TSTP Solution File: ITP127^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP127^1 : 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 : n014.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 22:52:36 EDT 2024
% Result : Theorem 22.18s 3.61s
% Output : Refutation 22.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 124
% Syntax : Number of formulae : 147 ( 25 unt; 117 typ; 0 def)
% Number of atoms : 181 ( 34 equ; 0 cnn)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 14 ( 9 ~; 2 |; 0 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 362 ( 361 >; 1 *; 0 +; 0 <<)
% Number of symbols : 110 ( 108 usr; 3 con; 0-6 aty)
% Number of variables : 69 ( 0 ^ 52 !; 2 ?; 69 :)
% ( 15 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
c: $tType ).
thf(type_def_6,type,
countable_Set_cset_c: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
monomo197243225tT_a_m: $tType ).
thf(type_def_9,type,
m: $tType ).
thf(type_def_10,type,
counta191869203tT_a_m: $tType ).
thf(func_def_0,type,
counta191869203tT_a_m: $tType ).
thf(func_def_1,type,
monomo197243225tT_a_m: $tType ).
thf(func_def_2,type,
countable_Set_cset_c: $tType ).
thf(func_def_3,type,
m: $tType ).
thf(func_def_4,type,
c: $tType ).
thf(func_def_5,type,
countable_Set_cin_c: c > countable_Set_cset_c > $o ).
thf(func_def_6,type,
counta472291938sert_c: c > countable_Set_cset_c > countable_Set_cset_c ).
thf(func_def_7,type,
comp_M864375327_a_m_c: ( monomo197243225tT_a_m > monomo197243225tT_a_m ) > ( c > monomo197243225tT_a_m ) > c > monomo197243225tT_a_m ).
thf(func_def_8,type,
comp_M1062614966_m_c_c: ( monomo197243225tT_a_m > c ) > ( c > monomo197243225tT_a_m ) > c > c ).
thf(func_def_9,type,
comp_M1944986301tT_a_m: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > monomo197243225tT_a_m ) > monomo197243225tT_a_m > m ).
thf(func_def_10,type,
comp_M750374444_m_m_c: ( monomo197243225tT_a_m > m ) > ( c > monomo197243225tT_a_m ) > c > m ).
thf(func_def_11,type,
comp_M750374454_m_m_m: ( monomo197243225tT_a_m > m ) > ( m > monomo197243225tT_a_m ) > m > m ).
thf(func_def_12,type,
comp_c1772230468_a_m_c: ( c > monomo197243225tT_a_m ) > ( c > c ) > c > monomo197243225tT_a_m ).
thf(func_def_13,type,
comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).
thf(func_def_14,type,
comp_c997395372tT_a_m: ( c > m ) > ( monomo197243225tT_a_m > c ) > monomo197243225tT_a_m > m ).
thf(func_def_15,type,
comp_c_m_c: ( c > m ) > ( c > c ) > c > m ).
thf(func_def_16,type,
comp_c_m_m: ( c > m ) > ( m > c ) > m > m ).
thf(func_def_17,type,
comp_m1038691662_a_m_c: ( m > monomo197243225tT_a_m ) > ( c > m ) > c > monomo197243225tT_a_m ).
thf(func_def_18,type,
comp_m_c_c: ( m > c ) > ( c > m ) > c > c ).
thf(func_def_19,type,
comp_m263856566tT_a_m: ( m > m ) > ( monomo197243225tT_a_m > m ) > monomo197243225tT_a_m > m ).
thf(func_def_20,type,
comp_m_m_c: ( m > m ) > ( c > m ) > c > m ).
thf(func_def_21,type,
comp_m_m_m: ( m > m ) > ( m > m ) > m > m ).
thf(func_def_22,type,
minus_1646763425cset_c: countable_Set_cset_c > countable_Set_cset_c > countable_Set_cset_c ).
thf(func_def_23,type,
if_Cou1542198912cset_c: $o > countable_Set_cset_c > countable_Set_cset_c > countable_Set_cset_c ).
thf(func_def_24,type,
if_c: $o > c > c > c ).
thf(func_def_25,type,
monomo2081011572_m_m_a: ( counta191869203tT_a_m > ( monomo197243225tT_a_m > m ) > m ) > counta191869203tT_a_m > ( monomo197243225tT_a_m > monomo197243225tT_a_m ) > monomo197243225tT_a_m ).
