%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:19:57 PM UTC 2026
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 19 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 59 ( 51 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,axiom,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [A,B,C] :
( ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f39,plain,
! [X0,X1,X2] :
( subset(relation_rng(X0),X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B)
| ~ relation_of2_as_subset(D,C,A) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
! [C,D] :
( ! [B] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B) )
| ! [A] : ~ relation_of2_as_subset(D,C,A) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X0,X1,X3)
| ~ subset(relation_rng(X0),X3)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
? [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,B)
& subset(A,B)
& relation_of2_as_subset(D,C,A) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f44,plain,
? [A,C,D] :
( ? [B] :
( ~ relation_of2_as_subset(D,C,B)
& subset(A,B) )
& relation_of2_as_subset(D,C,A) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f45,plain,
( ~ relation_of2_as_subset(sK5_skl,sK4_skl,sK6_skl)
& subset(sK3_skl,sK6_skl)
& relation_of2_as_subset(sK5_skl,sK4_skl,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK3_skl),skolemize(C,sK4_skl),skolemize(D,sK5_skl),skolemize(B,sK6_skl)],[f44]) ).
fof(f46,plain,
relation_of2_as_subset(sK5_skl,sK4_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
subset(sK3_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f48,plain,
~ relation_of2_as_subset(sK5_skl,sK4_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f49,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f50,plain,
! [A,C] :
( subset(A,C)
| ! [B] :
( ~ subset(B,C)
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f75,plain,
! [X0] :
( ~ subset(relation_rng(sK5_skl),sK6_skl)
| ~ relation_of2_as_subset(sK5_skl,sK4_skl,X0) ),
inference(resolution,[status(thm)],[f42,f48]) ).
fof(f79,plain,
! [X0,X1] :
( ~ subset(X1,sK6_skl)
| ~ subset(relation_rng(sK5_skl),X1)
| ~ relation_of2_as_subset(sK5_skl,sK4_skl,X0) ),
inference(resolution,[status(thm)],[f75,f51]) ).
fof(f87,plain,
! [X0] :
( ~ subset(X0,sK6_skl)
| ~ subset(relation_rng(sK5_skl),X0) ),
inference(resolution,[status(thm)],[f79,f46]) ).
fof(f89,plain,
! [X0,X1] :
( ~ relation_of2_as_subset(sK5_skl,X1,X0)
| ~ subset(X0,sK6_skl) ),
inference(resolution,[status(thm)],[f87,f39]) ).
fof(f95,plain,
~ subset(sK3_skl,sK6_skl),
inference(resolution,[status(thm)],[f89,f46]) ).
fof(f97,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f95,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n007.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 06:03:05 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.47 % Refutation found
% 0.19/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.53 % Elapsed time: 0.072806 seconds
% 0.19/0.53 % CPU time: 0.102339 seconds
% 0.19/0.53 % Total memory used: 3.577 MB
% 0.19/0.53 % Net memory used: 3.565 MB
%------------------------------------------------------------------------------