%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN067-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:06:39 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 53
% Syntax : Number of formulae : 240 ( 11 unt; 22 def)
% Number of atoms : 922 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1194 ( 512 ~; 660 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 217 ( 0 sgn 217 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_p(sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(X0,sk4(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(X1,sk2(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(X1,sk2(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X1,sk2(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_7) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(X0,sk2(X0))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_13) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(sk2(X1),sk1(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_15) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_25) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_28) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(X1,sk6(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_31) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(X0,sk2(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( big_r(sk2(X0),sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_36) ).
fof(f37,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_37) ).
fof(f38,negated_conjecture,
( big_p(sk10)
| big_p(sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_38) ).
fof(f39,negated_conjecture,
( big_p(sk8)
| big_r(sk9,sk10)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_39) ).
fof(f40,negated_conjecture,
( big_p(sk10)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_40) ).
fof(f41,negated_conjecture,
( big_r(sk7,sk8)
| big_r(sk9,sk10)
| ~ big_p(sk7)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_41) ).
fof(f42,negated_conjecture,
! [X0,X1] :
( big_p(sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_r(X1,X0)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_42) ).
fof(f43,negated_conjecture,
! [X0,X1] :
( big_r(sk7,sk8)
| ~ big_p(X0)
| ~ big_p(sk7)
| ~ big_r(X1,X0)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_43) ).
fof(f44,negated_conjecture,
! [X0,X1] :
( big_p(sk10)
| ~ big_p(X0)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_44) ).
fof(f45,negated_conjecture,
! [X0,X1] :
( big_r(sk9,sk10)
| ~ big_p(X0)
| ~ big_p(sk9)
| ~ big_r(X1,X0)
| ~ big_r(sk7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_p(X0)
| ~ big_p(X1)
| ~ big_r(X2,X0)
| ~ big_r(X3,X1)
| ~ big_r(sk7,X3)
| ~ big_r(sk9,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_46) ).
fof(f48,definition,
( spl0_1
<=> ! [X1,X3] :
( ~ big_p(X1)
| ~ big_r(sk7,X3)
| ~ big_r(X3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( ! [X3,X1] :
( ~ big_r(sk7,X3)
| ~ big_r(X3,X1)
| ~ big_p(X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,definition,
( spl0_2
<=> ! [X2,X0] :
( ~ big_p(X0)
| ~ big_r(sk9,X2)
| ~ big_r(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( ! [X2,X0] :
( ~ big_r(sk9,X2)
| ~ big_r(X2,X0)
| ~ big_p(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f46,f51,f48]) ).
fof(f55,definition,
( spl0_3
<=> big_p(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f57,plain,
( ~ big_p(sk9)
| spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_4
<=> big_r(sk9,sk10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( big_r(sk9,sk10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( ~ spl0_3
| spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f45,f59,f48,f55]) ).
fof(f64,definition,
( spl0_5
<=> big_p(sk10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f66,plain,
( big_p(sk10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( ~ spl0_3
| spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f64,f48,f55]) ).
fof(f69,definition,
( spl0_6
<=> big_p(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f71,plain,
( ~ big_p(sk7)
| spl0_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl0_7
<=> big_r(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f75,plain,
( big_r(sk7,sk8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( ~ spl0_6
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f43,f73,f51,f69]) ).
fof(f78,definition,
( spl0_8
<=> big_p(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f81,plain,
( ~ spl0_6
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f78,f51,f69]) ).
fof(f82,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f41,f73,f59,f69,f55]) ).
fof(f83,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f40,f64,f73,f69,f55]) ).
fof(f84,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f39,f78,f59,f69,f55]) ).
fof(f85,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f64,f78,f69,f55]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( big_r(sk2(X0),sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
inference(forward_subsumption_resolution,[],[f36,f37]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( big_r(X0,sk2(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
inference(forward_subsumption_resolution,[],[f35,f37]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
inference(forward_subsumption_resolution,[],[f34,f37]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
inference(forward_subsumption_resolution,[],[f33,f37]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
inference(forward_subsumption_resolution,[],[f32,f37]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( big_r(X0,sk6(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
inference(forward_subsumption_resolution,[],[f31,f37]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_r(X1,sk6(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
inference(forward_subsumption_resolution,[],[f30,f37]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( big_p(sk5(X0))
| big_r(X1,sk2(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X2)
| ~ big_r(X1,X3) ),
inference(forward_subsumption_resolution,[],[f29,f37]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3) ),
inference(forward_subsumption_resolution,[],[f28,f37]) ).
