TSTP Solution File: SEU903^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU903^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue May 21 04:06:59 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 46
% Syntax : Number of formulae : 214 ( 11 unt; 28 typ; 0 def)
% Number of atoms : 2525 ( 469 equ; 0 cnn)
% Maximal formula atoms : 44 ( 13 avg)
% Number of connectives : 819 ( 304 ~; 320 |; 130 &; 0 @)
% ( 8 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 182 ( 181 >; 1 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 12 con; 0-6 aty)
% Number of variables : 327 ( 0 ^ 255 !; 66 ?; 327 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
a: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_6,type,
sP0: ( g > $o ) > ( g > g ) > $o ).
thf(func_def_7,type,
sP1: ( a > $o ) > ( a > a ) > $o ).
thf(func_def_8,type,
sK2: ( a > $o ) > ( a > a ) > a ).
thf(func_def_9,type,
sK3: ( g > $o ) > ( g > g ) > g ).
thf(func_def_10,type,
sK4: g > b ).
thf(func_def_11,type,
sK5: b > a ).
thf(func_def_12,type,
sK6: g > $o ).
thf(func_def_13,type,
sK7: g > g ).
thf(func_def_14,type,
sK8: b > $o ).
thf(func_def_15,type,
sK9: b > b ).
thf(func_def_16,type,
sK10: a > $o ).
thf(func_def_17,type,
sK11: a > a ).
thf(func_def_18,type,
sK12: g ).
thf(func_def_19,type,
sK13: g ).
thf(func_def_21,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_22,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_23,type,
vAND: $o > $o > $o ).
thf(func_def_24,type,
vOR: $o > $o > $o ).
thf(func_def_25,type,
vIMP: $o > $o > $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_27,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f322,plain,
$false,
inference(avatar_sat_refutation,[],[f91,f129,f180,f229,f239,f271,f277,f280,f283,f286,f288,f290,f292,f294,f296,f298,f300,f302,f304,f306,f317,f321]) ).
thf(f321,plain,
( spl14_5
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f320]) ).
thf(f320,plain,
( $false
| spl14_5
| ~ spl14_6 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f278,f281,f284,f227]) ).
thf(f227,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) = vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f226,plain,
( spl14_6
<=> ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) = vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
thf(f284,plain,
$true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7),
inference(subsumption_resolution,[],[f142,f27]) ).
thf(f142,plain,
( ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| ( $true != vAPP(g,$o,sK6,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,sK6),sK7)) ) ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f139,plain,
( ( $true != $true )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| ( $true != vAPP(g,$o,sK6,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,sK6),sK7)) ) ),
inference(superposition,[],[f28,f29]) ).
thf(f281,plain,
$true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7),
inference(subsumption_resolution,[],[f166,f27]) ).
thf(f166,plain,
( ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| ( $true != vAPP(g,$o,sK6,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,sK6),sK7)) ) ),
inference(trivial_inequality_removal,[],[f159]) ).
thf(f159,plain,
( ( $true = $false )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| ( $true != vAPP(g,$o,sK6,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,sK6),sK7)) ) ),
inference(superposition,[],[f141,f29]) ).
thf(f278,plain,
$true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7),
inference(subsumption_resolution,[],[f164,f27]) ).
thf(f164,plain,
( ( $true != vAPP(g,$o,sK6,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,sK6),sK7)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f161,plain,
( ( $true = $false )
| ( $true != vAPP(g,$o,sK6,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,sK6),sK7)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
inference(superposition,[],[f29,f141]) ).
thf(f232,plain,
( ( $false = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| spl14_5 ),
inference(trivial_inequality_removal,[],[f231]) ).
thf(f231,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| spl14_5 ),
inference(superposition,[],[f224,f4]) ).
thf(f236,plain,
( ( $false = vAPP(b,$o,sK8,vAPP(g,b,sK4,sK13)) )
| spl14_5 ),
inference(trivial_inequality_removal,[],[f235]) ).
thf(f235,plain,
( ( $true != $true )
| ( $false = vAPP(b,$o,sK8,vAPP(g,b,sK4,sK13)) )
| spl14_5 ),
inference(superposition,[],[f233,f4]) ).
thf(f237,plain,
( ( $true != vAPP(g,$o,sK6,sK13) )
| spl14_5 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f234,plain,
( ( $true != $true )
| ( $true != vAPP(g,$o,sK6,sK13) )
| spl14_5 ),
inference(superposition,[],[f233,f31]) ).
thf(f233,plain,
( ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,sK13)) )
| spl14_5 ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f230,plain,
( ( $true != $true )
| ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,sK13)) )
| spl14_5 ),
inference(superposition,[],[f224,f35]) ).
thf(f224,plain,
( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| spl14_5 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f222,plain,
( spl14_5
<=> ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
thf(f218,plain,
! [X2: g,X0: g,X1: g > g] :
( ( vAPP(g,g,X1,X0) != X2 )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X2)),X1) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) )
| ( vAPP(g,sTfun(g,$o),vEQ(g),X0) != vAPP(g,sTfun(g,$o),vEQ(g),X2) ) ),
inference(constrained_superposition,[],[f143,f114]) ).
thf(f143,plain,
! [X0: g,X1: g > g] :
( ( vAPP(g,g,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1)) != X0 )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f138]) ).
thf(f138,plain,
! [X0: g,X1: g > g] :
( ( $true != vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(g,g,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1))) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(primitive_instantiation,[],[f28]) ).
thf(f217,plain,
! [X2: a,X0: a,X1: a > a] :
( ( vAPP(a,a,X1,X0) != X2 )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X2)),X1) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) )
| ( vAPP(a,sTfun(a,$o),vEQ(a),X0) != vAPP(a,sTfun(a,$o),vEQ(a),X2) ) ),
inference(constrained_superposition,[],[f122,f110]) ).
thf(f122,plain,
! [X0: a,X1: a > a] :
( ( vAPP(a,a,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1)) != X0 )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f117]) ).
thf(f117,plain,
! [X0: a,X1: a > a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(a,a,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1))) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(primitive_instantiation,[],[f26]) ).