thf(func_def_26,type,
monomo463139869_c_m_a: ( countable_Set_cset_c > ( c > m ) > m ) > countable_Set_cset_c > ( c > monomo197243225tT_a_m ) > monomo197243225tT_a_m ).
thf(func_def_27,type,
monomo412532791tT_m_a: m > monomo197243225tT_a_m ).
thf(func_def_28,type,
monomo624345106et_a_m: monomo197243225tT_a_m > m ).
thf(func_def_29,type,
bot_bo1320844070cset_c: countable_Set_cset_c ).
thf(func_def_30,type,
ord_le1587667814cset_c: countable_Set_cset_c > countable_Set_cset_c > $o ).
thf(func_def_31,type,
ord_le1376176871cset_c: ( $o > countable_Set_cset_c ) > ( $o > countable_Set_cset_c ) > $o ).
thf(func_def_32,type,
ord_le15364698cset_c: countable_Set_cset_c > countable_Set_cset_c > $o ).
thf(func_def_33,type,
order_1683649299cset_c: ( countable_Set_cset_c > $o ) > countable_Set_cset_c ).
thf(func_def_34,type,
f: c > monomo197243225tT_a_m ).
thf(func_def_35,type,
mergec: countable_Set_cset_c > ( c > m ) > m ).
thf(func_def_36,type,
x: c ).
thf(func_def_40,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_43,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_44,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_45,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_46,type,
vNOT: $o > $o ).
thf(func_def_47,type,
vOR: $o > $o > $o ).
thf(func_def_48,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_49,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_50,type,
vIMP: $o > $o > $o ).
thf(func_def_51,type,
sP0: ( countable_Set_cset_c > $o ) > ( countable_Set_cset_c > $o ) > $o ).
thf(func_def_52,type,
sK1: countable_Set_cset_c > c ).
thf(func_def_53,type,
sK2: monomo197243225tT_a_m > m ).
thf(func_def_54,type,
sK3: countable_Set_cset_c > countable_Set_cset_c > c ).
thf(func_def_55,type,
sK4: countable_Set_cset_c > countable_Set_cset_c > c ).
thf(func_def_56,type,
sK5: ( monomo197243225tT_a_m > $o ) > m ).
thf(func_def_57,type,
sK6: countable_Set_cset_c > ( countable_Set_cset_c > $o ) > countable_Set_cset_c ).
thf(func_def_58,type,
sK7: countable_Set_cset_c > countable_Set_cset_c > c ).
thf(func_def_59,type,
sK8: countable_Set_cset_c > c > countable_Set_cset_c ).
thf(func_def_60,type,
sK9: countable_Set_cset_c > c > countable_Set_cset_c ).
thf(func_def_61,type,
sK10: ( countable_Set_cset_c > $o ) > ( countable_Set_cset_c > $o ) > countable_Set_cset_c ).
thf(func_def_62,type,
sK11: countable_Set_cset_c > ( countable_Set_cset_c > $o ) > countable_Set_cset_c ).
thf(func_def_63,type,
sK12: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_64,type,
sK13: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_65,type,
sK14: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_66,type,
sK15: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_67,type,
sK16: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_68,type,
sK17: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_69,type,
sK18: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_70,type,
sK19: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_71,type,
sK20: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_72,type,
sK21: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_73,type,
sK22: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_74,type,
sK23: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_75,type,
sK24: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_76,type,
sK25: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_77,type,
sK26: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_78,type,
sK27: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_79,type,
sK28: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_80,type,
sK29: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_81,type,
sK30: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_82,type,
sK31: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_83,type,
sK32: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_84,type,
sK33: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_85,type,
sK34: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_86,type,
sK35: ( countable_Set_cset_c > countable_Set_cset_c ) > countable_Set_cset_c ).
thf(func_def_88,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_89,type,
sK37: ( c > m ) > ( c > c ) > c ).
thf(func_def_90,type,
sK38: ( c > m ) > ( c > c ) > c > m ).
thf(func_def_91,type,
sK39: ( c > monomo197243225tT_a_m ) > ( c > c ) > c ).
thf(func_def_92,type,
sK40: ( c > monomo197243225tT_a_m ) > ( c > c ) > c > monomo197243225tT_a_m ).
