%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM730_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:16:43 PM UTC 2026
% Result : Theorem 3.91s 1.59s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 232 ( 23 unt; 0 typ; 20 def)
% Number of atoms : 1077 ( 146 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 744 ( 307 ~; 408 |; 6 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 433 ( 408 fml; 25 var)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 23 usr; 19 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(type_def_6,type,
nat: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
ts: ( nat * nat ) > nat ).
tff(func_def_3,type,
c1x: frac > nat ).
tff(func_def_4,type,
c2y: frac > nat ).
tff(func_def_5,type,
c1y: frac > nat ).
tff(func_def_6,type,
c2x: frac > nat ).
tff(func_def_7,type,
bG0: ( nat * nat ) > $o ).
tff(func_def_10,type,
bG1: ( nat * nat ) > $o ).
tff(func_def_11,type,
bG2: ( nat * nat ) > $o ).
tff(func_def_12,type,
bG3: $o ).
tff(func_def_13,type,
bG4: $o ).
tff(func_def_14,type,
bG5: $o ).
tff(pred_def_1,type,
orec3: ( $o * $o * $o ) > $o ).
tff(pred_def_2,type,
more: ( nat * nat ) > $o ).
tff(pred_def_3,type,
less: ( nat * nat ) > $o ).
tff(f1,axiom,
! [X0: nat,X1: nat] : orec3(X0 = X1,more(X0,X1),less(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10) ).
tff(f2,conjecture,
orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz41) ).
tff(f3,negated_conjecture,
~ orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,definition,
! [X1: nat,X0: nat] :
( ( X0 = X1 )
<=> ( bG0(X1,X0) = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f5,definition,
! [X1: nat,X0: nat] :
( more(X0,X1)
<=> ( $true = bG1(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f6,definition,
! [X1: nat,X0: nat] :
( less(X0,X1)
<=> ( $true = bG2(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f7,plain,
! [X0: nat,X1: nat] : orec3(bG0(X1,X0),bG1(X1,X0),bG2(X1,X0)),
inference(fool_elimination,[],[f1,f6,f5,f4]) ).
tff(f8,definition,
( ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[bG3])],[fool_formula_definition]) ).
tff(f9,definition,
( more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
<=> ( $true = bG4 ) ),
introduced(definition,[new_symbols(definition,[bG4])],[fool_formula_definition]) ).
tff(f10,definition,
( less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
<=> ( $true = bG5 ) ),
introduced(definition,[new_symbols(definition,[bG5])],[fool_formula_definition]) ).
tff(f11,plain,
~ orec3(bG3,bG4,bG5),
inference(fool_elimination,[],[f3,f10,f9,f8]) ).
tff(f12,plain,
~ orec3(bG3,bG4,bG5),
inference(flattening,[],[f11]) ).
tff(f13,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
<=> ( $true = bG0(X0,X1) ) ),
inference(rectify,[],[f4]) ).
tff(f14,plain,
! [X0: nat,X1: nat] :
( more(X1,X0)
<=> ( $true = bG1(X0,X1) ) ),
inference(rectify,[],[f5]) ).
tff(f15,plain,
! [X0: nat,X1: nat] :
( less(X1,X0)
<=> ( $true = bG2(X0,X1) ) ),
inference(rectify,[],[f6]) ).
tff(f16,plain,
( ( ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f17,plain,
( ( more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f18,plain,
( ( less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f19,plain,
! [X0: nat,X1: nat] :
( ( ( X0 = X1 )
| ( $true != bG0(X0,X1) ) )
& ( ( $true = bG0(X0,X1) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f20,plain,
! [X0: nat,X1: nat] :
( ( more(X1,X0)
| ( $true != bG1(X0,X1) ) )
& ( ( $true = bG1(X0,X1) )
| ~ more(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f21,plain,
! [X0: nat,X1: nat] :
( ( less(X1,X0)
| ( $true != bG2(X0,X1) ) )
& ( ( $true = bG2(X0,X1) )
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f22,plain,
~ orec3(bG3,bG4,bG5),
inference(cnf_transformation,[],[f12]) ).
tff(f23,plain,
! [X0: nat,X1: nat] : orec3(bG0(X1,X0),bG1(X1,X0),bG2(X1,X0)),
inference(cnf_transformation,[],[f7]) ).
