%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV061^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 : Wed Sep 30 08:37:34 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 147 ( 78 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 198 ( 36 ~; 34 |; 28 &; 86 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 44 !; 18 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: a ).
thf(func_def_4,type,
sK1: b > a > $o ).
thf(func_def_5,type,
sK2: b ).
thf(func_def_6,type,
sK3: b > a > $o ).
thf(func_def_7,type,
sK4: b ).
thf(func_def_8,type,
sK5: a ).
thf(f1,conjecture,
! [X2: b > a > $o,X3: b > a > $o,X0: b,X1: a] :
( ! [X5: a,X4: b] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X4 = X0 )
& ( X5 = X1 ) )
| ( X2 @ X4 @ X5 ) ) )
=> ! [X6: b,X7: a] :
( ( ( X3 @ X6 @ X7 )
& ~ ( ( X7 = X1 )
& ( X6 = X0 ) ) )
=> ( X2 @ X6 @ X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM176_pme) ).
thf(f2,negated_conjecture,
~ ! [X2: b > a > $o,X3: b > a > $o,X0: b,X1: a] :
( ! [X5: a,X4: b] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X4 = X0 )
& ( X5 = X1 ) )
| ( X2 @ X4 @ X5 ) ) )
=> ! [X6: b,X7: a] :
( ( ( X3 @ X6 @ X7 )
& ~ ( ( X7 = X1 )
& ( X6 = X0 ) ) )
=> ( X2 @ X6 @ X7 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: b > a > $o,X1: b > a > $o,X2: b,X3: a] :
( ! [X4: a,X5: b] :
( ( X1 @ X5 @ X4 )
=> ( ( ( X2 = X5 )
& ( X3 = X4 ) )
| ( X0 @ X5 @ X4 ) ) )
=> ! [X6: b,X7: a] :
( ( ( X1 @ X6 @ X7 )
& ~ ( ( X3 = X7 )
& ( X2 = X6 ) ) )
=> ( X0 @ X6 @ X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: b > a > $o,X1: b > a > $o,X3: a,X2: b] :
( ! [X4: a,X5: b] :
( ( $true
= ( X1 @ X5 @ X4 ) )
=> ( ( $true
= ( X0 @ X5 @ X4 ) )
| ( ( X2 = X5 )
& ( X3 = X4 ) ) ) )
=> ! [X7: a,X6: b] :
( ( ( ( X1 @ X6 @ X7 )
= $true )
& ~ ( ( X3 = X7 )
& ( X2 = X6 ) ) )
=> ( ( X0 @ X6 @ X7 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: b > a > $o,X1: b > a > $o,X3: a,X2: b] :
( ? [X7: a,X6: b] :
( ( ( X0 @ X6 @ X7 )
!= $true )
& ( ( X1 @ X6 @ X7 )
= $true )
& ( ( X2 != X6 )
| ( X3 != X7 ) ) )
& ! [X4: a,X5: b] :
( ( $true
= ( X0 @ X5 @ X4 ) )
| ( ( X2 = X5 )
& ( X3 = X4 ) )
| ( $true
!= ( X1 @ X5 @ X4 ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X3: a,X1: b > a > $o,X2: b,X0: b > a > $o] :
( ? [X6: b,X7: a] :
( ( ( X2 != X6 )
| ( X3 != X7 ) )
& ( ( X0 @ X6 @ X7 )
!= $true )
& ( ( X1 @ X6 @ X7 )
= $true ) )
& ! [X5: b,X4: a] :
( ( $true
!= ( X1 @ X5 @ X4 ) )
| ( ( X2 = X5 )
& ( X3 = X4 ) )
| ( $true
= ( X0 @ X5 @ X4 ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
? [X0: a,X1: b > a > $o,X2: b,X3: b > a > $o] :
( ? [X4: b,X5: a] :
( ( ( X2 != X4 )
| ( X0 != X5 ) )
& ( ( X3 @ X4 @ X5 )
!= $true )
& ( ( X1 @ X4 @ X5 )
= $true ) )
& ! [X6: b,X7: a] :
( ( ( X1 @ X6 @ X7 )
!= $true )
| ( ( X2 = X6 )
& ( X0 = X7 ) )
| ( ( X3 @ X6 @ X7 )
= $true ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ( ( sK4 != sK2 )
| ( sK0 != sK5 ) )
& ( ( sK3 @ sK4 @ sK5 )
!= $true )
& ( ( sK1 @ sK4 @ sK5 )
= $true )
& ! [X6: b,X7: a] :
( ( $true
!= ( sK1 @ X6 @ X7 ) )
| ( ( sK2 = X6 )
& ( sK0 = X7 ) )
| ( $true
= ( sK3 @ X6 @ X7 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f7]) ).