thf(func_def_93,type,
sK41: ( c > m ) > ( c > m ) > c ).
thf(func_def_94,type,
sK42: ( c > m ) > ( c > m ) > m > m ).
thf(func_def_95,type,
sK43: ( c > m ) > ( c > monomo197243225tT_a_m ) > c ).
thf(func_def_96,type,
sK44: ( c > m ) > ( c > monomo197243225tT_a_m ) > monomo197243225tT_a_m > m ).
thf(func_def_97,type,
sK45: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > m ) > monomo197243225tT_a_m ).
thf(func_def_98,type,
sK46: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > m ) > m > m ).
thf(func_def_99,type,
sK47: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > monomo197243225tT_a_m ) > monomo197243225tT_a_m ).
thf(func_def_100,type,
sK48: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > monomo197243225tT_a_m ) > monomo197243225tT_a_m > m ).
thf(func_def_101,type,
sK49: ( c > m ) > ( c > m ) > c ).
thf(func_def_102,type,
sK50: ( c > m ) > ( c > m ) > c > c ).
thf(func_def_103,type,
sK51: ( c > m ) > ( m > m ) > c ).
thf(func_def_104,type,
sK52: ( c > m ) > ( m > m ) > c > m ).
thf(func_def_105,type,
sK53: ( c > monomo197243225tT_a_m ) > ( c > monomo197243225tT_a_m ) > c ).
thf(func_def_106,type,
sK54: ( c > monomo197243225tT_a_m ) > ( c > monomo197243225tT_a_m ) > c > c ).
thf(func_def_107,type,
sK55: ( c > m ) > ( monomo197243225tT_a_m > m ) > c ).
thf(func_def_108,type,
sK56: ( c > m ) > ( monomo197243225tT_a_m > m ) > c > monomo197243225tT_a_m ).
thf(func_def_109,type,
sK57: ( monomo197243225tT_a_m > m ) > ( m > m ) > monomo197243225tT_a_m ).
thf(func_def_110,type,
sK58: ( monomo197243225tT_a_m > m ) > ( m > m ) > monomo197243225tT_a_m > m ).
thf(func_def_111,type,
sK59: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > m ) > monomo197243225tT_a_m ).
thf(func_def_112,type,
sK60: ( monomo197243225tT_a_m > m ) > ( monomo197243225tT_a_m > m ) > monomo197243225tT_a_m > monomo197243225tT_a_m ).
thf(func_def_113,type,
sK61: countable_Set_cset_c > c ).
thf(func_def_114,type,
sK62: countable_Set_cset_c > c ).
thf(f52526,plain,
$false,
inference(subsumption_resolution,[],[f1156,f34304]) ).
thf(f34304,plain,
! [X0: c,X1: c > monomo197243225tT_a_m] : ( vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1) = vAPP(c,monomo197243225tT_a_m,X1,X0) ),
inference(forward_demodulation,[],[f34295,f1202]) ).
thf(f1202,plain,
! [X0: monomo197243225tT_a_m] : ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,vAPP(monomo197243225tT_a_m,m,sK2,X0)) = X0 ),
inference(cnf_transformation,[],[f1111]) ).
thf(f1111,plain,
! [X0: monomo197243225tT_a_m] : ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,vAPP(monomo197243225tT_a_m,m,sK2,X0)) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f835,f1110]) ).
thf(f1110,plain,
! [X0: monomo197243225tT_a_m] :
( ? [X1: m] : ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,X1) = X0 )
=> ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,vAPP(monomo197243225tT_a_m,m,sK2,X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
thf(f835,plain,
! [X0: monomo197243225tT_a_m] :
? [X1: m] : ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,X1) = X0 ),
inference(ennf_transformation,[],[f675]) ).
thf(f675,plain,
! [X0: monomo197243225tT_a_m] :
~ ! [X1: m] : ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,X1) != X0 ),
inference(rectify,[],[f85]) ).
thf(f85,axiom,
! [X7: monomo197243225tT_a_m] :
~ ! [X25: m] : ( vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,X25) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_nondetT_Oexhaust) ).
thf(f34295,plain,
! [X0: c,X1: c > monomo197243225tT_a_m] : ( vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1) = vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,vAPP(monomo197243225tT_a_m,m,sK2,vAPP(c,monomo197243225tT_a_m,X1,X0))) ),
inference(superposition,[],[f1202,f14200]) ).
