TSTP Solution File: SYO620-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO620-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Sun May 5 12:30:52 EDT 2024
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 113 ( 8 unt; 0 def)
% Number of atoms : 370 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 509 ( 252 ~; 253 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 183 ( 183 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7930,plain,
$false,
inference(avatar_sat_refutation,[],[f4388,f4487,f4584,f6617,f6654,f6866,f6899,f6921,f7007,f7062,f7227,f7395,f7658,f7892,f7929]) ).
fof(f7929,plain,
( spl0_7
| spl0_10
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7928,f1169,f1019,f4386,f2375]) ).
fof(f2375,plain,
( spl0_7
<=> ! [X1] : ~ eq(f(X1),a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4386,plain,
( spl0_10
<=> ! [X0] : ~ eq(f(X0),a3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1019,plain,
( spl0_1
<=> ! [X1] : ~ eq(f(X1),a0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1169,plain,
( spl0_3
<=> ! [X1] : ~ eq(f(X1),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f7928,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a2) )
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f7400,f1020]) ).
fof(f1020,plain,
( ! [X1] : ~ eq(f(X1),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f7400,plain,
( ! [X0,X1] :
( eq(f(max(s(X1),s(X0))),a0)
| ~ eq(f(X0),a3)
| ~ eq(f(X1),a2) )
| ~ spl0_3 ),
inference(resolution,[],[f1170,f232]) ).
fof(f232,plain,
! [X0,X1] :
( eq(f(max(s(X1),s(X0))),a1)
| ~ eq(f(X0),a3)
| eq(f(max(s(X1),s(X0))),a0)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f101,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f7,f9]) ).
fof(f9,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f7,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a2)
| ~ eq(f(X3),a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f101,plain,
! [X0,X1] :
( eq(f(max(X1,s(X0))),a2)
| ~ eq(f(X0),a3)
| eq(f(max(X1,s(X0))),a1)
| eq(f(max(X1,s(X0))),a0) ),
inference(resolution,[],[f46,f4]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a3)
| eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f46,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a3)
| ~ eq(f(X1),a3) ),
inference(resolution,[],[f8,f11]) ).
fof(f11,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f8,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a3)
| ~ eq(f(X3),a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f1170,plain,
( ! [X1] : ~ eq(f(X1),a1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f7892,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f7891]) ).
fof(f7891,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7791,f7789]) ).
fof(f7789,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7723,f1170]) ).
fof(f7723,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7659,f2376]) ).
fof(f2376,plain,
( ! [X1] : ~ eq(f(X1),a2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f7659,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_10 ),
inference(resolution,[],[f4387,f4]) ).
fof(f4387,plain,
( ! [X0] : ~ eq(f(X0),a3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f4386]) ).
fof(f7791,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7789,f17]) ).
fof(f17,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f7658,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f7657]) ).
fof(f7657,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f7592,f1020]) ).
fof(f7592,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f7526,f1170]) ).
fof(f7526,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f7462,f2376]) ).
fof(f7462,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f7461,f4]) ).
fof(f7461,plain,
( ! [X0] : ~ eq(f(X0),a3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f7396,f1020]) ).
fof(f7396,plain,
( ! [X0] :
( eq(f(s(X0)),a0)
| ~ eq(f(X0),a3) )
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f1170,f6922]) ).
fof(f6922,plain,
( ! [X0] :
( eq(f(s(X0)),a1)
| ~ eq(f(X0),a3)
| eq(f(s(X0)),a0) )
| ~ spl0_7 ),
inference(resolution,[],[f2376,f51]) ).
fof(f51,plain,
! [X0] :
( eq(f(s(X0)),a2)
| ~ eq(f(X0),a3)
| eq(f(s(X0)),a1)
| eq(f(s(X0)),a0) ),
inference(resolution,[],[f44,f4]) ).
fof(f44,plain,
! [X0] :
( ~ eq(f(s(X0)),a3)
| ~ eq(f(X0),a3) ),
inference(resolution,[],[f8,f1]) ).
fof(f7395,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f7394]) ).
fof(f7394,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7330,f1020]) ).
fof(f7330,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7228,f7127]) ).
fof(f7127,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7063,f2376]) ).
