) > $o ).
tff(pred_def_7,type,
sP5: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_9,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_11,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_13,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_17,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_18,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_19,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_20,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_21,type,
c_2Ecardinal_2Ecardleq_2E0: u ).
tff(func_def_22,type,
c_2Ecardinal_2Ecardleq_2E2: ( du * du ) > u ).
tff(func_def_23,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_24,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_25,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_26,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_27,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_28,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_29,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_30,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_31,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_32,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_33,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_34,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_35,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_36,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_37,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_38,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_39,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_40,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_41,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_42,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_43,type,
sK6: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_44,type,
sK7: ( u * d ) > u ).
tff(func_def_45,type,
sK8: ( u * d ) > u ).
tff(func_def_46,type,
sK9: d ).
tff(func_def_47,type,
sK10: d ).
tff(func_def_48,type,
sK11: u ).
tff(func_def_49,type,
sK12: u ).
tcf(c_164,negated_conjecture,
p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK12))))),
inference(cnf_transformation,[],[f401]) ).
tcf(c_165,negated_conjecture,
~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK12))))),
inference(cnf_transformation,[],[f403]) ).
tcf(c_189,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_165,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP010_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/15.44 % Computer : n008.cluster.edu
% 0.16/15.44 % Model : x86_64 x86_64
% 0.16/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.44 % Memory : 8046.5625MB
% 0.16/15.44 % OS : Linux 6.8.0-71-generic
% 0.16/15.44 % CPULimit : 300
% 0.16/15.44 % WCLimit : 300
% 0.16/15.44 % DateTime : Wed Sep 23 17:35:56 UTC 2026
% 0.16/15.45 % CPUTime :
% 0.16/15.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/15.49 Running first-order theorem proving
% 0.16/15.49 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
% 0.21/15.50
% 0.21/15.50 % ======== iProver multi-core TPTP/SMT =========
% 0.21/15.50
% 0.21/15.50 % Detected problem language: tptp
% 0.21/15.52 % Proving...
% 0.66/16.50 % SZS status Started for theBenchmark.p
% 0.66/16.50 % SZS status Theorem for theBenchmark.p
% 0.66/16.50
% 0.66/16.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.66/16.50
% 0.66/16.50 % ------ iProver source info
% 0.66/16.50
% 0.66/16.50 % git: date: 2026-07-19 20:42:38 +0200
% 0.66/16.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.66/16.50 % git: non_committed_changes: false
% 0.66/16.50
% 0.66/16.50 % ------ Parsing...
% 0.66/16.50 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.66/16.50 %
% 0.66/16.50
% 0.66/16.50 % ------ Preprocessing...%
% 0.66/16.50
% 0.66/16.50 % SZS status Theorem for theBenchmark.p
% 0.66/16.50
% 0.66/16.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.66/16.50
% 0.66/16.50
%------------------------------------------------------------------------------