thf(f14200,plain,
! [X0: c,X1: c > monomo197243225tT_a_m] : ( vAPP(monomo197243225tT_a_m,m,sK2,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1)) = vAPP(monomo197243225tT_a_m,m,sK2,vAPP(c,monomo197243225tT_a_m,X1,X0)) ),
inference(forward_demodulation,[],[f14199,f1873]) ).
thf(f1873,plain,
! [X0: monomo197243225tT_a_m] : ( vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,X0) = vAPP(monomo197243225tT_a_m,m,sK2,X0) ),
inference(superposition,[],[f1188,f1202]) ).
thf(f1188,plain,
! [X0: m] : ( vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,X0)) = X0 ),
inference(cnf_transformation,[],[f88]) ).
thf(f88,axiom,
! [X0: m] : ( vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,vAPP(m,monomo197243225tT_a_m,monomo412532791tT_m_a,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_nondetT_Osel) ).
thf(f14199,plain,
! [X0: c,X1: c > monomo197243225tT_a_m] : ( vAPP(monomo197243225tT_a_m,m,sK2,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1)) = vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,vAPP(c,monomo197243225tT_a_m,X1,X0)) ),
inference(forward_demodulation,[],[f14196,f1536]) ).
thf(f1536,plain,
! [X3: c,X0: monomo197243225tT_a_m > m,X1: c > monomo197243225tT_a_m] : ( vAPP(monomo197243225tT_a_m,m,X0,vAPP(c,monomo197243225tT_a_m,X1,X3)) = vAPP(c,m,vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,X0),X1),X3) ),
inference(equality_resolution,[],[f1392]) ).
thf(f1392,plain,
! [X2: c > m,X3: c,X0: monomo197243225tT_a_m > m,X1: c > monomo197243225tT_a_m] :
( ( vAPP(monomo197243225tT_a_m,m,X0,vAPP(c,monomo197243225tT_a_m,X1,X3)) = vAPP(c,m,X2,X3) )
| ( vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,X0),X1) != X2 ) ),
inference(cnf_transformation,[],[f978]) ).
thf(f978,plain,
! [X0: monomo197243225tT_a_m > m,X1: c > monomo197243225tT_a_m,X2: c > m,X3: c] :
( ( vAPP(monomo197243225tT_a_m,m,X0,vAPP(c,monomo197243225tT_a_m,X1,X3)) = vAPP(c,m,X2,X3) )
| ( vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,X0),X1) != X2 ) ),
inference(ennf_transformation,[],[f747]) ).
thf(f747,plain,
! [X0: monomo197243225tT_a_m > m,X1: c > monomo197243225tT_a_m,X2: c > m,X3: c] :
( ( vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,X0),X1) = X2 )
=> ( vAPP(monomo197243225tT_a_m,m,X0,vAPP(c,monomo197243225tT_a_m,X1,X3)) = vAPP(c,m,X2,X3) ) ),
inference(rectify,[],[f72]) ).
thf(f72,axiom,
! [X3: monomo197243225tT_a_m > m,X4: c > monomo197243225tT_a_m,X5: c > m,X18: c] :
( ( vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,X3),X4) = X5 )
=> ( vAPP(monomo197243225tT_a_m,m,X3,vAPP(c,monomo197243225tT_a_m,X4,X18)) = vAPP(c,m,X5,X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_comp__eq__dest__lhs) ).
thf(f14196,plain,
! [X0: c,X1: c > monomo197243225tT_a_m] : ( vAPP(c,m,vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,monomo624345106et_a_m),X1),X0) = vAPP(monomo197243225tT_a_m,m,sK2,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1)) ),
inference(superposition,[],[f1874,f1215]) ).
thf(f1215,plain,
! [X0: c,X1: c > m] : ( vAPP(sTfun(c,m),m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,m),m),mergec,vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1) = vAPP(c,m,X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: c,X1: c > m] : ( vAPP(sTfun(c,m),m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,m),m),mergec,vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,X0),bot_bo1320844070cset_c)),X1) = vAPP(c,m,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_mergec__single) ).
