%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEV631+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:33:06 PM UTC 2026
% Result : Theorem 0.37s 0.72s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 2 def)
% Number of atoms : 72 ( 35 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 64 ( 14 ~; 11 |; 22 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 50 ( 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,axiom,
! [Vvar__0__l__46672,Vvar__0__l__46673,Vvar__1__ls__46674,Vvar__1__ls__46675,Vvar__2___24Anonymous__46676,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46678,Vvar__3___24Anonymous__46679] :
( cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46672,Vvar__1__ls__46674,Vvar__2___24Anonymous__46676,Vvar__3___24Anonymous__46678) = cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46673,Vvar__1__ls__46675,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46679)
=> ( Vvar__0__l__46672 = Vvar__0__l__46673
& Vvar__1__ls__46674 = Vvar__1__ls__46675
& Vvar__2___24Anonymous__46676 = Vvar__2___24Anonymous__46677
& Vvar__3___24Anonymous__46678 = Vvar__3___24Anonymous__46679 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3118,conjecture,
! [V0__l] :
( ciT___24t(V0__l)
=> ! [V1__ls] :
( cCoq_2eInit_2eDatatypes_2elist___24t(ciT,V1__ls)
=> ! [V2__a] :
( cF___24t(V0__l,V2__a)
=> ! [V3__b] :
( cHList_2ehlist_2ehlist___24t(V1__ls,V3__b)
=> ! [V4__c] :
( cF___24t(V0__l,V4__c)
=> ! [V5__d] :
( cHList_2ehlist_2ehlist___24t(V1__ls,V5__d)
=> ( cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V2__a,V3__b) = cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V4__c,V5__d)
=> ( V3__b = V5__d
& V2__a = V4__c ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3119,negated_conjecture,
~ ! [V0__l] :
( ciT___24t(V0__l)
=> ! [V1__ls] :
( cCoq_2eInit_2eDatatypes_2elist___24t(ciT,V1__ls)
=> ! [V2__a] :
( cF___24t(V0__l,V2__a)
=> ! [V3__b] :
( cHList_2ehlist_2ehlist___24t(V1__ls,V3__b)
=> ! [V4__c] :
( cF___24t(V0__l,V4__c)
=> ! [V5__d] :
( cHList_2ehlist_2ehlist___24t(V1__ls,V5__d)
=> ( cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V2__a,V3__b) = cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V4__c,V5__d)
=> ( V3__b = V5__d
& V2__a = V4__c ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3118]) ).
fof(f5619,plain,
! [Vvar__0__l__46672,Vvar__0__l__46673,Vvar__1__ls__46674,Vvar__1__ls__46675,Vvar__2___24Anonymous__46676,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46678,Vvar__3___24Anonymous__46679] :
( ( Vvar__0__l__46672 = Vvar__0__l__46673
& Vvar__1__ls__46674 = Vvar__1__ls__46675
& Vvar__2___24Anonymous__46676 = Vvar__2___24Anonymous__46677
& Vvar__3___24Anonymous__46678 = Vvar__3___24Anonymous__46679 )
| cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46672,Vvar__1__ls__46674,Vvar__2___24Anonymous__46676,Vvar__3___24Anonymous__46678) != cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46673,Vvar__1__ls__46675,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46679) ),
inference(pre_NNF_transformation,[status(thm)],[f431]) ).
fof(f5620,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X3 = X7
| cHList_2ehlist_2eHcons___24a4(X0,X1,X2,X3) != cHList_2ehlist_2eHcons___24a4(X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f5619]) ).
fof(f5621,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X2 = X6
| cHList_2ehlist_2eHcons___24a4(X0,X1,X2,X3) != cHList_2ehlist_2eHcons___24a4(X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f5619]) ).
fof(f15346,plain,
? [V0__l] :
( ? [V1__ls] :
( ? [V2__a] :
( ? [V3__b] :
( ? [V4__c] :
( ? [V5__d] :
( ( V3__b != V5__d
| V2__a != V4__c )
& cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V2__a,V3__b) = cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V4__c,V5__d)
& cHList_2ehlist_2ehlist___24t(V1__ls,V5__d) )
& cF___24t(V0__l,V4__c) )
& cHList_2ehlist_2ehlist___24t(V1__ls,V3__b) )
& cF___24t(V0__l,V2__a) )
& cCoq_2eInit_2eDatatypes_2elist___24t(ciT,V1__ls) )
& ciT___24t(V0__l) ),
inference(pre_NNF_transformation,[status(thm)],[f3119]) ).
fof(f15347,plain,
( ( sK1908_skl != sK1910_skl
| sK1907_skl != sK1909_skl )
& cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1907_skl,sK1908_skl) = cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1909_skl,sK1910_skl)
& cHList_2ehlist_2ehlist___24t(sK1906_skl,sK1910_skl)
& cF___24t(sK1905_skl,sK1909_skl)
& cHList_2ehlist_2ehlist___24t(sK1906_skl,sK1908_skl)
& cF___24t(sK1905_skl,sK1907_skl)
& cCoq_2eInit_2eDatatypes_2elist___24t(ciT,sK1906_skl)
& ciT___24t(sK1905_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1905_skl,sK1906_skl,sK1907_skl,sK1908_skl,sK1909_skl,sK1910_skl]),skolemize(V0__l,sK1905_skl),skolemize(V1__ls,sK1906_skl),skolemize(V2__a,sK1907_skl),skolemize(V3__b,sK1908_skl),skolemize(V4__c,sK1909_skl),skolemize(V5__d,sK1910_skl)],[f15346]) ).
fof(f15354,plain,
cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1907_skl,sK1908_skl) = cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1909_skl,sK1910_skl),
inference(cnf_transformation,[status(thm)],[f15347]) ).
fof(f15355,plain,
( sK1908_skl != sK1910_skl
| sK1907_skl != sK1909_skl ),
inference(cnf_transformation,[status(thm)],[f15347]) ).
fof(f19394,definition,
( sQ67_spl
<=> sK1907_skl = sK1909_skl ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f19396,plain,
( sQ67_spl
| sK1907_skl != sK1909_skl ),
inference(component_clause,[status(thm)],[f19394]) ).
fof(f19397,definition,
( sQ68_spl
<=> sK1908_skl = sK1910_skl ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f19399,plain,
( sQ68_spl
| sK1908_skl != sK1910_skl ),
inference(component_clause,[status(thm)],[f19397]) ).
fof(f19400,plain,
( ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f15355,f19394,f19397]) ).
fof(f19892,plain,
sK1907_skl = sK1909_skl,
inference(resolution,[status(thm)],[f15354,f5621]) ).
fof(f19893,plain,
sK1908_skl = sK1910_skl,
inference(resolution,[status(thm)],[f15354,f5620]) ).
fof(f19904,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19892,f19396]) ).
fof(f19905,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f19904]) ).
fof(f19906,plain,
( sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19893,f19399]) ).
fof(f19907,plain,
sQ68_spl,
inference(contradiction_clause,[status(thm)],[f19906]) ).
fof(f19908,plain,
$false,
inference(sat_refutation,[status(thm)],[f19400,f19905,f19907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV631+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:35:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.30/0.60 % Drodi V4.1.1
% 0.37/0.72 % Refutation found
% 0.37/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.37/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.39/0.86 % Elapsed time: 0.486655 seconds
% 0.39/0.86 % CPU time: 1.432729 seconds
% 0.39/0.86 % Total memory used: 696.034 MB
% 0.39/0.86 % Net memory used: 690.979 MB
%------------------------------------------------------------------------------