tff(f24,plain,
( ( $true = bG3 )
| ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f25,plain,
( ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f26,plain,
( ( $true = bG4 )
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(cnf_transformation,[],[f17]) ).
tff(f27,plain,
( more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f28,plain,
( ( $true = bG5 )
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(cnf_transformation,[],[f18]) ).
tff(f29,plain,
( less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f30,plain,
! [X0: nat,X1: nat] :
( ( $true = bG0(X0,X1) )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
! [X0: nat,X1: nat] :
( ( $true != bG0(X0,X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f32,plain,
! [X0: nat,X1: nat] :
( ~ more(X1,X0)
| ( $true = bG1(X0,X1) ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f33,plain,
! [X0: nat,X1: nat] :
( ( $true != bG1(X0,X1) )
| more(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f34,plain,
! [X0: nat,X1: nat] :
( ~ less(X1,X0)
| ( $true = bG2(X0,X1) ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f35,plain,
! [X0: nat,X1: nat] :
( ( $true != bG2(X0,X1) )
| less(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
tff(f37,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f38,plain,
! [X1: nat] : ( $true = bG0(X1,X1) ),
inference(equality_resolution,[],[f30]) ).
tff(f40,definition,
( spl6_1
<=> less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f41,plain,
( less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f42,plain,
( ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| spl6_1 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f44,definition,
( spl6_2
<=> ( $true = bG5 ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f45,plain,
( ( $true != bG5 )
| spl6_2 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f46,plain,
( ( $true = bG5 )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f47,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f28,f44,f40]) ).
tff(f48,plain,
( ~ spl6_2
| spl6_1 ),
inference(avatar_split_clause,[],[f29,f40,f44]) ).
tff(f50,definition,
( spl6_3
<=> more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f51,plain,
( more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f52,plain,
( ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| spl6_3 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f54,definition,
( spl6_4
<=> ( $true = bG4 ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
tff(f55,plain,
( ( $true != bG4 )
| spl6_4 ),
inference(avatar_component_clause,[],[f54]) ).
tff(f56,plain,
( ( $true = bG4 )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f54]) ).
tff(f57,plain,
( ~ spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f26,f54,f50]) ).
tff(f58,plain,
( ~ spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f27,f50,f54]) ).
tff(f60,definition,
( spl6_5
<=> ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
tff(f61,plain,
( ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f62,plain,
( ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) )
| spl6_5 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f64,definition,
( spl6_6
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
tff(f65,plain,
( ( $true != bG3 )
| spl6_6 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f66,plain,
( ( $true = bG3 )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f67,plain,
( ~ spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f24,f64,f60]) ).
tff(f68,plain,
( ~ spl6_6
| spl6_5 ),
inference(avatar_split_clause,[],[f25,f60,f64]) ).
tff(f69,plain,
! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ),
inference(superposition,[],[f37,f37]) ).
tff(f71,plain,
( ( $true != $true )
| ( bG3 = $false )
| spl6_6 ),
inference(superposition,[],[f65,f37]) ).
tff(f73,plain,
( ( $true != $true )
| ( bG4 = $false )
| spl6_4 ),
inference(superposition,[],[f55,f37]) ).
tff(f75,plain,
( ( $true != $true )
| ( bG5 = $false )
| spl6_2 ),
inference(superposition,[],[f45,f37]) ).
tff(f76,plain,
( ~ orec3(bG3,bG4,$true)
| ( bG5 = $false ) ),
inference(superposition,[],[f22,f37]) ).
tff(f78,plain,
( ( bG5 = $false )
| spl6_2 ),
inference(trivial_inequality_removal,[],[f75]) ).
tff(f79,plain,
( ( bG4 = $false )
| spl6_4 ),
inference(trivial_inequality_removal,[],[f73]) ).
tff(f80,plain,
( ( bG3 = $false )
| spl6_6 ),
inference(trivial_inequality_removal,[],[f71]) ).
tff(f82,definition,
( spl6_7
<=> ( bG5 = $false ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
tff(f84,plain,
( ( bG5 = $false )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f86,definition,
( spl6_8
<=> orec3(bG3,bG4,$true) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
tff(f88,plain,
( ~ orec3(bG3,bG4,$true)
| spl6_8 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f89,plain,
( spl6_7
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f76,f86,f82]) ).
