%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX121_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 01:45:55 PM UTC 2026
% Result : Theorem 1.11s 0.96s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 94 ( 3 unt; 0 typ; 14 def)
% Number of atoms : 419 ( 137 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 489 ( 164 ~; 157 |; 145 &)
% ( 13 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 14 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-1 aty)
% Number of variables : 166 ( 112 !; 54 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_8,type,
sK1: general > symbol ).
tff(func_def_9,type,
sK2: general > $int ).
tff(func_def_10,type,
sK3: general > general ).
tff(func_def_11,type,
sK4: general > general ).
tff(func_def_12,type,
sK5: general ).
tff(func_def_13,type,
sK6: general ).
tff(func_def_14,type,
sK7: general ).
tff(func_def_15,type,
sK8: general ).
tff(func_def_16,type,
sK9: general ).
tff(func_def_17,type,
sK10: general ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
hq: ( general * general ) > $o ).
tff(pred_def_9,type,
tq: ( general * general ) > $o ).
tff(pred_def_10,type,
hp: general > $o ).
tff(pred_def_11,type,
tp: general > $o ).
tff(pred_def_13,type,
sP0: ( general * general * general * general ) > $o ).
tff(f18,axiom,
! [X2: general,X1: general,X0: general,X3: general] :
( ( ( ? [X4: general] :
( ( X4 = X3 )
& tp(X4) )
& ( X1 = X3 )
& ( X0 = X2 )
& ? [X4: general] :
( ( X4 = X2 )
& tp(X4) )
& tq(X0,X1) )
=> tq(X0,X1) )
& ( ( ? [X4: general] :
( hp(X4)
& ( X4 = X2 ) )
& tq(X0,X1)
& ( X0 = X2 )
& ? [X4: general] :
( hp(X4)
& ( X4 = X3 ) )
& ( X1 = X3 ) )
=> hq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(f20,conjecture,
! [X2: general,X1: general,X3: general,X0: general] :
( ( ( ? [X4: general] :
( ( X4 = X2 )
& tp(X4) )
& ? [X4: general] :
( ( X4 = X3 )
& tp(X4) )
& tq(X0,X1)
& ( X1 = X3 )
& ( X0 = X2 ) )
=> tq(X0,X1) )
& ( ( ( X0 = X2 )
& ( X1 = X3 )
& ? [X4: general] :
( ( X4 = X3 )
& hp(X4) )
& tq(X0,X1)
& ? [X4: general] :
( hp(X4)
& ( X4 = X2 ) ) )
=> hq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).
tff(f21,negated_conjecture,
~ ! [X2: general,X1: general,X3: general,X0: general] :
( ( ( ? [X4: general] :
( ( X4 = X2 )
& tp(X4) )
& ? [X4: general] :
( ( X4 = X3 )
& tp(X4) )
& tq(X0,X1)
& ( X1 = X3 )
& ( X0 = X2 ) )
=> tq(X0,X1) )
& ( ( ( X0 = X2 )
& ( X1 = X3 )
& ? [X4: general] :
( ( X4 = X3 )
& hp(X4) )
& tq(X0,X1)
& ? [X4: general] :
( hp(X4)
& ( X4 = X2 ) ) )
=> hq(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
tff(f35,plain,
~ ! [X0: general,X2: general,X1: general,X3: general] :
( ( ( ? [X5: general] :
( tp(X5)
& ( X2 = X5 ) )
& ( X1 = X2 )
& ? [X4: general] :
( tp(X4)
& ( X0 = X4 ) )
& ( X0 = X3 )
& tq(X3,X1) )
=> tq(X3,X1) )
& ( ( ? [X6: general] :
( ( X2 = X6 )
& hp(X6) )
& ( X0 = X3 )
& tq(X3,X1)
& ? [X7: general] :
( ( X0 = X7 )
& hp(X7) )
& ( X1 = X2 ) )
=> hq(X3,X1) ) ),
inference(rectify,[],[f21]) ).
