%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET062^6 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:23:13 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% Number of atoms : 10 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-4 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
cA: $i > $o ).
fof(f1,conjecture,
! [X0] :
( $false
=> vAPP($i,$o,cA,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSET76_pme) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( $false
=> vAPP($i,$o,cA,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X0] :
( $false
=> vAPP($i,$o,cA,X0) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ! [X0] :
( $false
=> vAPP($i,$o,cA,X0) = $true ),
inference(fool_elimination,[],[f3]) ).
fof(f5,plain,
$false,
inference(true_and_false_elimination,[],[f4]) ).
fof(f6,plain,
$false,
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET062^6 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:36:06 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.23 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
% 0.20/0.27 % (2114295)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (2114300)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=638614135:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.27 % (2114300) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2114295-2114300"...
% 0.20/0.27 % (2114300)...printing done.
% 0.20/0.27 % (2114300)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (2114300)------------------------------
% 0.20/0.27 % (2114300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2114300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2114300)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2114300)Termination reason: Refutation
% 0.20/0.27 % (2114300)Time elapsed: 0.0000 s
% 0.20/0.27 % (2114300)Peak memory usage: 11 MB
% 0.20/0.27 % (2114295)Success in time 0.032 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------