%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU373+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 : 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 02:51:53 PM UTC 2026
% Result : Theorem 12.77s 2.38s
% Output : Proof 12.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 129 ( 5 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 152 ( 61 ~; 57 |; 17 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 57 ( 0 sgn 36 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [A,B] :
( ( net_str(B,A)
& one_sorted_str(A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f18_nnf,plain,
! [A,B] :
( ! [C] :
( net_str(C,A)
| ~ subnetstr(C,A,B) )
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [A,B,C] :
( net_str(C,A)
| ~ subnetstr(C,A,B)
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c24,plain,
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
fof(f50,conjecture,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_yellow_6) ).
fof(f50_neg,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f50_nnf,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ subset(the_carrier(C),the_carrier(B))
& subnetstr(C,A,B) )
& net_str(B,A) )
& one_sorted_str(A) ),
inference(nnf_transformation,[status(thm)],[f50_neg]) ).
fof(f50_sk,plain,
( ~ subset(the_carrier(sk20),the_carrier(sk19))
& subnetstr(sk20,sk18,sk19)
& net_str(sk19,sk18)
& one_sorted_str(sk18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk18,sk19,sk20])],[f50_nnf]) ).
cnf(c78,plain,
one_sorted_str(sk18),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p173,plain,
( net_str(X1,sk18)
| ~ subnetstr(X1,sk18,X0)
| ~ net_str(X0,sk18) ),
inference(resolution,[status(thm)],[c24,c78]) ).
cnf(c79,plain,
net_str(sk19,sk18),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p177,plain,
( net_str(X0,sk18)
| ~ subnetstr(X0,sk18,sk19) ),
inference(resolution,[status(thm)],[p173,c79]) ).
cnf(c80,plain,
subnetstr(sk20,sk18,sk19),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p178,plain,
net_str(sk20,sk18),
inference(resolution,[status(thm)],[p177,c80]) ).
fof(f14,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f14_nnf,plain,
! [A] :
( ! [B] :
( rel_str(B)
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,B] :
( rel_str(B)
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c20,plain,
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p157,plain,
( rel_str(X0)
| ~ net_str(X0,sk18) ),
inference(resolution,[status(thm)],[c20,c78]) ).
cnf(p187,plain,
rel_str(sk20),
inference(resolution,[status(thm)],[p178,p157]) ).
cnf(p160,plain,
rel_str(sk19),
inference(resolution,[status(thm)],[p157,c79]) ).
fof(f5,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f5_nnf,plain,
! [A] :
( ! [B] :
( ( ( ~ subset(the_InternalRel(B),the_InternalRel(A))
| ~ subset(the_carrier(B),the_carrier(A))
| subrelstr(B,A) )
& ( ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) )
| ~ subrelstr(B,A) ) )
| ~ rel_str(B) )
| ~ rel_str(A) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A,B] :
( ( ( ~ subset(the_InternalRel(B),the_InternalRel(A))
| ~ subset(the_carrier(B),the_carrier(A))
| subrelstr(B,A) )
& ( ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) )
| ~ subrelstr(B,A) ) )
| ~ rel_str(B)
| ~ rel_str(A) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c7,plain,
( subset(the_carrier(X1),the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p161,plain,
( subset(the_carrier(X0),the_carrier(sk19))
| ~ subrelstr(X0,sk19)
| ~ rel_str(X0) ),
inference(resolution,[status(thm)],[p160,c7]) ).
cnf(p194,plain,
( subset(the_carrier(sk20),the_carrier(sk19))
| ~ subrelstr(sk20,sk19) ),
inference(resolution,[status(thm)],[p187,p161]) ).
fof(f6,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f6_nnf,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( the_mapping(A,C) != relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
| ~ subrelstr(C,B)
| subnetstr(C,A,B) )
& ( ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) )
| ~ subnetstr(C,A,B) ) )
| ~ net_str(C,A) )
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B,C] :
( ( ( the_mapping(A,C) != relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
| ~ subrelstr(C,B)
| subnetstr(C,A,B) )
& ( ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) )
| ~ subnetstr(C,A,B) ) )
| ~ net_str(C,A)
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c10,plain,
( subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p108,plain,
( subrelstr(X1,X0)
| ~ subnetstr(X1,sk18,X0)
| ~ net_str(X1,sk18)
| ~ net_str(X0,sk18) ),
inference(resolution,[status(thm)],[c10,c78]) ).
cnf(p111,plain,
( subrelstr(X0,sk19)
| ~ subnetstr(X0,sk18,sk19)
| ~ net_str(X0,sk18) ),
inference(resolution,[status(thm)],[p108,c79]) ).
cnf(p181,plain,
( subrelstr(sk20,sk19)
| ~ subnetstr(sk20,sk18,sk19) ),
inference(resolution,[status(thm)],[p178,p111]) ).
cnf(p206,plain,
subrelstr(sk20,sk19),
inference(resolution,[status(thm)],[p181,c80]) ).
cnf(p219,plain,
subset(the_carrier(sk20),the_carrier(sk19)),
inference(resolution,[status(thm)],[p194,p206]) ).
cnf(c81,plain,
~ subset(the_carrier(sk20),the_carrier(sk19)),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p225,plain,
$false,
inference(resolution,[status(thm)],[p219,c81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.40 % Computer : n004.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Thu Sep 24 13:53:20 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.77/2.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.77/2.38 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------