%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP001^5 : 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 : n008.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 0.21s 0.28s
% Output : Refutation 0.21s
% 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 : 40 ( 40 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(type_def_7,type,
tp__i: $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_9,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_11,type,
c_2Emin_2E_40: del > $i ).
tff(func_def_12,type,
ty_2Ebool_2Eitself: del > del ).
tff(func_def_13,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_15,type,
c_2Ebool_2E_3F: del > $i ).
tff(func_def_16,type,
c_2Ebool_2E_3F_21: del > $i ).
tff(func_def_17,type,
c_2Ebool_2EARB: del > $i ).
tff(func_def_19,type,
c_2Ebool_2ECOND: del > $i ).
tff(func_def_20,type,
c_2Ebool_2EDATATYPE: del > $i ).
tff(func_def_22,type,
c_2Ebool_2EIN: del > $i ).
tff(func_def_23,type,
c_2Ebool_2ELET: del > del > $i ).
tff(func_def_24,type,
c_2Ebool_2EONE__ONE: del > del > $i ).
tff(func_def_25,type,
c_2Ebool_2EONTO: del > del > $i ).
tff(func_def_26,type,
c_2Ebool_2ERES__ABSTRACT: del > del > $i ).
tff(func_def_27,type,
c_2Ebool_2ERES__EXISTS: del > $i ).
tff(func_def_28,type,
c_2Ebool_2ERES__EXISTS__UNIQUE: del > $i ).
tff(func_def_29,type,
c_2Ebool_2ERES__FORALL: del > $i ).
tff(func_def_30,type,
c_2Ebool_2ERES__SELECT: del > $i ).
tff(func_def_32,type,
c_2Ebool_2ETYPE__DEFINITION: del > del > $i ).
tff(func_def_34,type,
c_2Ebool_2Eitself__case: del > del > $i ).
tff(func_def_35,type,
c_2Ebool_2Eliteral__case: del > del > $i ).
tff(func_def_36,type,
c_2Ebool_2Ethe__value: del > $i ).
tff(func_def_38,type,
inj__i: tp__i > $i ).
tff(func_def_39,type,
surj__i: $i > tp__i ).
tff(func_def_40,type,
db1:
!>[X0: $tType] : X0 ).
tff(func_def_41,type,
db0:
!>[X0: $tType] : X0 ).
tff(func_def_42,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
tff(func_def_43,type,
db2:
!>[X0: $tType] : X0 ).
tff(func_def_46,type,
db3:
!>[X0: $tType] : X0 ).
tff(func_def_48,type,
sK1: ( $i > $i ) > del > del > $i ).
tff(func_def_49,type,
sK2: del > $i > $i ).
tff(func_def_50,type,
sK3: $i > del > $i ).
tff(func_def_52,type,
sK5: $i > del > $i > $i ).
fof(f73,conjecture,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).
fof(f74,negated_conjecture,
~ $true,
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f219,plain,
$false,
inference(true_and_false_elimination,[],[f74]) ).
fof(f292,plain,
$false,
inference(cnf_transformation,[],[f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP001^5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n008.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 19:18:59 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.23 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
% 0.21/0.28 % (3604632)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (3604637)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2953252469:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.28 % (3604637) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3604632-3604637"...
% 0.21/0.28 % (3604643)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.28 % (3604643)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
% 0.21/0.28 % (3604637)...printing done.
% 0.21/0.28 % (3604637)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (3604637)------------------------------
% 0.21/0.28 % (3604637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3604637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3604637)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3604637)Termination reason: Refutation
% 0.21/0.28 % (3604637)Time elapsed: 0.004 s
% 0.21/0.28 % (3604637)Peak memory usage: 12 MB
% 0.21/0.28 % (3604637)Instructions burned: 16 (million)
% 0.21/0.28 % (3604632)Success in time 0.039 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------