tff(f37,plain,
! [X3: general,X0: general,X1: general,X2: general] :
( ( ( ? [X4: general] :
( ( X4 = X3 )
& tp(X4) )
& ( X0 = X2 )
& ? [X5: general] :
( tp(X5)
& ( X0 = X5 ) )
& ( X1 = X3 )
& tq(X2,X1) )
=> tq(X2,X1) )
& ( ( ( X1 = X3 )
& ? [X7: general] :
( ( X3 = X7 )
& hp(X7) )
& tq(X2,X1)
& ? [X6: general] :
( hp(X6)
& ( X0 = X6 ) )
& ( X0 = X2 ) )
=> hq(X2,X1) ) ),
inference(rectify,[],[f18]) ).
tff(f50,plain,
? [X0: general,X2: general,X1: general,X3: general] :
( ( ~ tq(X3,X1)
& ? [X5: general] :
( tp(X5)
& ( X2 = X5 ) )
& ( X1 = X2 )
& ? [X4: general] :
( tp(X4)
& ( X0 = X4 ) )
& ( X0 = X3 )
& tq(X3,X1) )
| ( ~ hq(X3,X1)
& ? [X6: general] :
( ( X2 = X6 )
& hp(X6) )
& ( X0 = X3 )
& tq(X3,X1)
& ? [X7: general] :
( ( X0 = X7 )
& hp(X7) )
& ( X1 = X2 ) ) ),
inference(ennf_transformation,[],[f35]) ).
tff(f51,plain,
? [X3: general,X0: general,X1: general,X2: general] :
( ( tq(X3,X1)
& ( X1 = X2 )
& ? [X4: general] :
( tp(X4)
& ( X0 = X4 ) )
& ~ tq(X3,X1)
& ( X0 = X3 )
& ? [X5: general] :
( tp(X5)
& ( X2 = X5 ) ) )
| ( ( X0 = X3 )
& ( X1 = X2 )
& ~ hq(X3,X1)
& ? [X7: general] :
( ( X0 = X7 )
& hp(X7) )
& tq(X3,X1)
& ? [X6: general] :
( ( X2 = X6 )
& hp(X6) ) ) ),
inference(flattening,[],[f50]) ).
tff(f54,plain,
! [X3: general,X0: general,X1: general,X2: general] :
( ( tq(X2,X1)
| ! [X4: general] :
( ~ tp(X4)
| ( X3 != X4 ) )
| ( X0 != X2 )
| ! [X5: general] :
( ( X0 != X5 )
| ~ tp(X5) )
| ( X1 != X3 )
| ~ tq(X2,X1) )
& ( hq(X2,X1)
| ( X1 != X3 )
| ! [X7: general] :
( ~ hp(X7)
| ( X3 != X7 ) )
| ~ tq(X2,X1)
| ! [X6: general] :
( ~ hp(X6)
| ( X0 != X6 ) )
| ( X0 != X2 ) ) ),
inference(ennf_transformation,[],[f37]) ).
tff(f55,plain,
! [X3: general,X0: general,X2: general,X1: general] :
( ( ( X1 != X3 )
| ~ tq(X2,X1)
| ! [X7: general] :
( ~ hp(X7)
| ( X3 != X7 ) )
| hq(X2,X1)
| ! [X6: general] :
( ~ hp(X6)
| ( X0 != X6 ) )
| ( X0 != X2 ) )
& ( ! [X5: general] :
( ( X0 != X5 )
| ~ tp(X5) )
| ( X0 != X2 )
| ~ tq(X2,X1)
| ! [X4: general] :
( ~ tp(X4)
| ( X3 != X4 ) )
| tq(X2,X1)
| ( X1 != X3 ) ) ),
inference(flattening,[],[f54]) ).
tff(f64,definition,
! [X3: general,X0: general,X2: general,X1: general] :
( ( ( X0 = X3 )
& ( X1 = X2 )
& ~ hq(X3,X1)
& ? [X7: general] :
( ( X0 = X7 )
& hp(X7) )
& tq(X3,X1)
& ? [X6: general] :
( ( X2 = X6 )
& hp(X6) ) )
| ~ sP0(X3,X0,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
tff(f65,plain,
? [X3: general,X0: general,X1: general,X2: general] :
( ( tq(X3,X1)
& ( X1 = X2 )
& ? [X4: general] :
( tp(X4)
& ( X0 = X4 ) )
& ~ tq(X3,X1)
& ( X0 = X3 )
& ? [X5: general] :
( tp(X5)
& ( X2 = X5 ) ) )
| sP0(X3,X0,X2,X1) ),
inference(definition_folding,[],[f51,f64]) ).