fof(f97,plain,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
inference(forward_subsumption_resolution,[],[f25,f37]) ).
fof(f107,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(sk2(X1),sk1(X1))
| big_r(sk4(X0),sk3(X0)) ),
inference(forward_subsumption_resolution,[],[f15,f37]) ).
fof(f108,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(sk2(X1),sk1(X1)) ),
inference(forward_subsumption_resolution,[],[f14,f37]) ).
fof(f109,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(sk2(X1),sk1(X1)) ),
inference(forward_subsumption_resolution,[],[f13,f37]) ).
fof(f112,plain,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk5(X1))
| big_r(X0,sk2(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
inference(forward_subsumption_resolution,[],[f10,f37]) ).
fof(f115,plain,
! [X2,X0,X1] :
( big_p(X0)
| big_p(sk1(X0))
| big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
inference(forward_subsumption_resolution,[],[f7,f37]) ).
fof(f116,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X1,sk2(X1))
| big_r(sk4(X0),sk3(X0)) ),
inference(forward_subsumption_resolution,[],[f6,f37]) ).
fof(f117,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,sk4(X0))
| big_r(X1,sk2(X1)) ),
inference(forward_subsumption_resolution,[],[f5,f37]) ).
fof(f118,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk3(X0))
| big_r(X1,sk2(X1)) ),
inference(forward_subsumption_resolution,[],[f4,f37]) ).
fof(f119,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(sk4(X0),sk3(X0)) ),
inference(forward_subsumption_resolution,[],[f3,f37]) ).
fof(f120,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_r(X0,sk4(X0)) ),
inference(forward_subsumption_resolution,[],[f2,f37]) ).
fof(f121,plain,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_p(sk1(X1))
| big_p(sk3(X0)) ),
inference(forward_subsumption_resolution,[],[f1,f37]) ).
fof(f123,definition,
( spl0_9
<=> ! [X2,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f124,plain,
( ! [X2,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl0_10
<=> ! [X0,X3] :
( big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f127,plain,
( ! [X3,X0] :
( big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f86,f126,f123]) ).
fof(f130,definition,
( spl0_11
<=> ! [X0,X3] :
( big_r(X0,sk2(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f131,plain,
( ! [X3,X0] :
( big_r(X0,sk2(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f87,f130,f123]) ).
fof(f134,definition,
( spl0_12
<=> ! [X0,X3] :
( big_p(sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f135,plain,
( ! [X3,X0] :
( ~ big_r(X0,X3)
| big_p(sk1(X0))
| ~ big_p(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f88,f134,f123]) ).
fof(f138,definition,
( spl0_13
<=> ! [X2,X0] :
( big_r(X0,sk6(X0))
| ~ big_r(X0,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f139,plain,
( ! [X2,X0] :
( big_r(X0,sk6(X0))
| ~ big_r(X0,X2)
| ~ big_p(X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f89,f138,f126]) ).
fof(f142,definition,
( spl0_14
<=> ! [X2,X0] :
( big_p(sk5(X0))
| ~ big_r(X0,X2)
| ~ big_p(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f143,plain,
( ! [X2,X0] :
( ~ big_r(X0,X2)
| big_p(sk5(X0))
| ~ big_p(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f90,f142,f126]) ).
fof(f145,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f91,f138,f130]) ).
fof(f146,plain,
( spl0_13
| spl0_12 ),
inference(avatar_split_clause,[],[f92,f134,f138]) ).
fof(f147,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f93,f142,f130]) ).
fof(f148,plain,
( spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f94,f134,f142]) ).
fof(f150,definition,
( spl0_15
<=> ! [X0] :
( big_p(X0)
| big_r(sk2(X0),sk1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f151,plain,
( ! [X0] :
( big_r(sk2(X0),sk1(X0))
| big_p(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f97,f150,f142]) ).
