%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM405+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 : n026.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 12:28:05 PM UTC 2025
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 18 ~; 15 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 1 sgn 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t38_ordinal1,plain,
! [A] :
~ ! [B] :
( ordinal(B)
=> in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_ordinal1) ).
fof(t38_ordinal1_negated,plain,
~ ! [A] :
~ ! [B] :
( ordinal(B)
=> in(B,A) ),
inference(negate_conjecture,[status(cth)],[t38_ordinal1]) ).
cnf(68,plain,
( ~ ordinal(X0)
| in(X0,sK17) ),
inference(cnf,[status(esa)],[t38_ordinal1_negated]) ).
cnf(l0,plain,
( ~ ordinal(sK16(sK15(sK17)))
| in(sK16(sK15(sK17)),sK17) ),
inference(instantiation,[status(thm)],[68]) ).
fof(t37_ordinal1,plain,
! [A] :
~ ! [B] :
( in(B,A)
<=> ordinal(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).
cnf(66,plain,
( in(sK16(X0),X0)
| ordinal(sK16(X0)) ),
inference(cnf,[status(esa)],[t37_ordinal1]) ).
cnf(l1,plain,
( in(sK16(sK15(sK17)),sK15(sK17))
| ordinal(sK16(sK15(sK17))) ),
inference(instantiation,[status(thm)],[66]) ).
fof(s1_xboole_0__e2_43__ordinal1,plain,
! [A] :
? [B] :
! [C] :
( in(C,B)
<=> ( in(C,A)
& ordinal(C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_43__ordinal1) ).
cnf(63,plain,
( ~ in(X0,X1)
| ~ ordinal(X0)
| in(X0,sK15(X1)) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_43__ordinal1]) ).
cnf(l2,plain,
( ~ in(sK16(sK15(sK17)),sK17)
| ~ ordinal(sK16(sK15(sK17)))
| in(sK16(sK15(sK17)),sK15(sK17)) ),
inference(instantiation,[status(thm)],[63]) ).
cnf(l3,plain,
( in(sK16(sK15(sK17)),sK15(sK17))
| ordinal(sK16(sK15(sK17))) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(62,plain,
( ~ in(X0,sK15(X1))
| ordinal(X0) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_43__ordinal1]) ).
cnf(l4,plain,
( ~ in(sK16(sK15(sK17)),sK15(sK17))
| ordinal(sK16(sK15(sK17))) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l22,plain,
( ~ in(sK16(sK15(sK17)),sK15(sK17))
| ordinal(sK16(sK15(sK17))) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(67,plain,
( ~ in(sK16(X0),X0)
| ~ ordinal(sK16(X0)) ),
inference(cnf,[status(esa)],[t37_ordinal1]) ).
cnf(l7,plain,
( ~ in(sK16(sK15(sK17)),sK15(sK17))
| ~ ordinal(sK16(sK15(sK17))) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l9,plain,
( ~ in(sK16(sK15(sK17)),sK15(sK17))
| ordinal(sK16(sK15(sK17))) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l22,l7,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM405+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 11:56:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------