%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU169+2 : 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 : n020.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 03:44:43 PM UTC 2025
% Result : Theorem 150.61s 19.27s
% Output : CNFRefutation 150.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 70 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 29 ~; 22 |; 3 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 35 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l3_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> ! [C] :
( in(C,B)
=> in(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(l3_subset_1_negated,plain,
~ ! [A,B] :
( element(B,powerset(A))
=> ! [C] :
( in(C,B)
=> in(C,A) ) ),
inference(negate_conjecture,[status(cth)],[l3_subset_1]) ).
cnf(102,plain,
element(sK25,powerset(sK24)),
inference(cnf,[status(esa)],[l3_subset_1_negated]) ).
cnf(l0,plain,
element(sK25,powerset(sK24)),
inference(instantiation,[status(thm)],[102]) ).
fof(d2_subset_1,plain,
! [A,B] :
( ( ~ empty(A)
=> ( element(B,A)
<=> in(B,A) ) )
& ( empty(A)
=> ( element(B,A)
<=> empty(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
cnf(22,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
cnf(l1,plain,
( ~ element(sK25,powerset(sK24))
| in(sK25,powerset(sK24))
| empty(powerset(sK24)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(t8_boole,plain,
! [A,B] :
~ ( empty(A)
& A != B
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
cnf(180,plain,
( ~ empty(X0)
| ~ empty(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t8_boole]) ).
cnf(l3,plain,
( ~ empty(empty_set)
| ~ empty(powerset(sK24))
| empty_set = powerset(sK24) ),
inference(instantiation,[status(thm)],[180]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(87,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l15,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[87]) ).
fof(d1_zfmisc_1,plain,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(17,plain,
( X0 != powerset(X1)
| ~ subset(X2,X1)
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l5,plain,
( empty_set != powerset(sK24)
| ~ subset(empty_set,sK24)
| in(empty_set,empty_set) ),
inference(instantiation,[status(thm)],[17]) ).
fof(t2_xboole_1,plain,
! [A] : subset(empty_set,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(141,plain,
subset(empty_set,X0),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
cnf(l9,plain,
subset(empty_set,sK24),
inference(instantiation,[status(thm)],[141]) ).
fof(antisymmetry_r2_hidden,plain,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
cnf(0,plain,
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).
cnf(l11,plain,
( ~ in(empty_set,empty_set)
| ~ in(empty_set,empty_set) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(16,plain,
( X0 != powerset(X1)
| ~ in(X2,X0)
| subset(X2,X1) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l2,plain,
( powerset(sK24) != powerset(sK24)
| ~ in(sK25,powerset(sK24))
| subset(sK25,sK24) ),
inference(instantiation,[status(thm)],[16]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(52,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l24,plain,
( ~ in(sK26,sK25)
| ~ subset(sK25,sK24)
| in(sK26,sK24) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(103,plain,
in(sK26,sK25),
inference(cnf,[status(esa)],[l3_subset_1_negated]) ).
cnf(l30,plain,
in(sK26,sK25),
inference(instantiation,[status(thm)],[103]) ).
cnf(104,plain,
~ in(sK26,sK24),
inference(cnf,[status(esa)],[l3_subset_1_negated]) ).
cnf(l26,plain,
~ in(sK26,sK24),
inference(instantiation,[status(thm)],[104]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l15,l5,l9,l11,l2,l24,l30,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU169+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 : Mon Jul 21 23:42:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.43 % launching worker at depth: 10
% 150.61/19.27 % SZS status Theorem for theBenchmark
% 150.61/19.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------