fof(f156,definition,
( spl0_16
<=> ! [X0] :
( big_p(X0)
| big_r(sk4(X0),sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0] :
( big_r(sk4(X0),sk3(X0))
| big_p(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f162,definition,
( spl0_17
<=> ! [X0] :
( big_p(X0)
| big_r(X0,sk4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f163,plain,
( ! [X0] :
( big_r(X0,sk4(X0))
| big_p(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl0_18
<=> ! [X0] :
( big_p(X0)
| big_p(sk3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f167,plain,
( ! [X0] :
( big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f173,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f107,f156,f150]) ).
fof(f174,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f108,f162,f150]) ).
fof(f175,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f109,f166,f150]) ).
fof(f177,definition,
( spl0_19
<=> ! [X0] :
( big_p(X0)
| big_r(X0,sk2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f178,plain,
( ! [X0] :
( big_r(X0,sk2(X0))
| big_p(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f181,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f112,f177,f142]) ).
fof(f183,definition,
( spl0_20
<=> ! [X0] :
( big_p(X0)
| big_p(sk1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f184,plain,
( ! [X0] :
( big_p(sk1(X0))
| big_p(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f187,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f115,f183,f142]) ).
fof(f188,plain,
( spl0_19
| spl0_16 ),
inference(avatar_split_clause,[],[f116,f156,f177]) ).
fof(f189,plain,
( spl0_19
| spl0_17 ),
inference(avatar_split_clause,[],[f117,f162,f177]) ).
fof(f190,plain,
( spl0_19
| spl0_18 ),
inference(avatar_split_clause,[],[f118,f166,f177]) ).
fof(f191,plain,
( spl0_20
| spl0_16 ),
inference(avatar_split_clause,[],[f119,f156,f183]) ).
fof(f192,plain,
( spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f120,f162,f183]) ).
fof(f193,plain,
( spl0_20
| spl0_18 ),
inference(avatar_split_clause,[],[f121,f166,f183]) ).
fof(f195,plain,
( ! [X0] :
( ~ big_r(sk9,sk4(X0))
| ~ big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f52,f157]) ).
fof(f196,plain,
( ! [X0] :
( ~ big_r(sk9,sk4(X0))
| big_p(X0) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f195,f167]) ).
fof(f197,plain,
( big_p(sk9)
| big_p(sk9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f196,f163]) ).
fof(f202,plain,
( ! [X0] :
( big_p(X0)
| ~ big_r(sk9,sk2(X0))
| ~ big_p(sk1(X0)) )
| ~ spl0_2
| ~ spl0_15 ),
inference(resolution,[],[f151,f52]) ).
fof(f203,plain,
( ! [X0] :
( ~ big_r(sk9,sk2(X0))
| big_p(X0) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f202,f184]) ).
fof(f204,plain,
( big_p(sk9)
| big_p(sk9)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(resolution,[],[f203,f178]) ).
fof(f205,plain,
( big_p(sk9)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f206,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f205,f57]) ).
fof(f207,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f210,plain,
( ! [X0] :
( ~ big_r(sk7,sk4(X0))
| ~ big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f49,f157]) ).
fof(f211,plain,
( ! [X0] :
( ~ big_r(sk7,sk2(X0))
| ~ big_p(sk1(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_15 ),
inference(resolution,[],[f49,f151]) ).
fof(f212,plain,
( ! [X0] :
( ~ big_r(sk7,sk2(X0))
| big_p(X0) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f211,f184]) ).
fof(f218,plain,
( big_p(sk7)
| big_p(sk7)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(resolution,[],[f212,f178]) ).
fof(f219,plain,
( big_p(sk7)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f220,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f219,f71]) ).
fof(f221,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f244,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_r(sk7,sk6(X0))
| ~ big_p(sk5(X0)) )
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f124,f49]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_r(sk7,sk6(X0))
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f244,f143]) ).
fof(f248,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_r(sk7,sk2(X0))
| ~ big_p(sk1(X0)) )
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f127,f49]) ).
fof(f253,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_r(sk7,sk2(X0))
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f248,f135]) ).
fof(f260,definition,
( spl0_21
<=> ! [X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( ! [X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f295,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| big_p(sk7)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17 ),
inference(resolution,[],[f210,f163]) ).
