TSTP Solution File: ITP151^2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP151^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 22:53:49 EDT 2024
% Result : Theorem 3.92s 0.91s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 170
% Syntax : Number of formulae : 203 ( 25 unt; 160 typ; 0 def)
% Number of atoms : 200 ( 53 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 44 ( 21 ~; 10 |; 0 &; 0 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 302 ( 301 >; 1 *; 0 +; 0 <<)
% Number of symbols : 160 ( 157 usr; 4 con; 0-6 aty)
% Number of variables : 172 ( 0 ^ 35 !; 7 ?; 172 :)
% ( 130 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
nat: $tType ).
thf(type_def_7,type,
polyno1783536151e_poly: $tType > $tType ).
thf(type_def_8,type,
a: $tType ).
thf(type_def_9,type,
int: $tType ).
thf(func_def_0,type,
polyno1783536151e_poly: $tType > $tType ).
thf(func_def_1,type,
nat: $tType ).
thf(func_def_2,type,
int: $tType ).
thf(func_def_3,type,
a: $tType ).
thf(func_def_4,type,
type:
!>[X0: $tType] : $o ).
thf(func_def_5,type,
zero:
!>[X0: $tType] : $o ).
thf(func_def_6,type,
ord:
!>[X0: $tType] : $o ).
thf(func_def_7,type,
order:
!>[X0: $tType] : $o ).
thf(func_def_8,type,
group_add:
!>[X0: $tType] : $o ).
thf(func_def_9,type,
no_bot:
!>[X0: $tType] : $o ).
thf(func_def_10,type,
no_top:
!>[X0: $tType] : $o ).
thf(func_def_11,type,
semiring_1:
!>[X0: $tType] : $o ).
thf(func_def_12,type,
monoid_mult:
!>[X0: $tType] : $o ).
thf(func_def_13,type,
linorder:
!>[X0: $tType] : $o ).
thf(func_def_14,type,
preorder:
!>[X0: $tType] : $o ).
thf(func_def_15,type,
semiring_char_0:
!>[X0: $tType] : $o ).
thf(func_def_16,type,
wellorder:
!>[X0: $tType] : $o ).
thf(func_def_17,type,
dense_order:
!>[X0: $tType] : $o ).
thf(func_def_18,type,
linordered_idom:
!>[X0: $tType] : $o ).
thf(func_def_19,type,
linordered_field:
!>[X0: $tType] : $o ).
thf(func_def_20,type,
comm_monoid_diff:
!>[X0: $tType] : $o ).
thf(func_def_21,type,
semiring_1_cancel:
!>[X0: $tType] : $o ).
thf(func_def_22,type,
dense_linorder:
!>[X0: $tType] : $o ).
thf(func_def_23,type,
linordered_semidom:
!>[X0: $tType] : $o ).
thf(func_def_24,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
thf(func_def_25,type,
cancel1352612707id_add:
!>[X0: $tType] : $o ).
thf(func_def_26,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
thf(func_def_27,type,
linord1659791738miring:
!>[X0: $tType] : $o ).
thf(func_def_28,type,
semiri134348788visors:
!>[X0: $tType] : $o ).
thf(func_def_29,type,
archim1804426504_field:
!>[X0: $tType] : $o ).
thf(func_def_30,type,
canoni770627133id_add:
!>[X0: $tType] : $o ).
thf(func_def_31,type,
condit1656338222tinuum:
!>[X0: $tType] : $o ).
thf(func_def_32,type,
condit1037483654norder:
!>[X0: $tType] : $o ).
thf(func_def_33,type,
minus_minus:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_34,type,
zero_zero:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
suc: nat > nat ).
thf(func_def_36,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
thf(func_def_37,type,
ord_less:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_38,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_39,type,
polyno498386536degree:
!>[X0: $tType] : ( polyno1783536151e_poly(X0) > nat ) ).
thf(func_def_40,type,
polyno367318022egreen:
!>[X0: $tType] : ( polyno1783536151e_poly(X0) > nat > nat ) ).
thf(func_def_41,type,
polyno2122670676snpoly:
!>[X0: $tType] : ( polyno1783536151e_poly(X0) > $o ) ).
