%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Tue Sep 29 12:24:06 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 7 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f27,conjecture,
ordinal(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_ordinal1) ).
fof(f28,negated_conjecture,
~ ordinal(empty_set),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f30,axiom,
( epsilon_transitive(empty_set)
& epsilon_connected(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l18_ordinal1) ).
fof(f31,plain,
~ ordinal(empty_set),
inference(flattening,[],[f28]) ).
fof(f49,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f50,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(flattening,[],[f49]) ).
fof(f78,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f106,plain,
~ ordinal(empty_set),
inference(cnf_transformation,[],[f31]) ).
fof(f110,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[],[f30]) ).
fof(f111,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[],[f30]) ).
fof(f136,plain,
( ~ epsilon_transitive(empty_set)
| ordinal(empty_set) ),
inference(resolution,[],[f78,f110]) ).
fof(f137,plain,
ordinal(empty_set),
inference(forward_subsumption_resolution,[],[f136,f111]) ).
fof(f138,plain,
$false,
inference(forward_subsumption_resolution,[],[f137,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 19:47:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (3703128)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3703136)dis+10_1_sil=32000:sp=arity:random_seed=3253497485:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3703136) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3703128-3703136"...
% 0.10/0.45 % (3703136)...printing done.
% 0.10/0.45 % (3703136)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3703136)------------------------------
% 0.10/0.45 % (3703136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3703136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3703136)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3703136)Termination reason: Refutation
% 0.10/0.45 % (3703136)Time elapsed: 0.001 s
% 0.10/0.45 % (3703136)Peak memory usage: 12 MB
% 0.10/0.45 % (3703136)Instructions burned: 2 (million)
% 0.10/0.45 % (3703128)Success in time 0.035 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------