%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ITP019+2 : TPTP v9.0.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 : Thu Jul 24 06:46:30 PM UTC 2025
% Result : Theorem 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 22 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 4 |; 0 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,plain,
! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ_negated,plain,
~ ! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negate_conjecture,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
cnf(41,plain,
mem(sK4,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ_negated]) ).
cnf(l0,plain,
mem(sK4,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(instantiation,[status(thm)],[41]) ).
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,plain,
! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
cnf(39,plain,
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X0 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(cnf,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).
cnf(l1,plain,
( ~ mem(sK4,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,sK4) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| sK4 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(43,plain,
ap(c_2Ecomplex_2Ecomplex__inv,sK4) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(cnf,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ_negated]) ).
cnf(l4,plain,
ap(c_2Ecomplex_2Ecomplex__inv,sK4) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(instantiation,[status(thm)],[43]) ).
cnf(42,plain,
sK4 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(cnf,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ_negated]) ).
cnf(l6,plain,
sK4 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(instantiation,[status(thm)],[42]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP019+2 : TPTP v9.0.0. Bugfixed v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 : Sun Jul 20 19:54:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------