thf(func_def_42,type,
polyno86455060npolyh:
!>[X0: $tType] : ( polyno1783536151e_poly(X0) > nat > $o ) ).
thf(func_def_43,type,
power_power:
!>[X0: $tType] : ( X0 > nat > X0 ) ).
thf(func_def_44,type,
n: nat ).
thf(func_def_45,type,
p: polyno1783536151e_poly(a) ).
thf(func_def_49,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_50,type,
vNOT: $o > $o ).
thf(func_def_51,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_52,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_53,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_54,type,
vAND: $o > $o > $o ).
thf(func_def_55,type,
vIMP: $o > $o > $o ).
thf(func_def_56,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_57,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_58,type,
vOR: $o > $o > $o ).
thf(func_def_59,type,
sP0:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_60,type,
sP1:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_61,type,
sP2:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_62,type,
sP3:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_63,type,
sP4:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_64,type,
sP5: nat > ( nat > $o ) > $o ).
thf(func_def_65,type,
sP6: ( nat > nat > $o ) > $o ).
thf(func_def_66,type,
sP7:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > $o ) ).
thf(func_def_67,type,
sK8: nat > nat ).
thf(func_def_68,type,
sK9: nat > nat ).
thf(func_def_69,type,
sK10: nat > nat ).
thf(func_def_70,type,
sK11: ( nat > $o ) > nat ).
thf(func_def_71,type,
sK12:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_72,type,
sK13:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_73,type,
sK14:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_74,type,
sK15:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_75,type,
sK16:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_76,type,
sK17:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_77,type,
sK18:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_78,type,
sK19:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_79,type,
sK20:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_80,type,
sK21:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_81,type,
sK22:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_82,type,
sK23:
!>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_83,type,
sK24:
!>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 > X0 ) ).
thf(func_def_84,type,
sK25:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_85,type,
sK26:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_86,type,
sK27:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_87,type,
sK28:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_88,type,
sK29:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_89,type,
sK30:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_90,type,
sK31:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_91,type,
sK32:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_92,type,
sK33:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_93,type,
sK34:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_94,type,
sK35:
!>[X0: $tType] : ( ( nat > X0 ) > nat ) ).
thf(func_def_95,type,
sK36:
!>[X0: $tType] : ( ( nat > X0 ) > nat ) ).
thf(func_def_96,type,
sK37:
!>[X0: $tType] : ( ( nat > X0 ) > nat ) ).
thf(func_def_97,type,
sK38:
!>[X0: $tType] : ( ( nat > X0 ) > nat ) ).
thf(func_def_98,type,
sK39: int > nat ).
thf(func_def_99,type,
sK40: int > nat ).
thf(func_def_100,type,
sK41: int > nat ).
thf(func_def_101,type,
sK42: int > nat ).
thf(func_def_102,type,
sK43: nat > nat ).
thf(func_def_103,type,
sK44:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_104,type,
sK45:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_105,type,
sK46:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_106,type,
sK47:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_107,type,
sK48:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_108,type,
sK49:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_109,type,
sK50:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_110,type,
sK51:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_111,type,
sK52:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_112,type,
sK53:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_113,type,
sK54:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_114,type,
sK55:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_115,type,
sK56:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_116,type,
sK57:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_117,type,
sK58:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_118,type,
sK59:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_119,type,
sK60: ( nat > $o ) > nat ).
thf(func_def_120,type,
sK61: ( nat > $o ) > nat ).
thf(func_def_121,type,
sK62:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_122,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_123,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_124,type,
sK65: ( nat > $o ) > nat ).
thf(func_def_125,type,
sK66: ( nat > $o ) > nat ).
thf(func_def_126,type,
sK67: ( nat > $o ) > nat ).
thf(func_def_127,type,
sK68: ( nat > $o ) > nat ).
thf(func_def_128,type,
sK69: nat > nat > nat ).
thf(func_def_129,type,
sK70: nat > nat > nat ).
thf(func_def_130,type,
sK71: ( nat > nat > $o ) > nat ).
thf(func_def_131,type,
sK72: ( nat > nat > $o ) > nat ).
thf(func_def_132,type,
sK73: ( nat > nat > $o ) > nat ).
thf(func_def_133,type,
sK74: ( nat > nat > $o ) > nat ).