tff(f80,plain,
! [X0: general,X1: general,X2: general,X3: general] :
( ( ( X0 != X3 )
| ~ tq(X2,X3)
| ! [X4: general] :
( ~ hp(X4)
| ( X0 != X4 ) )
| hq(X2,X3)
| ! [X5: general] :
( ~ hp(X5)
| ( X1 != X5 ) )
| ( X1 != X2 ) )
& ( ! [X6: general] :
( ( X1 != X6 )
| ~ tp(X6) )
| ( X1 != X2 )
| ~ tq(X2,X3)
| ! [X7: general] :
( ~ tp(X7)
| ( X0 != X7 ) )
| tq(X2,X3)
| ( X0 != X3 ) ) ),
inference(rectify,[],[f55]) ).
tff(f81,plain,
! [X3: general,X0: general,X2: general,X1: general] :
( ( ( X0 = X3 )
& ( X1 = X2 )
& ~ hq(X3,X1)
& ? [X7: general] :
( ( X0 = X7 )
& hp(X7) )
& tq(X3,X1)
& ? [X6: general] :
( ( X2 = X6 )
& hp(X6) ) )
| ~ sP0(X3,X0,X2,X1) ),
inference(nnf_transformation,[],[f64]) ).
tff(f82,plain,
! [X0: general,X1: general,X2: general,X3: general] :
( ( ( X0 = X1 )
& ( X2 = X3 )
& ~ hq(X0,X3)
& ? [X4: general] :
( ( X1 = X4 )
& hp(X4) )
& tq(X0,X3)
& ? [X5: general] :
( ( X2 = X5 )
& hp(X5) ) )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f81]) ).
tff(f83,plain,
! [X0: general,X1: general,X2: general,X3: general] :
( ( ( X0 = X1 )
& ( X2 = X3 )
& ~ hq(X0,X3)
& ( sK3(X1) = X1 )
& hp(sK3(X1))
& tq(X0,X3)
& ( sK4(X2) = X2 )
& hp(sK4(X2)) )
| ~ sP0(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X4,sK3(X1)),skolemize(X5,sK4(X2))],[f82]) ).
tff(f84,plain,
? [X0: general,X1: general,X2: general,X3: general] :
( ( tq(X0,X2)
& ( X2 = X3 )
& ? [X4: general] :
( tp(X4)
& ( X1 = X4 ) )
& ~ tq(X0,X2)
& ( X0 = X1 )
& ? [X5: general] :
( tp(X5)
& ( X3 = X5 ) ) )
| sP0(X0,X1,X3,X2) ),
inference(rectify,[],[f65]) ).
tff(f85,plain,
( ( tq(sK5,sK7)
& ( sK8 = sK7 )
& tp(sK9)
& ( sK6 = sK9 )
& ~ tq(sK5,sK7)
& ( sK6 = sK5 )
& tp(sK10)
& ( sK8 = sK10 ) )
| sP0(sK5,sK6,sK8,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9),skolemize(X5,sK10)],[f84]) ).
tff(f110,plain,
! [X2: general,X3: general,X0: general,X1: general,X4: general,X5: general] :
( ( X0 != X3 )
| ~ tq(X2,X3)
| ~ hp(X4)
| ( X0 != X4 )
| hq(X2,X3)
| ~ hp(X5)
| ( X1 != X5 )
| ( X1 != X2 ) ),
inference(cnf_transformation,[],[f80]) ).
tff(f111,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| hp(sK4(X2)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f112,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| ( sK4(X2) = X2 ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f113,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| tq(X0,X3) ),
inference(cnf_transformation,[],[f83]) ).
