%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET639+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:10:19 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 30 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 7 ~; 2 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [B,C] : intersection(B,C) = intersection(C,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,conjecture,
! [B,C] :
( ( intersection(C,B) = empty_set
& subset(B,C) )
=> B = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ ! [B,C] :
( ( intersection(C,B) = empty_set
& subset(B,C) )
=> B = empty_set ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [B,C] :
( intersection(B,C) = B
| ~ subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f46,plain,
? [B,C] :
( B != empty_set
& intersection(C,B) = empty_set
& subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
? [B] :
( B != empty_set
& ? [C] :
( intersection(C,B) = empty_set
& subset(B,C) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f48,plain,
( sK3_skl != empty_set
& intersection(sK4_skl,sK3_skl) = empty_set
& subset(sK3_skl,sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f47]) ).
fof(f49,plain,
subset(sK3_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
intersection(sK4_skl,sK3_skl) = empty_set,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f51,plain,
sK3_skl != empty_set,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f54,plain,
intersection(sK3_skl,sK4_skl) = sK3_skl,
inference(resolution,[status(thm)],[f13,f49]) ).
fof(f58,plain,
empty_set = intersection(sK3_skl,sK4_skl),
inference(paramodulation,[status(thm)],[f50,f32]) ).
fof(f69,plain,
empty_set = sK3_skl,
inference(forward_demodulation,[status(thm)],[f54,f58]) ).
fof(f70,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f69,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET639+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n010.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 05:31:11 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.050726 seconds
% 0.13/0.40 % CPU time: 0.145257 seconds
% 0.13/0.40 % Total memory used: 98.377 MB
% 0.13/0.40 % Net memory used: 98.021 MB
%------------------------------------------------------------------------------