fof(f7063,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_10 ),
inference(resolution,[],[f4387,f4]) ).
fof(f7228,plain,
( ! [X0] : ~ eq(f(X0),a1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f1020,f7130]) ).
fof(f7130,plain,
( ! [X0] :
( eq(f(s(X0)),a0)
| ~ eq(f(X0),a1) )
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7127,f24]) ).
fof(f24,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a1)
| ~ eq(f(X3),a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7227,plain,
( spl0_1
| spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7196,f4386,f2375,f1169,f1019]) ).
fof(f7196,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a0) )
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7131,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f5,f11]) ).
fof(f7131,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a1) )
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f7127,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f9]) ).
fof(f7062,plain,
( spl0_1
| spl0_3
| spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f7047,f2375,f4386,f1169,f1019]) ).
fof(f7047,plain,
( ! [X2,X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a1)
| ~ eq(f(X2),a0) )
| ~ spl0_7 ),
inference(resolution,[],[f6943,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(s(X1),X2))),a0)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f14,f5]) ).
fof(f14,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X0,X2))),
inference(resolution,[],[f11,f2]) ).
fof(f6943,plain,
( ! [X2,X0,X1] :
( eq(f(max(s(X0),max(X1,s(X2)))),a0)
| ~ eq(f(X0),a3)
| ~ eq(f(X2),a1) )
| ~ spl0_7 ),
inference(resolution,[],[f6923,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(X1,s(X2)))),a1)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f13,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X2,X0))),
inference(resolution,[],[f11,f3]) ).
fof(f6923,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a3)
| eq(f(max(s(X0),X1)),a0) )
| ~ spl0_7 ),
inference(resolution,[],[f2376,f100]) ).
fof(f100,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a2)
| ~ eq(f(X0),a3)
| eq(f(max(s(X0),X1)),a1)
| eq(f(max(s(X0),X1)),a0) ),
inference(resolution,[],[f45,f4]) ).
fof(f45,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a3)
| ~ eq(f(X0),a3) ),
inference(resolution,[],[f8,f9]) ).
fof(f7007,plain,
( spl0_1
| spl0_10
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f6976,f2375,f1169,f4386,f1019]) ).
fof(f6976,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a0) )
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f6973,f19]) ).
fof(f6973,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a3) )
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f6923,f1170]) ).
fof(f6921,plain,
( spl0_1
| spl0_7
| spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6906,f1169,f4386,f2375,f1019]) ).
fof(f6906,plain,
( ! [X2,X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a2)
| ~ eq(f(X2),a0) )
| ~ spl0_3 ),
inference(resolution,[],[f6661,f36]) ).
fof(f6661,plain,
( ! [X2,X0,X1] :
( eq(f(max(s(X1),max(X2,s(X0)))),a0)
| ~ eq(f(X0),a3)
| ~ eq(f(X1),a2) )
| ~ spl0_3 ),
inference(resolution,[],[f1170,f551]) ).
fof(f551,plain,
! [X2,X0,X1] :
( eq(f(max(s(X1),max(X2,s(X0)))),a1)
| ~ eq(f(X0),a3)
| eq(f(max(s(X1),max(X2,s(X0)))),a0)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f199,f38]) ).
fof(f199,plain,
! [X2,X0,X1] :
( eq(f(max(X1,max(X2,s(X0)))),a2)
| ~ eq(f(X0),a3)
| eq(f(max(X1,max(X2,s(X0)))),a1)
| eq(f(max(X1,max(X2,s(X0)))),a0) ),
inference(resolution,[],[f47,f4]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(X1,s(X2)))),a3)
| ~ eq(f(X2),a3) ),
inference(resolution,[],[f8,f13]) ).
fof(f6899,plain,
( spl0_1
| spl0_7
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6868,f4386,f1169,f2375,f1019]) ).
fof(f6868,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a0) )
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f6657,f19]) ).
fof(f6657,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f1170,f4587]) ).
fof(f4587,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_10 ),
inference(resolution,[],[f4585,f38]) ).
fof(f4585,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_10 ),
inference(resolution,[],[f4387,f4]) ).
fof(f6866,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f6865]) ).