tff(f114,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| hp(sK3(X1)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f115,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| ( sK3(X1) = X1 ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f116,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| ~ hq(X0,X3) ),
inference(cnf_transformation,[],[f83]) ).
tff(f117,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f118,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( ~ sP0(X0,X1,X2,X3)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f122,plain,
( sP0(sK5,sK6,sK8,sK7)
| ~ tq(sK5,sK7) ),
inference(cnf_transformation,[],[f85]) ).
tff(f125,plain,
( sP0(sK5,sK6,sK8,sK7)
| ( sK8 = sK7 ) ),
inference(cnf_transformation,[],[f85]) ).
tff(f126,plain,
( tq(sK5,sK7)
| sP0(sK5,sK6,sK8,sK7) ),
inference(cnf_transformation,[],[f85]) ).
tff(f148,plain,
! [X2: general,X3: general,X1: general,X4: general,X5: general] :
( ~ tq(X2,X3)
| ~ hp(X4)
| ( X3 != X4 )
| hq(X2,X3)
| ~ hp(X5)
| ( X1 != X5 )
| ( X1 != X2 ) ),
inference(equality_resolution,[],[f110]) ).
tff(f149,plain,
! [X2: general,X1: general,X4: general,X5: general] :
( ~ tq(X2,X4)
| ~ hp(X4)
| hq(X2,X4)
| ~ hp(X5)
| ( X1 != X5 )
| ( X1 != X2 ) ),
inference(equality_resolution,[],[f148]) ).
tff(f150,plain,
! [X2: general,X4: general,X5: general] :
( ~ tq(X2,X4)
| ~ hp(X4)
| hq(X2,X4)
| ~ hp(X5)
| ( X2 != X5 ) ),
inference(equality_resolution,[],[f149]) ).
tff(f151,plain,
! [X4: general,X5: general] :
( ~ tq(X5,X4)
| ~ hp(X5)
| ~ hp(X4)
| hq(X5,X4) ),
inference(equality_resolution,[],[f150]) ).
tff(f157,definition,
( spl11_1
<=> sP0(sK5,sK6,sK8,sK7) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
tff(f159,plain,
( sP0(sK5,sK6,sK8,sK7)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f166,definition,
( spl11_3
<=> ( sK6 = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
tff(f168,plain,
( ( sK6 = sK5 )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f171,definition,
( spl11_4
<=> tq(sK5,sK7) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
tff(f173,plain,
( tq(sK5,sK7)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f174,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f126,f171,f157]) ).
tff(f185,plain,
sK8 = sK7,
inference(forward_subsumption_resolution,[],[f125,f117]) ).
tff(f186,plain,
( spl11_1
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f122,f171,f157]) ).
tff(f193,definition,
( spl11_8
<=> ( sK8 = sK7 ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
tff(f195,plain,
( ( sK8 = sK7 )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f193]) ).
tff(f196,plain,
spl11_8,
inference(avatar_split_clause,[],[f185,f193]) ).
tff(f197,plain,
( sP0(sK5,sK6,sK7,sK7)
| ~ spl11_1
| ~ spl11_8 ),
inference(superposition,[],[f159,f195]) ).
tff(f199,definition,
( spl11_9
<=> sP0(sK5,sK6,sK7,sK7) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
tff(f201,plain,
( sP0(sK5,sK6,sK7,sK7)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f202,plain,
( spl11_9
| ~ spl11_1
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f197,f193,f157,f199]) ).
tff(f245,plain,
( hp(sK4(sK8))
| ~ spl11_1 ),
inference(resolution,[],[f111,f159]) ).
tff(f248,definition,
( spl11_10
<=> hp(sK4(sK7)) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
tff(f250,plain,
( hp(sK4(sK7))
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f248]) ).
tff(f252,plain,
( hp(sK4(sK7))
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f245,f195]) ).
tff(f253,plain,
( spl11_10
| ~ spl11_1
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f252,f193,f157,f248]) ).
tff(f260,plain,
( tq(sK5,sK7)
| ~ spl11_1 ),
inference(resolution,[],[f113,f159]) ).
tff(f262,plain,
( spl11_4
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f260,f157,f171]) ).
