%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO620-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:32:14 PM UTC 2026
% Result : Unsatisfiable 0.80s 0.46s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 149 ( 19 unt; 4 def)
% Number of atoms : 452 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 530 ( 227 ~; 299 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 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 : 243 ( 0 sgn 243 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a0)
| eq(f(X0),a1)
| eq(f(X0),a2)
| eq(f(X0),a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a1)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a2)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0,X1] :
( ~ eq(f(X0),a3)
| ~ eq(f(X1),a3)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f9,plain,
! [X0] : ~ le(X0,X0),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f10,plain,
! [X2,X0,X1] :
( le(max(X0,X1),X2)
| ~ le(X0,X2) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f11,plain,
! [X2,X0,X1] :
( le(max(X0,X1),X2)
| ~ le(X1,X2) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f12,plain,
! [X0] :
( ~ eq(f(X0),a3)
| ~ eq(f(X0),a1)
| ~ eq(f(X0),a2)
| ~ eq(f(X0),a0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( le(s(X0),X1)
| eq(f(X1),a0)
| eq(f(X0),a0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( le(s(X0),X1)
| eq(f(X1),a1)
| eq(f(X0),a1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f15,plain,
! [X0,X1] :
( le(s(X0),X1)
| eq(f(X1),a2)
| eq(f(X0),a2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f16,plain,
! [X0,X1] :
( le(s(X0),X1)
| eq(f(X1),a3)
| eq(f(X0),a3) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f17,plain,
! [X0,X1] : ~ le(X0,max(X0,X1)),
inference(resolution,[],[f10,f9]) ).
fof(f18,plain,
! [X0,X1] : ~ le(X0,max(X1,X0)),
inference(resolution,[],[f11,f9]) ).
fof(f20,plain,
! [X0] :
( eq(f(s(X0)),a1)
| eq(f(X0),a1) ),
inference(resolution,[],[f14,f9]) ).
fof(f22,plain,
! [X2,X0,X1] : ~ le(X0,max(max(X1,X0),X2)),
inference(resolution,[],[f17,f11]) ).
fof(f23,plain,
! [X2,X0,X1] : ~ le(X0,max(max(X0,X1),X2)),
inference(resolution,[],[f17,f10]) ).
fof(f24,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a2)
| eq(f(X0),a2) ),
inference(resolution,[],[f17,f15]) ).
fof(f25,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| eq(f(X0),a1) ),
inference(resolution,[],[f17,f14]) ).
fof(f26,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a0) ),
inference(resolution,[],[f17,f13]) ).
fof(f27,plain,
! [X0] :
( eq(f(s(X0)),a3)
| eq(f(X0),a3) ),
inference(resolution,[],[f16,f9]) ).
fof(f28,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a3)
| eq(f(X0),a3) ),
inference(resolution,[],[f16,f17]) ).
fof(f29,plain,
! [X2,X0,X1] : ~ le(X0,max(X1,max(X2,X0))),
inference(resolution,[],[f18,f11]) ).
fof(f30,plain,
! [X2,X0,X1] : ~ le(X0,max(X1,max(X0,X2))),
inference(resolution,[],[f18,f10]) ).
fof(f31,plain,
! [X0,X1] :
( eq(f(max(X0,s(X1))),a3)
| eq(f(X1),a3) ),
inference(resolution,[],[f18,f16]) ).
fof(f32,plain,
! [X0,X1] :
( eq(f(max(X0,s(X1))),a2)
| eq(f(X1),a2) ),
inference(resolution,[],[f18,f15]) ).
fof(f34,plain,
! [X0,X1] :
( eq(f(max(X0,s(X1))),a0)
| eq(f(X1),a0) ),
inference(resolution,[],[f18,f13]) ).
fof(f39,plain,
! [X2,X0,X1] :
( eq(f(max(max(X0,s(X1)),X2)),a1)
| eq(f(X1),a1) ),
inference(resolution,[],[f22,f14]) ).
fof(f41,plain,
! [X0] :
( ~ eq(f(s(X0)),a2)
| ~ eq(f(s(X0)),a1)
| eq(f(X0),a3)
| ~ eq(f(s(X0)),a0) ),
inference(resolution,[],[f27,f12]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : ~ le(X0,max(max(max(X0,X1),X2),X3)),
inference(resolution,[],[f23,f10]) ).