fof(f296,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f305,plain,
( ! [X0,X1] :
( ~ big_r(sk7,X0)
| ~ big_p(X0)
| ~ big_r(sk7,X1)
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f245,f139]) ).
fof(f306,plain,
( spl0_21
| spl0_21
| ~ spl0_1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f305,f142,f138,f123,f48,f260,f260]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ big_r(sk7,X0)
| ~ big_p(X0)
| ~ big_r(sk7,X1)
| ~ big_p(X1) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f253,f131]) ).
fof(f369,plain,
( spl0_21
| spl0_21
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f367,f134,f130,f126,f48,f260,f260]) ).
fof(f373,plain,
( ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f261,f75]) ).
fof(f380,plain,
( big_p(sk7)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f296,f167]) ).
fof(f391,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f380,f71]) ).
fof(f392,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f394,plain,
( big_p(sk9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f395,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f394,f166,f162,f156,f51,f55]) ).
fof(f436,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f373,f260,f73,f78]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ big_r(sk9,sk2(X0))
| ~ big_p(sk1(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f52,f127]) ).
fof(f465,plain,
( ! [X0,X1] :
( ~ big_r(sk9,sk6(X0))
| ~ big_p(sk5(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f52,f124]) ).
fof(f468,plain,
( ! [X0,X1] :
( ~ big_r(sk9,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f465,f143]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ big_r(sk9,sk2(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f463,f135]) ).
fof(f492,definition,
( spl0_38
<=> ! [X0] :
( ~ big_r(sk9,X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f493,plain,
( ! [X0] :
( ~ big_r(sk9,X0)
| ~ big_p(X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f531,plain,
( ! [X0,X1] :
( ~ big_r(sk9,X0)
| ~ big_p(X0)
| ~ big_r(sk9,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f468,f139]) ).
fof(f544,plain,
( spl0_38
| spl0_38
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f531,f142,f138,f123,f51,f492,f492]) ).
fof(f546,plain,
( ! [X0,X1] :
( ~ big_r(sk9,X0)
| ~ big_p(X0)
| ~ big_r(sk9,X1)
| ~ big_p(X1) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f469,f131]) ).
fof(f559,plain,
( ~ big_p(sk10)
| ~ spl0_4
| ~ spl0_38 ),
inference(resolution,[],[f493,f61]) ).
fof(f564,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f559,f66]) ).
fof(f565,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f570,plain,
( spl0_38
| spl0_38
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f546,f134,f130,f126,f51,f492,f492]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f67]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f76]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f82]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f84]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f132]) ).
cnf(s12,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f136]) ).
cnf(s13,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s14,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s16,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f146]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s21,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s31,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f173]) ).
cnf(s32,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f174]) ).
cnf(s33,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f175]) ).
cnf(s36,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f181]) ).
cnf(s39,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f187]) ).
cnf(s40,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f188]) ).
cnf(s41,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f189]) ).
cnf(s42,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f190]) ).
cnf(s43,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f191]) ).
cnf(s44,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f192]) ).
cnf(s45,plain,
( spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f193]) ).
cnf(s47,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f207]) ).
cnf(s48,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f221]) ).
cnf(s53,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_1
| spl0_21 ),
inference(sat_conversion,[],[f306]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(rat,[],[s53]) ).
cnf(s55,plain,
( spl0_21
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_1
| spl0_21 ),
inference(sat_conversion,[],[f369]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_21 ),
inference(rat,[],[s55]) ).
cnf(s59,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f392]) ).
cnf(s61,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f395]) ).
cnf(s71,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(sat_conversion,[],[f436]) ).
cnf(s74,plain,
( spl0_38
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_2
| spl0_38 ),
inference(sat_conversion,[],[f544]) ).
cnf(s75,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_38 ),
inference(rat,[],[s74]) ).
cnf(s76,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_38 ),
inference(sat_conversion,[],[f565]) ).
cnf(s77,plain,
( spl0_38
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_2
| spl0_38 ),
inference(sat_conversion,[],[f570]) ).
cnf(s78,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_38 ),
inference(rat,[],[s77]) ).
cnf(s80,plain,
( spl0_20
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s61,s43,s44,s45]) ).
