%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO205^5 : 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 : n026.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 08:47:11 AM UTC 2026
% Result : Theorem 0.23s 0.30s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 13 ( 7 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 34 ( 4 fml; 30 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 7 !; 6 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
sP0: $o > $o ).
tff(f1,conjecture,
? [X0: $o,X1: $o] :
( ( (X0) = (X1) )
= ( (X1) = (X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT27) ).
tff(f2,negated_conjecture,
~ ? [X0: $o,X1: $o] :
( ( (X0) = (X1) )
= ( (X1) = (X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $o,X1: $o] :
( ( (X0) = (X1) )
<=> ( (X0) = (X1) ) ),
inference(fool_elimination,[],[f2]) ).
tff(f4,plain,
! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
<~> ( (X0) = (X1) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
! [X0: $o,X1: $o] :
( ( ( (X0) != (X1) )
| ( (X0) != (X1) ) )
& ( ( (X0) = (X1) )
| ( (X0) = (X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f7,plain,
! [X0: $o,X1: $o] :
( ( (X0) != (X1) )
| ( (X0) != (X1) ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f12,plain,
! [X1: $o] : ( (X1) != (X1) ),
inference(equality_resolution,[],[f7]) ).
tff(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO205^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n026.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 16:41:58 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.25 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
% 0.23/0.30 % (841546)Detected formulas, will run a generic FOF schedule.
% 0.23/0.30 % (841552)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2947901457:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2999 on theBenchmark for (2999ds/261632Mi)
% 0.23/0.30 % (841552) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-841546-841552"...
% 0.23/0.30 % (841552)...printing done.
% 0.23/0.30 % (841552)Refutation found. Thanks to Tanya!
% 0.23/0.30 % SZS status Theorem for theBenchmark
% 0.23/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.30 % (841552)------------------------------
% 0.23/0.30 % (841552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.30 % (841552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.30 % (841552)CaDiCaL version: 2.1.3
% 0.23/0.30 % (841552)Termination reason: Refutation
% 0.23/0.30 % (841552)Time elapsed: 0.0000 s
% 0.23/0.30 % (841552)Peak memory usage: 11 MB
% 0.23/0.30 % (841546)Success in time 0.037 s
% 0.23/0.30 % Vampire exiting
%------------------------------------------------------------------------------