%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN989^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:41:45 AM UTC 2026
% Result : Theorem 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 11 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 20 ( 13 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 28 ( 16 fml; 12 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 3 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 6 ( 5 !; 1 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(f1,conjecture,
! [X0: $o] :
( ~ (X0)
| (X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
tff(f2,negated_conjecture,
~ ! [X0: $o] :
( ~ (X0)
| (X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o] :
( ~ (X0)
| (X0) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o] :
( ( $true != (X0) )
| ( $true = (X0) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ! [X0: $o] :
( ( $true != (X0) )
| ( $true = (X0) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
? [X0: $o] :
( ( $true = (X0) )
& ( $true != (X0) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ( $true = sK0 )
& ( $true != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f6]) ).
tff(f8,plain,
$true != sK0,
inference(cnf_transformation,[],[f7]) ).
tff(f9,plain,
$true = sK0,
inference(cnf_transformation,[],[f7]) ).
tff(f12,plain,
$true != $true,
inference(definition_unfolding,[],[f8,f9]) ).
tff(f13,plain,
$false,
inference(trivial_inequality_removal,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN989^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 16:20:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 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
% 0.19/0.26 % (990054)Detected formulas, will run a generic FOF schedule.
% 0.19/0.26 % (990061)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3970702247:s2a=on:i=272356:sd=1:bd=all:ss=included_2999 on theBenchmark for (2999ds/272356Mi)
% 0.19/0.26 % (990061) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-990054-990061"...
% 0.19/0.26 % (990061)...printing done.
% 0.19/0.26 % (990061)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Theorem for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (990061)------------------------------
% 0.19/0.26 % (990061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (990061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (990061)CaDiCaL version: 2.1.3
% 0.19/0.26 % (990061)Termination reason: Refutation
% 0.19/0.26 % (990061)Time elapsed: 0.0000 s
% 0.19/0.26 % (990061)Peak memory usage: 12 MB
% 0.19/0.26 % (990054)Success in time 0.022 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------