thf(f212,plain,
! [X0: g,X1: g > g] :
( ( $false = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) )
| ( vAPP(g,g,X1,X0) != X0 ) ),
inference(trivial_inequality_removal,[],[f211]) ).
thf(f211,plain,
! [X0: g,X1: g > g] :
( ( $true != $true )
| ( vAPP(g,g,X1,X0) != X0 )
| ( $false = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(superposition,[],[f207,f4]) ).
thf(f207,plain,
! [X0: g,X1: g > g] :
( ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) )
| ( vAPP(g,g,X1,X0) != X0 ) ),
inference(equality_proxy_clausification,[],[f206]) ).
thf(f206,plain,
! [X0: g,X1: g > g] :
( ( $true != vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(g,g,X1,X0)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(duplicate_literal_removal,[],[f202]) ).
thf(f202,plain,
! [X0: g,X1: g > g] :
( ( $true != vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(g,g,X1,X0)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(superposition,[],[f28,f114]) ).
thf(f209,plain,
! [X0: g,X1: g > g] :
( ( vAPP(g,g,X1,X0) != X0 )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f208]) ).
thf(f208,plain,
! [X0: g,X1: g > g] :
( ( $false = vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(g,g,X1,X0)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(duplicate_literal_removal,[],[f201]) ).
thf(f201,plain,
! [X0: g,X1: g > g] :
( ( $false = vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(g,g,X1,X0)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(superposition,[],[f141,f114]) ).
thf(f200,plain,
! [X2: g,X0: g,X1: g > g] :
( ( X0 = X2 )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X2)),X1) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) )
| ( vAPP(g,sTfun(g,$o),vEQ(g),X0) != vAPP(g,sTfun(g,$o),vEQ(g),X2) ) ),
inference(constrained_superposition,[],[f114,f114]) ).
thf(f114,plain,
! [X0: g,X1: g > g] :
( ( vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) = X0 )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f113]) ).
thf(f113,plain,
! [X0: g,X1: g > g] :
( ( $true = vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(primitive_instantiation,[],[f27]) ).
thf(f195,plain,
! [X0: a,X1: a > a] :
( ( $false = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) )
| ( vAPP(a,a,X1,X0) != X0 ) ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f194,plain,
! [X0: a,X1: a > a] :
( ( $true != $true )
| ( vAPP(a,a,X1,X0) != X0 )
| ( $false = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(superposition,[],[f190,f4]) ).
thf(f190,plain,
! [X0: a,X1: a > a] :
( ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) )
| ( vAPP(a,a,X1,X0) != X0 ) ),
inference(equality_proxy_clausification,[],[f189]) ).
thf(f189,plain,
! [X0: a,X1: a > a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(a,a,X1,X0)) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(duplicate_literal_removal,[],[f185]) ).
thf(f185,plain,
! [X0: a,X1: a > a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(a,a,X1,X0)) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(superposition,[],[f26,f110]) ).
thf(f192,plain,
! [X0: a,X1: a > a] :
( ( vAPP(a,a,X1,X0) != X0 )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f191]) ).
thf(f191,plain,
! [X0: a,X1: a > a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(a,a,X1,X0)) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(duplicate_literal_removal,[],[f184]) ).
thf(f184,plain,
! [X0: a,X1: a > a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(a,a,X1,X0)) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(superposition,[],[f120,f110]) ).
thf(f183,plain,
! [X2: a,X0: a,X1: a > a] :
( ( X0 = X2 )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X2)),X1) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) )
| ( vAPP(a,sTfun(a,$o),vEQ(a),X0) != vAPP(a,sTfun(a,$o),vEQ(a),X2) ) ),
inference(constrained_superposition,[],[f110,f110]) ).
thf(f110,plain,
! [X0: a,X1: a > a] :
( ( vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) = X0 )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f109]) ).
thf(f109,plain,
! [X0: a,X1: a > a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1)) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(primitive_instantiation,[],[f25]) ).
thf(f167,plain,
! [X0: g,X1: g > g] :
( ( vAPP(g,g,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1)) != X0 )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f158]) ).
thf(f158,plain,
! [X0: g,X1: g > g] :
( ( $false = vAPP(g,$o,vAPP(g,sTfun(g,$o),vEQ(g),X0),vAPP(g,g,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1))) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,vAPP(g,sTfun(g,$o),vEQ(g),X0)),X1) ) ),
inference(primitive_instantiation,[],[f141]) ).
thf(f141,plain,
! [X0: g > $o,X1: g > g] :
( ( $false = vAPP(g,$o,X0,vAPP(g,g,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X0),X1))) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f140,plain,
! [X0: g > $o,X1: g > g] :
( ( $true != $true )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X0),X1) )
| ( $false = vAPP(g,$o,X0,vAPP(g,g,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X0),X1))) ) ),
inference(superposition,[],[f28,f4]) ).
thf(f155,plain,
! [X0: a,X1: a > a] :
( ( vAPP(a,a,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1)) != X0 )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(equality_proxy_clausification,[],[f146]) ).
thf(f146,plain,
! [X0: a,X1: a > a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),vAPP(a,a,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1))) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,vAPP(a,sTfun(a,$o),vEQ(a),X0)),X1) ) ),
inference(primitive_instantiation,[],[f120]) ).
thf(f120,plain,
! [X0: a > $o,X1: a > a] :
( ( $false = vAPP(a,$o,X0,vAPP(a,a,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X0),X1))) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f119,plain,
! [X0: a > $o,X1: a > a] :
( ( $true != $true )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X0),X1) )
| ( $false = vAPP(a,$o,X0,vAPP(a,a,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X0),X1))) ) ),
inference(superposition,[],[f26,f4]) ).
thf(f28,plain,
! [X0: g > g,X1: g > $o] :
( ( $true != vAPP(g,$o,X1,vAPP(g,g,X0,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X1),X0))) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X1),X0) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: g > g,X1: g > $o] :
( ( ( $true != vAPP(g,$o,X1,vAPP(g,g,X0,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X1),X0))) )
& ( $true = vAPP(g,$o,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X1),X0)) ) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f17,f18]) ).