tff(f264,plain,
( hp(sK3(sK6))
| ~ spl11_1 ),
inference(resolution,[],[f114,f159]) ).
tff(f267,definition,
( spl11_12
<=> hp(sK3(sK6)) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
tff(f269,plain,
( hp(sK3(sK6))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f270,plain,
( spl11_12
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f264,f157,f267]) ).
tff(f278,plain,
( ~ hq(sK5,sK7)
| ~ spl11_1 ),
inference(resolution,[],[f116,f159]) ).
tff(f281,definition,
( spl11_14
<=> hq(sK5,sK7) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
tff(f283,plain,
( ~ hq(sK5,sK7)
| spl11_14 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f285,plain,
( ~ spl11_14
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f278,f157,f281]) ).
tff(f288,plain,
( ( sK6 = sK5 )
| ~ spl11_1 ),
inference(resolution,[],[f118,f159]) ).
tff(f291,plain,
( spl11_3
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f288,f157,f166]) ).
tff(f293,plain,
( hp(sK3(sK5))
| ~ spl11_3
| ~ spl11_12 ),
inference(superposition,[],[f269,f168]) ).
tff(f302,definition,
( spl11_16
<=> hp(sK3(sK5)) ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
tff(f304,plain,
( hp(sK3(sK5))
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f302]) ).
tff(f305,plain,
( spl11_16
| ~ spl11_3
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f293,f267,f166,f302]) ).
tff(f342,plain,
( ( sK4(sK8) = sK8 )
| ~ spl11_1 ),
inference(resolution,[],[f112,f159]) ).
tff(f346,definition,
( spl11_18
<=> ( sK4(sK7) = sK7 ) ),
introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition]) ).
tff(f348,plain,
( ( sK4(sK7) = sK7 )
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f346]) ).
tff(f350,plain,
( ( sK4(sK7) = sK7 )
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f342,f195]) ).
tff(f352,plain,
( spl11_18
| ~ spl11_1
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f350,f193,f157,f346]) ).
tff(f354,plain,
( hp(sK7)
| ~ spl11_10
| ~ spl11_18 ),
inference(superposition,[],[f250,f348]) ).
tff(f356,definition,
( spl11_19
<=> hp(sK7) ),
introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).
tff(f358,plain,
( hp(sK7)
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f356]) ).
tff(f359,plain,
( spl11_19
| ~ spl11_10
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f354,f346,f248,f356]) ).
tff(f366,plain,
( ( sK6 = sK3(sK6) )
| ~ spl11_9 ),
inference(resolution,[],[f115,f201]) ).
tff(f368,plain,
( ( sK3(sK5) = sK5 )
| ~ spl11_3
| ~ spl11_9 ),
inference(forward_demodulation,[],[f366,f168]) ).
tff(f370,definition,
( spl11_21
<=> ( sK3(sK5) = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
tff(f372,plain,
( ( sK3(sK5) = sK5 )
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f370]) ).
tff(f375,plain,
( spl11_21
| ~ spl11_3
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f368,f199,f166,f370]) ).
tff(f406,plain,
( hp(sK5)
| ~ spl11_16
| ~ spl11_21 ),
inference(superposition,[],[f304,f372]) ).
tff(f413,definition,
( spl11_23
<=> hp(sK5) ),
introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).
tff(f415,plain,
( hp(sK5)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f413]) ).
tff(f416,plain,
( spl11_23
| ~ spl11_16
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f406,f370,f302,f413]) ).
tff(f418,plain,
( hq(sK5,sK7)
| ~ hp(sK7)
| ~ hp(sK5)
| ~ spl11_4 ),
inference(resolution,[],[f151,f173]) ).
tff(f419,plain,
( ~ hp(sK7)
| ~ hp(sK5)
| ~ spl11_4
| spl11_14 ),
inference(forward_subsumption_resolution,[],[f418,f283]) ).
tff(f420,plain,
( ~ hp(sK5)
| ~ spl11_4
| spl11_14
| ~ spl11_19 ),
inference(forward_subsumption_resolution,[],[f419,f358]) ).