thf(func_def_134,type,
sK75:
!>[X0: $tType] : ( ( nat > X0 > X0 > $o ) > ( nat > X0 > $o ) > nat > X0 ) ).
thf(func_def_135,type,
sK76:
!>[X0: $tType] : ( ( nat > X0 > X0 > $o ) > ( nat > X0 > $o ) > X0 ) ).
thf(func_def_136,type,
sK77:
!>[X0: $tType] : ( ( nat > X0 > X0 > $o ) > ( nat > X0 > $o ) > nat ) ).
thf(func_def_137,type,
sK78: nat > ( nat > $o ) > nat ).
thf(func_def_138,type,
sK79: ( nat > $o ) > nat > nat ).
thf(func_def_139,type,
sK80: ( nat > nat > $o ) > nat ).
thf(func_def_140,type,
sK81: ( nat > nat > $o ) > nat ).
thf(func_def_141,type,
sK82: ( nat > nat > $o ) > nat ).
thf(func_def_142,type,
sK83: ( nat > nat > $o ) > nat ).
thf(func_def_143,type,
sK84:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_144,type,
sK85:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).
thf(func_def_145,type,
sK86:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_146,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_147,type,
sK87: nat > nat > nat ).
thf(func_def_148,type,
sK88: nat > nat > nat ).
thf(func_def_149,type,
sK89: ( nat > $o ) > nat > nat ).
thf(func_def_150,type,
sK90: ( nat > $o ) > nat > nat ).
thf(func_def_151,type,
sK91: ( nat > $o ) > nat > nat ).
thf(func_def_152,type,
sK92: ( nat > $o ) > nat > nat ).
thf(func_def_153,type,
sK93: ( nat > $o ) > nat > nat ).
thf(func_def_154,type,
sK94: ( nat > $o ) > nat > nat ).
thf(func_def_155,type,
sK95: ( nat > $o ) > nat > nat ).
thf(func_def_156,type,
sK96: ( nat > $o ) > nat > nat ).
thf(func_def_157,type,
sK97: nat > nat ).
thf(f17145,plain,
$false,
inference(subsumption_resolution,[],[f17133,f1355]) ).
thf(f1355,plain,
vAPP(nat,$o,vAPP(polyno1783536151e_poly(a),sTfun(nat,$o),polyno86455060npolyh(a),p),n) = $true,
inference(cnf_transformation,[],[f313]) ).
thf(f313,plain,
vAPP(nat,$o,vAPP(polyno1783536151e_poly(a),sTfun(nat,$o),polyno86455060npolyh(a),p),n) = $true,
inference(fool_elimination,[],[f312]) ).
thf(f312,plain,
vAPP(nat,$o,vAPP(polyno1783536151e_poly(a),sTfun(nat,$o),polyno86455060npolyh(a),p),n),
inference(rectify,[],[f303]) ).
thf(f303,axiom,
vAPP(nat,$o,vAPP(polyno1783536151e_poly(a),sTfun(nat,$o),polyno86455060npolyh(a),p),n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f17133,plain,
vAPP(nat,$o,vAPP(polyno1783536151e_poly(a),sTfun(nat,$o),polyno86455060npolyh(a),p),n) != $true,
inference(superposition,[],[f17087,f6575]) ).
thf(f6575,plain,
n = vAPP(nat,nat,suc,vAPP(nat,nat,sK8,n)),
inference(superposition,[],[f2297,f6523]) ).
thf(f6523,plain,
n = vAPP(nat,nat,suc,vAPP(nat,nat,sK43,n)),
inference(unit_resulting_resolution,[],[f1354,f1554]) ).
thf(f1554,plain,
! [X0: nat] :
( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) )
| ( vAPP(nat,nat,suc,vAPP(nat,nat,sK43,X0)) = X0 ) ),
inference(cnf_transformation,[],[f1284]) ).
thf(f1284,plain,
! [X0: nat] :
( ( vAPP(nat,nat,suc,vAPP(nat,nat,sK43,X0)) = X0 )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f1109,f1283]) ).
thf(f1283,plain,
! [X0: nat] :
( ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 )
=> ( vAPP(nat,nat,suc,vAPP(nat,nat,sK43,X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
thf(f1109,plain,
! [X0: nat] :
( ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) ) ),
inference(ennf_transformation,[],[f613]) ).
