%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM394+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 : n023.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 12:28:04 PM UTC 2025
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 77 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 29 |; 5 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_ordinal1,plain,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ( ordinal_subset(A,B)
| in(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_ordinal1) ).
fof(t26_ordinal1_negated,plain,
~ ! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ( ordinal_subset(A,B)
| in(B,A) ) ) ),
inference(negate_conjecture,[status(cth)],[t26_ordinal1]) ).
cnf(49,plain,
ordinal(sK14),
inference(cnf,[status(esa)],[t26_ordinal1_negated]) ).
cnf(l0,plain,
ordinal(sK14),
inference(instantiation,[status(thm)],[49]) ).
fof(t24_ordinal1,plain,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ~ ( ~ in(A,B)
& A != B
& ~ in(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
cnf(48,plain,
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1)
| in(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[t24_ordinal1]) ).
cnf(l1,plain,
( ~ ordinal(sK15)
| ~ ordinal(sK14)
| in(sK15,sK14)
| in(sK14,sK15)
| sK15 = sK14 ),
inference(instantiation,[status(thm)],[48]) ).
cnf(50,plain,
ordinal(sK15),
inference(cnf,[status(esa)],[t26_ordinal1_negated]) ).
cnf(l18,plain,
ordinal(sK15),
inference(instantiation,[status(thm)],[50]) ).
fof(d2_ordinal1,plain,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( in(B,A)
=> subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
cnf(8,plain,
( ~ in(X0,X1)
| ~ epsilon_transitive(X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
cnf(l2,plain,
( ~ in(sK14,sK15)
| ~ epsilon_transitive(sK15)
| subset(sK14,sK15) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(51,plain,
~ ordinal_subset(sK14,sK15),
inference(cnf,[status(esa)],[t26_ordinal1_negated]) ).
cnf(l52,plain,
~ ordinal_subset(sK14,sK15),
inference(instantiation,[status(thm)],[51]) ).
fof(redefinition_r1_ordinal1,plain,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
<=> subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
cnf(44,plain,
( ~ ordinal(X0)
| ~ ordinal(X1)
| ~ subset(X0,X1)
| ordinal_subset(X0,X1) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
cnf(l63,plain,
( ~ ordinal(sK14)
| ~ ordinal(sK15)
| ~ subset(sK14,sK15)
| ordinal_subset(sK14,sK15) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l65,plain,
~ ordinal_subset(sK14,sK15),
inference(instantiation,[status(thm)],[51]) ).
fof(connectedness_r1_ordinal1,plain,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
| ordinal_subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
cnf(7,plain,
( ~ ordinal(X0)
| ~ ordinal(X1)
| ordinal_subset(X0,X1)
| ordinal_subset(X1,X0) ),
inference(cnf,[status(esa)],[connectedness_r1_ordinal1]) ).
cnf(l45,plain,
( ~ ordinal(sK14)
| ~ ordinal(sK15)
| ordinal_subset(sK14,sK15)
| ordinal_subset(sK15,sK14) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(52,plain,
~ in(sK15,sK14),
inference(cnf,[status(esa)],[t26_ordinal1_negated]) ).
cnf(l6,plain,
~ in(sK15,sK14),
inference(instantiation,[status(thm)],[52]) ).
cnf(l61,plain,
ordinal(sK15),
inference(instantiation,[status(thm)],[50]) ).
fof(cc1_ordinal1,plain,
! [A] :
( ordinal(A)
=> ( epsilon_transitive(A)
& epsilon_connected(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
cnf(2,plain,
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
cnf(l4,plain,
( ~ ordinal(sK15)
| epsilon_transitive(sK15) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l50,plain,
~ ordinal_subset(sK14,sK15),
inference(instantiation,[status(thm)],[51]) ).
cnf(l64,plain,
ordinal(sK15),
inference(instantiation,[status(thm)],[50]) ).
cnf(l7,plain,
ordinal(sK15),
inference(instantiation,[status(thm)],[50]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l2,l52,l63,l65,l45,l6,l61,l4,l50,l64,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM394+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.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 : Mon Jul 21 11:54:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.41 % launching worker at depth: 11
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------