%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV060^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 0.12s 0.27s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 71 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 209 ( 29 ~; 23 |; 26 &; 116 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 52 !; 18 ?; 70 :)
% 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: b ).
thf(func_def_4,type,
sK1: b > a > $o ).
thf(func_def_5,type,
sK2: a ).
thf(func_def_6,type,
sK3: b > a > $o ).
thf(func_def_7,type,
sK4: a ).
thf(func_def_8,type,
sK5: b ).
thf(f1,conjecture,
! [X1: a,X2: b > a > $o,X3: b > a > $o,X0: b] :
( ( ~ ( X3 @ X0 @ X1 )
& ! [X5: a,X4: b] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X5 = X1 )
& ( X4 = X0 ) )
| ( X2 @ X4 @ X5 ) ) ) )
=> ! [X6: b,X7: a] :
( ( X3 @ X6 @ X7 )
=> ( X2 @ X6 @ X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM173_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a,X2: b > a > $o,X3: b > a > $o,X0: b] :
( ( ~ ( X3 @ X0 @ X1 )
& ! [X5: a,X4: b] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X5 = X1 )
& ( X4 = X0 ) )
| ( X2 @ X4 @ X5 ) ) ) )
=> ! [X6: b,X7: a] :
( ( X3 @ X6 @ X7 )
=> ( X2 @ X6 @ X7 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a,X1: b > a > $o,X2: b > a > $o,X3: b] :
( ( ~ ( X2 @ X3 @ X0 )
& ! [X4: a,X5: b] :
( ( X2 @ X5 @ X4 )
=> ( ( ( X0 = X4 )
& ( X3 = X5 ) )
| ( X1 @ X5 @ X4 ) ) ) )
=> ! [X6: b,X7: a] :
( ( X2 @ X6 @ X7 )
=> ( X1 @ X6 @ X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a,X1: b > a > $o,X2: b > a > $o,X3: b] :
( ( ( $true
!= ( X2 @ X3 @ X0 ) )
& ! [X4: a,X5: b] :
( ( $true
= ( X2 @ X5 @ X4 ) )
=> ( ( $true
= ( X1 @ X5 @ X4 ) )
| ( ( X3 = X5 )
& ( X0 = X4 ) ) ) ) )
=> ! [X7: a,X6: b] :
( ( ( X2 @ X6 @ X7 )
= $true )
=> ( $true
= ( X1 @ X6 @ X7 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X1: b > a > $o,X2: b > a > $o,X0: a,X3: b] :
( ( ! [X4: a,X5: b] :
( ( $true
= ( X2 @ X5 @ X4 ) )
=> ( ( $true
= ( X1 @ X5 @ X4 ) )
| ( ( X3 = X5 )
& ( X0 = X4 ) ) ) )
& ( $true
!= ( X2 @ X3 @ X0 ) ) )
=> ! [X7: a,X6: b] :
( ( ( X2 @ X6 @ X7 )
= $true )
=> ( $true
= ( X1 @ X6 @ X7 ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X1: b > a > $o,X2: b > a > $o,X0: a,X3: b] :
( ? [X7: a,X6: b] :
( ( ( X2 @ X6 @ X7 )
= $true )
& ( $true
!= ( X1 @ X6 @ X7 ) ) )
& ! [X4: a,X5: b] :
( ( $true
= ( X1 @ X5 @ X4 ) )
| ( ( X3 = X5 )
& ( X0 = X4 ) )
| ( $true
!= ( X2 @ X5 @ X4 ) ) )
& ( $true
!= ( X2 @ X3 @ X0 ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
? [X3: b,X1: b > a > $o,X0: a,X2: b > a > $o] :
( ( $true
!= ( X2 @ X3 @ X0 ) )
& ! [X4: a,X5: b] :
( ( ( X3 = X5 )
& ( X0 = X4 ) )
| ( $true
!= ( X2 @ X5 @ X4 ) )
| ( $true
= ( X1 @ X5 @ X4 ) ) )
& ? [X7: a,X6: b] :
( ( ( X2 @ X6 @ X7 )
= $true )
& ( $true
!= ( X1 @ X6 @ X7 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: b,X1: b > a > $o,X2: a,X3: b > a > $o] :
( ( $true
!= ( X3 @ X0 @ X2 ) )
& ! [X4: a,X5: b] :
( ( ( X0 = X5 )
& ( X2 = X4 ) )
| ( $true
!= ( X3 @ X5 @ X4 ) )
| ( $true
= ( X1 @ X5 @ X4 ) ) )
& ? [X6: a,X7: b] :
( ( $true
= ( X3 @ X7 @ X6 ) )
& ( $true
!= ( X1 @ X7 @ X6 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( $true
!= ( sK3 @ sK0 @ sK2 ) )
& ! [X4: a,X5: b] :
( ( ( sK0 = X5 )
& ( sK2 = X4 ) )
| ( ( sK3 @ X5 @ X4 )
!= $true )
| ( $true
= ( sK1 @ X5 @ X4 ) ) )
& ( ( sK3 @ sK5 @ sK4 )
= $true )
& ( $true
!= ( sK1 @ sK5 @ sK4 ) ) ),
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(X6,sK4),skolemize(X7,sK5)],[f8]) ).