thf(f18,plain,
! [X0: g > g,X1: g > $o] :
( ? [X2: g] :
( ( $true != vAPP(g,$o,X1,vAPP(g,g,X0,X2)) )
& ( $true = vAPP(g,$o,X1,X2) ) )
=> ( ( $true != vAPP(g,$o,X1,vAPP(g,g,X0,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X1),X0))) )
& ( $true = vAPP(g,$o,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X1),X0)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
! [X0: g > g,X1: g > $o] :
( ? [X2: g] :
( ( $true != vAPP(g,$o,X1,vAPP(g,g,X0,X2)) )
& ( $true = vAPP(g,$o,X1,X2) ) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X1),X0) ) ),
inference(rectify,[],[f16]) ).
thf(f16,plain,
! [X3: g > g,X2: g > $o] :
( ? [X19: g] :
( ( $true != vAPP(g,$o,X2,vAPP(g,g,X3,X19)) )
& ( $true = vAPP(g,$o,X2,X19) ) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X2),X3) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X3: g > g,X2: g > $o] :
( ? [X19: g] :
( ( $true != vAPP(g,$o,X2,vAPP(g,g,X3,X19)) )
& ( $true = vAPP(g,$o,X2,X19) ) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X2),X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f130,plain,
$true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11),
inference(subsumption_resolution,[],[f121,f25]) ).
thf(f121,plain,
( ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true != vAPP(a,$o,sK10,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,sK10),sK11)) ) ),
inference(trivial_inequality_removal,[],[f118]) ).
thf(f118,plain,
( ( $true != $true )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true != vAPP(a,$o,sK10,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,sK10),sK11)) ) ),
inference(superposition,[],[f26,f34]) ).
thf(f26,plain,
! [X0: a > a,X1: a > $o] :
( ( $true != vAPP(a,$o,X1,vAPP(a,a,X0,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X1),X0))) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X1),X0) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: a > a,X1: a > $o] :
( ( ( $true != vAPP(a,$o,X1,vAPP(a,a,X0,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X1),X0))) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X1),X0)) ) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f14]) ).
thf(f14,plain,
! [X0: a > a,X1: a > $o] :
( ? [X2: a] :
( ( $true != vAPP(a,$o,X1,vAPP(a,a,X0,X2)) )
& ( $true = vAPP(a,$o,X1,X2) ) )
=> ( ( $true != vAPP(a,$o,X1,vAPP(a,a,X0,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X1),X0))) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X1),X0)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X0: a > a,X1: a > $o] :
( ? [X2: a] :
( ( $true != vAPP(a,$o,X1,vAPP(a,a,X0,X2)) )
& ( $true = vAPP(a,$o,X1,X2) ) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X1),X0) ) ),
inference(rectify,[],[f12]) ).
thf(f12,plain,
! [X7: a > a,X6: a > $o] :
( ? [X18: a] :
( ( $true != vAPP(a,$o,X6,vAPP(a,a,X7,X18)) )
& ( $true = vAPP(a,$o,X6,X18) ) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X6),X7) ) ),
inference(nnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X7: a > a,X6: a > $o] :
( ? [X18: a] :
( ( $true != vAPP(a,$o,X6,vAPP(a,a,X7,X18)) )
& ( $true = vAPP(a,$o,X6,X18) ) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X6),X7) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f27,plain,
! [X0: g > g,X1: g > $o] :
( ( $true = vAPP(g,$o,X1,vAPP(sTfun(g,g),g,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),g),sK3,X1),X0)) )
| ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X1),X0) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f25,plain,
! [X0: a > a,X1: a > $o] :
( ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,X1),X0)) )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X1),X0) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f37,plain,
( ( $true = vAPP(g,$o,sK6,sK12) )
| ( $true = vAPP(g,$o,sK6,sK13) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( ( ( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
& ( $true = vAPP(g,$o,sK6,sK12) ) )
| ( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
& ( $true = vAPP(g,$o,sK6,sK13) ) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) )
& ! [X10: b] :
( ( vAPP(b,a,sK5,vAPP(b,b,sK9,X10)) = vAPP(a,a,sK11,vAPP(b,a,sK5,X10)) )
| ( $true != vAPP(b,$o,sK8,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,X11)) )
| ( $true != vAPP(b,$o,sK8,X11) ) )
& ! [X12: a] :
( ( $true = vAPP(a,$o,sK10,vAPP(a,a,sK11,X12)) )
| ( $true != vAPP(a,$o,sK10,X12) ) )
& ! [X13: b] :
( ( $true = vAPP(b,$o,sK8,vAPP(b,b,sK9,X13)) )
| ( $true != vAPP(b,$o,sK8,X13) ) )
& ! [X14: g] :
( ( vAPP(g,b,sK4,vAPP(g,g,sK7,X14)) = vAPP(b,b,sK9,vAPP(g,b,sK4,X14)) )
| ( $true != vAPP(g,$o,sK6,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,X15)) )
| ( $true != vAPP(g,$o,sK6,X15) ) )
& ! [X16: b] :
( ( $true = vAPP(b,$o,sK8,vAPP(b,b,sK9,X16)) )
| ( $true != vAPP(b,$o,sK8,X16) ) )
& ! [X17: g] :
( ( $true = vAPP(g,$o,sK6,vAPP(g,g,sK7,X17)) )
| ( $true != vAPP(g,$o,sK6,X17) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f20,f23,f22,f21]) ).