fof(f45,plain,
! [X2,X0,X1] :
( eq(f(max(max(s(X0),X1),X2)),a2)
| eq(f(X0),a2) ),
inference(resolution,[],[f23,f15]) ).
fof(f51,plain,
! [X2,X0,X1] :
( eq(f(max(X0,max(X1,s(X2)))),a2)
| eq(f(X2),a2) ),
inference(resolution,[],[f29,f15]) ).
fof(f52,plain,
! [X2,X0,X1] :
( eq(f(max(X0,max(X1,s(X2)))),a1)
| eq(f(X2),a1) ),
inference(resolution,[],[f29,f14]) ).
fof(f53,plain,
! [X2,X0,X1] :
( eq(f(max(X0,max(X1,s(X2)))),a0)
| eq(f(X2),a0) ),
inference(resolution,[],[f29,f13]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : ~ le(X0,max(X1,max(max(X2,X0),X3))),
inference(resolution,[],[f30,f11]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : ~ le(X0,max(X1,max(max(X0,X2),X3))),
inference(resolution,[],[f30,f10]) ).
fof(f57,plain,
! [X2,X0,X1] :
( eq(f(max(X0,max(s(X1),X2))),a2)
| eq(f(X1),a2) ),
inference(resolution,[],[f30,f15]) ).
fof(f58,plain,
! [X2,X0,X1] :
( eq(f(max(X0,max(s(X1),X2))),a1)
| eq(f(X1),a1) ),
inference(resolution,[],[f30,f14]) ).
fof(f59,plain,
! [X2,X0,X1] :
( eq(f(max(X0,max(s(X1),X2))),a0)
| eq(f(X1),a0) ),
inference(resolution,[],[f30,f13]) ).
fof(f72,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a2)
| ~ eq(f(max(s(X0),X1)),a1)
| eq(f(X0),a3)
| ~ eq(f(max(s(X0),X1)),a0) ),
inference(resolution,[],[f28,f12]) ).
fof(f73,plain,
! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a2)
| ~ eq(f(max(X1,s(X0))),a1)
| eq(f(X0),a3)
| ~ eq(f(max(X1,s(X0))),a0) ),
inference(resolution,[],[f31,f12]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4] : ~ le(X0,max(max(max(max(X0,X1),X2),X3),X4)),
inference(resolution,[],[f43,f10]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( eq(f(max(X0,max(max(X1,s(X2)),X3))),a1)
| eq(f(X2),a1) ),
inference(resolution,[],[f54,f14]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4] : ~ le(X0,max(X1,max(max(max(X0,X2),X3),X4))),
inference(resolution,[],[f55,f10]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( eq(f(max(X0,max(max(s(X1),X2),X3))),a0)
| eq(f(X1),a0) ),
inference(resolution,[],[f55,f13]) ).
fof(f160,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,[],[f72,f51]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X4] :
( eq(f(max(max(max(max(s(X0),X1),X2),X3),X4)),a1)
| eq(f(X0),a1) ),
inference(resolution,[],[f82,f14]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ eq(f(max(max(s(X0),X1),s(X2))),a1)
| eq(f(X2),a3)
| ~ eq(f(max(max(s(X0),X1),s(X2))),a0)
| eq(f(X0),a2) ),
inference(resolution,[],[f73,f45]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( eq(f(max(X0,max(max(max(s(X1),X2),X3),X4))),a0)
| eq(f(X1),a0) ),
inference(resolution,[],[f106,f13]) ).
fof(f434,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,[],[f160,f103]) ).
fof(f775,definition,
( spl0_1
<=> ! [X1] : eq(f(X1),a0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f776,plain,
( ! [X1] : eq(f(X1),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f836,definition,
( spl0_5
<=> ! [X1] : eq(f(X1),a1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f837,plain,
( ! [X1] : eq(f(X1),a1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f846,plain,
( ! [X0] :
( ~ eq(f(X0),a2)
| ~ eq(f(X0),a3)
| ~ eq(f(X0),a0) )
| ~ spl0_5 ),
inference(backward_subsumption_resolution,[],[f12,f837]) ).