thf(f1874,plain,
! [X0: countable_Set_cset_c,X1: c > monomo197243225tT_a_m] : ( vAPP(sTfun(c,m),m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,m),m),mergec,X0),vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,monomo624345106et_a_m),X1)) = vAPP(monomo197243225tT_a_m,m,sK2,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),X0),X1)) ),
inference(backward_demodulation,[],[f1220,f1873]) ).
thf(f1220,plain,
! [X0: countable_Set_cset_c,X1: c > monomo197243225tT_a_m] : ( vAPP(sTfun(c,m),m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,m),m),mergec,X0),vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,monomo624345106et_a_m),X1)) = vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),X0),X1)) ),
inference(cnf_transformation,[],[f687]) ).
thf(f687,plain,
! [X0: countable_Set_cset_c,X1: c > monomo197243225tT_a_m] : ( vAPP(sTfun(c,m),m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,m),m),mergec,X0),vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,monomo624345106et_a_m),X1)) = vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),X0),X1)) ),
inference(rectify,[],[f8]) ).
thf(f8,axiom,
! [X2: countable_Set_cset_c,X1: c > monomo197243225tT_a_m] : ( vAPP(monomo197243225tT_a_m,m,monomo624345106et_a_m,vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),X2),X1)) = vAPP(sTfun(c,m),m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,m),m),mergec,X2),vAPP(sTfun(c,monomo197243225tT_a_m),sTfun(c,m),vAPP(sTfun(monomo197243225tT_a_m,m),sTfun(sTfun(c,monomo197243225tT_a_m),sTfun(c,m)),comp_M750374444_m_m_c,monomo624345106et_a_m),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_run__altc__nondet) ).
thf(f1156,plain,
vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,x),bot_bo1320844070cset_c)),f) != vAPP(c,monomo197243225tT_a_m,f,x),
inference(cnf_transformation,[],[f668]) ).
thf(f668,plain,
vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,x),bot_bo1320844070cset_c)),f) != vAPP(c,monomo197243225tT_a_m,f,x),
inference(flattening,[],[f317]) ).
thf(f317,negated_conjecture,
vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,x),bot_bo1320844070cset_c)),f) != vAPP(c,monomo197243225tT_a_m,f,x),
inference(negated_conjecture,[],[f316]) ).
thf(f316,conjecture,
vAPP(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m,vAPP(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m),vAPP(sTfun(countable_Set_cset_c,sTfun(sTfun(c,m),m)),sTfun(countable_Set_cset_c,sTfun(sTfun(c,monomo197243225tT_a_m),monomo197243225tT_a_m)),monomo463139869_c_m_a,mergec),vAPP(countable_Set_cset_c,countable_Set_cset_c,vAPP(c,sTfun(countable_Set_cset_c,countable_Set_cset_c),counta472291938sert_c,x),bot_bo1320844070cset_c)),f) = vAPP(c,monomo197243225tT_a_m,f,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ITP127^1 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 18:07:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (10238)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (10241)WARNING: value z3 for option sas not known
% 0.13/0.38 % (10242)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (10239)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (10241)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)
% 0.13/0.38 % (10240)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (10244)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)
% 0.13/0.38 % (10243)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)
% 0.13/0.38 % (10245)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)
% 0.19/0.41 % (10245)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.42 % Exception at run slice level
% 0.19/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.42 % Exception at run slice level
% 0.19/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.42 % Exception at run slice level
% 0.19/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.43 % (10260)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.19/0.43 % (10261)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)
% 0.19/0.44 % (10262)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)
% 0.19/0.46 % (10260)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.47 % (10261)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.47 % Exception at run slice level
% 0.19/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.49 % (10294)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)
% 22.18/3.60 % (10262)First to succeed.
% 22.18/3.60 % (10262)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10238"
% 22.18/3.61 % (10262)Refutation found. Thanks to Tanya!
% 22.18/3.61 % SZS status Theorem for theBenchmark
% 22.18/3.61 % SZS output start Proof for theBenchmark
% See solution above
% 22.18/3.61 % (10262)------------------------------
% 22.18/3.61 % (10262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.18/3.61 % (10262)Termination reason: Refutation
% 22.18/3.61
% 22.18/3.61 % (10262)Memory used [KB]: 21529
% 22.18/3.61 % (10262)Time elapsed: 3.167 s
% 22.18/3.61 % (10262)Instructions burned: 13141 (million)
% 22.18/3.61 % (10238)Success in time 3.238 s
%------------------------------------------------------------------------------