thf(f10,plain,
( $true
!= ( sK1 @ sK5 @ sK4 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
( ( sK3 @ sK5 @ sK4 )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
! [X4: a,X5: b] :
( ( ( sK3 @ X5 @ X4 )
!= $true )
| ( $true
= ( sK1 @ X5 @ X4 ) )
| ( sK2 = X4 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
! [X4: a,X5: b] :
( ( ( sK3 @ X5 @ X4 )
!= $true )
| ( $true
= ( sK1 @ X5 @ X4 ) )
| ( sK0 = X5 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( $true
!= ( sK3 @ sK0 @ sK2 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
( ( $true
= ( sK1 @ sK5 @ sK4 ) )
| ( $true != $true )
| ( sK4 = sK2 ) ),
inference(constrained_superposition,[],[f12,f11]) ).
thf(f18,plain,
( ( $true
= ( sK1 @ sK5 @ sK4 ) )
| ( sK4 = sK2 ) ),
inference(trivial_inequality_removal,[],[f17]) ).
thf(f19,plain,
sK4 = sK2,
inference(forward_subsumption_resolution,[],[f18,f10]) ).
thf(f20,plain,
( $true
!= ( sK3 @ sK0 @ sK4 ) ),
inference(constrained_superposition,[],[f14,f19]) ).
thf(f21,plain,
( ( $true
= ( sK1 @ sK5 @ sK4 ) )
| ( sK0 = sK5 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f13,f11]) ).
thf(f22,plain,
( ( sK0 = sK5 )
| ( $true
= ( sK1 @ sK5 @ sK4 ) ) ),
inference(trivial_inequality_removal,[],[f21]) ).
thf(f23,plain,
sK0 = sK5,
inference(forward_subsumption_resolution,[],[f22,f10]) ).
thf(f24,plain,
( ( sK3 @ sK5 @ sK4 )
!= $true ),
inference(constrained_superposition,[],[f20,f23]) ).
thf(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f24,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV060^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n020.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 15:06:49 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running higher-order theorem proving
% 0.12/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.27 % (1165841)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.12/0.27 % (1165849)lrs+10_16_si=on:nwc=1.5:random_seed=2636413095:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.12/0.27 % (1165849) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1165841-1165849"...
% 0.12/0.27 % (1165849)...printing done.
% 0.12/0.27 % (1165854)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.12/0.27 % (1165854)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
% 0.12/0.27 % (1165849)Refutation found. Thanks to Tanya!
% 0.12/0.27 % SZS status Theorem for theBenchmark
% 0.12/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.27 % (1165849)------------------------------
% 0.12/0.27 % (1165849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.27 % (1165849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.27 % (1165849)CaDiCaL version: 2.1.3
% 0.12/0.27 % (1165849)Termination reason: Refutation
% 0.12/0.27 % (1165849)Time elapsed: 0.001 s
% 0.12/0.27 % (1165849)Peak memory usage: 12 MB
% 0.12/0.27 % (1165849)Instructions burned: 2 (million)
% 0.12/0.27 % (1165841)Success in time 0.024 s
% 0.12/0.27 % Vampire exiting
%------------------------------------------------------------------------------