%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM383+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 12:28:03 PM UTC 2025
% Result : Theorem 0.13s 0.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 24 ~; 18 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_ordinal1,plain,
! [A,B] :
~ ( in(A,B)
& subset(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_ordinal1) ).
fof(t7_ordinal1_negated,plain,
~ ! [A,B] :
~ ( in(A,B)
& subset(B,A) ),
inference(negate_conjecture,[status(cth)],[t7_ordinal1]) ).
cnf(42,plain,
in(sK12,sK13),
inference(cnf,[status(esa)],[t7_ordinal1_negated]) ).
cnf(l0,plain,
in(sK12,sK13),
inference(instantiation,[status(thm)],[42]) ).
fof(t4_subset,plain,
! [A,B,C] :
( ( in(A,B)
& element(B,powerset(C)) )
=> element(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
cnf(38,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
inference(cnf,[status(esa)],[t4_subset]) ).
cnf(l1,plain,
( ~ in(sK12,sK13)
| ~ element(sK13,powerset(sK12))
| element(sK12,sK12) ),
inference(instantiation,[status(thm)],[38]) ).
fof(t2_subset,plain,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(35,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t2_subset]) ).
cnf(l141,plain,
( ~ element(sK12,sK12)
| empty(sK12)
| in(sK12,sK12) ),
inference(instantiation,[status(thm)],[35]) ).
fof(antisymmetry_r2_hidden,plain,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
cnf(0,plain,
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).
cnf(l142,plain,
( ~ in(sK12,sK12)
| ~ in(sK12,sK12) ),
inference(instantiation,[status(thm)],[0]) ).
fof(t5_subset,plain,
! [A,B,C] :
~ ( in(A,B)
& element(B,powerset(C))
& empty(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
cnf(39,plain,
( ~ empty(X0)
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(cnf,[status(esa)],[t5_subset]) ).
cnf(l143,plain,
( ~ empty(sK12)
| ~ in(sK12,sK13)
| ~ element(sK13,powerset(sK12)) ),
inference(instantiation,[status(thm)],[39]) ).
fof(t3_subset,plain,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
cnf(37,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[t3_subset]) ).
cnf(l2,plain,
( ~ subset(sK13,sK12)
| element(sK13,powerset(sK12)) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(43,plain,
subset(sK13,sK12),
inference(cnf,[status(esa)],[t7_ordinal1_negated]) ).
cnf(l3,plain,
subset(sK13,sK12),
inference(instantiation,[status(thm)],[43]) ).
cnf(l145,plain,
( ~ subset(sK13,sK12)
| element(sK13,powerset(sK12)) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(l148,plain,
subset(sK13,sK12),
inference(instantiation,[status(thm)],[43]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l141,l142,l143,l2,l3,l145,l148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM383+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Mon Jul 21 11:53:49 EDT 2025
% 0.13/0.29 % CPUTime :
% 0.13/0.29 % launching worker at depth: 1
% 0.13/0.29 % launching worker at depth: 6
% 0.13/0.29 % launching worker at depth: 4
% 0.13/0.29 % launching worker at depth: 3
% 0.13/0.29 % launching worker at depth: 2
% 0.13/0.29 % launching worker at depth: 5
% 0.13/0.29 % launching worker at depth: 7
% 0.13/0.29 % launching worker at depth: 8
% 0.13/0.30 % launching worker at depth: 9
% 0.13/0.30 % launching worker at depth: 10
% 0.13/0.31 % launching worker at depth: 11
% 0.13/0.38 % launching worker at depth: 12
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------