%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU355+2 : 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 : n021.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 84.17s 10.96s
% Output : CNFRefutation 84.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 62 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 23 ~; 18 |; 3 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 2 sgn 16 !; 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(1849,plain,
( ~ relstr_element_smaller(sK537,empty_set,sK538)
| ~ relstr_set_smaller(sK537,empty_set,sK538) ),
inference(cnf,[status(esa)],[t6_yellow_0_negated]) ).
cnf(l0,plain,
( ~ relstr_element_smaller(sK537,empty_set,sK538)
| ~ relstr_set_smaller(sK537,empty_set,sK538) ),
inference(instantiation,[status(thm)],[1849]) ).
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(565,plain,
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| in(sK144(X0,X2,X1),X2)
| relstr_set_smaller(X0,X2,X1) ),
inference(cnf,[status(esa)],[d9_lattice3]) ).
cnf(l118,plain,
( ~ rel_str(sK537)
| ~ element(sK538,the_carrier(sK537))
| in(sK144(sK537,empty_set,sK538),empty_set)
| relstr_set_smaller(sK537,empty_set,sK538) ),
inference(instantiation,[status(thm)],[565]) ).
cnf(1847,plain,
rel_str(sK537),
inference(cnf,[status(esa)],[t6_yellow_0_negated]) ).
cnf(l121,plain,
rel_str(sK537),
inference(instantiation,[status(thm)],[1847]) ).
cnf(1848,plain,
element(sK538,the_carrier(sK537)),
inference(cnf,[status(esa)],[t6_yellow_0_negated]) ).
cnf(l119,plain,
element(sK538,the_carrier(sK537)),
inference(instantiation,[status(thm)],[1848]) ).
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(529,plain,
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| in(sK131(X0,X2,X1),X2)
| relstr_element_smaller(X0,X2,X1) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
cnf(l1,plain,
( ~ rel_str(sK537)
| ~ element(sK538,the_carrier(sK537))
| in(sK131(sK537,empty_set,sK538),empty_set)
| relstr_element_smaller(sK537,empty_set,sK538) ),
inference(instantiation,[status(thm)],[529]) ).
cnf(l76,plain,
rel_str(sK537),
inference(instantiation,[status(thm)],[1847]) ).
cnf(l2,plain,
element(sK538,the_carrier(sK537)),
inference(instantiation,[status(thm)],[1848]) ).
fof(t7_boole,plain,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(1858,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf,[status(esa)],[t7_boole]) ).
cnf(l122,plain,
( ~ in(sK144(sK537,empty_set,sK538),empty_set)
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[1858]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(697,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l132,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[697]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(290,plain,
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l9,plain,
( empty_set != empty_set
| ~ in(sK131(sK537,empty_set,sK538),empty_set) ),
inference(instantiation,[status(thm)],[290]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l118,l121,l119,l1,l76,l2,l122,l132,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU355+2 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 01:05:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.40 % launching worker at depth: 1
% 0.19/0.40 % launching worker at depth: 3
% 0.19/0.40 % launching worker at depth: 2
% 0.19/0.40 % launching worker at depth: 4
% 0.19/0.40 % launching worker at depth: 5
% 0.19/0.40 % launching worker at depth: 6
% 0.19/0.40 % launching worker at depth: 7
% 0.19/0.40 % launching worker at depth: 8
% 0.19/0.40 % launching worker at depth: 9
% 1.19/0.54 % launching worker at depth: 10
% 84.17/10.96 % SZS status Theorem for theBenchmark
% 84.17/10.96 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------