%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM387+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 : n018.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 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14_ordinal1,plain,
! [A] : A != succ(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_ordinal1) ).
fof(t14_ordinal1_negated,plain,
~ ! [A] : A != succ(A),
inference(negate_conjecture,[status(cth)],[t14_ordinal1]) ).
cnf(41,plain,
sK12 = succ(sK12),
inference(cnf,[status(esa)],[t14_ordinal1_negated]) ).
cnf(l0,plain,
sK12 = succ(sK12),
inference(instantiation,[status(thm)],[41]) ).
fof(t10_ordinal1,plain,
! [A] : in(A,succ(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
cnf(40,plain,
in(X0,succ(X0)),
inference(cnf,[status(esa)],[t10_ordinal1]) ).
cnf(l2,plain,
in(sK12,succ(sK12)),
inference(instantiation,[status(thm)],[40]) ).
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(l4,plain,
( ~ in(succ(sK12),succ(sK12))
| ~ in(succ(sK12),succ(sK12)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM387+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 11:54:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------