thf(f613,plain,
! [X0: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) )
=> ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 ) ),
inference(fool_elimination,[],[f612]) ).
thf(f612,plain,
! [X0: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0)
=> ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 ) ),
inference(rectify,[],[f94]) ).
thf(f94,axiom,
! [X1: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X1)
=> ? [X34: nat] : ( vAPP(nat,nat,suc,X34) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_gr0__implies__Suc) ).
thf(f1354,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n) = $true,
inference(cnf_transformation,[],[f311]) ).
thf(f311,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n) = $true,
inference(fool_elimination,[],[f310]) ).
thf(f310,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n),
inference(rectify,[],[f302]) ).
thf(f302,axiom,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f2297,plain,
! [X0: nat] : ( vAPP(nat,nat,suc,X0) = vAPP(nat,nat,suc,vAPP(nat,nat,sK8,vAPP(nat,nat,suc,X0))) ),
inference(unit_resulting_resolution,[],[f1360,f1374]) ).
thf(f1374,plain,
! [X0: nat] :
( ( vAPP(nat,nat,suc,vAPP(nat,nat,sK8,X0)) = X0 )
| ( zero_zero(nat) = X0 ) ),
inference(cnf_transformation,[],[f1211]) ).
thf(f1211,plain,
! [X0: nat] :
( ( vAPP(nat,nat,suc,vAPP(nat,nat,sK8,X0)) = X0 )
| ( zero_zero(nat) = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f924,f1210]) ).
thf(f1210,plain,
! [X0: nat] :
( ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 )
=> ( vAPP(nat,nat,suc,vAPP(nat,nat,sK8,X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
thf(f924,plain,
! [X0: nat] :
( ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 )
| ( zero_zero(nat) = X0 ) ),
inference(ennf_transformation,[],[f878]) ).
thf(f878,plain,
! [X0: nat] :
( ( zero_zero(nat) != X0 )
=> ~ ! [X1: nat] : ( vAPP(nat,nat,suc,X1) != X0 ) ),
inference(rectify,[],[f66]) ).
thf(f66,axiom,
! [X13: nat] :
( ( zero_zero(nat) != X13 )
=> ~ ! [X33: nat] : ( vAPP(nat,nat,suc,X33) != X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_old_Onat_Oexhaust) ).
thf(f1360,plain,
! [X0: nat] : ( zero_zero(nat) != vAPP(nat,nat,suc,X0) ),
inference(cnf_transformation,[],[f869]) ).
thf(f869,plain,
! [X0: nat] : ( zero_zero(nat) != vAPP(nat,nat,suc,X0) ),
inference(rectify,[],[f65]) ).
thf(f65,axiom,
! [X3: nat] : ( zero_zero(nat) != vAPP(nat,nat,suc,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_Zero__not__Suc) ).
thf(f17087,plain,
! [X0: nat] : ( $true != vAPP(nat,$o,vAPP(polyno1783536151e_poly(a),sTfun(nat,$o),polyno86455060npolyh(a),p),vAPP(nat,nat,suc,X0)) ),
inference(unit_resulting_resolution,[],[f1353,f1352,f1437]) ).
thf(f1437,plain,
! [X0: $tType,X2: nat,X1: polyno1783536151e_poly(X0)] :
( ( $true != vAPP(nat,$o,vAPP(polyno1783536151e_poly(X0),sTfun(nat,$o),polyno86455060npolyh(X0),X1),vAPP(nat,nat,suc,X2)) )
| ( zero_zero(nat) = vAPP(polyno1783536151e_poly(X0),nat,polyno498386536degree(X0),X1) )
| ( zero(X0) != $true ) ),
inference(cnf_transformation,[],[f978]) ).
thf(f978,plain,
! [X0: $tType] :
( ! [X1: polyno1783536151e_poly(X0),X2: nat] :
( ( zero_zero(nat) = vAPP(polyno1783536151e_poly(X0),nat,polyno498386536degree(X0),X1) )
| ( $true != vAPP(nat,$o,vAPP(polyno1783536151e_poly(X0),sTfun(nat,$o),polyno86455060npolyh(X0),X1),vAPP(nat,nat,suc,X2)) ) )
| ( zero(X0) != $true ) ),
inference(ennf_transformation,[],[f417]) ).
