%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU373+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:45:19 PM UTC 2025
% Result : Theorem 5.82s 1.05s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 79 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 32 ~; 29 |; 3 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 26 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_yellow_6,plain,
! [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(t19_yellow_6_negated,plain,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
inference(negate_conjecture,[status(cth)],[t19_yellow_6]) ).
cnf(69,plain,
one_sorted_str(sK19),
inference(cnf,[status(esa)],[t19_yellow_6_negated]) ).
cnf(l0,plain,
one_sorted_str(sK19),
inference(instantiation,[status(thm)],[69]) ).
fof(dt_l1_waybel_0,plain,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
cnf(14,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf,[status(esa)],[dt_l1_waybel_0]) ).
cnf(l1,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| rel_str(sK20) ),
inference(instantiation,[status(thm)],[14]) ).
fof(d13_yellow_0,plain,
! [A] :
( rel_str(A)
=> ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_carrier(B),the_carrier(A))
& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_yellow_0) ).
cnf(5,plain,
( ~ rel_str(X0)
| ~ rel_str(X1)
| ~ subrelstr(X1,X0)
| subset(the_carrier(X1),the_carrier(X0)) ),
inference(cnf,[status(esa)],[d13_yellow_0]) ).
cnf(l123,plain,
( ~ rel_str(sK20)
| ~ rel_str(sK21)
| ~ subrelstr(sK21,sK20)
| subset(the_carrier(sK21),the_carrier(sK20)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(d8_yellow_6,plain,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).
cnf(8,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1) ),
inference(cnf,[status(esa)],[d8_yellow_6]) ).
cnf(l127,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| ~ net_str(sK21,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| subrelstr(sK21,sK20) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(71,plain,
subnetstr(sK21,sK19,sK20),
inference(cnf,[status(esa)],[t19_yellow_6_negated]) ).
cnf(l184,plain,
subnetstr(sK21,sK19,sK20),
inference(instantiation,[status(thm)],[71]) ).
cnf(70,plain,
net_str(sK20,sK19),
inference(cnf,[status(esa)],[t19_yellow_6_negated]) ).
cnf(l128,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[70]) ).
cnf(l125,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK21,sK19)
| rel_str(sK21) ),
inference(instantiation,[status(thm)],[14]) ).
fof(dt_m1_yellow_6,plain,
! [A,B] :
( ( one_sorted_str(A)
& net_str(B,A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
cnf(16,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
inference(cnf,[status(esa)],[dt_m1_yellow_6]) ).
cnf(l126,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| net_str(sK21,sK19) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(72,plain,
~ subset(the_carrier(sK21),the_carrier(sK20)),
inference(cnf,[status(esa)],[t19_yellow_6_negated]) ).
cnf(l288,plain,
~ subset(the_carrier(sK21),the_carrier(sK20)),
inference(instantiation,[status(thm)],[72]) ).
cnf(l304,plain,
subnetstr(sK21,sK19,sK20),
inference(instantiation,[status(thm)],[71]) ).
cnf(l172,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| net_str(sK21,sK19) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l2,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[70]) ).
cnf(l133,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[70]) ).
cnf(l206,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[70]) ).
cnf(l295,plain,
subnetstr(sK21,sK19,sK20),
inference(instantiation,[status(thm)],[71]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l123,l127,l184,l128,l125,l126,l288,l304,l172,l2,l133,l206,l295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU373+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n024.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Jul 22 01:12:49 EDT 2025
% 0.14/0.29 % CPUTime :
% 0.14/0.29 % launching worker at depth: 1
% 0.14/0.29 % launching worker at depth: 2
% 0.14/0.29 % launching worker at depth: 4
% 0.14/0.29 % launching worker at depth: 3
% 0.14/0.29 % launching worker at depth: 5
% 0.14/0.29 % launching worker at depth: 6
% 0.14/0.29 % launching worker at depth: 7
% 0.14/0.29 % launching worker at depth: 8
% 0.14/0.29 % launching worker at depth: 9
% 0.14/0.31 % launching worker at depth: 10
% 0.14/0.37 % launching worker at depth: 11
% 5.82/1.05 % SZS status Theorem for theBenchmark
% 5.82/1.05 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------