tff(f421,plain,
( $false
| ~ spl11_4
| spl11_14
| ~ spl11_19
| ~ spl11_23 ),
inference(forward_subsumption_resolution,[],[f420,f415]) ).
tff(f422,plain,
( ~ spl11_4
| spl11_14
| ~ spl11_19
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f421]) ).
tff(f423,plain,
$false,
inference(avatar_smt_refutation,[],[f422,f416,f375,f359,f352,f305,f291,f285,f270,f262,f253,f202,f196,f186,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX121_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n017.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 14:57:51 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 1.11/0.96 % (3615149)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.11/0.96 % (3615160)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3136511331:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 1.11/0.96 % (3615160)First to succeed.
% 1.11/0.96 % (3615160)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3615149"
% 1.11/0.96 % (3615159)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2740321317:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 1.11/0.96 % (3615157)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4055658026:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.11/0.96 % (3615154)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1684927523:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 1.11/0.96 % (3615155)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1741255838:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 1.11/0.96 % (3615158)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3602646460:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 1.11/0.96 % (3615156)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1358099322:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 1.11/0.96 % (3615158)Instruction limit reached!
% 1.11/0.96 % (3615158)------------------------------
% 1.11/0.96 % (3615158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.11/0.96 % (3615158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.96 % (3615158)CaDiCaL version: 2.1.3
% 1.11/0.96 % (3615158)Termination reason: Instruction limit
% 1.11/0.96 % (3615158)Termination phase: Saturation
% 1.11/0.96 % (3615158)Time elapsed: 0.004 s
% 1.11/0.96 % (3615158)Peak memory usage: 88 MB
% 1.11/0.96 % (3615158)Instructions burned: 5 (million)
% 1.11/0.96 % (3615157)Instruction limit reached!
% 1.11/0.96 % (3615157)------------------------------
% 1.11/0.96 % (3615157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.11/0.96 % (3615157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.96 % (3615157)CaDiCaL version: 2.1.3
% 1.11/0.96 % (3615157)Termination reason: Instruction limit
% 1.11/0.96 % (3615157)Termination phase: Saturation
% 1.11/0.96 % (3615157)Time elapsed: 0.005 s
% 1.11/0.96 % (3615157)Peak memory usage: 88 MB
% 1.11/0.96 % (3615157)Instructions burned: 7 (million)
% 1.11/0.96 % (3615156)Also succeeded, but the first one will report.
% 1.11/0.96 % (3615154)Instruction limit reached!
% 1.11/0.96 % (3615154)------------------------------
% 1.11/0.96 % (3615154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.11/0.96 % (3615154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.96 % (3615154)CaDiCaL version: 2.1.3
% 1.11/0.96 % (3615154)Termination reason: Instruction limit
% 1.11/0.96 % (3615154)Termination phase: Saturation
% 1.11/0.96 % (3615154)Time elapsed: 0.031 s
% 1.11/0.96 % (3615154)Peak memory usage: 115 MB
% 1.11/0.96 % (3615154)Instructions burned: 13 (million)
% 1.11/0.96 % (3615159)Also succeeded, but the first one will report.
% 1.11/0.96 % (3615155)Also succeeded, but the first one will report.
% 1.11/0.96 % (3615168)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4017799434:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.11/0.96 % (3615160)Refutation found. Thanks to Tanya!
% 1.11/0.96 % SZS status Theorem for theBenchmark
% 1.11/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.06 % (3615160)------------------------------
% 2.72/1.06 % (3615160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.06 % (3615160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.06 % (3615160)CaDiCaL version: 2.1.3
% 2.72/1.06 % (3615160)Termination reason: Refutation
% 2.72/1.06 % (3615160)Time elapsed: 0.030 s
% 2.72/1.06 % (3615160)Peak memory usage: 116 MB
% 2.72/1.06 % (3615160)Instructions burned: 35 (million)
% 2.72/1.06 % (3615160)------------------------------
% 2.72/1.06 % (3615160)------------------------------
% 2.72/1.06 % (3615149)Success in time 0.305 s
% 2.72/1.06 % Vampire exiting
%------------------------------------------------------------------------------