%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU361+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 03:45:17 PM UTC 2025
% Result : Theorem 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 19 unt; 0 def)
% Number of atoms : 100 ( 7 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 100 ( 36 ~; 30 |; 17 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_yellow_0,plain,
! [A] :
( ( ~ empty_carrier(A)
& antisymmetric_relstr(A)
& lower_bounded_relstr(A)
& rel_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> related(A,bottom_of_relstr(A),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(t44_yellow_0_negated,plain,
~ ! [A] :
( ( ~ empty_carrier(A)
& antisymmetric_relstr(A)
& lower_bounded_relstr(A)
& rel_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> related(A,bottom_of_relstr(A),B) ) ),
inference(negate_conjecture,[status(cth)],[t44_yellow_0]) ).
cnf(28,plain,
~ empty_carrier(sK9),
inference(cnf,[status(esa)],[t44_yellow_0_negated]) ).
cnf(l0,plain,
~ empty_carrier(sK9),
inference(instantiation,[status(thm)],[28]) ).
fof(t42_yellow_0,plain,
! [A] :
( ( ~ empty_carrier(A)
& antisymmetric_relstr(A)
& lower_bounded_relstr(A)
& rel_str(A) )
=> ( ex_sup_of_relstr_set(A,empty_set)
& ex_inf_of_relstr_set(A,the_carrier(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
cnf(26,plain,
( ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0)
| ex_sup_of_relstr_set(X0,empty_set) ),
inference(cnf,[status(esa)],[t42_yellow_0]) ).
cnf(l1,plain,
( ~ rel_str(sK9)
| ~ lower_bounded_relstr(sK9)
| ~ antisymmetric_relstr(sK9)
| empty_carrier(sK9)
| ex_sup_of_relstr_set(sK9,empty_set) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(30,plain,
lower_bounded_relstr(sK9),
inference(cnf,[status(esa)],[t44_yellow_0_negated]) ).
cnf(l3,plain,
lower_bounded_relstr(sK9),
inference(instantiation,[status(thm)],[30]) ).
cnf(29,plain,
antisymmetric_relstr(sK9),
inference(cnf,[status(esa)],[t44_yellow_0_negated]) ).
cnf(l7,plain,
antisymmetric_relstr(sK9),
inference(instantiation,[status(thm)],[29]) ).
cnf(31,plain,
rel_str(sK9),
inference(cnf,[status(esa)],[t44_yellow_0_negated]) ).
cnf(l2,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[31]) ).
fof(t30_yellow_0,plain,
! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( ( ( B = join_on_relstr(A,C)
& ex_sup_of_relstr_set(A,C) )
=> ( relstr_set_smaller(A,C,B)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,C,D)
=> related(A,B,D) ) ) ) )
& ( ( relstr_set_smaller(A,C,B)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,C,D)
=> related(A,B,D) ) ) )
=> ( B = join_on_relstr(A,C)
& ex_sup_of_relstr_set(A,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).
cnf(20,plain,
( ~ rel_str(X0)
| X1 != join_on_relstr(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X3)
| ~ antisymmetric_relstr(X0)
| ~ ex_sup_of_relstr_set(X0,X2)
| related(X0,X1,X3) ),
inference(cnf,[status(esa)],[t30_yellow_0]) ).
cnf(l4,plain,
( ~ rel_str(sK9)
| bottom_of_relstr(sK9) != join_on_relstr(sK9,empty_set)
| ~ element(bottom_of_relstr(sK9),the_carrier(sK9))
| ~ element(sK10,the_carrier(sK9))
| ~ relstr_set_smaller(sK9,empty_set,sK10)
| ~ antisymmetric_relstr(sK9)
| ~ ex_sup_of_relstr_set(sK9,empty_set)
| related(sK9,bottom_of_relstr(sK9),sK10) ),
inference(instantiation,[status(thm)],[20]) ).
fof(d11_yellow_0,plain,
! [A] :
( rel_str(A)
=> bottom_of_relstr(A) = join_on_relstr(A,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).
cnf(2,plain,
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf,[status(esa)],[d11_yellow_0]) ).
cnf(l8,plain,
( ~ rel_str(sK9)
| bottom_of_relstr(sK9) = join_on_relstr(sK9,empty_set) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l12,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[31]) ).
cnf(l10,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[31]) ).
fof(t6_yellow_0,plain,
! [A] :
( rel_str(A)
=> ! [B] :
( element(B,the_carrier(A))
=> ( relstr_set_smaller(A,empty_set,B)
& relstr_element_smaller(A,empty_set,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
cnf(35,plain,
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,empty_set,X1) ),
inference(cnf,[status(esa)],[t6_yellow_0]) ).
cnf(l45,plain,
( ~ rel_str(sK9)
| ~ element(sK10,the_carrier(sK9))
| relstr_set_smaller(sK9,empty_set,sK10) ),
inference(instantiation,[status(thm)],[35]) ).
fof(dt_k3_yellow_0,plain,
! [A] :
( rel_str(A)
=> element(bottom_of_relstr(A),the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
cnf(4,plain,
( ~ rel_str(X0)
| element(bottom_of_relstr(X0),the_carrier(X0)) ),
inference(cnf,[status(esa)],[dt_k3_yellow_0]) ).
cnf(l18,plain,
( ~ rel_str(sK9)
| element(bottom_of_relstr(sK9),the_carrier(sK9)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(33,plain,
~ related(sK9,bottom_of_relstr(sK9),sK10),
inference(cnf,[status(esa)],[t44_yellow_0_negated]) ).
cnf(l50,plain,
~ related(sK9,bottom_of_relstr(sK9),sK10),
inference(instantiation,[status(thm)],[33]) ).
cnf(32,plain,
element(sK10,the_carrier(sK9)),
inference(cnf,[status(esa)],[t44_yellow_0_negated]) ).
cnf(l46,plain,
element(sK10,the_carrier(sK9)),
inference(instantiation,[status(thm)],[32]) ).
cnf(l47,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[31]) ).
cnf(l22,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[31]) ).
cnf(l15,plain,
element(sK10,the_carrier(sK9)),
inference(instantiation,[status(thm)],[32]) ).
cnf(l16,plain,
antisymmetric_relstr(sK9),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l2,l4,l8,l12,l10,l45,l18,l50,l46,l47,l22,l15,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU361+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 01:07:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.33 % launching worker at depth: 3
% 0.18/0.33 % launching worker at depth: 1
% 0.18/0.33 % launching worker at depth: 5
% 0.18/0.33 % launching worker at depth: 4
% 0.18/0.33 % launching worker at depth: 6
% 0.18/0.33 % launching worker at depth: 2
% 0.18/0.33 % launching worker at depth: 7
% 0.18/0.33 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.34 % launching worker at depth: 10
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------