%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW232+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:29 PM UTC 2026
% Result : Theorem 0.21s 6.24s
% Output : CNFRefutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 39 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 14 ~; 13 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 32 ( 27 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [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') ).
fof(f1253,hypothesis,
( ? [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') ).
fof(f1254,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1255,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1254]) ).
fof(f1259,plain,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f1261,plain,
! [V_a,V_d] :
( ? [B_r] :
! [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)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z)) )
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f1262,plain,
( ! [V_a,V_d] :
? [B_r] :
! [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)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z)) )
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(miniscoping,[status(thm)],[f1261]) ).
fof(f1263,plain,
( ! [V_a,V_d,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)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK1_skl(V_d,V_a),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z)) )
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B_r,sK1_skl(V_d,V_a))],[f1262]) ).
fof(f1264,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK1_skl(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f1263]) ).
fof(f4738,plain,
( v_thesis____
| ! [B_r] :
? [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)))
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1253]) ).
fof(f4739,plain,
( v_thesis____
| ! [B_r] :
( ~ 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____)),sK37_skl(B_r))))
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK37_skl(B_r))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37_skl]),skolemize(B_z,sK37_skl(B_r))],[f4738]) ).
fof(f4740,plain,
! [X0] :
( v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK37_skl(X0))) ),
inference(cnf_transformation,[status(thm)],[f4739]) ).
fof(f4741,plain,
! [X0] :
( v_thesis____
| ~ 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____)),sK37_skl(X0)))) ),
inference(cnf_transformation,[status(thm)],[f4739]) ).
fof(f4742,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f1255]) ).
fof(f4753,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK1_skl(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f1259]) ).
fof(f4972,plain,
! [X0] : ~ 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____)),sK37_skl(X0)))),
inference(backward_subsumption_resolution,[status(thm)],[f4741,f4742]) ).
fof(f4973,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK37_skl(X0))),
inference(backward_subsumption_resolution,[status(thm)],[f4740,f4742]) ).
fof(f4986,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),sK37_skl(sK1_skl(X0,X1))))),
inference(resolution,[status(thm)],[f4753,f4973]) ).
fof(f4988,plain,
$false,
inference(resolution,[status(thm)],[f4986,f4972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW232+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n014.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Mon Sep 21 09:42:25 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.21/5.59 % Drodi V4.1.1
% 0.21/6.24 % Refutation found
% 0.21/6.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/6.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.08/6.29 % Elapsed time: 0.843016 seconds
% 5.08/6.29 % CPU time: 5.388151 seconds
% 5.08/6.29 % Total memory used: 254.431 MB
% 5.08/6.29 % Net memory used: 252.255 MB
%------------------------------------------------------------------------------