fof(f848,plain,
( ! [X0] :
( ~ eq(f(s(X0)),a2)
| eq(f(X0),a3)
| ~ eq(f(s(X0)),a0) )
| ~ spl0_5 ),
inference(backward_subsumption_resolution,[],[f41,f837]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a2)
| eq(f(X0),a3)
| ~ eq(f(max(s(X0),X1)),a0) )
| ~ spl0_5 ),
inference(backward_subsumption_resolution,[],[f72,f837]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( ~ eq(f(max(s(X0),max(X1,s(X2)))),a0)
| eq(f(X0),a3)
| eq(f(X2),a2) )
| ~ spl0_5 ),
inference(backward_subsumption_resolution,[],[f160,f837]) ).
fof(f864,plain,
( ! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ eq(f(max(s(X0),X1)),a3)
| eq(f(X0),a2) )
| ~ spl0_5 ),
inference(resolution,[],[f846,f24]) ).
fof(f865,plain,
( ! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ eq(f(max(X0,s(X1))),a3)
| eq(f(X1),a2) )
| ~ spl0_5 ),
inference(resolution,[],[f846,f32]) ).
fof(f1017,definition,
( spl0_7
<=> ! [X1] : eq(f(X1),a3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1018,plain,
( ! [X1] : eq(f(X1),a3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a2) )
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_subsumption_resolution,[],[f864,f1018]) ).
fof(f1039,plain,
( ! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| eq(f(X1),a2) )
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_subsumption_resolution,[],[f865,f1018]) ).
fof(f1042,plain,
( ! [X0] :
( ~ eq(f(X0),a2)
| ~ eq(f(X0),a0) )
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_subsumption_resolution,[],[f846,f1018]) ).
fof(f1093,definition,
( spl0_9
<=> ! [X0] : eq(f(X0),a2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1094,plain,
( ! [X0] : eq(f(X0),a2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1110,plain,
( ! [X0,X1] :
( eq(f(X0),a2)
| eq(f(X1),a0) )
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f1039,f26]) ).
fof(f1140,plain,
( spl0_1
| spl0_9
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1110,f1017,f836,f1093,f775]) ).
fof(f1141,plain,
( ! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a3) )
| ~ spl0_5
| ~ spl0_9 ),
inference(backward_subsumption_resolution,[],[f850,f1094]) ).
fof(f1143,plain,
( ! [X0] :
( ~ eq(f(s(X0)),a0)
| eq(f(X0),a3) )
| ~ spl0_5
| ~ spl0_9 ),
inference(backward_subsumption_resolution,[],[f848,f1094]) ).
fof(f1144,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_subsumption_resolution,[],[f1042,f1094]) ).
fof(f1176,plain,
( ! [X2,X3,X0,X1,X4] : eq(f(max(X0,max(max(max(s(X1),X2),X3),X4))),a0)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_subsumption_resolution,[],[f219,f1144]) ).
fof(f1240,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1176,f1144]) ).
fof(f1241,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1242,plain,
( ! [X0] : eq(f(X0),a2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_subsumption_resolution,[],[f1038,f776]) ).
fof(f1252,plain,
( spl0_9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1242,f1017,f836,f775,f1093]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( eq(f(X0),a3)
| eq(f(X1),a2)
| eq(f(X2),a0) )
| ~ spl0_5 ),
inference(resolution,[],[f853,f59]) ).
fof(f1465,plain,
( spl0_1
| spl0_9
| spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1460,f836,f1017,f1093,f775]) ).
fof(f1473,plain,
( ! [X2,X0] :
( eq(f(X0),a3)
| eq(f(X2),a2) )
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_subsumption_resolution,[],[f853,f776]) ).
fof(f1478,plain,
( spl0_9
| spl0_7
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1473,f836,f775,f1017,f1093]) ).
fof(f1479,plain,
( ! [X0] : eq(f(X0),a3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1143,f776]) ).
fof(f1482,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1479,f1093,f836,f775,f1017]) ).
fof(f1536,plain,
( ! [X0,X1] :
( eq(f(X0),a3)
| eq(f(X1),a0) )
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f1141,f34]) ).
fof(f1549,plain,
( spl0_1
| spl0_7
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1536,f1093,f836,f1017,f775]) ).
fof(f1554,plain,
( ! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a0)
| eq(f(X0),a3)
| ~ eq(f(max(X1,s(X0))),a1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f73,f1094]) ).
