%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU177+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 02:51:14 PM UTC 2026
% Result : Theorem 5.55s 1.22s
% Output : Proof 5.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 94 ( 14 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 115 ( 44 ~; 39 |; 22 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 59 ( 6 sgn 30 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f25_nnf,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
& ~ in(C,B) )
| ( ! [D] : ~ in(ordered_pair(D,C),A)
& in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [A,B,C,D] :
( ( ( ( in(ordered_pair(sk12(A,B),sk11(A,B)),A)
& ~ in(sk11(A,B),B) )
| ( ~ in(ordered_pair(D,sk11(A,B)),A)
& in(sk11(A,B),B) )
| B = relation_rng(A) )
& ( ( ( ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( in(ordered_pair(sk10(A,B,C),C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk10,sk11,sk12])],[f25_nnf]) ).
cnf(c34,plain,
( ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
fof(f23,conjecture,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(B,relation_rng(C))
& in(A,relation_dom(C)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f23_neg,negated_conjecture,
~ ! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(B,relation_rng(C))
& in(A,relation_dom(C)) ) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f23_nnf,plain,
? [A,B,C] :
( ( ~ in(B,relation_rng(C))
| ~ in(A,relation_dom(C)) )
& in(ordered_pair(A,B),C)
& relation(C) ),
inference(nnf_transformation,[status(thm)],[f23_neg]) ).
fof(f23_sk,plain,
( ( ~ in(sk5,relation_rng(sk6))
| ~ in(sk4,relation_dom(sk6)) )
& in(ordered_pair(sk4,sk5),sk6)
& relation(sk6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6])],[f23_nnf]) ).
cnf(c24,plain,
relation(sk6),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p107,plain,
( ~ in(ordered_pair(X2,X1),sk6)
| in(X1,X0)
| X0 != relation_rng(sk6) ),
inference(resolution,[status(thm)],[c34,c24]) ).
cnf(p109,plain,
( ~ in(ordered_pair(X1,X0),sk6)
| in(X0,relation_rng(sk6)) ),
inference(equality_resolution,[status(thm)],[p107]) ).
cnf(c25,plain,
in(ordered_pair(sk4,sk5),sk6),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p110,plain,
in(sk5,relation_rng(sk6)),
inference(resolution,[status(thm)],[p109,c25]) ).
fof(f24,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f24_nnf,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(C,D),A)
& ~ in(C,B) )
| ( ! [D] : ~ in(ordered_pair(C,D),A)
& in(C,B) ) )
| B = relation_dom(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [A,B,C,D] :
( ( ( ( in(ordered_pair(sk8(A,B),sk9(A,B)),A)
& ~ in(sk8(A,B),B) )
| ( ~ in(ordered_pair(sk8(A,B),D),A)
& in(sk8(A,B),B) )
| B = relation_dom(A) )
& ( ( ( ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ( in(ordered_pair(C,sk7(A,B,C)),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8,sk9])],[f24_nnf]) ).
cnf(c28,plain,
( ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1)
| X1 != relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p68,plain,
( ~ in(ordered_pair(X1,X2),sk6)
| in(X1,X0)
| X0 != relation_dom(sk6) ),
inference(resolution,[status(thm)],[c28,c24]) ).
cnf(p70,plain,
( ~ in(ordered_pair(X0,X1),sk6)
| in(X0,relation_dom(sk6)) ),
inference(equality_resolution,[status(thm)],[p68]) ).
cnf(p71,plain,
in(sk4,relation_dom(sk6)),
inference(resolution,[status(thm)],[p70,c25]) ).
cnf(c26,plain,
( ~ in(sk5,relation_rng(sk6))
| ~ in(sk4,relation_dom(sk6)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p72,plain,
~ in(sk5,relation_rng(sk6)),
inference(resolution,[status(thm)],[p71,c26]) ).
cnf(p117,plain,
$false,
inference(resolution,[status(thm)],[p110,p72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU177+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 13:03:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.55/1.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.55/1.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------