%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO390^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:47:35 AM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 27 ( 12 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 0 |; 2 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 32 ( 12 fml; 20 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
sK0: $o ).
tff(func_def_1,type,
sK1: $o ).
tff(pred_def_1,type,
sP2: $o > $o ).
tff(pred_def_2,type,
sP3: $o > $o ).
tff(f1,conjecture,
! [X0: $o,X1: $o] :
( ( (X0)
<=> (X1) )
=> ( (X0) = (X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT_eq_0) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
( ( (X0)
<=> (X1) )
=> ( (X0) = (X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o,X1: $o] :
( ( (X0)
<=> (X1) )
=> ( (X0) = (X1) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
=> ( (X0) = (X1) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
? [X0: $o,X1: $o] :
( ( (X0) != (X1) )
& ( (X0) = (X1) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( sK0 != sK1 )
& ( sK0 = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
tff(f7,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f6]) ).
tff(f11,plain,
sK1 != sK1,
inference(definition_unfolding,[],[f8,f7]) ).
tff(f14,definition,
~ sP3(sK1),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
tff(f15,plain,
sP3(sK1),
inference(inequality_splitting,[],[f11,f14]) ).
tff(f16,plain,
$false,
inference(forward_subsumption_resolution,[],[f15,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO390^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:49:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.21/0.26 % (2366564)Detected formulas, will run a generic FOF schedule.
% 0.21/0.26 % (2366570)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=687399937:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2999 on theBenchmark for (2999ds/261632Mi)
% 0.21/0.26 % (2366570) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2366564-2366570"...
% 0.21/0.26 % (2366570)...printing done.
% 0.21/0.26 % (2366570)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26 % (2366570)------------------------------
% 0.21/0.26 % (2366570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (2366570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (2366570)CaDiCaL version: 2.1.3
% 0.21/0.26 % (2366570)Termination reason: Refutation
% 0.21/0.26 % (2366570)Time elapsed: 0.001 s
% 0.21/0.26 % (2366570)Peak memory usage: 11 MB
% 0.21/0.26 % (2366564)Success in time 0.029 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------