%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW210+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 : n019.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 03:07:26 PM UTC 2026
% Result : Theorem 35.95s 5.02s
% Output : CNFRefutation 35.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 6 unt; 5 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 44 ~; 41 |; 9 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 53 ( 43 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
? [B_n0] :
! [B_n] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
? [B_n0] :
! [B_n] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1201,hypothesis,
( ? [B_N1] :
! [B_n] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
=> ( ? [B_N2] :
! [B_n] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,B_n)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
=> v_thesis____ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1202,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1203,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1202]) ).
fof(f1210,plain,
? [B_n0] :
! [B_n] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f1211,plain,
! [B_n] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK1_skl,B_n) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B_n0,sK1_skl)],[f1210]) ).
fof(f1212,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK1_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f1211]) ).
fof(f1213,plain,
? [B_n0] :
! [B_n] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f1214,plain,
! [B_n] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK2_skl,B_n) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(B_n0,sK2_skl)],[f1213]) ).
fof(f1215,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f1214]) ).
fof(f4614,plain,
( v_thesis____
| ! [B_N2] :
? [B_n] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,B_n) )
| ! [B_N1] :
? [B_n] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1201]) ).
fof(f4615,definition,
! [B_N1,B_n] :
( sP15_prd(B_n,B_N1)
<=> ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f4616,plain,
( v_thesis____
| ! [B_N2] :
? [B_n] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,B_n) )
| ! [B_N1] :
? [B_n] : sP15_prd(B_n,B_N1) ),
inference(formula_renaming,[status(thm)],[f4614,f4615]) ).
fof(f4617,plain,
( v_thesis____
| ! [B_N2] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK16_skl(B_N2))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,sK16_skl(B_N2)) )
| ! [B_N1] : sP15_prd(sK15_skl(B_N1),B_N1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(B_n,sK15_skl(B_N1)),skolemize(B_n,sK16_skl(B_N2))],[f4616]) ).
fof(f4618,plain,
! [X0,X1] :
( v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sK16_skl(X1))
| sP15_prd(sK15_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f4617]) ).
fof(f4619,plain,
! [X0,X1] :
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK16_skl(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| sP15_prd(sK15_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f4617]) ).
fof(f4620,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f1203]) ).
fof(f4732,plain,
! [B_N1,B_n] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)
| sP15_prd(B_n,B_N1) )
& ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n) )
| ~ sP15_prd(B_n,B_N1) ) ),
inference(NNF_transformation,[status(thm)],[f4615]) ).
fof(f4733,plain,
( ! [B_N1,B_n] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)
| sP15_prd(B_n,B_N1) )
& ! [B_N1,B_n] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n) )
| ~ sP15_prd(B_n,B_N1) ) ),
inference(miniscoping,[status(thm)],[f4732]) ).
fof(f4734,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| ~ sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4733]) ).
fof(f4735,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4733]) ).
fof(f4737,definition,
! [X0] :
( sQ0_spl
<=> sP15_prd(sK15_skl(X0),X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f4738,plain,
! [X0] :
( ~ sQ0_spl
| sP15_prd(sK15_skl(X0),X0) ),
inference(component_clause,[status(thm)],[f4737]) ).
fof(f4740,definition,
! [X1] :
( sQ1_spl
<=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sK16_skl(X1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f4741,plain,
! [X0] :
( ~ sQ1_spl
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK16_skl(X0)) ),
inference(component_clause,[status(thm)],[f4740]) ).
fof(f4743,definition,
( sQ2_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f4744,plain,
( ~ sQ2_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f4743]) ).
fof(f4746,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4618,f4737,f4740,f4743]) ).
fof(f4747,definition,
! [X1] :
( sQ3_spl
<=> ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK16_skl(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ3_spl
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK16_skl(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(component_clause,[status(thm)],[f4747]) ).
fof(f4750,plain,
( sQ2_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4619,f4737,f4747,f4743]) ).
fof(f4890,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4744,f4620]) ).
fof(f4891,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f4890]) ).
fof(f6504,plain,
! [X0] :
( ~ sQ0_spl
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK15_skl(X0)) ),
inference(resolution,[status(thm)],[f4734,f4738]) ).
fof(f20769,plain,
! [X0,X1] :
( ~ sP15_prd(X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f1212,f4735]) ).
fof(f20805,plain,
! [X0] :
( ~ sQ3_spl
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK2_skl,sK16_skl(X0)) ),
inference(resolution,[status(thm)],[f4748,f1215]) ).
fof(f21233,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(resolution,[status(thm)],[f20805,f4741]) ).
fof(f21242,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f21233]) ).
fof(f27478,plain,
! [X0] :
( ~ sQ0_spl
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK1_skl,sK15_skl(X0)) ),
inference(resolution,[status(thm)],[f20769,f4738]) ).
fof(f27479,plain,
( ~ sQ0_spl
| $false ),
inference(resolution,[status(thm)],[f27478,f6504]) ).
fof(f27486,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f27479]) ).
fof(f27487,plain,
$false,
inference(sat_refutation,[status(thm)],[f4746,f4750,f4891,f21242,f27486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW210+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:41:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.21/0.47 % Drodi V4.1.1
% 35.95/5.02 % Refutation found
% 35.95/5.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 35.95/5.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.68/5.15 % Elapsed time: 4.770493 seconds
% 3.68/5.15 % CPU time: 36.707651 seconds
% 3.68/5.15 % Total memory used: 502.157 MB
% 3.68/5.15 % Net memory used: 477.073 MB
%------------------------------------------------------------------------------