tff(f90,plain,
( spl6_7
| spl6_2 ),
inference(avatar_split_clause,[],[f78,f44,f82]) ).
tff(f92,definition,
( spl6_9
<=> ( bG4 = $false ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
tff(f94,plain,
( ( bG4 = $false )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f92]) ).
tff(f100,plain,
( spl6_9
| spl6_4 ),
inference(avatar_split_clause,[],[f79,f54,f92]) ).
tff(f102,definition,
( spl6_11
<=> ( bG3 = $false ) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
tff(f104,plain,
( ( bG3 = $false )
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f110,plain,
( spl6_11
| spl6_6 ),
inference(avatar_split_clause,[],[f80,f64,f102]) ).
tff(f111,plain,
( ~ orec3($true,bG4,$true)
| ~ spl6_6
| spl6_8 ),
inference(forward_demodulation,[],[f88,f66]) ).
tff(f113,plain,
( ~ orec3($true,$false,$true)
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(forward_demodulation,[],[f111,f94]) ).
tff(f128,plain,
! [X0: nat,X1: nat] :
( ( $true != $true )
| ( X0 = X1 )
| ( bG0(X0,X1) = $false ) ),
inference(superposition,[],[f31,f37]) ).
tff(f129,plain,
! [X0: nat,X1: nat] :
( ( bG0(X0,X1) = $false )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f128]) ).
tff(f130,plain,
! [X0: nat,X1: nat] :
( ( $true != $true )
| more(X1,X0)
| ( bG1(X0,X1) = $false ) ),
inference(superposition,[],[f33,f37]) ).
tff(f131,plain,
! [X0: nat,X1: nat] :
( more(X1,X0)
| ( bG1(X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f130]) ).
tff(f132,plain,
! [X0: nat,X1: nat] :
( ( $true != $true )
| less(X1,X0)
| ( bG2(X0,X1) = $false ) ),
inference(superposition,[],[f35,f37]) ).
tff(f133,plain,
! [X0: nat,X1: nat] :
( less(X1,X0)
| ( bG2(X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f132]) ).
tff(f134,plain,
! [X0: nat] : orec3($true,bG1(X0,X0),bG2(X0,X0)),
inference(superposition,[],[f23,f38]) ).
tff(f135,plain,
! [X0: nat,X1: nat] :
( orec3($true,bG1(X0,X1),bG2(X0,X1))
| ( bG0(X0,X1) = $false ) ),
inference(superposition,[],[f23,f37]) ).
tff(f137,plain,
! [X0: nat,X1: nat] :
( orec3(bG0(X0,X1),bG1(X0,X1),$true)
| ( bG2(X0,X1) = $false ) ),
inference(superposition,[],[f23,f37]) ).
tff(f139,plain,
! [X0: nat,X1: nat] :
( orec3($false,bG1(X0,X1),bG2(X0,X1))
| ( X0 = X1 ) ),
inference(superposition,[],[f23,f129]) ).
tff(f143,plain,
( ( $true = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_1 ),
inference(resolution,[],[f41,f34]) ).
tff(f144,plain,
( ( $true = bG2(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_demodulation,[],[f143,f61]) ).
tff(f146,plain,
( ( $false = bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| spl6_3 ),
inference(resolution,[],[f52,f131]) ).
tff(f147,plain,
( ( $false = bG1(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f146,f61]) ).
tff(f149,plain,
( ~ more(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y)))
| spl6_3
| ~ spl6_5 ),
inference(superposition,[],[f52,f61]) ).
tff(f150,plain,
( less(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y)))
| ~ spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f41,f61]) ).
tff(f151,plain,
! [X0: $o,X1: nat] :
( orec3((X0),bG1(X1,X1),bG2(X1,X1))
| ( $false = (X0) ) ),
inference(superposition,[],[f134,f37]) ).
tff(f194,plain,
! [X0: $o] :
( ~ orec3((X0),bG4,bG5)
| ( bG3 = $false )
| ( $false = (X0) ) ),
inference(superposition,[],[f22,f69]) ).
tff(f410,plain,
( orec3($true,bG1(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))),$true)
| ( $false = bG0(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| ~ spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f135,f144]) ).
tff(f419,plain,
( orec3($true,$false,$true)
| ( $false = bG0(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| ~ spl6_1
| spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f410,f147]) ).
tff(f425,plain,
( ( $false = bG0(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| ~ spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f419,f113]) ).
