%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO089^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:46:35 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 176 ( 25 equ)
% Maximal formula atoms : 20 ( 10 avg)
% Number of connectives : 191 ( 82 ~; 56 |; 50 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 50 ( 50 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
t: $o ).
tff(func_def_1,type,
s: $o ).
tff(func_def_2,type,
q: $o ).
tff(func_def_3,type,
p: $o ).
tff(f1,conjecture,
( ( ~ t
| ~ s
| ~ q
| ~ ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) )
=> ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDMG7) ).
tff(f2,negated_conjecture,
~ ( ( ~ t
| ~ s
| ~ q
| ~ ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) )
=> ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ~ t
| ~ s
| ~ q
| ~ ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) )
=> ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( t
& s
& q
& ( ~ t
| ~ s
| ~ q
| ( t
& s
& q
& p ) )
& ( ~ t
| ~ s
| ~ q
| ( t
& s
& q
& ( ~ t
| ~ s
| ~ q
| ~ p ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( t
& s
& q
& ( ~ t
| ~ s
| ~ q
| ( t
& s
& q
& p ) )
& ( ~ t
| ~ s
| ~ q
| ( t
& s
& q
& ( ~ t
| ~ s
| ~ q
| ~ p ) ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( ( p != $true )
| ( q != $true )
| ( s != $true )
| ( t != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
( ( p = $true )
| ( q != $true )
| ( s != $true )
| ( t != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
q = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
s = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f10,plain,
t = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f13,plain,
( ( p = $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f7,f8,f9,f10]) ).
tff(f14,plain,
( ( p != $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f6,f8,f9,f10]) ).
tff(f15,plain,
( ( p != $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f14]) ).
tff(f16,plain,
p != $true,
inference(trivial_inequality_removal,[],[f15]) ).
tff(f17,plain,
( ( p = $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f13]) ).
tff(f18,plain,
p = $true,
inference(trivial_inequality_removal,[],[f17]) ).
tff(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO089^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n014.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 16:33:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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
% 0.22/0.27 % (2889358)Detected formulas, will run a generic FOF schedule.
% 0.22/0.27 % (2889368)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3713847721:i=132:kws=arity:er=filter_2999 on theBenchmark for (2999ds/132Mi)
% 0.22/0.27 % (2889368) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2889358-2889368"...
% 0.22/0.27 % (2889368)...printing done.
% 0.22/0.27 % (2889368)Refutation found. Thanks to Tanya!
% 0.22/0.27 % SZS status Theorem for theBenchmark
% 0.22/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.27 % (2889368)------------------------------
% 0.22/0.27 % (2889368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27 % (2889368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27 % (2889368)CaDiCaL version: 2.1.3
% 0.22/0.27 % (2889368)Termination reason: Refutation
% 0.22/0.27 % (2889368)Time elapsed: 0.001 s
% 0.22/0.27 % (2889368)Peak memory usage: 11 MB
% 0.22/0.27 % (2889358)Success in time 0.016 s
% 0.22/0.27 % Vampire exiting
%------------------------------------------------------------------------------