%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW232+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 05:04:03 PM UTC 2025
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,plain,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_1_negated,plain,
~ v_thesis____,
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(1635,plain,
~ v_thesis____,
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l0,plain,
~ v_thesis____,
inference(instantiation,[status(thm)],[1635]) ).
fof(conj_0,plain,
( ? [B_r] :
! [B_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),B_z))) )
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1634,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK49(X0))))
| v_thesis____ ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l1,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK49(sK2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))))))
| v_thesis____ ),
inference(instantiation,[status(thm)],[1634]) ).
fof(fact_pCons_Ohyps,plain,
! [V_a,V_d] :
( v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
=> ? [B_r] :
! [B_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pCons_Ohyps) ).
cnf(3,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK2(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,v_cs____)),X2))) ),
inference(cnf,[status(esa)],[fact_pCons_Ohyps]) ).
cnf(l2,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK49(sK2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))))))
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK49(sK2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))))))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1633,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK49(X0)))
| v_thesis____ ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l5,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK49(sK2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))))))
| v_thesis____ ),
inference(instantiation,[status(thm)],[1633]) ).
fof(fact_H,plain,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H) ).
cnf(1,plain,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf,[status(esa)],[fact_H]) ).
cnf(l4,plain,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SWW232+1 : TPTP v9.0.0. Released v5.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 : Tue Jul 22 13:03:34 EDT 2025
% 0.20/0.33 % CPUTime :
% 0.20/0.40 % launching worker at depth: 5
% 0.20/0.40 % launching worker at depth: 6
% 0.20/0.40 % launching worker at depth: 4
% 0.20/0.40 % launching worker at depth: 1
% 0.20/0.40 % launching worker at depth: 8
% 0.20/0.40 % launching worker at depth: 2
% 0.20/0.40 % launching worker at depth: 7
% 0.20/0.40 % launching worker at depth: 3
% 0.20/0.40 % launching worker at depth: 9
% 0.20/0.41 % launching worker at depth: 10
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------