%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 02:52:03 PM UTC 2026
% Result : Theorem 24.60s 4.06s
% Output : Proof 24.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 12 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& m1_subset_1(C,k1_zfmisc_1(A))
& ~ v1_xboole_0(A) )
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f33_nnf,plain,
! [A,B,C,D] :
( m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
| ~ m2_relset_1(D,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| v1_xboole_0(A) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [A,C,D,B] :
( m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
| ~ m2_relset_1(D,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| v1_xboole_0(A) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c48,plain,
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
fof(f0,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f0_neg,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A] :
( ? [B,C] :
( ? [D] :
( ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
& m2_relset_1(D,A,B) )
& m1_subset_1(C,k1_zfmisc_1(A)) )
& ~ v1_xboole_0(A) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ~ m1_subset_1(a_4_0_relset_2(sk0,sk1,sk2,sk3),k1_zfmisc_1(k1_zfmisc_1(sk1)))
& m2_relset_1(sk3,sk0,sk1)
& m1_subset_1(sk2,k1_zfmisc_1(sk0))
& ~ v1_xboole_0(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f0_nnf]) ).
cnf(c1,plain,
m1_subset_1(sk2,k1_zfmisc_1(sk0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p135,plain,
( m1_subset_1(a_4_0_relset_2(sk0,X1,sk2,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X0,sk0,X1)
| v1_xboole_0(sk0) ),
inference(resolution,[status(thm)],[c48,c1]) ).
cnf(c2,plain,
m2_relset_1(sk3,sk0,sk1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p140,plain,
( m1_subset_1(a_4_0_relset_2(sk0,sk1,sk2,sk3),k1_zfmisc_1(k1_zfmisc_1(sk1)))
| v1_xboole_0(sk0) ),
inference(resolution,[status(thm)],[p135,c2]) ).
cnf(c3,plain,
~ m1_subset_1(a_4_0_relset_2(sk0,sk1,sk2,sk3),k1_zfmisc_1(k1_zfmisc_1(sk1))),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p142,plain,
v1_xboole_0(sk0),
inference(resolution,[status(thm)],[p140,c3]) ).
cnf(c0,plain,
~ v1_xboole_0(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p143,plain,
$false,
inference(resolution,[status(thm)],[p142,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Thu Sep 24 14:09:12 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.60/4.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.60/4.06 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------