tff(f428,plain,
( ( $true = $false )
| ~ spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(forward_demodulation,[],[f425,f38]) ).
tff(f429,plain,
( $false
| ~ spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f428]) ).
tff(f430,plain,
( ~ spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f429]) ).
tff(f458,plain,
( ~ orec3(bG3,$false,$true)
| spl6_8
| ~ spl6_9 ),
inference(forward_demodulation,[],[f88,f94]) ).
tff(f459,plain,
( ~ orec3($false,$false,$true)
| spl6_8
| ~ spl6_9
| ~ spl6_11 ),
inference(forward_demodulation,[],[f458,f104]) ).
tff(f460,plain,
( ( $true = $false )
| ~ spl6_2
| ~ spl6_7 ),
inference(superposition,[],[f84,f46]) ).
tff(f465,plain,
( ~ orec3(bG3,bG4,$false)
| ~ spl6_7 ),
inference(superposition,[],[f22,f84]) ).
tff(f471,plain,
( $false
| ~ spl6_2
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f460]) ).
tff(f472,plain,
( ~ spl6_2
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f471]) ).
tff(f473,plain,
( ~ orec3(bG3,$false,$false)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f465,f94]) ).
tff(f474,plain,
( ~ orec3($false,$false,$false)
| ~ spl6_7
| ~ spl6_9
| ~ spl6_11 ),
inference(forward_demodulation,[],[f473,f104]) ).
tff(f498,plain,
( ~ orec3($false,bG4,bG5)
| ~ spl6_11 ),
inference(superposition,[],[f22,f104]) ).
tff(f502,plain,
( ~ orec3($false,bG4,$false)
| ~ spl6_7
| ~ spl6_11 ),
inference(forward_demodulation,[],[f498,f84]) ).
tff(f504,plain,
( ( $false = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| spl6_1 ),
inference(resolution,[],[f42,f133]) ).
tff(f583,definition,
( spl6_14
<=> orec3($true,$true,$true) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
tff(f584,plain,
( ~ orec3($true,$true,$true)
| spl6_14 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f596,definition,
( spl6_17
<=> orec3($true,$true,$false) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
tff(f597,plain,
( ~ orec3($true,$true,$false)
| spl6_17 ),
inference(avatar_component_clause,[],[f596]) ).
tff(f598,plain,
( orec3($true,$true,$false)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f596]) ).
tff(f627,plain,
( orec3($false,$false,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| spl6_3 ),
inference(superposition,[],[f139,f146]) ).
tff(f637,plain,
( orec3($false,$false,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| spl6_3
| spl6_5 ),
inference(forward_subsumption_resolution,[],[f627,f62]) ).
tff(f639,plain,
( orec3($false,$false,$false)
| spl6_1
| spl6_3
| spl6_5 ),
inference(forward_demodulation,[],[f637,f504]) ).
tff(f640,plain,
( $false
| spl6_1
| spl6_3
| spl6_5
| ~ spl6_7
| ~ spl6_9
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f639,f474]) ).
tff(f641,plain,
( spl6_1
| spl6_3
| spl6_5
| ~ spl6_7
| ~ spl6_9
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f640]) ).
tff(f647,plain,
( ~ orec3(bG3,$true,$true)
| ~ spl6_4
| spl6_8 ),
inference(forward_demodulation,[],[f88,f56]) ).
tff(f654,plain,
( ~ orec3($false,$true,$false)
| ~ spl6_4
| ~ spl6_7
| ~ spl6_11 ),
inference(forward_demodulation,[],[f502,f56]) ).
tff(f660,plain,
( ~ orec3($false,$true,$true)
| ~ spl6_4
| spl6_8
| ~ spl6_11 ),
inference(forward_demodulation,[],[f647,f104]) ).
tff(f700,plain,
( ( $true = bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3 ),
inference(resolution,[],[f51,f32]) ).
tff(f707,plain,
( orec3($false,$true,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| ~ spl6_3 ),
inference(superposition,[],[f139,f700]) ).
tff(f708,plain,
( orec3(bG0(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))),$true,$true)
| ( $false = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3 ),
inference(superposition,[],[f137,f700]) ).
tff(f709,plain,
( orec3($true,$true,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| ( $false = bG0(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3 ),
inference(superposition,[],[f135,f700]) ).
