TSTP Solution File: COM163^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM163^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : 300s
% DateTime : Mon May 20 19:12:46 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 186
% Syntax : Number of formulae : 197 ( 14 unt; 183 typ; 0 def)
% Number of atoms : 48 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 431 ( 430 >; 1 *; 0 +; 0 <<)
% Number of symbols : 180 ( 177 usr; 6 con; 0-6 aty)
% Number of variables : 201 ( 0 ^ 0 !; 0 ?; 201 :)
% ( 201 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
itself: $tType > $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
binDag_Mirabelle_dag: $tType ).
thf(type_def_8,type,
simpl_ref: $tType ).
thf(type_def_9,type,
nat: $tType ).
thf(type_def_10,type,
set: $tType > $tType ).
thf(func_def_0,type,
binDag_Mirabelle_dag: $tType ).
thf(func_def_1,type,
simpl_ref: $tType ).
thf(func_def_2,type,
set: $tType > $tType ).
thf(func_def_3,type,
nat: $tType ).
thf(func_def_4,type,
itself: $tType > $tType ).
thf(func_def_5,type,
type:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_6,type,
field:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_7,type,
ord:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_8,type,
order:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_9,type,
no_bot:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_10,type,
no_top:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_11,type,
linorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_12,type,
preorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_13,type,
zero_neq_one:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_14,type,
wellorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_15,type,
zero_less_one:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_16,type,
division_ring:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_17,type,
semidom_divide:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_18,type,
dense_order:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_19,type,
linordered_idom:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_20,type,
linordered_field:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_21,type,
dense_linorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_22,type,
linordered_semidom:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_23,type,
ordered_ab_group_add:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_24,type,
linord219039673up_add:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_25,type,
linord1659791738miring:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_26,type,
canoni770627133id_add:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_27,type,
condit1656338222tinuum:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_28,type,
condit1037483654norder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_29,type,
binDag_Mirabelle_DAG: binDag_Mirabelle_dag > $o ).
thf(func_def_30,type,
binDag476092410e_Node: binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag ).
thf(func_def_31,type,
binDag_Mirabelle_Tip: binDag_Mirabelle_dag ).
thf(func_def_32,type,
binDag1297733282se_dag:
!>[X0: $tType] : ( X0 > ( binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 ) > binDag_Mirabelle_dag > X0 ) ).
thf(func_def_33,type,
binDag1442713106ec_dag:
!>[X0: $tType] : ( X0 > ( binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 > X0 > X0 ) > binDag_Mirabelle_dag > X0 ) ).
thf(func_def_34,type,
binDag1924123185ze_dag: binDag_Mirabelle_dag > nat ).
thf(func_def_35,type,
binDag1380252983set_of: binDag_Mirabelle_dag > set(simpl_ref) ).
thf(func_def_36,type,
binDag786255756subdag: binDag_Mirabelle_dag > binDag_Mirabelle_dag > $o ).
thf(func_def_37,type,
one_one:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
sgn_sgn:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_39,type,
uminus_uminus:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_40,type,
zero_zero:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_42,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_43,type,
ord_Least:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_44,type,
ord_less:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_45,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_46,type,
order_antimono:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).
thf(func_def_47,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).
thf(func_def_48,type,
ordering:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_49,type,
type2:
!>[X0: $tType] : itself(X0) ).
thf(func_def_50,type,
divide_divide:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_51,type,
zero_neq_one_of_bool:
!>[X0: $tType] : ( $o > X0 ) ).
thf(func_def_52,type,
collect:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).
thf(func_def_53,type,
member:
!>[X0: $tType] : ( X0 > set(X0) > $o ) ).
thf(func_def_54,type,
x: binDag_Mirabelle_dag ).
thf(func_def_55,type,
y: binDag_Mirabelle_dag ).
thf(func_def_56,type,
z: binDag_Mirabelle_dag ).
thf(func_def_60,type,
vOR: $o > $o > $o ).
thf(func_def_61,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_62,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_63,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_64,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_65,type,
vAND: $o > $o > $o ).
thf(func_def_66,type,
vNOT: $o > $o ).
thf(func_def_67,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_68,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_69,type,
vIMP: $o > $o > $o ).
thf(func_def_70,type,
sP0:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_71,type,
sP1:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_72,type,
sP2:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_73,type,
sP3:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_74,type,
sP4:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_75,type,
sP5:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_76,type,
sP6:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).
thf(func_def_77,type,
sK7: binDag_Mirabelle_dag > binDag_Mirabelle_dag ).
thf(func_def_78,type,
sK8: binDag_Mirabelle_dag > simpl_ref ).
thf(func_def_79,type,
sK9: binDag_Mirabelle_dag > binDag_Mirabelle_dag ).
thf(func_def_80,type,
sK10:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_81,type,
sK11:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_82,type,
sK12:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_83,type,
sK13:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_84,type,
sK14:
!>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_85,type,
sK15:
!>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 > X0 ) ).