fof(f1555,plain,
( ! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a3)
| ~ eq(f(max(s(X0),X1)),a1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f72,f1094]) ).
fof(f1557,plain,
( ! [X0] :
( ~ eq(f(X0),a0)
| ~ eq(f(X0),a1)
| ~ eq(f(X0),a3) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f12,f1094]) ).
fof(f1560,plain,
( ! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a1)
| ~ eq(f(max(X0,s(X1))),a3)
| eq(f(X1),a0) )
| ~ spl0_9 ),
inference(resolution,[],[f1557,f34]) ).
fof(f1604,plain,
( ! [X2,X0,X1] :
( ~ eq(f(max(s(X0),max(X1,s(X2)))),a1)
| eq(f(X0),a3)
| eq(f(X2),a0) )
| ~ spl0_9 ),
inference(resolution,[],[f1555,f53]) ).
fof(f1669,plain,
( ! [X0] :
( ~ eq(f(X0),a1)
| ~ eq(f(X0),a3) )
| ~ spl0_1
| ~ spl0_9 ),
inference(backward_subsumption_resolution,[],[f1557,f776]) ).
fof(f1671,plain,
( ! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a1)
| eq(f(X0),a3) )
| ~ spl0_1
| ~ spl0_9 ),
inference(backward_subsumption_resolution,[],[f1554,f776]) ).
fof(f1673,plain,
( ! [X0] :
( ~ eq(f(s(X0)),a3)
| eq(f(X0),a1) )
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f1669,f20]) ).
fof(f1712,plain,
( ! [X0,X1] :
( eq(f(X0),a3)
| eq(f(X1),a1) )
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f1671,f25]) ).
fof(f1743,plain,
( spl0_5
| spl0_7
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1712,f1093,f775,f1017,f836]) ).
fof(f1746,plain,
( ! [X2,X0,X1] :
( ~ eq(f(max(max(s(X0),X1),s(X2))),a1)
| eq(f(X2),a3)
| eq(f(X0),a2) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f183,f776]) ).
fof(f1757,plain,
( ! [X0] :
( ~ eq(f(X0),a2)
| ~ eq(f(X0),a1)
| ~ eq(f(X0),a3) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f12,f776]) ).
fof(f1760,plain,
( ! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a1)
| ~ eq(f(max(X0,s(X1))),a3)
| eq(f(X1),a2) )
| ~ spl0_1 ),
inference(resolution,[],[f1757,f32]) ).
fof(f1913,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ eq(f(max(max(max(max(s(X0),X1),X2),X3),s(X4))),a3)
| eq(f(X4),a2)
| eq(f(X0),a1) )
| ~ spl0_1 ),
inference(resolution,[],[f1760,f166]) ).
fof(f1972,plain,
( ! [X2,X0,X1] :
( eq(f(X0),a3)
| eq(f(X1),a2)
| eq(f(X2),a1) )
| ~ spl0_1 ),
inference(resolution,[],[f1746,f39]) ).
fof(f1987,plain,
( spl0_5
| spl0_9
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1972,f775,f1017,f1093,f836]) ).
fof(f2479,plain,
! [X2,X3,X0,X1] :
( eq(f(X0),a3)
| eq(f(X1),a2)
| eq(f(X2),a1)
| eq(f(X3),a0) ),
inference(resolution,[],[f434,f110]) ).
fof(f2485,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f2479,f1017,f1093,f836,f775]) ).
fof(f2592,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ eq(f(max(max(max(max(s(X0),X1),X2),X3),s(X4))),a3)
| eq(f(X4),a0)
| eq(f(X0),a1) )
| ~ spl0_9 ),
inference(resolution,[],[f1560,f166]) ).
fof(f2646,plain,
( ! [X2,X0,X1] :
( eq(f(X0),a3)
| eq(f(X1),a0)
| eq(f(X2),a1) )
| ~ spl0_9 ),
inference(resolution,[],[f1604,f58]) ).
fof(f2660,plain,
( spl0_5
| spl0_1
| spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2646,f1093,f1017,f775,f836]) ).
fof(f2669,plain,
( ! [X0] :
( ~ eq(f(X0),a0)
| ~ eq(f(X0),a2)
| ~ eq(f(X0),a1) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f12,f1018]) ).