tff(f716,plain,
( orec3($true,$true,$false)
| ( $false = bG0(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| spl6_1
| ~ spl6_3 ),
inference(forward_demodulation,[],[f709,f504]) ).
tff(f717,plain,
( orec3($false,$true,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| ~ spl6_3
| spl6_5 ),
inference(forward_subsumption_resolution,[],[f707,f62]) ).
tff(f720,plain,
( ( $false = bG0(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| spl6_1
| ~ spl6_3
| spl6_17 ),
inference(forward_subsumption_resolution,[],[f716,f597]) ).
tff(f721,plain,
( orec3($false,$true,$false)
| spl6_1
| ~ spl6_3
| spl6_5 ),
inference(forward_demodulation,[],[f717,f504]) ).
tff(f722,plain,
( $false
| spl6_1
| ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_7
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f721,f654]) ).
tff(f723,plain,
( spl6_1
| ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_7
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f722]) ).
tff(f724,plain,
( ~ orec3($true,$true,$true)
| ~ spl6_4
| ~ spl6_6
| spl6_8 ),
inference(forward_demodulation,[],[f111,f56]) ).
tff(f739,plain,
( ~ spl6_14
| ~ spl6_4
| ~ spl6_6
| spl6_8 ),
inference(avatar_split_clause,[],[f724,f86,f64,f54,f583]) ).
tff(f765,plain,
( ~ orec3($true,bG4,bG5)
| ~ spl6_6 ),
inference(superposition,[],[f22,f66]) ).
tff(f783,plain,
( ~ less(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y)))
| spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f42,f61]) ).
tff(f883,definition,
( spl6_20
<=> ! [X0: $o] : ( $false = (X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
tff(f884,plain,
( ! [X0: $o] : ( $false = (X0) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f883]) ).
tff(f906,plain,
( ( $false = bG0(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_17 ),
inference(superposition,[],[f720,f61]) ).
tff(f930,plain,
( ( $true = $false )
| ~ spl6_20 ),
inference(superposition,[],[f38,f884]) ).
tff(f982,plain,
( $false
| ~ spl6_20 ),
inference(trivial_inequality_removal,[],[f930]) ).
tff(f983,plain,
~ spl6_20,
inference(avatar_contradiction_clause,[],[f982]) ).
tff(f1026,plain,
( ( $true = $false )
| spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_17 ),
inference(forward_demodulation,[],[f906,f38]) ).
tff(f1027,plain,
( $false
| spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_17 ),
inference(trivial_inequality_removal,[],[f1026]) ).
tff(f1028,plain,
( spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_17 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
tff(f1048,plain,
( orec3(bG0(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))),$true,$true)
| ( $false = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f708,f61]) ).
tff(f1065,plain,
( orec3($true,$true,$true)
| ( $false = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1048,f38]) ).
tff(f1080,plain,
( ( $false = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3
| ~ spl6_5
| spl6_14 ),
inference(forward_subsumption_resolution,[],[f1065,f584]) ).
tff(f1085,plain,
( ( $false = bG2(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| ~ spl6_3
| ~ spl6_5
| spl6_14 ),
inference(forward_demodulation,[],[f1080,f61]) ).
tff(f1110,plain,
( ( $true = bG2(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| ~ spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f150,f34]) ).
tff(f1111,plain,
( ( $true = $false )
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_14 ),
inference(forward_demodulation,[],[f1110,f1085]) ).
tff(f1112,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_14 ),
inference(trivial_inequality_removal,[],[f1111]) ).
tff(f1113,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_14 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
tff(f1128,plain,
( ~ orec3($true,bG4,$false)
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f765,f84]) ).
tff(f1144,plain,
( ~ orec3($true,$true,$false)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1128,f56]) ).
tff(f1156,plain,
( $false
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f1144,f598]) ).
tff(f1157,plain,
( ~ spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
tff(f1242,plain,
( ! [X0: $o] :
( ~ orec3((X0),bG4,$false)
| ( bG3 = $false )
| ( $false = (X0) ) )
| ~ spl6_7 ),
inference(forward_demodulation,[],[f194,f84]) ).
tff(f1244,plain,
( ! [X0: $o] :
( ~ orec3((X0),$false,$false)
| ( bG3 = $false )
| ( $false = (X0) ) )
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1242,f94]) ).