fof(f6865,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f6800,f1020]) ).
fof(f6800,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f6736,f1170]) ).
fof(f6736,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f6720,f4585]) ).
fof(f6720,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f6655,f1020]) ).
fof(f6655,plain,
( ! [X0] :
( eq(f(s(X0)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f1170,f4586]) ).
fof(f4586,plain,
( ! [X0] :
( eq(f(s(X0)),a1)
| eq(f(s(X0)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_10 ),
inference(resolution,[],[f4585,f37]) ).
fof(f37,plain,
! [X0] :
( ~ eq(f(s(X0)),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f7,f1]) ).
fof(f6654,plain,
( spl0_3
| spl0_7
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6626,f4386,f1019,f2375,f1169]) ).
fof(f6626,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a1) )
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f1020,f6531]) ).
fof(f6531,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),s(X1))),a0)
| ~ eq(f(X0),a2)
| ~ eq(f(X1),a1) )
| ~ spl0_10 ),
inference(resolution,[],[f4587,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a1)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f6,f11]) ).
fof(f6617,plain,
( spl0_1
| spl0_3
| spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6602,f4386,f2375,f1169,f1019]) ).
fof(f6602,plain,
( ! [X2,X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a1)
| ~ eq(f(X2),a0) )
| ~ spl0_10 ),
inference(resolution,[],[f6532,f36]) ).
fof(f6532,plain,
( ! [X2,X0,X1] :
( eq(f(max(s(X0),max(X1,s(X2)))),a0)
| ~ eq(f(X0),a2)
| ~ eq(f(X2),a1) )
| ~ spl0_10 ),
inference(resolution,[],[f4587,f31]) ).
fof(f4584,plain,
( spl0_1
| spl0_3
| spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f4392,f4386,f2375,f1169,f1019]) ).
fof(f4392,plain,
! [X2,X3,X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a2)
| ~ eq(f(X2),a1)
| ~ eq(f(X3),a0) ),
inference(resolution,[],[f498,f99]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ eq(f(max(X0,max(max(s(X1),X2),X3))),a0)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f34,f5]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : le(X0,max(X1,max(max(X0,X2),X3))),
inference(resolution,[],[f14,f2]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( eq(f(max(s(X0),max(max(X1,s(X2)),s(X3)))),a0)
| ~ eq(f(X0),a3)
| ~ eq(f(X3),a2)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f224,f92]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ eq(f(max(X0,max(max(X1,s(X2)),X3))),a1)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f33,f6]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : le(X0,max(X1,max(max(X2,X0),X3))),
inference(resolution,[],[f14,f3]) ).
fof(f224,plain,
! [X2,X0,X1] :
( eq(f(max(s(X0),max(X1,s(X2)))),a1)
| ~ eq(f(X0),a3)
| eq(f(max(s(X0),max(X1,s(X2)))),a0)
| ~ eq(f(X2),a2) ),
inference(resolution,[],[f100,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(X1,s(X2)))),a2)
| ~ eq(f(X2),a2) ),
inference(resolution,[],[f7,f13]) ).
fof(f4487,plain,
( spl0_3
| spl0_7
| spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4370,f1019,f4386,f2375,f1169]) ).
fof(f4370,plain,
( ! [X2,X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a2)
| ~ eq(f(X2),a1) )
| ~ spl0_1 ),
inference(resolution,[],[f1020,f514]) ).
fof(f514,plain,
! [X2,X0,X1] :
( eq(f(max(s(X0),max(s(X1),s(X2)))),a0)
| ~ eq(f(X0),a3)
| ~ eq(f(X1),a2)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f225,f31]) ).
fof(f225,plain,
! [X2,X0,X1] :
( eq(f(max(s(X0),max(s(X1),X2))),a1)
| ~ eq(f(X0),a3)
| eq(f(max(s(X0),max(s(X1),X2))),a0)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f100,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(s(X1),X2))),a2)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f7,f14]) ).
fof(f4388,plain,
( spl0_3
| spl0_10
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f4384,f2375,f1019,f4386,f1169]) ).
fof(f4384,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a1) )
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f4287,f1020]) ).
