%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET633+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 : 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 02:10:18 PM UTC 2026
% Result : Theorem 0.13s 5.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 33 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 7 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C,D] :
( ( subset(D,C)
& subset(B,C) )
=> subset(union(B,D),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [B,C,D] :
( ( subset(difference(C,B),D)
& subset(difference(B,C),D) )
=> subset(symmetric_difference(B,C),D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [B,C,D] :
( ( subset(difference(C,B),D)
& subset(difference(B,C),D) )
=> subset(symmetric_difference(B,C),D) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [B,C,D] :
( subset(union(B,D),C)
| ~ subset(D,C)
| ~ subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1,X2] :
( subset(union(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f36,plain,
? [B,C,D] :
( ~ subset(symmetric_difference(B,C),D)
& subset(difference(C,B),D)
& subset(difference(B,C),D) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f37,plain,
( ~ subset(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)
& subset(difference(sK3_skl,sK2_skl),sK4_skl)
& subset(difference(sK2_skl,sK3_skl),sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f36]) ).
fof(f38,plain,
subset(difference(sK2_skl,sK3_skl),sK4_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
subset(difference(sK3_skl,sK2_skl),sK4_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
~ subset(symmetric_difference(sK2_skl,sK3_skl),sK4_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f58,plain,
! [X0,X1,X2] :
( subset(symmetric_difference(X0,X1),X2)
| ~ subset(difference(X1,X0),X2)
| ~ subset(difference(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f68,plain,
( ~ subset(difference(sK3_skl,sK2_skl),sK4_skl)
| ~ subset(difference(sK2_skl,sK3_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f58,f40]) ).
fof(f71,plain,
~ subset(difference(sK3_skl,sK2_skl),sK4_skl),
inference(forward_subsumption_resolution,[status(thm)],[f68,f38]) ).
fof(f72,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f71,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET633+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n008.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 05:31:15 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.43 % Elapsed time: 0.056403 seconds
% 0.13/5.43 % CPU time: 0.149233 seconds
% 0.13/5.43 % Total memory used: 101.737 MB
% 0.13/5.43 % Net memory used: 101.340 MB
%------------------------------------------------------------------------------