tff(f1246,plain,
( ! [X0: $o] :
( ( $true = $false )
| ~ orec3((X0),$false,$false)
| ( $false = (X0) ) )
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1244,f66]) ).
tff(f1247,plain,
( ! [X0: $o] :
( ~ orec3((X0),$false,$false)
| ( $false = (X0) ) )
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f1246]) ).
tff(f1261,plain,
( ( $false = bG1(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| spl6_3
| ~ spl6_5 ),
inference(resolution,[],[f149,f131]) ).
tff(f1269,plain,
( ( $false = bG2(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))) )
| spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f783,f133]) ).
tff(f1281,plain,
( ! [X0: $o] :
( orec3((X0),$false,bG2(ts(c1x(x),c2y(y)),ts(c1x(x),c2y(y))))
| ( $false = (X0) ) )
| spl6_3
| ~ spl6_5 ),
inference(superposition,[],[f151,f1261]) ).
tff(f1287,plain,
( ! [X0: $o] :
( orec3((X0),$false,$false)
| ( $false = (X0) ) )
| spl6_1
| spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1281,f1269]) ).
tff(f1292,plain,
( ! [X0: $o] : ( $false = (X0) )
| spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f1287,f1247]) ).
tff(f1295,plain,
( spl6_20
| spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f1292,f92,f82,f64,f60,f50,f40,f883]) ).
tff(f1443,plain,
( ( $true = bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_1 ),
inference(resolution,[],[f41,f34]) ).
tff(f1453,plain,
( ( $true = bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_3 ),
inference(resolution,[],[f51,f32]) ).
tff(f1476,plain,
( orec3($false,bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))),$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| ~ spl6_1 ),
inference(superposition,[],[f139,f1443]) ).
tff(f1488,plain,
( orec3($false,bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))),$true)
| ~ spl6_1
| spl6_5 ),
inference(forward_subsumption_resolution,[],[f1476,f62]) ).
tff(f1492,plain,
( orec3($false,$true,$true)
| ~ spl6_1
| ~ spl6_3
| spl6_5 ),
inference(forward_demodulation,[],[f1488,f1453]) ).
tff(f1493,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| spl6_5
| spl6_8
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f1492,f660]) ).
tff(f1494,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| spl6_5
| spl6_8
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
tff(f1521,definition,
( spl6_28
<=> ( $false = bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) ) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
tff(f1522,plain,
( ( $false != bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| spl6_28 ),
inference(avatar_component_clause,[],[f1521]) ).
tff(f1523,plain,
( ( $false = bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f1521]) ).
tff(f1564,plain,
( ( $false = bG1(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))) )
| spl6_3 ),
inference(resolution,[],[f52,f131]) ).
tff(f1632,plain,
( orec3($false,$false,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) )
| ~ spl6_28 ),
inference(superposition,[],[f139,f1523]) ).
tff(f1642,plain,
( orec3($false,$false,bG2(ts(c1y(y),c2x(x)),ts(c1x(x),c2y(y))))
| spl6_5
| ~ spl6_28 ),
inference(forward_subsumption_resolution,[],[f1632,f62]) ).
tff(f1645,plain,
( orec3($false,$false,$true)
| ~ spl6_1
| spl6_5
| ~ spl6_28 ),
inference(forward_demodulation,[],[f1642,f1443]) ).
tff(f1648,plain,
( $false
| ~ spl6_1
| spl6_5
| spl6_8
| ~ spl6_9
| ~ spl6_11
| ~ spl6_28 ),
inference(forward_subsumption_resolution,[],[f1645,f459]) ).
tff(f1649,plain,
( ~ spl6_1
| spl6_5
| spl6_8
| ~ spl6_9
| ~ spl6_11
| ~ spl6_28 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
tff(f1651,plain,
( $false
| spl6_3
| spl6_28 ),
inference(forward_subsumption_resolution,[],[f1564,f1522]) ).
tff(f1652,plain,
( spl6_3
| spl6_28 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f47]) ).
cnf(s2,plain,
( spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
( ~ spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
( spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f58]) ).
cnf(s5,plain,
( ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
( spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f68]) ).
cnf(s7,plain,
( spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f89]) ).
cnf(s8,plain,
( spl6_2
| spl6_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s10,plain,
( spl6_4
| spl6_9 ),
inference(sat_conversion,[],[f100]) ).
