%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:48:47 PM UTC 2026
% Result : Unsatisfiable 2.91s 1.46s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of formulae : 130 ( 7 unt; 5 def)
% Number of atoms : 565 ( 0 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 698 ( 263 ~; 430 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppppp) ).
fof(f2,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppppn) ).
fof(f3,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pppnp) ).
fof(f4,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pppnn) ).
fof(f5,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnpp) ).
fof(f6,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnpn) ).
fof(f7,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnnp) ).
fof(f8,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnnn) ).
fof(f9,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnppp) ).
fof(f10,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnppn) ).
fof(f11,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnpnp) ).
fof(f12,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnpnn) ).
fof(f13,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnpp) ).
fof(f14,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnpn) ).
fof(f15,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnnp) ).
fof(f16,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnnn) ).
fof(f17,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npppp) ).
fof(f18,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npppn) ).
fof(f19,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nppnp) ).
fof(f20,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nppnn) ).
fof(f21,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnpp) ).
fof(f22,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnpn) ).
fof(f23,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnnp) ).
fof(f24,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnnn) ).
fof(f25,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnppp) ).
fof(f26,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnppn) ).
fof(f27,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnpnp) ).
fof(f28,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnpnn) ).
fof(f29,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnpp) ).
fof(f30,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnpn) ).
fof(f31,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnnp) ).
fof(f32,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnnn) ).
fof(f34,definition,
( spl0_1
<=> p_5 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f37,definition,
( spl0_2
<=> p_4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f40,definition,
( spl0_3
<=> p_3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f43,definition,
( spl0_4
<=> p_2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f46,definition,
( spl0_5
<=> p_1 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f48,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f32,f46,f43,f40,f37,f34]) ).
fof(f50,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f31,f46,f43,f40,f37,f34]) ).
fof(f52,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f30,f46,f43,f40,f37,f34]) ).
fof(f53,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f29,f46,f43,f40,f37,f34]) ).
fof(f55,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f28,f46,f43,f40,f37,f34]) ).
fof(f56,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f27,f46,f43,f40,f37,f34]) ).
fof(f57,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f26,f46,f43,f40,f37,f34]) ).
fof(f58,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f25,f46,f43,f40,f37,f34]) ).
fof(f60,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f24,f46,f43,f40,f37,f34]) ).
fof(f61,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f23,f46,f43,f40,f37,f34]) ).
fof(f62,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f22,f46,f43,f40,f37,f34]) ).
fof(f63,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f21,f46,f43,f40,f37,f34]) ).
fof(f64,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f46,f43,f40,f37,f34]) ).
fof(f65,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f19,f46,f43,f40,f37,f34]) ).
fof(f66,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f18,f46,f43,f40,f37,f34]) ).
fof(f67,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f17,f46,f43,f40,f37,f34]) ).
fof(f69,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f46,f43,f40,f37,f34]) ).
fof(f70,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f46,f43,f40,f37,f34]) ).
fof(f71,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f46,f43,f40,f37,f34]) ).
fof(f72,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f46,f43,f40,f37,f34]) ).
fof(f73,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f46,f43,f40,f37,f34]) ).
fof(f74,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f11,f46,f43,f40,f37,f34]) ).
fof(f75,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f46,f43,f40,f37,f34]) ).
fof(f76,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f46,f43,f40,f37,f34]) ).
fof(f77,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f46,f43,f40,f37,f34]) ).
fof(f78,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f46,f43,f40,f37,f34]) ).
fof(f79,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f46,f43,f40,f37,f34]) ).
fof(f80,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f5,f46,f43,f40,f37,f34]) ).
fof(f81,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f46,f43,f40,f37,f34]) ).
fof(f82,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f3,f46,f43,f40,f37,f34]) ).
fof(f83,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f2,f46,f43,f40,f37,f34]) ).
fof(f84,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f1,f46,f43,f40,f37,f34]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f52]) ).
cnf(s4,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f55]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f56]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f57]) ).
cnf(s8,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f58]) ).
cnf(s9,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f60]) ).
cnf(s10,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f61]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f62]) ).
cnf(s12,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f63]) ).
cnf(s13,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f64]) ).
cnf(s14,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f65]) ).
cnf(s15,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f66]) ).
cnf(s16,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f67]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f69]) ).
cnf(s18,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f70]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f71]) ).
cnf(s20,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f72]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f73]) ).
cnf(s22,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f74]) ).
cnf(s23,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f75]) ).
cnf(s24,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f76]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f77]) ).
cnf(s26,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f78]) ).
cnf(s27,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f79]) ).
cnf(s28,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f80]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f81]) ).
cnf(s30,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f82]) ).
cnf(s31,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f83]) ).