thf(f21,plain,
( ? [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ? [X8: g] :
( ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X8))) != vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X8))) )
& ( vAPP(g,$o,X2,X8) = $true ) )
| ? [X9: g] :
( ( $true != vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X9))) )
& ( $true = vAPP(g,$o,X2,X9) ) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X6),X7) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X2),X3) ) )
& ! [X10: b] :
( ( vAPP(b,a,X1,vAPP(b,b,X5,X10)) = vAPP(a,a,X7,vAPP(b,a,X1,X10)) )
| ( $true != vAPP(b,$o,X4,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,X11)) )
| ( $true != vAPP(b,$o,X4,X11) ) )
& ! [X12: a] :
( ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X12)) )
| ( $true != vAPP(a,$o,X6,X12) ) )
& ! [X13: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X13)) )
| ( $true != vAPP(b,$o,X4,X13) ) )
& ! [X14: g] :
( ( vAPP(g,b,X0,vAPP(g,g,X3,X14)) = vAPP(b,b,X5,vAPP(g,b,X0,X14)) )
| ( $true != vAPP(g,$o,X2,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(b,$o,X4,vAPP(g,b,X0,X15)) )
| ( $true != vAPP(g,$o,X2,X15) ) )
& ! [X16: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X16)) )
| ( $true != vAPP(b,$o,X4,X16) ) )
& ! [X17: g] :
( ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X17)) )
| ( $true != vAPP(g,$o,X2,X17) ) ) )
=> ( ( ? [X8: g] :
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,X8))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,X8))) )
& ( $true = vAPP(g,$o,sK6,X8) ) )
| ? [X9: g] :
( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,X9))) )
& ( $true = vAPP(g,$o,sK6,X9) ) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) )
& ! [X10: b] :
( ( vAPP(b,a,sK5,vAPP(b,b,sK9,X10)) = vAPP(a,a,sK11,vAPP(b,a,sK5,X10)) )
| ( $true != vAPP(b,$o,sK8,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,X11)) )
| ( $true != vAPP(b,$o,sK8,X11) ) )
& ! [X12: a] :
( ( $true = vAPP(a,$o,sK10,vAPP(a,a,sK11,X12)) )
| ( $true != vAPP(a,$o,sK10,X12) ) )
& ! [X13: b] :
( ( $true = vAPP(b,$o,sK8,vAPP(b,b,sK9,X13)) )
| ( $true != vAPP(b,$o,sK8,X13) ) )
& ! [X14: g] :
( ( vAPP(g,b,sK4,vAPP(g,g,sK7,X14)) = vAPP(b,b,sK9,vAPP(g,b,sK4,X14)) )
| ( $true != vAPP(g,$o,sK6,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,X15)) )
| ( $true != vAPP(g,$o,sK6,X15) ) )
& ! [X16: b] :
( ( $true = vAPP(b,$o,sK8,vAPP(b,b,sK9,X16)) )
| ( $true != vAPP(b,$o,sK8,X16) ) )
& ! [X17: g] :
( ( $true = vAPP(g,$o,sK6,vAPP(g,g,sK7,X17)) )
| ( $true != vAPP(g,$o,sK6,X17) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
( ? [X8: g] :
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,X8))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,X8))) )
& ( $true = vAPP(g,$o,sK6,X8) ) )
=> ( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
& ( $true = vAPP(g,$o,sK6,sK12) ) ) ),
introduced(choice_axiom,[]) ).
thf(f23,plain,
( ? [X9: g] :
( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,X9))) )
& ( $true = vAPP(g,$o,sK6,X9) ) )
=> ( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
& ( $true = vAPP(g,$o,sK6,sK13) ) ) ),
introduced(choice_axiom,[]) ).
thf(f20,plain,
? [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ? [X8: g] :
( ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X8))) != vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X8))) )
& ( vAPP(g,$o,X2,X8) = $true ) )
| ? [X9: g] :
( ( $true != vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X9))) )
& ( $true = vAPP(g,$o,X2,X9) ) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X6),X7) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X2),X3) ) )
& ! [X10: b] :
( ( vAPP(b,a,X1,vAPP(b,b,X5,X10)) = vAPP(a,a,X7,vAPP(b,a,X1,X10)) )
| ( $true != vAPP(b,$o,X4,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,X11)) )
| ( $true != vAPP(b,$o,X4,X11) ) )
& ! [X12: a] :
( ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X12)) )
| ( $true != vAPP(a,$o,X6,X12) ) )
& ! [X13: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X13)) )
| ( $true != vAPP(b,$o,X4,X13) ) )
& ! [X14: g] :
( ( vAPP(g,b,X0,vAPP(g,g,X3,X14)) = vAPP(b,b,X5,vAPP(g,b,X0,X14)) )
| ( $true != vAPP(g,$o,X2,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(b,$o,X4,vAPP(g,b,X0,X15)) )
| ( $true != vAPP(g,$o,X2,X15) ) )
& ! [X16: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X16)) )
| ( $true != vAPP(b,$o,X4,X16) ) )
& ! [X17: g] :
( ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X17)) )
| ( $true != vAPP(g,$o,X2,X17) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
? [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ? [X16: g] :
( ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X16))) != vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X16))) )
& ( $true = vAPP(g,$o,X2,X16) ) )
| ? [X17: g] :
( ( $true != vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X17))) )
& ( $true = vAPP(g,$o,X2,X17) ) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,X6),X7) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,X2),X3) ) )
& ! [X8: b] :
( ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) )
| ( vAPP(b,$o,X4,X8) != $true ) )
& ! [X9: b] :
( ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,X9)) )
| ( $true != vAPP(b,$o,X4,X9) ) )
& ! [X10: a] :
( ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X10)) )
| ( $true != vAPP(a,$o,X6,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X11)) )
| ( $true != vAPP(b,$o,X4,X11) ) )
& ! [X12: g] :
( ( vAPP(g,b,X0,vAPP(g,g,X3,X12)) = vAPP(b,b,X5,vAPP(g,b,X0,X12)) )
| ( $true != vAPP(g,$o,X2,X12) ) )
& ! [X13: g] :
( ( $true = vAPP(b,$o,X4,vAPP(g,b,X0,X13)) )
| ( $true != vAPP(g,$o,X2,X13) ) )
& ! [X14: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X14)) )
| ( $true != vAPP(b,$o,X4,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X15)) )
| ( $true != vAPP(g,$o,X2,X15) ) ) ),
inference(definition_folding,[],[f8,f10,f9]) ).