thf(func_def_86,type,
sK16:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_87,type,
sK17:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_88,type,
sK18:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_89,type,
sK19:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_90,type,
sK20:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_91,type,
sK21:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_92,type,
sK22:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_93,type,
sK23:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_94,type,
sK24:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_95,type,
sK25:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_96,type,
sK26:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_97,type,
sK27:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_98,type,
sK28:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_99,type,
sK29:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_100,type,
sK30:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_101,type,
sK31:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_102,type,
sK32:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_103,type,
sK33:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_104,type,
sK34:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_105,type,
sK35:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_106,type,
sK36:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_107,type,
sK37:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_108,type,
sK38:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_109,type,
sK39:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_110,type,
sK40:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_111,type,
sK41:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_112,type,
sK42:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_113,type,
sK43:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_114,type,
sK44:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_115,type,
sK45:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_116,type,
sK46:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_117,type,
sK47:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_118,type,
sK48:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_119,type,
sK49:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_120,type,
sK50:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_121,type,
sK51:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_122,type,
sK52:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_123,type,
sK53:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_124,type,
sK54:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_125,type,
sK55:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_126,type,
sK56:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_127,type,
sK57:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_128,type,
sK58:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_129,type,
sK59:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_130,type,
sK60:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_131,type,
sK61:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_132,type,
sK62:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_133,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_134,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_135,type,
sK65:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_136,type,
sK66:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_137,type,
sK67:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_138,type,
sK68:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_139,type,
sK69:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_140,type,
sK70:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_141,type,
sK71:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_142,type,
sK72:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_143,type,
sK73:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_144,type,
sK74:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_145,type,
sK75:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_146,type,
sK76:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_147,type,
sK77:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_148,type,
sK78:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_149,type,
sK79:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_150,type,
sK80:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_151,type,
sK81:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_152,type,
sK82:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_153,type,
sK83:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_154,type,
sK84:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_155,type,
sK85:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_156,type,
sK86: ( binDag_Mirabelle_dag > $o ) > binDag_Mirabelle_dag ).
thf(func_def_157,type,
sK87: ( binDag_Mirabelle_dag > $o ) > simpl_ref ).
thf(func_def_158,type,
sK88: ( binDag_Mirabelle_dag > $o ) > binDag_Mirabelle_dag ).
thf(func_def_159,type,
sK89:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_160,type,
sK90:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 ) ).
thf(func_def_161,type,
sK91:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_162,type,
sK92:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_163,type,
sK93:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_164,type,
sK94:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_165,type,
sK95:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 ) ).
thf(func_def_166,type,
sK96:
!>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).
thf(func_def_167,type,
sK97:
!>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).
thf(func_def_168,type,
sK98:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_169,type,
sK99:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_170,type,
sK100:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_171,type,
sK101:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_172,type,
sK102:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_173,type,
sK103:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_174,type,
sK104:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_175,type,
sK105:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_176,type,
sK106:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_177,type,
sK107:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_178,type,
sK108:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_180,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(f2514,plain,
$false,
inference(subsumption_resolution,[],[f2513,f1359]) ).
thf(f1359,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z) != $true,
inference(cnf_transformation,[],[f829]) ).
thf(f829,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z) != $true,
inference(flattening,[],[f288]) ).
thf(f288,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z) != $true,
inference(fool_elimination,[],[f287]) ).
thf(f287,plain,
~ vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z),
inference(rectify,[],[f284]) ).
thf(f284,negated_conjecture,
~ vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z),
inference(negated_conjecture,[],[f283]) ).
thf(f283,conjecture,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f2513,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),x),z) = $true,
inference(forward_demodulation,[],[f1717,f1360]) ).
thf(f1360,plain,
x = y,
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
x = y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_True) ).
thf(f1717,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),y),z) = $true,
inference(cnf_transformation,[],[f826]) ).
thf(f826,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),y),z) = $true,
inference(fool_elimination,[],[f825]) ).
thf(f825,plain,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),y),z),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(binDag_Mirabelle_dag,$o,vAPP(binDag_Mirabelle_dag,sTfun(binDag_Mirabelle_dag,$o),ord_less_eq(binDag_Mirabelle_dag),y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_y__z) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM163^1 : TPTP v8.2.0. Released v7.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 10:33:07 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (7633)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (7640)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40 % (7636)WARNING: value z3 for option sas not known
% 0.14/0.40 % (7637)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (7635)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (7638)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40 % (7639)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 % (7636)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (7634)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.44 % (7640)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.45 % Exception at run slice level
% 0.20/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.46 % Exception at run slice level
% 0.20/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.47 % (7642)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.47 % (7641)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.48 % Exception at run slice level
% 0.20/0.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.50 % (7643)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.50 % (7636)First to succeed.
% 0.20/0.50 % (7636)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7633"
% 0.20/0.50 % (7636)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (7636)------------------------------
% 0.20/0.50 % (7636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.50 % (7636)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (7636)Memory used [KB]: 2415
% 0.20/0.50 % (7636)Time elapsed: 0.100 s
% 0.20/0.50 % (7636)Instructions burned: 181 (million)
% 0.20/0.50 % (7633)Success in time 0.137 s
%------------------------------------------------------------------------------