cnf(s81,plain,
( spl0_19
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s61,s40,s41,s42]) ).
cnf(s82,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_2
| spl0_3 ),
inference(rat,[],[s61,s31,s32,s33,s47]) ).
cnf(s83,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s82,s81,s80]) ).
cnf(s85,plain,
( spl0_14
| spl0_1 ),
inference(rat,[],[s78,s14,s17,s18,s76,s2,s3,s83,s1]) ).
cnf(s86,plain,
( spl0_13
| spl0_1 ),
inference(rat,[],[s78,s13,s15,s16,s76,s2,s3,s83,s1]) ).
cnf(s87,plain,
( ~ spl0_13
| ~ spl0_2
| spl0_38
| ~ spl0_14 ),
inference(rat,[],[s78,s10,s11,s12,s75]) ).
cnf(s88,plain,
spl0_1,
inference(rat,[],[s87,s86,s85,s76,s2,s3,s83,s1]) ).
cnf(s89,plain,
( spl0_5
| ~ spl0_21
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s71,s7,s9]) ).
cnf(s90,plain,
( spl0_14
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s71,s6,s8,s76,s89,s56,s78,s48,s14,s17,s18,s21,s36,s83,s88]) ).
cnf(s91,plain,
( ~ spl0_6
| ~ spl0_21
| ~ spl0_38
| ~ spl0_3 ),
inference(rat,[],[s71,s6,s8,s76,s89]) ).
cnf(s92,plain,
( spl0_15
| spl0_6 ),
inference(rat,[],[s59,s31,s32,s33,s88]) ).
cnf(s93,plain,
( ~ spl0_15
| spl0_6
| ~ spl0_20 ),
inference(rat,[],[s59,s40,s41,s42,s48,s88]) ).
cnf(s94,plain,
( spl0_6
| ~ spl0_20 ),
inference(rat,[],[s93,s92]) ).
cnf(s95,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_14 ),
inference(rat,[],[s56,s13,s15,s16,s54,s88]) ).
cnf(s96,plain,
( spl0_38
| ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s78,s13,s15,s16,s87]) ).
cnf(s97,plain,
( spl0_21
| ~ spl0_14 ),
inference(rat,[],[s56,s10,s11,s12,s95,s88]) ).
cnf(s98,plain,
( ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s97,s91,s96,s94,s90,s83]) ).
cnf(s99,plain,
~ spl0_2,
inference(rat,[],[s91,s97,s96,s59,s39,s43,s44,s45,s98,s83,s88]) ).
cnf(s100,plain,
spl0_21,
inference(rat,[],[s56,s14,s17,s18,s97,s88]) ).
cnf(s101,plain,
~ spl0_6,
inference(rat,[],[s71,s4,s5,s100,s99]) ).
cnf(s103,plain,
~ spl0_20,
inference(rat,[],[s94,s101]) ).
cnf(s104,plain,
spl0_18,
inference(rat,[],[s45,s103]) ).
cnf(s105,plain,
spl0_17,
inference(rat,[],[s44,s103]) ).
cnf(s106,plain,
spl0_16,
inference(rat,[],[s43,s103]) ).
cnf(s111,plain,
$false,
inference(rat,[],[s59,s104,s101,s88,s105,s106]) ).
fof(f571,plain,
$false,
inference(avatar_sat_refutation,[],[s111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:24:10 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (3634791)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3634800)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=738457929:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (3634797)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3634796)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=690816415_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (3634797)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1521398606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3634798)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1157155653:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (3634799)dis+10_1_sil=32000:sp=arity:random_seed=1801669113:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3634802)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1395495773:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (3634801)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3386752383:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (3634800) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3634791-3634800"...
% 0.19/0.27 % (3634800)...printing done.
% 0.19/0.27 % (3634800)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3634800)------------------------------
% 0.19/0.27 % (3634800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3634800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3634800)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3634800)Termination reason: Refutation
% 0.19/0.27 % (3634800)Time elapsed: 0.011 s
% 0.19/0.27 % (3634800)Peak memory usage: 12 MB
% 0.19/0.27 % (3634800)Instructions burned: 38 (million)
% 0.19/0.27 % (3634791)Success in time 0.039 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------