thf(f8,plain,
? [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ? [X16: g] :
( ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X16))) != vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X16))) )
& ( $true = vAPP(g,$o,X2,X16) ) )
| ? [X17: g] :
( ( $true != vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X17))) )
& ( $true = vAPP(g,$o,X2,X17) ) )
| ? [X18: a] :
( ( $true != vAPP(a,$o,X6,vAPP(a,a,X7,X18)) )
& ( $true = vAPP(a,$o,X6,X18) ) )
| ? [X19: g] :
( ( $true != vAPP(g,$o,X2,vAPP(g,g,X3,X19)) )
& ( $true = vAPP(g,$o,X2,X19) ) ) )
& ! [X8: b] :
( ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) )
| ( vAPP(b,$o,X4,X8) != $true ) )
& ! [X9: b] :
( ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,X9)) )
| ( $true != vAPP(b,$o,X4,X9) ) )
& ! [X10: a] :
( ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X10)) )
| ( $true != vAPP(a,$o,X6,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X11)) )
| ( $true != vAPP(b,$o,X4,X11) ) )
& ! [X12: g] :
( ( vAPP(g,b,X0,vAPP(g,g,X3,X12)) = vAPP(b,b,X5,vAPP(g,b,X0,X12)) )
| ( $true != vAPP(g,$o,X2,X12) ) )
& ! [X13: g] :
( ( $true = vAPP(b,$o,X4,vAPP(g,b,X0,X13)) )
| ( $true != vAPP(g,$o,X2,X13) ) )
& ! [X14: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X14)) )
| ( $true != vAPP(b,$o,X4,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X15)) )
| ( $true != vAPP(g,$o,X2,X15) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ? [X16: g] :
( ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X16))) != vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X16))) )
& ( $true = vAPP(g,$o,X2,X16) ) )
| ? [X17: g] :
( ( $true != vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X17))) )
& ( $true = vAPP(g,$o,X2,X17) ) )
| ? [X18: a] :
( ( $true != vAPP(a,$o,X6,vAPP(a,a,X7,X18)) )
& ( $true = vAPP(a,$o,X6,X18) ) )
| ? [X19: g] :
( ( $true != vAPP(g,$o,X2,vAPP(g,g,X3,X19)) )
& ( $true = vAPP(g,$o,X2,X19) ) ) )
& ! [X8: b] :
( ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) )
| ( vAPP(b,$o,X4,X8) != $true ) )
& ! [X9: b] :
( ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,X9)) )
| ( $true != vAPP(b,$o,X4,X9) ) )
& ! [X10: a] :
( ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X10)) )
| ( $true != vAPP(a,$o,X6,X10) ) )
& ! [X11: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X11)) )
| ( $true != vAPP(b,$o,X4,X11) ) )
& ! [X12: g] :
( ( vAPP(g,b,X0,vAPP(g,g,X3,X12)) = vAPP(b,b,X5,vAPP(g,b,X0,X12)) )
| ( $true != vAPP(g,$o,X2,X12) ) )
& ! [X13: g] :
( ( $true = vAPP(b,$o,X4,vAPP(g,b,X0,X13)) )
| ( $true != vAPP(g,$o,X2,X13) ) )
& ! [X14: b] :
( ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X14)) )
| ( $true != vAPP(b,$o,X4,X14) ) )
& ! [X15: g] :
( ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X15)) )
| ( $true != vAPP(g,$o,X2,X15) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ! [X8: b] :
( ( vAPP(b,$o,X4,X8) = $true )
=> ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) ) )
& ! [X9: b] :
( ( $true = vAPP(b,$o,X4,X9) )
=> ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,X9)) ) )
& ! [X10: a] :
( ( $true = vAPP(a,$o,X6,X10) )
=> ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X10)) ) )
& ! [X11: b] :
( ( $true = vAPP(b,$o,X4,X11) )
=> ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X11)) ) )
& ! [X12: g] :
( ( $true = vAPP(g,$o,X2,X12) )
=> ( vAPP(g,b,X0,vAPP(g,g,X3,X12)) = vAPP(b,b,X5,vAPP(g,b,X0,X12)) ) )
& ! [X13: g] :
( ( $true = vAPP(g,$o,X2,X13) )
=> ( $true = vAPP(b,$o,X4,vAPP(g,b,X0,X13)) ) )
& ! [X14: b] :
( ( $true = vAPP(b,$o,X4,X14) )
=> ( $true = vAPP(b,$o,X4,vAPP(b,b,X5,X14)) ) )
& ! [X15: g] :
( ( $true = vAPP(g,$o,X2,X15) )
=> ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X15)) ) ) )
=> ( ! [X16: g] :
( ( $true = vAPP(g,$o,X2,X16) )
=> ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X16))) = vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X16))) ) )
& ! [X17: g] :
( ( $true = vAPP(g,$o,X2,X17) )
=> ( $true = vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X17))) ) )
& ! [X18: a] :
( ( $true = vAPP(a,$o,X6,X18) )
=> ( $true = vAPP(a,$o,X6,vAPP(a,a,X7,X18)) ) )
& ! [X19: g] :
( ( $true = vAPP(g,$o,X2,X19) )
=> ( $true = vAPP(g,$o,X2,vAPP(g,g,X3,X19)) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) ) )
& ! [X9: b] :
( vAPP(b,$o,X4,X9)
=> vAPP(a,$o,X6,vAPP(b,a,X1,X9)) )
& ! [X10: a] :
( vAPP(a,$o,X6,X10)
=> vAPP(a,$o,X6,vAPP(a,a,X7,X10)) )
& ! [X11: b] :
( vAPP(b,$o,X4,X11)
=> vAPP(b,$o,X4,vAPP(b,b,X5,X11)) )
& ! [X12: g] :
( vAPP(g,$o,X2,X12)
=> ( vAPP(g,b,X0,vAPP(g,g,X3,X12)) = vAPP(b,b,X5,vAPP(g,b,X0,X12)) ) )
& ! [X13: g] :
( vAPP(g,$o,X2,X13)
=> vAPP(b,$o,X4,vAPP(g,b,X0,X13)) )
& ! [X14: b] :
( vAPP(b,$o,X4,X14)
=> vAPP(b,$o,X4,vAPP(b,b,X5,X14)) )
& ! [X15: g] :
( vAPP(g,$o,X2,X15)
=> vAPP(g,$o,X2,vAPP(g,g,X3,X15)) ) )
=> ( ! [X16: g] :
( vAPP(g,$o,X2,X16)
=> ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X16))) = vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X16))) ) )
& ! [X17: g] :
( vAPP(g,$o,X2,X17)
=> vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X17))) )
& ! [X18: a] :
( vAPP(a,$o,X6,X18)
=> vAPP(a,$o,X6,vAPP(a,a,X7,X18)) )
& ! [X19: g] :
( vAPP(g,$o,X2,X19)
=> vAPP(g,$o,X2,vAPP(g,g,X3,X19)) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) ) )
& ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> vAPP(a,$o,X6,vAPP(b,a,X1,X8)) )
& ! [X8: a] :
( vAPP(a,$o,X6,X8)
=> vAPP(a,$o,X6,vAPP(a,a,X7,X8)) )
& ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> vAPP(b,$o,X4,vAPP(b,b,X5,X8)) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> ( vAPP(g,b,X0,vAPP(g,g,X3,X8)) = vAPP(b,b,X5,vAPP(g,b,X0,X8)) ) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(b,$o,X4,vAPP(g,b,X0,X8)) )
& ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> vAPP(b,$o,X4,vAPP(b,b,X5,X8)) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(g,$o,X2,vAPP(g,g,X3,X8)) ) )
=> ( ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X8))) = vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X8))) ) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X8))) )
& ! [X8: a] :
( vAPP(a,$o,X6,X8)
=> vAPP(a,$o,X6,vAPP(a,a,X7,X8)) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(g,$o,X2,vAPP(g,g,X3,X8)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: g > b,X1: b > a,X2: g > $o,X3: g > g,X4: b > $o,X5: b > b,X6: a > $o,X7: a > a] :
( ( ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> ( vAPP(b,a,X1,vAPP(b,b,X5,X8)) = vAPP(a,a,X7,vAPP(b,a,X1,X8)) ) )
& ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> vAPP(a,$o,X6,vAPP(b,a,X1,X8)) )
& ! [X8: a] :
( vAPP(a,$o,X6,X8)
=> vAPP(a,$o,X6,vAPP(a,a,X7,X8)) )
& ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> vAPP(b,$o,X4,vAPP(b,b,X5,X8)) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> ( vAPP(g,b,X0,vAPP(g,g,X3,X8)) = vAPP(b,b,X5,vAPP(g,b,X0,X8)) ) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(b,$o,X4,vAPP(g,b,X0,X8)) )
& ! [X8: b] :
( vAPP(b,$o,X4,X8)
=> vAPP(b,$o,X4,vAPP(b,b,X5,X8)) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(g,$o,X2,vAPP(g,g,X3,X8)) ) )
=> ( ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> ( vAPP(b,a,X1,vAPP(g,b,X0,vAPP(g,g,X3,X8))) = vAPP(a,a,X7,vAPP(b,a,X1,vAPP(g,b,X0,X8))) ) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(a,$o,X6,vAPP(b,a,X1,vAPP(g,b,X0,X8))) )
& ! [X8: a] :
( vAPP(a,$o,X6,X8)
=> vAPP(a,$o,X6,vAPP(a,a,X7,X8)) )
& ! [X8: g] :
( vAPP(g,$o,X2,X8)
=> vAPP(g,$o,X2,vAPP(g,g,X3,X8)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM131_pme) ).
thf(f74,plain,
! [X0: g] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,X0)))) )
| ( $true != vAPP(g,$o,sK6,X0) ) ),
inference(subsumption_resolution,[],[f73,f31]) ).
thf(f73,plain,
! [X0: g] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,X0)))) )
| ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,X0)) )
| ( $true != vAPP(g,$o,sK6,X0) ) ),
inference(superposition,[],[f72,f32]) ).
thf(f72,plain,
! [X0: b] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(b,b,sK9,X0))) )
| ( $true != vAPP(b,$o,sK8,X0) ) ),
inference(subsumption_resolution,[],[f71,f35]) ).
thf(f71,plain,
! [X0: b] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(b,b,sK9,X0))) )
| ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,X0)) )
| ( $true != vAPP(b,$o,sK8,X0) ) ),
inference(superposition,[],[f34,f36]) ).
thf(f36,plain,
! [X10: b] :
( ( vAPP(b,a,sK5,vAPP(b,b,sK9,X10)) = vAPP(a,a,sK11,vAPP(b,a,sK5,X10)) )
| ( $true != vAPP(b,$o,sK8,X10) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f70,plain,
! [X0: g] :
( ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,vAPP(g,g,sK7,X0))) )
| ( $true != vAPP(g,$o,sK6,X0) ) ),
inference(subsumption_resolution,[],[f69,f31]) ).
thf(f69,plain,
! [X0: g] :
( ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,vAPP(g,g,sK7,X0))) )
| ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,X0)) )
| ( $true != vAPP(g,$o,sK6,X0) ) ),
inference(superposition,[],[f30,f32]) ).
thf(f32,plain,
! [X14: g] :
( ( vAPP(g,b,sK4,vAPP(g,g,sK7,X14)) = vAPP(b,b,sK9,vAPP(g,b,sK4,X14)) )
| ( $true != vAPP(g,$o,sK6,X14) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f35,plain,
! [X11: b] :
( ( $true = vAPP(a,$o,sK10,vAPP(b,a,sK5,X11)) )
| ( $true != vAPP(b,$o,sK8,X11) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f34,plain,
! [X12: a] :
( ( $true = vAPP(a,$o,sK10,vAPP(a,a,sK11,X12)) )
| ( $true != vAPP(a,$o,sK10,X12) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X15: g] :
( ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,X15)) )
| ( $true != vAPP(g,$o,sK6,X15) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X16: b] :
( ( $true = vAPP(b,$o,sK8,vAPP(b,b,sK9,X16)) )
| ( $true != vAPP(b,$o,sK8,X16) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X17: g] :
( ( $true = vAPP(g,$o,sK6,vAPP(g,g,sK7,X17)) )
| ( $true != vAPP(g,$o,sK6,X17) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f33,plain,
! [X13: b] :
( ( $true = vAPP(b,$o,sK8,vAPP(b,b,sK9,X13)) )
| ( $true != vAPP(b,$o,sK8,X13) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f38,plain,
( ( $true = vAPP(g,$o,sK6,sK12) )
| ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f39,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
| ( $true = vAPP(g,$o,sK6,sK13) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f40,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
| ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f317,plain,
( ~ spl14_4
| spl14_8 ),
inference(avatar_contradiction_clause,[],[f316]) ).
