%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP001^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:07:34 AM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 4 unt; 0 def)
% Number of atoms : 4 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: del > del > del ).
tff(func_def_3,type,
mem: $i > del > $o ).
tff(func_def_4,type,
ap: $i > $i > $i ).
tff(func_def_5,type,
lam: del > ( $i > $i ) > $i ).
tff(func_def_6,type,
p: $i > $o ).
tff(func_def_7,type,
inj__o: $o > $i ).
tff(func_def_10,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_13,type,
db0:
!>[X0: $tType] : X0 ).
tff(func_def_14,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
tff(func_def_15,type,
sK0: del > del > ( $i > $i ) > $i ).
tff(func_def_16,type,
sK1: $i > del > $i > $i ).
fof(f13,conjecture,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).
fof(f14,negated_conjecture,
~ $true,
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f38,plain,
$false,
inference(true_and_false_elimination,[],[f14]) ).
fof(f54,plain,
$false,
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n001.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:23:21 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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
% 0.22/0.29 % (1689488)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (1689497)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2809950808:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (1689497) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1689488-1689497"...
% 0.22/0.29 % (1689497)...printing done.
% 0.22/0.29 % (1689497)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (1689497)------------------------------
% 0.22/0.29 % (1689497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1689497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1689497)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1689497)Termination reason: Refutation
% 0.22/0.29 % (1689497)Time elapsed: 0.001 s
% 0.22/0.29 % (1689497)Peak memory usage: 11 MB
% 0.22/0.29 % (1689497)Instructions burned: 2 (million)
% 0.22/0.29 % (1689488)Success in time 0.028 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------