%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO365^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:47:31 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 129 ( 33 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 78 ( 33 ~; 10 |; 5 &; 21 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cA: $o ).
thf(func_def_1,type,
cC: $o > $o ).
thf(func_def_2,type,
cEXT2: $o ).
thf(func_def_3,type,
cEXT_eq_0: $o ).
thf(func_def_7,type,
vNOT: $o > $o ).
thf(func_def_8,type,
sK0: $o ).
thf(func_def_9,type,
sK1: $o ).
thf(f1,axiom,
( ( cEXT2
= ( cC @ cA ) )
=> ( cC
@ ~ ~ cA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2_def) ).
thf(f3,conjecture,
( cEXT_eq_0
=> cEXT2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2A) ).
thf(f4,negated_conjecture,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f7,plain,
( ( cEXT2
= ( cC @ cA ) )
=> ( cC
@ ~ ~ cA ) ),
inference(rectify,[],[f1]) ).
thf(f8,plain,
( ( cEXT2 = $true )
<=> ( ( ( cC @ cA )
= $true )
=> ( ( cC
@ ~ ~ cA )
= $true ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
~ ( ( cEXT_eq_0 = $true )
=> ( cEXT2 = $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( ( cEXT2 != $true )
& ( cEXT_eq_0 = $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f13,plain,
( ( cEXT2 = $true )
<=> ( ( ( cC @ cA )
!= $true )
| ( ( cC
@ ~ ~ cA )
= $true ) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f14,plain,
( ( ( cEXT2 = $true )
| ( ( ( cC @ cA )
= $true )
& ( ( cC
@ ~ ~ cA )
!= $true ) ) )
& ( ( ( cC @ cA )
!= $true )
| ( ( cC
@ ~ ~ cA )
= $true )
| ( cEXT2 != $true ) ) ),
inference(nnf_transformation,[],[f13]) ).
thf(f15,plain,
( ( ( cEXT2 = $true )
| ( ( ( cC @ cA )
= $true )
& ( ( cC
@ ~ ~ cA )
!= $true ) ) )
& ( ( ( cC @ cA )
!= $true )
| ( ( cC
@ ~ ~ cA )
= $true )
| ( cEXT2 != $true ) ) ),
inference(flattening,[],[f14]) ).
thf(f20,plain,
( ( ( cC
@ ~ ~ cA )
!= $true )
| ( cEXT2 = $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f21,plain,
( ( ( cC @ cA )
= $true )
| ( cEXT2 = $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f23,plain,
cEXT2 != $true,
inference(cnf_transformation,[],[f11]) ).
thf(f38,plain,
( ( cEXT2 = $true )
| ( ( cC @ cA )
!= $true ) ),
inference(boolean_simplification,[],[f20]) ).
thf(f41,plain,
( ( cC @ cA )
!= $true ),
inference(forward_subsumption_resolution,[],[f38,f23]) ).
thf(f42,plain,
( ( cC @ cA )
= $true ),
inference(forward_subsumption_resolution,[],[f21,f23]) ).
thf(f43,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO365^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n002.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:51:53 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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
% 0.22/0.28 % (1545108)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (1545113)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1387221972:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.28 % (1545113) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1545108-1545113"...
% 0.22/0.28 % (1545113)...printing done.
% 0.22/0.28 % (1545113)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (1545113)------------------------------
% 0.22/0.28 % (1545113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (1545113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (1545113)CaDiCaL version: 2.1.3
% 0.22/0.28 % (1545113)Termination reason: Refutation
% 0.22/0.28 % (1545113)Time elapsed: 0.001 s
% 0.22/0.28 % (1545113)Peak memory usage: 12 MB
% 0.22/0.28 % (1545113)Instructions burned: 1 (million)
% 0.22/0.28 % (1545108)Success in time 0.023 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------