cnf(s32,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s33,plain,
( spl0_4
| spl0_3
| spl0_1
| spl0_2 ),
inference(rat,[],[s32,s16]) ).
cnf(s34,plain,
( ~ spl0_4
| spl0_3
| spl0_1
| spl0_2 ),
inference(rat,[],[s8,s24]) ).
cnf(s35,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s34,s33]) ).
cnf(s36,plain,
( spl0_4
| ~ spl0_3
| spl0_1
| spl0_2 ),
inference(rat,[],[s12,s28]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_3
| spl0_1
| spl0_2 ),
inference(rat,[],[s20,s4]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s37,s36]) ).
cnf(s39,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s38,s35]) ).
cnf(s40,plain,
( spl0_4
| spl0_3
| spl0_1
| ~ spl0_2 ),
inference(rat,[],[s14,s30]) ).
cnf(s41,plain,
( ~ spl0_4
| spl0_3
| spl0_1
| ~ spl0_2 ),
inference(rat,[],[s6,s22]) ).
cnf(s42,plain,
( spl0_3
| ~ spl0_2
| spl0_1 ),
inference(rat,[],[s41,s40]) ).
cnf(s43,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_3
| spl0_1 ),
inference(rat,[],[s10,s26]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_3
| spl0_1
| ~ spl0_2 ),
inference(rat,[],[s18,s2]) ).
cnf(s45,plain,
( ~ spl0_2
| spl0_1
| ~ spl0_3 ),
inference(rat,[],[s44,s43]) ).
cnf(s46,plain,
( ~ spl0_2
| spl0_1 ),
inference(rat,[],[s45,s42]) ).
cnf(s47,plain,
spl0_1,
inference(rat,[],[s46,s39]) ).
cnf(s48,plain,
( spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s15,s31,s47]) ).
cnf(s49,plain,
( ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s7,s23,s47]) ).
cnf(s50,plain,
( spl0_3
| spl0_2 ),
inference(rat,[],[s49,s48]) ).
cnf(s51,plain,
( spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s11,s27,s47]) ).
cnf(s52,plain,
( ~ spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s3,s19,s47]) ).
cnf(s53,plain,
( ~ spl0_3
| spl0_2 ),
inference(rat,[],[s52,s51]) ).
cnf(s54,plain,
spl0_2,
inference(rat,[],[s53,s50]) ).
cnf(s55,plain,
( spl0_4
| spl0_3 ),
inference(rat,[],[s29,s13,s54,s47]) ).
cnf(s56,plain,
( ~ spl0_4
| spl0_3 ),
inference(rat,[],[s5,s21,s54,s47]) ).
cnf(s57,plain,
spl0_3,
inference(rat,[],[s56,s55]) ).
cnf(s58,plain,
spl0_4,
inference(rat,[],[s25,s9,s47,s54,s57]) ).
cnf(s59,plain,
spl0_5,
inference(rat,[],[s17,s57,s54,s47,s58]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s1,s54,s47,s57,s58,s59]) ).
fof(f85,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n015.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 15:22:17 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.29 Running first-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.46 % (2712627)Input is clausal, will run a generic CNF schedule.
% 2.91/1.46 % (2712632)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2486032399:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.46 % (2712638)dis-21_1_sil=8000:lcm=predicate:random_seed=1057238657:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.91/1.46 % (2712638)First to succeed.
% 2.91/1.46 % (2712638)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2712627"
% 2.91/1.46 % (2712637)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3467263133:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.46 % (2712635)lrs+10_1_sil=8000:sp=occurrence:random_seed=377279270:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.46 % (2712636)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2555091489:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.46 % (2712633)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4274920975:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.46 % (2712634)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3642693741:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.46 % (2712637)Also succeeded, but the first one will report.
% 2.91/1.46 % (2712636)Also succeeded, but the first one will report.
% 2.91/1.46 % (2712635)Also succeeded, but the first one will report.
% 2.91/1.46 % (2712638)Refutation found. Thanks to Tanya!
% 2.91/1.46 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 4.22/1.61 % (2712638)------------------------------
% 4.22/1.61 % (2712638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.22/1.61 % (2712638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.61 % (2712638)CaDiCaL version: 2.1.3
% 4.22/1.61 % (2712638)Termination reason: Refutation
% 4.22/1.61 % (2712638)Time elapsed: 0.003 s
% 4.22/1.61 % (2712638)Peak memory usage: 89 MB
% 4.22/1.61 % (2712638)Instructions burned: 3 (million)
% 4.22/1.61 % (2712638)------------------------------
% 4.22/1.61 % (2712638)------------------------------
% 4.22/1.61 % (2712627)Success in time 0.479 s
% 4.22/1.61 % Vampire exiting
%------------------------------------------------------------------------------