thf(f9,plain,
! [X6: b,X7: a] :
( ( $true
!= ( sK1 @ X6 @ X7 ) )
| ( $true
= ( sK3 @ X6 @ X7 ) )
| ( sK0 = X7 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
! [X6: b,X7: a] :
( ( $true
!= ( sK1 @ X6 @ X7 ) )
| ( $true
= ( sK3 @ X6 @ X7 ) )
| ( sK2 = X6 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
( ( sK1 @ sK4 @ sK5 )
= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
( ( sK3 @ sK4 @ sK5 )
!= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
( ( sK0 != sK5 )
| ( sK4 != sK2 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f17,definition,
( spl6_1
<=> ( sK0 = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f19,plain,
( ( sK0 != sK5 )
| spl6_1 ),
inference(avatar_component_clause,[],[f17]) ).
thf(f21,definition,
( spl6_2
<=> ( sK4 = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f23,plain,
( ( sK4 != sK2 )
| spl6_2 ),
inference(avatar_component_clause,[],[f21]) ).
thf(f24,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f13,f21,f17]) ).
thf(f25,plain,
( ( sK0 = sK5 )
| ( $true != $true )
| ( ( sK3 @ sK4 @ sK5 )
= $true ) ),
inference(constrained_superposition,[],[f9,f11]) ).
thf(f26,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $true )
| ( sK0 = sK5 ) ),
inference(trivial_inequality_removal,[],[f25]) ).
thf(f27,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $true )
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f26,f19]) ).
thf(f28,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f27,f12]) ).
thf(f29,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f28]) ).
thf(f30,plain,
( ( $true != $true )
| ( sK4 = sK2 )
| ( ( sK3 @ sK4 @ sK5 )
= $true ) ),
inference(constrained_superposition,[],[f10,f11]) ).
thf(f31,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $true )
| ( sK4 = sK2 ) ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f32,plain,
sK4 = sK2,
inference(forward_subsumption_resolution,[],[f31,f12]) ).
thf(f33,plain,
( $false
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f32,f23]) ).
thf(f34,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f33]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s2,plain,
spl6_1,
inference(sat_conversion,[],[f29]) ).
cnf(s3,plain,
spl6_2,
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
thf(f35,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV061^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 15:08:43 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.24 % (716696)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.24 % (716702)lrs+10_16_si=on:nwc=1.5:random_seed=3456487287:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.24 % (716702) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-716696-716702"...
% 0.08/0.24 % (716702)...printing done.
% 0.08/0.24 % (716707)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.24 % (716707)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.08/0.24 % (716702)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (716702)------------------------------
% 0.08/0.24 % (716702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (716702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (716702)CaDiCaL version: 2.1.3
% 0.08/0.24 % (716702)Termination reason: Refutation
% 0.08/0.24 % (716702)Time elapsed: 0.002 s
% 0.08/0.24 % (716702)Peak memory usage: 13 MB
% 0.08/0.24 % (716702)Instructions burned: 2 (million)
% 0.08/0.24 % (716696)Success in time 0.027 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------