cnf(s12,plain,
( spl6_6
| spl6_11 ),
inference(sat_conversion,[],[f110]) ).
cnf(s15,plain,
( ~ spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(sat_conversion,[],[f430]) ).
cnf(s23,plain,
( ~ spl6_2
| ~ spl6_7 ),
inference(sat_conversion,[],[f472]) ).
cnf(s31,plain,
( spl6_1
| spl6_3
| spl6_5
| ~ spl6_7
| ~ spl6_9
| ~ spl6_11 ),
inference(sat_conversion,[],[f641]) ).
cnf(s33,plain,
( spl6_1
| ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_7
| ~ spl6_11 ),
inference(sat_conversion,[],[f723]) ).
cnf(s34,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_8
| ~ spl6_14 ),
inference(sat_conversion,[],[f739]) ).
cnf(s44,plain,
~ spl6_20,
inference(sat_conversion,[],[f983]) ).
cnf(s49,plain,
( spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_17 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s52,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| spl6_14 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s60,plain,
( ~ spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_17 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s74,plain,
( spl6_1
| spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| spl6_20 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s81,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| spl6_5
| spl6_8
| ~ spl6_11 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s87,plain,
( ~ spl6_1
| spl6_5
| spl6_8
| ~ spl6_9
| ~ spl6_11
| ~ spl6_28 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s88,plain,
( spl6_3
| spl6_28 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s93,plain,
( spl6_5
| spl6_3
| spl6_1 ),
inference(rat,[],[s12,s31,s6,s8,s2,s10,s4]) ).
cnf(s94,plain,
( spl6_3
| spl6_1 ),
inference(rat,[],[s74,s5,s93,s10,s4,s8,s2,s44]) ).
cnf(s95,plain,
( spl6_5
| spl6_1 ),
inference(rat,[],[s12,s33,s6,s8,s2,s3,s94]) ).
cnf(s96,plain,
spl6_1,
inference(rat,[],[s60,s49,s5,s95,s3,s94,s8,s2]) ).
cnf(s97,plain,
spl6_2,
inference(rat,[],[s1,s96]) ).
cnf(s98,plain,
~ spl6_7,
inference(rat,[],[s23,s97]) ).
cnf(s99,plain,
~ spl6_8,
inference(rat,[],[s7,s98]) ).
cnf(s100,plain,
( spl6_5
| spl6_3 ),
inference(rat,[],[s12,s87,s6,s88,s10,s4,s96,s99]) ).
cnf(s101,plain,
spl6_3,
inference(rat,[],[s15,s5,s100,s10,s4,s96,s99]) ).
cnf(s102,plain,
spl6_4,
inference(rat,[],[s3,s101]) ).
cnf(s105,plain,
spl6_5,
inference(rat,[],[s12,s81,s6,s101,s96,s99,s102]) ).
cnf(s106,plain,
spl6_6,
inference(rat,[],[s5,s105]) ).
cnf(s107,plain,
spl6_14,
inference(rat,[],[s52,s101,s96,s105]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s34,s102,s99,s106,s107]) ).
tff(f1659,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM730_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 21:18:17 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.91/1.59 % (2997214)Detected formulas, will run a generic FOF schedule.
% 3.91/1.59 % (2997318)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=3867389765:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.91/1.59 % (2997322)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2915098055:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.91/1.59 % (2997319)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=381705715:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.91/1.59 % (2997323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1775541952:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.91/1.59 % (2997321)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1941792397:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.91/1.59 % (2997320)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2694600987:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.91/1.59 % (2997321)Refutation not found, incomplete strategy
% 3.91/1.59 % (2997321)------------------------------
% 3.91/1.59 % (2997321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997321)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997321)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.59 % (2997321)Time elapsed: 0.006 s
% 3.91/1.59 % (2997321)Peak memory usage: 89 MB
% 3.91/1.59 % (2997321)Instructions burned: 7 (million)
% 3.91/1.59 % (2997324)dis-21_1_sil=8000:lcm=predicate:random_seed=3522911816:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.91/1.59 % (2997324)Refutation not found, incomplete strategy
% 3.91/1.59 % (2997324)------------------------------
% 3.91/1.59 % (2997324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997324)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997324)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.59 % (2997324)Time elapsed: 0.002 s
% 3.91/1.59 % (2997324)Peak memory usage: 89 MB
% 3.91/1.59 % (2997324)Instructions burned: 2 (million)
% 3.91/1.59 % (2997322)Instruction limit reached!
