%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET575+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:10:06 PM UTC 2026
% Result : Theorem 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 14 |; 11 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 26 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,C)
& member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
! [B,C] :
( intersect(B,C)
=> ? [D] :
( member(D,C)
& member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ! [B,C] :
( intersect(B,C)
=> ? [D] :
( member(D,C)
& member(D,B) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [B,C] :
( ( ! [D] :
( ~ member(D,C)
| ~ member(D,B) )
| intersect(B,C) )
& ( ? [D] :
( member(D,C)
& member(D,B) )
| ~ intersect(B,C) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
( ! [B,C] :
( ! [D] :
( ~ member(D,C)
| ~ member(D,B) )
| intersect(B,C) )
& ! [B,C] :
( ? [D] :
( member(D,C)
& member(D,B) )
| ~ intersect(B,C) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f7,plain,
( ! [B,C] :
( ! [D] :
( ~ member(D,C)
| ~ member(D,B) )
| intersect(B,C) )
& ! [B,C] :
( ( member(sK0_skl(C,B),C)
& member(sK0_skl(C,B),B) )
| ~ intersect(B,C) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( member(sK0_skl(X1,X0),X0)
| ~ intersect(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( member(sK0_skl(X1,X0),X1)
| ~ intersect(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f13,plain,
? [B,C] :
( ! [D] :
( ~ member(D,C)
| ~ member(D,B) )
& intersect(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( ! [D] :
( ~ member(D,sK2_skl)
| ~ member(D,sK1_skl) )
& intersect(sK1_skl,sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f13]) ).
fof(f15,plain,
intersect(sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ member(X0,sK2_skl)
| ~ member(X0,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f27,plain,
member(sK0_skl(sK2_skl,sK1_skl),sK2_skl),
inference(resolution,[status(thm)],[f9,f15]) ).
fof(f33,plain,
~ member(sK0_skl(sK2_skl,sK1_skl),sK1_skl),
inference(resolution,[status(thm)],[f27,f16]) ).
fof(f49,plain,
~ intersect(sK1_skl,sK2_skl),
inference(resolution,[status(thm)],[f33,f8]) ).
fof(f50,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f49,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET575+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 05:28:43 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.50 % Elapsed time: 0.088285 seconds
% 0.17/0.50 % CPU time: 0.097644 seconds
% 0.17/0.50 % Total memory used: 1.750 MB
% 0.17/0.50 % Net memory used: 1.746 MB
%------------------------------------------------------------------------------