fof(f4287,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),s(X1))),a0)
| ~ eq(f(X0),a3)
| ~ eq(f(X1),a1) )
| ~ spl0_7 ),
inference(resolution,[],[f2382,f26]) ).
fof(f2382,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a3)
| eq(f(max(s(X0),X1)),a0) )
| ~ spl0_7 ),
inference(resolution,[],[f2376,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO620-1 : TPTP v8.1.2. Released v7.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:02:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (14450)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (14454)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (14453)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (14451)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (14455)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (14452)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (14457)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (14456)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,max,4]
% 0.15/0.38 Detected minimum model sizes of [1,1,1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,max,4]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.39 TRYING [3,1,1]
% 0.15/0.39 TRYING [3,1,1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2,1]
% 0.15/0.39 TRYING [2,2,1]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [3,1,2]
% 0.15/0.39 TRYING [3,1,2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [3,2,1]
% 0.15/0.39 TRYING [3,2,1]
% 0.15/0.39 TRYING [3,2,2]
% 0.15/0.39 TRYING [3,2,2]
% 0.15/0.40 TRYING [4,1,1]
% 0.15/0.40 TRYING [4,1,1]
% 0.22/0.40 TRYING [4,1,2]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4,1,2]
% 0.22/0.40 TRYING [3,1,3]
% 0.22/0.40 TRYING [3,1,3]
% 0.22/0.40 TRYING [5]
% 0.22/0.40 TRYING [4,1,3]
% 0.22/0.41 TRYING [4,1,3]
% 0.22/0.41 TRYING [3,2,3]
% 0.22/0.41 TRYING [3,2,3]
% 0.22/0.41 TRYING [4,2,1]
% 0.22/0.42 TRYING [4,2,1]
% 0.22/0.42 TRYING [3,3,1]
% 0.22/0.42 TRYING [3,3,1]
% 0.22/0.42 TRYING [4,2,2]
% 0.22/0.42 TRYING [4,2,2]
% 0.22/0.43 TRYING [3,3,2]
% 0.22/0.43 TRYING [3,3,2]
% 0.22/0.44 TRYING [4,3,1]
% 0.22/0.44 TRYING [4,3,1]
% 0.22/0.44 TRYING [4,2,3]
% 0.22/0.45 TRYING [4,2,3]
% 0.22/0.45 TRYING [5]
% 0.22/0.46 TRYING [3,3,3]
% 0.22/0.46 TRYING [3,3,3]
% 0.22/0.47 TRYING [4,3,2]
% 0.22/0.47 TRYING [4,3,2]
% 0.22/0.48 TRYING [4,3,3]
% 0.22/0.48 TRYING [6]
% 0.22/0.49 TRYING [6]
% 0.22/0.49 TRYING [4,3,3]
% 0.22/0.50 TRYING [5,1,1]
% 0.22/0.50 TRYING [5,1,2]
% 0.22/0.50 TRYING [5,1,3]
% 0.22/0.50 TRYING [5,1,1]
% 0.22/0.50 TRYING [4,1,4]
% 0.22/0.50 TRYING [5,1,2]
% 0.22/0.51 TRYING [5,2,1]
% 0.22/0.51 TRYING [5,1,4]
% 0.22/0.51 TRYING [5,1,3]
% 0.22/0.51 TRYING [4,2,4]
% 0.22/0.51 TRYING [4,1,4]
% 0.22/0.51 TRYING [5,2,1]
% 0.22/0.51 TRYING [5,1,4]
% 0.22/0.52 TRYING [4,2,4]
% 0.22/0.52 TRYING [5,2,2]
% 0.22/0.53 TRYING [5,2,2]
% 0.22/0.53 TRYING [5,2,3]
% 0.22/0.53 % (14453)First to succeed.
% 0.22/0.53 % (14453)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14450"
% 0.22/0.53 % (14453)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (14453)------------------------------
% 0.22/0.53 % (14453)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.53 % (14453)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (14453)Memory used [KB]: 4185
% 0.22/0.53 % (14453)Time elapsed: 0.151 s
% 0.22/0.53 % (14453)Instructions burned: 421 (million)
% 0.22/0.53 % (14450)Success in time 0.156 s
%------------------------------------------------------------------------------