% 3.91/1.59 % (2997322)------------------------------
% 3.91/1.59 % (2997322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997322)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997322)Termination reason: Instruction limit
% 3.91/1.59 % (2997322)Termination phase: Saturation
% 3.91/1.59 % (2997322)Time elapsed: 0.062 s
% 3.91/1.59 % (2997322)Peak memory usage: 88 MB
% 3.91/1.59 % (2997322)Instructions burned: 120 (million)
% 3.91/1.59 % (2997323)Instruction limit reached!
% 3.91/1.59 % (2997323)------------------------------
% 3.91/1.59 % (2997323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997323)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997323)Termination reason: Instruction limit
% 3.91/1.59 % (2997323)Termination phase: Saturation
% 3.91/1.59 % (2997323)Time elapsed: 0.100 s
% 3.91/1.59 % (2997323)Peak memory usage: 89 MB
% 3.91/1.59 % (2997323)Instructions burned: 140 (million)
% 3.91/1.59 % (2997352)lrs+10_1_sil=8000:sp=occurrence:random_seed=3569051258:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.91/1.59 % (2997321)------------------------------
% 3.91/1.59 % (2997321)------------------------------
% 3.91/1.59 % (2997355)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1391684158:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.91/1.59 % (2997352)First to succeed.
% 3.91/1.59 % (2997352)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2997214"
% 3.91/1.59 % (2997324)------------------------------
% 3.91/1.59 % (2997324)------------------------------
% 3.91/1.59 % (2997355)Instruction limit reached!
% 3.91/1.59 % (2997355)------------------------------
% 3.91/1.59 % (2997355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997355)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997355)Termination reason: Instruction limit
% 3.91/1.59 % (2997355)Termination phase: Saturation
% 3.91/1.59 % (2997355)Time elapsed: 0.073 s
% 3.91/1.59 % (2997355)Peak memory usage: 89 MB
% 3.91/1.59 % (2997355)Instructions burned: 157 (million)
% 3.91/1.59 % (2997372)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4102939480:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.91/1.59 % (2997318)Also succeeded, but the first one will report.
% 3.91/1.59 % (2997378)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3578561583:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.91/1.59 % (2997372)Instruction limit reached!
% 3.91/1.59 % (2997372)------------------------------
% 3.91/1.59 % (2997372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997372)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997372)Termination reason: Instruction limit
% 3.91/1.59 % (2997372)Termination phase: Saturation
% 3.91/1.59 % (2997372)Time elapsed: 0.086 s
% 3.91/1.59 % (2997372)Peak memory usage: 89 MB
% 3.91/1.59 % (2997372)Instructions burned: 329 (million)
% 3.91/1.59 % (2997399)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3136396518:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.91/1.59 % (2997399)Refutation not found, incomplete strategy
% 3.91/1.59 % (2997399)------------------------------
% 3.91/1.59 % (2997399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.59 % (2997399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.59 % (2997399)CaDiCaL version: 2.1.3
% 3.91/1.59 % (2997399)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.59 % (2997399)Time elapsed: 0.008 s
% 3.91/1.59 % (2997399)Peak memory usage: 89 MB
% 3.91/1.59 % (2997399)Instructions burned: 10 (million)
% 3.91/1.59 % (2997352)Refutation found. Thanks to Tanya!
% 3.91/1.59 % SZS status Theorem for theBenchmark
% 3.91/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.79 % (2997352)------------------------------
% 5.46/1.79 % (2997352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.79 % (2997352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.79 % (2997352)CaDiCaL version: 2.1.3
% 5.46/1.79 % (2997352)Termination reason: Refutation
% 5.46/1.79 % (2997352)Time elapsed: 0.037 s
% 5.46/1.79 % (2997352)Peak memory usage: 90 MB
% 5.46/1.79 % (2997352)Instructions burned: 61 (million)
% 5.46/1.79 % (2997352)------------------------------
% 5.46/1.79 % (2997352)------------------------------
% 5.46/1.79 % (2997214)Success in time 0.698 s
% 5.46/1.79 % Vampire exiting
%------------------------------------------------------------------------------