%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:08:47 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 8 unt; 3 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 26 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [Set1,Set2,Intersection] :
( member(h(Set1,Set2,Intersection),Set1)
| intersection(Set1,Set2,Intersection)
| member(h(Set1,Set2,Intersection),Intersection) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Set1,Set2,Intersection] :
( member(h(Set1,Set2,Intersection),Set2)
| intersection(Set1,Set2,Intersection)
| member(h(Set1,Set2,Intersection),Intersection) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Element,Set1,Set2,A_set] :
( ~ difference(A_set,Set1,Set2)
| ~ member(Element,Set2)
| ~ member(Element,Set1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [A] : ~ member(A,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0,X1,X2] :
( member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
! [X0,X1,X2] :
( member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
! [Set1,Set2] :
( ! [A_set] : ~ difference(A_set,Set1,Set2)
| ! [Element] :
( ~ member(Element,Set2)
| ~ member(Element,Set1) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f47,plain,
difference(b,a,bDa),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f48,plain,
~ intersection(a,bDa,aI_bDa),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
! [X0] : ~ member(X0,aI_bDa),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f50,plain,
( member(h(a,bDa,aI_bDa),a)
| member(h(a,bDa,aI_bDa),aI_bDa) ),
inference(resolution,[status(thm)],[f35,f48]) ).
fof(f51,definition,
( sQ0_spl
<=> member(h(a,bDa,aI_bDa),aI_bDa) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ0_spl
| member(h(a,bDa,aI_bDa),aI_bDa) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,definition,
( sQ1_spl
<=> member(h(a,bDa,aI_bDa),a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( ~ sQ1_spl
| member(h(a,bDa,aI_bDa),a) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f51,f54]) ).
fof(f58,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f49]) ).
fof(f59,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f58]) ).
fof(f63,plain,
( member(h(a,bDa,aI_bDa),bDa)
| member(h(a,bDa,aI_bDa),aI_bDa) ),
inference(resolution,[status(thm)],[f36,f48]) ).
fof(f64,definition,
( sQ2_spl
<=> member(h(a,bDa,aI_bDa),bDa) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( ~ sQ2_spl
| member(h(a,bDa,aI_bDa),bDa) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f51,f64]) ).
fof(f94,plain,
! [X0] :
( ~ member(X0,bDa)
| ~ member(X0,a) ),
inference(resolution,[status(thm)],[f41,f47]) ).
fof(f95,plain,
( ~ sQ2_spl
| ~ member(h(a,bDa,aI_bDa),a) ),
inference(resolution,[status(thm)],[f94,f65]) ).
fof(f96,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f55]) ).
fof(f97,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f96]) ).
fof(f98,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f59,f67,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 04:41:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.049903 seconds
% 0.13/0.43 % CPU time: 0.138498 seconds
% 0.13/0.43 % Total memory used: 17.559 MB
% 0.13/0.43 % Net memory used: 17.207 MB
%------------------------------------------------------------------------------