fof(f2671,plain,
( ! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(max(s(X0),X1)),a2)
| eq(f(X0),a0) )
| ~ spl0_7 ),
inference(resolution,[],[f2669,f26]) ).
fof(f2705,plain,
( ! [X2,X0,X1] :
( ~ eq(f(max(s(X0),max(X1,s(X2)))),a2)
| eq(f(X0),a0)
| eq(f(X2),a1) )
| ~ spl0_7 ),
inference(resolution,[],[f2671,f52]) ).
fof(f2759,plain,
( ! [X2,X0,X1] :
( eq(f(X0),a0)
| eq(f(X1),a1)
| eq(f(X2),a2) )
| ~ spl0_7 ),
inference(resolution,[],[f2705,f57]) ).
fof(f2774,plain,
( spl0_9
| spl0_5
| spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2759,f1017,f775,f836,f1093]) ).
fof(f2836,plain,
( ! [X0,X4] :
( eq(f(X4),a2)
| eq(f(X0),a1) )
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1913,f1018]) ).
fof(f2866,plain,
( spl0_5
| spl0_9
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2836,f1017,f775,f1093,f836]) ).
fof(f2914,plain,
( ! [X0] : eq(f(X0),a1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1673,f1018]) ).
fof(f3000,plain,
( ! [X0,X4] :
( eq(f(X4),a0)
| eq(f(X0),a1) )
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2592,f1018]) ).
fof(f3033,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2914,f1093,f1017,f775,f836]) ).
fof(f3061,plain,
( spl0_5
| spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3000,f1093,f1017,f775,f836]) ).
cnf(s100,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s131,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s132,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s139,plain,
( spl0_1
| ~ spl0_5
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s142,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s143,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s152,plain,
( spl0_1
| ~ spl0_5
| spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s169,plain,
( ~ spl0_1
| spl0_5
| spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s191,plain,
( ~ spl0_1
| spl0_5
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s194,plain,
( spl0_1
| spl0_5
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f2485]) ).
cnf(s215,plain,
( spl0_1
| spl0_5
| spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s224,plain,
( spl0_1
| spl0_5
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f2774]) ).
cnf(s254,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f2866]) ).
cnf(s287,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f3033]) ).
cnf(s345,plain,
( spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f3061]) ).
cnf(s346,plain,
( spl0_7
| spl0_5
| spl0_1 ),
inference(rat,[],[s194,s215]) ).
cnf(s347,plain,
( ~ spl0_7
| spl0_5
| spl0_1 ),
inference(rat,[],[s224,s345]) ).
cnf(s348,plain,
( spl0_5
| spl0_1 ),
inference(rat,[],[s347,s346]) ).
cnf(s349,plain,
( spl0_7
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s139,s152]) ).
cnf(s350,plain,
( ~ spl0_5
| spl0_1 ),
inference(rat,[],[s100,s131,s349]) ).
cnf(s351,plain,
spl0_1,
inference(rat,[],[s350,s348]) ).
cnf(s352,plain,
( spl0_7
| spl0_5 ),
inference(rat,[],[s169,s191,s351]) ).
cnf(s353,plain,
( ~ spl0_7
| spl0_5 ),
inference(rat,[],[s254,s287,s351]) ).
cnf(s354,plain,
spl0_5,
inference(rat,[],[s353,s352]) ).
cnf(s356,plain,
spl0_7,
inference(rat,[],[s142,s143,s351,s354]) ).
cnf(s357,plain,
~ spl0_9,
inference(rat,[],[s131,s354,s356]) ).
cnf(s359,plain,
$false,
inference(rat,[],[s132,s354,s351,s357,s356]) ).
fof(f3062,plain,
$false,
inference(avatar_sat_refutation,[],[s359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO620-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.25 % Computer : n002.cluster.edu
% 0.14/0.25 % Model : x86_64 x86_64
% 0.14/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.25 % Memory : 8046.5625MB
% 0.14/0.25 % OS : Linux 6.8.0-71-generic
% 0.14/0.25 % CPULimit : 300
% 0.14/0.25 % WCLimit : 300
% 0.14/0.25 % DateTime : Mon Sep 28 17:59:53 UTC 2026
% 0.14/0.25 % CPUTime :
% 0.14/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.29 Running first-order model finding
% 0.14/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.46 % (597104)Will run a generic schedule for satisfiability detection.