thf(f316,plain,
( $false
| ~ spl14_4
| spl14_8 ),
inference(subsumption_resolution,[],[f315,f90]) ).
thf(f90,plain,
( ( $true = vAPP(g,$o,sK6,sK12) )
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f88,plain,
( spl14_4
<=> ( $true = vAPP(g,$o,sK6,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
thf(f315,plain,
( ( $true != vAPP(g,$o,sK6,sK12) )
| spl14_8 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f314,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) )
| ( $true != vAPP(g,$o,sK6,sK12) )
| spl14_8 ),
inference(superposition,[],[f270,f32]) ).
thf(f270,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(b,a,sK5,vAPP(b,b,sK9,vAPP(g,b,sK4,sK12))) )
| spl14_8 ),
inference(avatar_component_clause,[],[f268]) ).
thf(f268,plain,
( spl14_8
<=> ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) = vAPP(b,a,sK5,vAPP(b,b,sK9,vAPP(g,b,sK4,sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
thf(f306,plain,
( ~ spl14_1
| ~ spl14_4 ),
inference(avatar_contradiction_clause,[],[f305]) ).
thf(f305,plain,
( $false
| ~ spl14_1
| ~ spl14_4 ),
inference(global_subsumption,[],[f90,f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f284,f281,f278,f78]) ).
thf(f78,plain,
( ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f76,plain,
( spl14_1
<=> ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
thf(f304,plain,
( ~ spl14_1
| ~ spl14_7 ),
inference(avatar_contradiction_clause,[],[f303]) ).
thf(f303,plain,
( $false
| ~ spl14_1
| ~ spl14_7 ),
inference(global_subsumption,[],[f265,f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f284,f281,f278,f78]) ).
thf(f265,plain,
( ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,sK12)) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f264]) ).
thf(f264,plain,
( spl14_7
<=> ( $true = vAPP(b,$o,sK8,vAPP(g,b,sK4,sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
thf(f302,plain,
~ spl14_1,
inference(avatar_contradiction_clause,[],[f301]) ).
thf(f301,plain,
( $false
| ~ spl14_1 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f284,f281,f278,f78]) ).
thf(f300,plain,
~ spl14_1,
inference(avatar_contradiction_clause,[],[f299]) ).
thf(f299,plain,
( $false
| ~ spl14_1 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f78,f284,f281,f278]) ).
thf(f298,plain,
~ spl14_1,
inference(avatar_contradiction_clause,[],[f297]) ).
thf(f297,plain,
( $false
| ~ spl14_1 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f278,f78,f284,f281]) ).
thf(f296,plain,
~ spl14_1,
inference(avatar_contradiction_clause,[],[f295]) ).
thf(f295,plain,
( $false
| ~ spl14_1 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f278,f281,f78,f284]) ).
thf(f294,plain,
( ~ spl14_1
| spl14_5
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f293]) ).
thf(f293,plain,
( $false
| ~ spl14_1
| spl14_5
| spl14_7 ),
inference(global_subsumption,[],[f78,f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f266,f274,f278,f281,f284,f275]) ).
thf(f275,plain,
( ( $true != vAPP(g,$o,sK6,sK12) )
| spl14_7 ),
inference(trivial_inequality_removal,[],[f272]) ).
thf(f272,plain,
( ( $true != $true )
| ( $true != vAPP(g,$o,sK6,sK12) )
| spl14_7 ),
inference(superposition,[],[f266,f31]) ).
thf(f274,plain,
( ( $false = vAPP(b,$o,sK8,vAPP(g,b,sK4,sK12)) )
| spl14_7 ),
inference(trivial_inequality_removal,[],[f273]) ).
thf(f273,plain,
( ( $true != $true )
| ( $false = vAPP(b,$o,sK8,vAPP(g,b,sK4,sK12)) )
| spl14_7 ),
inference(superposition,[],[f266,f4]) ).
thf(f266,plain,
( ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,sK12)) )
| spl14_7 ),
inference(avatar_component_clause,[],[f264]) ).
thf(f292,plain,
( spl14_4
| spl14_5
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f291]) ).
thf(f291,plain,
( $false
| spl14_4
| spl14_5
| spl14_7 ),
inference(global_subsumption,[],[f89,f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f266,f274,f278,f281,f284,f275]) ).
thf(f89,plain,
( ( $true != vAPP(g,$o,sK6,sK12) )
| spl14_4 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f290,plain,
( spl14_4
| spl14_5
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f289]) ).
thf(f289,plain,
( $false
| spl14_4
| spl14_5
| spl14_7 ),
inference(global_subsumption,[],[f95,f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f266,f274,f278,f281,f284,f275]) ).
thf(f95,plain,
( ( $false = vAPP(g,$o,sK6,sK12) )
| spl14_4 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f94,plain,
( ( $true != $true )
| ( $false = vAPP(g,$o,sK6,sK12) )
| spl14_4 ),
inference(superposition,[],[f89,f4]) ).
thf(f288,plain,
( spl14_5
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f287]) ).
thf(f287,plain,
( $false
| spl14_5
| spl14_7 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f266,f274,f278,f281,f284,f275]) ).
thf(f286,plain,
( spl14_4
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f285]) ).
thf(f285,plain,
( $false
| spl14_4
| spl14_5 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f89,f95,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f278,f281,f284]) ).
