%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 : Fri Sep 25 02:19:57 PM UTC 2026
% Result : Theorem 2.15s 1.40s
% Output : Proof 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 7 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [A] :
( ( epsilon_connected(A)
& epsilon_transitive(A) )
=> ordinal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f10_nnf,plain,
! [A] :
( ordinal(A)
| ~ epsilon_connected(A)
| ~ epsilon_transitive(A) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [A] :
( ordinal(A)
| ~ epsilon_connected(A)
| ~ epsilon_transitive(A) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c13,plain,
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f28,axiom,
( epsilon_connected(empty_set)
& epsilon_transitive(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l18_ordinal1) ).
fof(f28_nnf,plain,
( epsilon_connected(empty_set)
& epsilon_transitive(empty_set) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( epsilon_connected(empty_set)
& epsilon_transitive(empty_set) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c50,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p70,plain,
( ordinal(empty_set)
| ~ epsilon_connected(empty_set) ),
inference(resolution,[status(thm)],[c13,c50]) ).
cnf(c51,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p71,plain,
ordinal(empty_set),
inference(resolution,[status(thm)],[p70,c51]) ).
fof(f26,conjecture,
ordinal(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_ordinal1) ).
fof(f26_neg,negated_conjecture,
~ ordinal(empty_set),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f26_nnf,plain,
~ ordinal(empty_set),
inference(nnf_transformation,[status(thm)],[f26_neg]) ).
fof(f26_sk,plain,
~ ordinal(empty_set),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c46,plain,
~ ordinal(empty_set),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p72,plain,
$false,
inference(resolution,[status(thm)],[p71,c46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 03:50:05 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.15/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.15/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------