thf(f417,plain,
! [X0: $tType] :
( ( zero(X0) = $true )
=> ! [X1: polyno1783536151e_poly(X0),X2: nat] :
( ( $true = vAPP(nat,$o,vAPP(polyno1783536151e_poly(X0),sTfun(nat,$o),polyno86455060npolyh(X0),X1),vAPP(nat,nat,suc,X2)) )
=> ( zero_zero(nat) = vAPP(polyno1783536151e_poly(X0),nat,polyno498386536degree(X0),X1) ) ) ),
inference(fool_elimination,[],[f416]) ).
thf(f416,plain,
! [X0: $tType] :
( zero(X0)
=> ! [X1: polyno1783536151e_poly(X0),X2: nat] :
( vAPP(nat,$o,vAPP(polyno1783536151e_poly(X0),sTfun(nat,$o),polyno86455060npolyh(X0),X1),vAPP(nat,nat,suc,X2))
=> ( zero_zero(nat) = vAPP(polyno1783536151e_poly(X0),nat,polyno498386536degree(X0),X1) ) ) ),
inference(rectify,[],[f34]) ).
thf(f34,axiom,
! [X0: $tType] :
( zero(X0)
=> ! [X20: polyno1783536151e_poly(X0),X1: nat] :
( vAPP(nat,$o,vAPP(polyno1783536151e_poly(X0),sTfun(nat,$o),polyno86455060npolyh(X0),X20),vAPP(nat,nat,suc,X1))
=> ( zero_zero(nat) = vAPP(polyno1783536151e_poly(X0),nat,polyno498386536degree(X0),X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_degree__isnpolyh__Suc) ).
thf(f1352,plain,
zero_zero(nat) != vAPP(polyno1783536151e_poly(a),nat,polyno498386536degree(a),p),
inference(cnf_transformation,[],[f866]) ).
thf(f866,plain,
zero_zero(nat) != vAPP(polyno1783536151e_poly(a),nat,polyno498386536degree(a),p),
inference(flattening,[],[f305]) ).
thf(f305,negated_conjecture,
zero_zero(nat) != vAPP(polyno1783536151e_poly(a),nat,polyno498386536degree(a),p),
inference(negated_conjecture,[],[f304]) ).
thf(f304,conjecture,
zero_zero(nat) = vAPP(polyno1783536151e_poly(a),nat,polyno498386536degree(a),p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(f1353,plain,
zero(a) = $true,
inference(cnf_transformation,[],[f309]) ).
thf(f309,plain,
zero(a) = $true,
inference(fool_elimination,[],[f308]) ).
thf(f308,plain,
zero(a),
inference(rectify,[],[f301]) ).
thf(f301,axiom,
zero(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP151^2 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat May 18 18:02:23 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % (9237)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (9240)WARNING: value z3 for option sas not known
% 0.15/0.38 % (9241)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (9242)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)
% 0.15/0.38 % (9238)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (9243)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)
% 0.15/0.38 % (9239)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (9240)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)
% 0.15/0.38 % (9244)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)
% 0.15/0.41 % (9244)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.41 % Exception at run slice level
% 0.15/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.41 % Exception at run slice level
% 0.21/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.41 % Exception at run slice level
% 0.21/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.43 % (9245)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.43 % (9246)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)
% 0.21/0.43 % (9247)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)
% 0.21/0.45 % (9245)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.45 % (9246)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.48 % (9248)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 3.92/0.91 % (9246)First to succeed.
% 3.92/0.91 % (9246)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9237"
% 3.92/0.91 % (9246)Refutation found. Thanks to Tanya!
% 3.92/0.91 % SZS status Theorem for theBenchmark
% 3.92/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/0.91 % (9246)------------------------------
% 3.92/0.91 % (9246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.92/0.91 % (9246)Termination reason: Refutation
% 3.92/0.91
% 3.92/0.91 % (9246)Memory used [KB]: 5044
% 3.92/0.91 % (9246)Time elapsed: 0.484 s
% 3.92/0.91 % (9246)Instructions burned: 1662 (million)
% 3.92/0.91 % (9237)Success in time 0.552 s
%------------------------------------------------------------------------------