%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU355+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 : n031.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 03:45:16 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 20 ~; 17 |; 3 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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) ).
fof(t6_yellow_0_negated,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) ) ) ),
inference(negate_conjecture,[status(cth)],[t6_yellow_0]) ).
cnf(24,plain,
( ~ relstr_element_smaller(sK9,empty_set,sK10)
| ~ relstr_set_smaller(sK9,empty_set,sK10) ),
inference(cnf,[status(esa)],[t6_yellow_0_negated]) ).
cnf(l0,plain,
( ~ relstr_element_smaller(sK9,empty_set,sK10)
| ~ relstr_set_smaller(sK9,empty_set,sK10) ),
inference(instantiation,[status(thm)],[24]) ).
fof(d9_lattice3,plain,
! [A] :
( rel_str(A)
=> ! [B,C] :
( element(C,the_carrier(A))
=> ( relstr_set_smaller(A,B,C)
<=> ! [D] :
( element(D,the_carrier(A))
=> ( in(D,B)
=> related(A,D,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).
cnf(8,plain,
( ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| in(sK2(X1,X2,X0),X2)
| relstr_set_smaller(X1,X2,X0) ),
inference(cnf,[status(esa)],[d9_lattice3]) ).
cnf(l46,plain,
( ~ element(sK10,the_carrier(sK9))
| ~ rel_str(sK9)
| in(sK2(sK9,empty_set,sK10),empty_set)
| relstr_set_smaller(sK9,empty_set,sK10) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(23,plain,
element(sK10,the_carrier(sK9)),
inference(cnf,[status(esa)],[t6_yellow_0_negated]) ).
cnf(l47,plain,
element(sK10,the_carrier(sK9)),
inference(instantiation,[status(thm)],[23]) ).
fof(d8_lattice3,plain,
! [A] :
( rel_str(A)
=> ! [B,C] :
( element(C,the_carrier(A))
=> ( relstr_element_smaller(A,B,C)
<=> ! [D] :
( element(D,the_carrier(A))
=> ( in(D,B)
=> related(A,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
cnf(4,plain,
( ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| in(sK1(X1,X2,X0),X2)
| relstr_element_smaller(X1,X2,X0) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
cnf(l1,plain,
( ~ element(sK10,the_carrier(sK9))
| ~ rel_str(sK9)
| in(sK1(sK9,empty_set,sK10),empty_set)
| relstr_element_smaller(sK9,empty_set,sK10) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l2,plain,
element(sK10,the_carrier(sK9)),
inference(instantiation,[status(thm)],[23]) ).
cnf(22,plain,
rel_str(sK9),
inference(cnf,[status(esa)],[t6_yellow_0_negated]) ).
cnf(l26,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[22]) ).
cnf(l48,plain,
rel_str(sK9),
inference(instantiation,[status(thm)],[22]) ).
fof(t7_boole,plain,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(25,plain,
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[t7_boole]) ).
cnf(l50,plain,
( ~ empty(empty_set)
| ~ in(sK2(sK9,empty_set,sK10),empty_set) ),
inference(instantiation,[status(thm)],[25]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(14,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l53,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[14]) ).
cnf(l3,plain,
( ~ empty(empty_set)
| ~ in(sK1(sK9,empty_set,sK10),empty_set) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l5,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l46,l47,l1,l2,l26,l48,l50,l53,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU355+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 01:04:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------