%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN000^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:41:36 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 15 ( 5 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 12 con; 0-4 aty)
% Number of variables : 6 ( 0 ^; 2 !; 4 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
new: $tType ).
thf(func_def_0,type,
p0: $o ).
thf(func_def_1,type,
q0: $o ).
thf(func_def_2,type,
r0: $o ).
thf(func_def_3,type,
s0: $o ).
thf(func_def_7,type,
f: $i > $i ).
thf(func_def_8,type,
g: $i > $i > $i > $i ).
thf(func_def_9,type,
p: $i > $o ).
thf(func_def_10,type,
q: $i > $i > $o ).
thf(func_def_11,type,
r: $i > $i > $i > $o ).
thf(func_def_12,type,
s: $i > $o ).
thf(func_def_14,type,
'A proposition': $o ).
thf(func_def_15,type,
'A predicate': $i > $o ).
thf(func_def_17,type,
'A function': $i > $i ).
thf(func_def_19,type,
l1: $i > ( $i > $o ) > $o ).
thf(func_def_20,type,
l2: ( $i > ( $i > $i ) > $i ) > $o ).
thf(func_def_21,type,
newc: new ).
thf(func_def_22,type,
newf: new > $i > new ).
thf(func_def_23,type,
newp: new > $i > $o ).
thf(func_def_24,type,
ia1: $o ).
thf(func_def_25,type,
ia2: $o ).
thf(func_def_26,type,
ia3: $o ).
thf(func_def_29,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_32,type,
sK0: $i > $i ).
thf(func_def_33,type,
sK1: $i > $i ).
thf(func_def_35,type,
sK3: $i > $i ).
thf(func_def_36,type,
sK4: $i > $i ).
thf(func_def_37,type,
sK5: $i > $i ).
thf(func_def_38,type,
sK6: $i > $i ).
thf(f11,axiom,
p @ h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_hypothesis) ).
thf(f12,conjecture,
? [X0: $i] : ( p @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_conjecture) ).
thf(f13,negated_conjecture,
~ ? [X0: $i] : ( p @ X0 ),
inference(negated_conjecture,[status(cth)],[f12]) ).
thf(f21,plain,
~ ? [X0: $i] : ( p @ X0 ),
inference(rectify,[],[f13]) ).
thf(f22,plain,
~ ? [X0: $i] :
( ( p @ X0 )
= $true ),
inference(fool_elimination,[],[f21]) ).
thf(f38,plain,
p @ h,
inference(rectify,[],[f11]) ).
thf(f39,plain,
( ( p @ h )
= $true ),
inference(fool_elimination,[],[f38]) ).
thf(f48,plain,
! [X0: $i] :
( ( p @ X0 )
!= $true ),
inference(ennf_transformation,[],[f22]) ).
thf(f69,plain,
( ( p @ h )
= $true ),
inference(cnf_transformation,[],[f39]) ).
thf(f75,plain,
! [X0: $i] :
( ( p @ X0 )
!= $true ),
inference(cnf_transformation,[],[f48]) ).
thf(f92,plain,
$false,
inference(forward_subsumption_resolution,[],[f69,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN000^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:12:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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
% 0.21/0.28 % (2687815)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (2687824)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3866082607:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.28 % (2687824) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2687815-2687824"...
% 0.21/0.28 % (2687824)...printing done.
% 0.21/0.28 % (2687824)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 % (2687824)------------------------------
% 0.21/0.28 % (2687824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (2687824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (2687824)CaDiCaL version: 2.1.3
% 0.21/0.28 % (2687824)Termination reason: Refutation
% 0.21/0.28 % (2687824)Time elapsed: 0.002 s
% 0.21/0.28 % (2687824)Peak memory usage: 12 MB
% 0.21/0.28 % (2687824)Instructions burned: 4 (million)
% 0.21/0.28 % (2687815)Success in time 0.032 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------