thf(f283,plain,
( spl14_4
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f282]) ).
thf(f282,plain,
( $false
| spl14_4
| spl14_5 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f89,f95,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f278,f281]) ).
thf(f280,plain,
( spl14_4
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f279]) ).
thf(f279,plain,
( $false
| spl14_4
| spl14_5 ),
inference(global_subsumption,[],[f40,f39,f38,f33,f3,f4,f29,f30,f31,f34,f35,f32,f70,f36,f72,f74,f37,f89,f95,f25,f27,f26,f130,f28,f120,f155,f141,f167,f110,f183,f192,f190,f195,f114,f200,f209,f207,f212,f122,f217,f143,f218,f224,f233,f237,f236,f232,f278]) ).
thf(f277,plain,
( ~ spl14_4
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f276]) ).
thf(f276,plain,
( $false
| ~ spl14_4
| spl14_7 ),
inference(subsumption_resolution,[],[f275,f90]) ).
thf(f271,plain,
( ~ spl14_7
| ~ spl14_8
| spl14_6 ),
inference(avatar_split_clause,[],[f262,f226,f268,f264]) ).
thf(f262,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(b,a,sK5,vAPP(b,b,sK9,vAPP(g,b,sK4,sK12))) )
| ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,sK12)) )
| spl14_6 ),
inference(superposition,[],[f228,f36]) ).
thf(f228,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
| spl14_6 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f239,plain,
( ~ spl14_3
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f238]) ).
thf(f238,plain,
( $false
| ~ spl14_3
| spl14_5 ),
inference(subsumption_resolution,[],[f237,f86]) ).
thf(f86,plain,
( ( $true = vAPP(g,$o,sK6,sK13) )
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f84,plain,
( spl14_3
<=> ( $true = vAPP(g,$o,sK6,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
thf(f229,plain,
( ~ spl14_5
| ~ spl14_6
| spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f220,f80,f76,f226,f222]) ).
thf(f80,plain,
( spl14_2
<=> ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
thf(f220,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
| ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| spl14_1
| spl14_2 ),
inference(subsumption_resolution,[],[f219,f77]) ).
thf(f77,plain,
( ( $true != vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| spl14_1 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f219,plain,
( ( vAPP(b,a,sK5,vAPP(g,b,sK4,vAPP(g,g,sK7,sK12))) != vAPP(a,a,sK11,vAPP(b,a,sK5,vAPP(g,b,sK4,sK12))) )
| ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| spl14_2 ),
inference(subsumption_resolution,[],[f40,f81]) ).
thf(f81,plain,
( ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| spl14_2 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f180,plain,
( spl14_1
| spl14_2
| ~ spl14_3
| spl14_4 ),
inference(avatar_contradiction_clause,[],[f179]) ).
thf(f179,plain,
( $false
| spl14_1
| spl14_2
| ~ spl14_3
| spl14_4 ),
inference(subsumption_resolution,[],[f178,f86]) ).
thf(f178,plain,
( ( $true != vAPP(g,$o,sK6,sK13) )
| spl14_1
| spl14_2
| spl14_4 ),
inference(trivial_inequality_removal,[],[f175]) ).
thf(f175,plain,
( ( $true != $true )
| ( $true != vAPP(g,$o,sK6,sK13) )
| spl14_1
| spl14_2
| spl14_4 ),
inference(superposition,[],[f174,f31]) ).
thf(f174,plain,
( ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,sK13)) )
| spl14_1
| spl14_2
| spl14_4 ),
inference(trivial_inequality_removal,[],[f171]) ).
thf(f171,plain,
( ( $true != $true )
| ( $true != vAPP(b,$o,sK8,vAPP(g,b,sK4,sK13)) )
| spl14_1
| spl14_2
| spl14_4 ),
inference(superposition,[],[f170,f35]) ).
thf(f170,plain,
( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| spl14_1
| spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f169,f77]) ).
thf(f169,plain,
( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f168,f81]) ).
thf(f168,plain,
( ( $true != vAPP(a,$o,sK10,vAPP(b,a,sK5,vAPP(g,b,sK4,sK13))) )
| ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ( $true = vAPP(sTfun(g,g),$o,vAPP(sTfun(g,$o),sTfun(sTfun(g,g),$o),sP0,sK6),sK7) )
| spl14_4 ),
inference(subsumption_resolution,[],[f38,f89]) ).
thf(f129,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f128]) ).
thf(f128,plain,
( $false
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f127,f82]) ).
thf(f82,plain,
( ( $true = vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f127,plain,
( ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ~ spl14_2 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f124,plain,
( ( $true != $true )
| ( $true != vAPP(sTfun(a,a),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),$o),sP1,sK10),sK11) )
| ~ spl14_2 ),
inference(superposition,[],[f123,f25]) ).
thf(f123,plain,
( ( $true != vAPP(a,$o,sK10,vAPP(sTfun(a,a),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,a),a),sK2,sK10),sK11)) )
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f121,f82]) ).
thf(f91,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f37,f88,f84,f80,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU903^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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 16:52:22 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14158)WARNING: value z3 for option sas not known
% 0.14/0.37 % (14156)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (14159)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (14158)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)
% 0.14/0.37 % (14160)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)
% 0.14/0.37 % (14157)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (14161)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)
% 0.14/0.37 % (14162)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)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level% (14162)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (14158)First to succeed.
% 0.14/0.39 % (14163)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (14164)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)
% 0.14/0.39 % (14165)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)
% 0.14/0.39 % (14160)Also succeeded, but the first one will report.
% 0.14/0.39 % (14163)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % (14164)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (14158)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14155"
% 0.14/0.39 % (14158)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (14158)------------------------------
% 0.14/0.40 % (14158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (14158)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (14158)Memory used [KB]: 973
% 0.14/0.40 % (14158)Time elapsed: 0.024 s
% 0.14/0.40 % (14158)Instructions burned: 40 (million)
% 0.14/0.40 % (14155)Success in time 0.039 s
%------------------------------------------------------------------------------