%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN989^3 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:41:46 AM UTC 2026
% Result : Theorem 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 9 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 18 ( 12 ~; 5 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 18 ( 18 fml; 0 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 : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
p: $o ).
tff(f1,conjecture,
( ~ p
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIV0) ).
tff(f2,negated_conjecture,
~ ( ~ p
| p ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ~ p
| p ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( p != $true )
| ( p = $true ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ( ( p != $true )
| ( p = $true ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( ( p = $true )
& ( p != $true ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
p != $true,
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
p = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f11,plain,
$true != $true,
inference(definition_unfolding,[],[f7,f8]) ).
tff(f12,plain,
$false,
inference(trivial_inequality_removal,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN989^3 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n006.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 16:19:54 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.22 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
% 0.10/0.26 % (930312)Detected formulas, will run a generic FOF schedule.
% 0.10/0.26 % (930320)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=1967065623:st=5:i=107:sd=1:ss=included:er=filter_2999 on theBenchmark for (2999ds/107Mi)
% 0.10/0.26 % (930320) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-930312-930320"...
% 0.10/0.26 % (930320)...printing done.
% 0.10/0.26 % (930320)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Theorem for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (930320)------------------------------
% 0.10/0.26 % (930320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (930320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (930320)CaDiCaL version: 2.1.3
% 0.10/0.26 % (930320)Termination reason: Refutation
% 0.10/0.26 % (930320)Time elapsed: 0.0000 s
% 0.10/0.26 % (930320)Peak memory usage: 12 MB
% 0.10/0.26 % (930312)Success in time 0.036 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------