%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO215^5 : 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 : n016.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 08:47:13 AM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 6 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0,X1] : X0 != X1
=> ! [X2] :
? [X3] : X3 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM26) ).
fof(f2,negated_conjecture,
~ ( ? [X0,X1] : X0 != X1
=> ! [X2] :
? [X3] : X3 != X2 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X2] :
! [X3] : X2 = X3
& ? [X0,X1] : X0 != X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ? [X0] :
! [X1] : X0 = X1
& ? [X2,X3] : X2 != X3 ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X1] : sK0 = X1
& sK1 != sK2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X2,sK1),skolemize(X3,sK2)],[f4]) ).
fof(f6,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X1] : sK0 = X1,
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
sK0 != sK1,
inference(superposition,[],[f6,f7]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO215^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:44:35 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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
% 0.22/0.29 % (591351)Detected 'Essentially Bernays–Schönfinkel–Ramsey OR Essentially ground' problem, will run a specialized EPR schedule (with support for satisfiability detection).
% 0.22/0.29 % (591360)dis+10_1_sil=2000:bsr=unit_only:sac=on:avsqc=5:random_seed=995970667:avsq=on:i=109:aac=none:nicw=on_2999 on theBenchmark for (2999ds/109Mi)
% 0.22/0.29 % (591360) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-591351-591360"...
% 0.22/0.29 % (591360)...printing done.
% 0.22/0.29 % (591360)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (591360)------------------------------
% 0.22/0.29 % (591360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (591360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (591360)CaDiCaL version: 2.1.3
% 0.22/0.29 % (591360)Termination reason: Refutation
% 0.22/0.29 % (591360)Time elapsed: 0.001 s
% 0.22/0.29 % (591360)Peak memory usage: 11 MB
% 0.22/0.29 % (591351)Success in time 0.03 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------