%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV012^5 : 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 : n018.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 08:37:28 AM UTC 2026
% Result : Theorem 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 7 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 26 ( 6 ~; 0 |; 12 &; 0 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-4 aty)
% Number of variables : 38 ( 28 ^; 10 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
( ( ( ^ [X0: $o,X1: $o] : $true )
= ( ^ [X0: $o,X1: $o] : $true ) )
& ! [X0: $o,X1: $o] :
( $true
=> $true )
& ! [X0: $o,X2: $o,X1: $o] :
( ( $true
& $true )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM519_pme) ).
thf(f2,negated_conjecture,
~ ( ( ( ^ [X0: $o,X1: $o] : $true )
= ( ^ [X0: $o,X1: $o] : $true ) )
& ! [X0: $o,X1: $o] :
( $true
=> $true )
& ! [X0: $o,X2: $o,X1: $o] :
( ( $true
& $true )
=> $true ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( ^ [X0: $o,X1: $o] : $true )
= ( ^ [X2: $o,X3: $o] : $true ) )
& ( $true
=> $true )
& ( ( $true
& $true )
=> $true ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ^ [Y0: $o,Y1: $o] : $true )
= ( ^ [Y0: $o,Y1: $o] : $true ) )
& ( $true
=> $true )
& ( ( $true
& $true )
=> $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ^ [Y0: $o,Y1: $o] : $true )
!= ( ^ [Y0: $o,Y1: $o] : $true ) ),
inference(true_and_false_elimination,[],[f4]) ).
thf(f6,plain,
( ( ^ [Y0: $o,Y1: $o] : $true )
!= ( ^ [Y0: $o,Y1: $o] : $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( ^ [Y0: $o,Y1: $o] : $true )
!= ( ^ [Y0: $o,Y1: $o] : $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f10,plain,
$false,
inference(trivial_inequality_removal,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV012^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 15:02:11 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.10/0.27 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
% 0.25/0.33 % (192621)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.33 % (192632)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.25/0.33 % (192632)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
% 0.25/0.33 % (192632)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3974657998:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.25/0.33 % (192632) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-192621-192632"...
% 0.25/0.33 % (192632)...printing done.
% 0.25/0.33 % (192632)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Theorem for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.33 % (192632)------------------------------
% 0.25/0.33 % (192632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (192632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (192632)CaDiCaL version: 2.1.3
% 0.25/0.33 % (192632)Termination reason: Refutation
% 0.25/0.33 % (192632)Time elapsed: 0.001 s
% 0.25/0.33 % (192632)Peak memory usage: 12 MB
% 0.25/0.33 % (192621)Success in time 0.044 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------