% 0.80/0.46 % (597112)dis+10_1_sil=32000:sp=arity:random_seed=3185279838:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.46 % (597110)% WARNING: option uhcvi not known.
% 0.80/0.46 % (597115)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=986151656:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.46 % (597110)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=662485518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.46 % (597111)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1626303554:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.46 % (597114)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2312094466:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.46 % (597109)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3266265297_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.46 % (597113)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=985732501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.46 % TRYING [1]
% 0.80/0.46 % TRYING [2]
% 0.80/0.46 % TRYING [3]
% 0.80/0.46 % TRYING [4]
% 0.80/0.46 % TRYING [5]
% 0.80/0.46 % (597112)Instruction limit reached!
% 0.80/0.46 % (597112)------------------------------
% 0.80/0.46 % (597112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.46 % (597112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.46 % (597112)CaDiCaL version: 2.1.3
% 0.80/0.46 % (597112)Termination reason: Instruction limit
% 0.80/0.46 % (597112)Termination phase: Saturation
% 0.80/0.46 % (597112)Time elapsed: 0.050 s
% 0.80/0.46 % (597112)Peak memory usage: 11 MB
% 0.80/0.46 % (597112)Instructions burned: 103 (million)
% 0.80/0.46 % TRYING [6]
% 0.80/0.46 % (597123)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4196212560:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.46 % TRYING [1]
% 0.80/0.46 % TRYING [2]
% 0.80/0.46 % TRYING [3]
% 0.80/0.46 % TRYING [4]
% 0.80/0.46 % TRYING [5]
% 0.80/0.46 % TRYING [6]
% 0.80/0.46 % (597115)Instruction limit reached!
% 0.80/0.46 % (597115)------------------------------
% 0.80/0.46 % (597115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.46 % (597115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.46 % (597115)CaDiCaL version: 2.1.3
% 0.80/0.46 % (597115)Termination reason: Instruction limit
% 0.80/0.46 % (597115)Termination phase: Saturation
% 0.80/0.46 % (597115)Time elapsed: 0.105 s
% 0.80/0.46 % (597115)Peak memory usage: 12 MB
% 0.80/0.46 % (597115)Instructions burned: 160 (million)
% 0.80/0.46 % (597114)Instruction limit reached!
% 0.80/0.46 % (597114)------------------------------
% 0.80/0.46 % (597114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.46 % (597114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.46 % (597114)CaDiCaL version: 2.1.3
% 0.80/0.46 % (597114)Termination reason: Instruction limit
% 0.80/0.46 % (597114)Termination phase: Saturation
% 0.80/0.46 % (597114)Time elapsed: 0.106 s
% 0.80/0.46 % (597114)Peak memory usage: 11 MB
% 0.80/0.46 % (597114)Instructions burned: 131 (million)
% 0.80/0.46 % (597113)Instruction limit reached!
% 0.80/0.46 % (597113)------------------------------
% 0.80/0.46 % (597113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.46 % (597113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.46 % (597113)CaDiCaL version: 2.1.3
% 0.80/0.46 % (597113)Termination reason: Instruction limit
% 0.80/0.46 % (597113)Termination phase: Saturation
% 0.80/0.46 % (597113)Time elapsed: 0.107 s
% 0.80/0.46 % (597113)Peak memory usage: 12 MB
% 0.80/0.46 % (597113)Instructions burned: 116 (million)
% 0.80/0.46 % TRYING [7]
% 0.80/0.46 % (597110) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-597104-597110"...
% 0.80/0.46 % TRYING [7]
% 0.80/0.46 % (597110)...printing done.
% 0.80/0.46 % (597110)Refutation found. Thanks to Tanya!
% 0.80/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.46 % (597110)------------------------------
% 0.80/0.46 % (597110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.46 % (597110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.46 % (597110)CaDiCaL version: 2.1.3
% 0.80/0.46 % (597110)Termination reason: Refutation
% 0.80/0.46 % (597110)Time elapsed: 0.124 s
% 0.80/0.46 % (597110)Peak memory usage: 13 MB
% 0.80/0.46 % (597110)Instructions burned: 136 (million)
% 0.80/0.46 % (597104)Success in time 0.164 s
% 0.80/0.46 % Vampire exiting
%------------------------------------------------------------------------------