%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:19:11 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 111 ( 20 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 125 ( 48 ~; 42 |; 28 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A,B] :
( A = B
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( ( subset(A,relation_rng(C))
& subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) )
=> subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( ( subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B) )
=> A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( ( subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B) )
=> A = B ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f45,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( ! [A,B] :
( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ! [A,B] :
( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f97,plain,
! [A,B,C] :
( subset(A,B)
| ~ subset(A,relation_rng(C))
| ~ subset(relation_inverse_image(C,A),relation_inverse_image(C,B))
| ~ function(C)
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f98,plain,
! [C] :
( ! [A,B] :
( subset(A,B)
| ~ subset(A,relation_rng(C))
| ~ subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) )
| ~ function(C)
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( subset(X1,X2)
| ~ subset(X1,relation_rng(X0))
| ~ subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
? [A,B,C] :
( A != B
& subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B)
& function(C)
& relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f101,plain,
? [C] :
( ? [A,B] :
( A != B
& subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B) )
& function(C)
& relation(C) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f102,plain,
( sK12_skl != sK13_skl
& subset(sK13_skl,relation_rng(sK11_skl))
& subset(sK12_skl,relation_rng(sK11_skl))
& relation_inverse_image(sK11_skl,sK12_skl) = relation_inverse_image(sK11_skl,sK13_skl)
& function(sK11_skl)
& relation(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(C,sK11_skl),skolemize(A,sK12_skl),skolemize(B,sK13_skl)],[f101]) ).
fof(f103,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
function(sK11_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f105,plain,
relation_inverse_image(sK11_skl,sK12_skl) = relation_inverse_image(sK11_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f106,plain,
subset(sK12_skl,relation_rng(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f107,plain,
subset(sK13_skl,relation_rng(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f108,plain,
sK12_skl != sK13_skl,
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f131,plain,
! [X0] : subset(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f47]) ).
fof(f143,plain,
! [X0] :
( subset(sK13_skl,X0)
| ~ subset(sK13_skl,relation_rng(sK11_skl))
| ~ subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,X0))
| ~ function(sK11_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f105,f99]) ).
fof(f144,plain,
! [X0] :
( subset(X0,sK13_skl)
| ~ subset(X0,relation_rng(sK11_skl))
| ~ subset(relation_inverse_image(sK11_skl,X0),relation_inverse_image(sK11_skl,sK12_skl))
| ~ function(sK11_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f105,f99]) ).
fof(f145,plain,
! [X0] :
( subset(sK13_skl,X0)
| ~ subset(sK13_skl,relation_rng(sK11_skl))
| ~ subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,X0))
| ~ function(sK11_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f103]) ).
fof(f146,plain,
! [X0] :
( subset(X0,sK13_skl)
| ~ subset(X0,relation_rng(sK11_skl))
| ~ subset(relation_inverse_image(sK11_skl,X0),relation_inverse_image(sK11_skl,sK12_skl))
| ~ function(sK11_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f103]) ).
fof(f147,plain,
! [X0] :
( subset(X0,sK13_skl)
| ~ subset(X0,relation_rng(sK11_skl))
| ~ subset(relation_inverse_image(sK11_skl,X0),relation_inverse_image(sK11_skl,sK12_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f104]) ).
fof(f148,plain,
( subset(sK12_skl,sK13_skl)
| ~ subset(sK12_skl,relation_rng(sK11_skl)) ),
inference(resolution,[status(thm)],[f147,f131]) ).
fof(f150,plain,
subset(sK12_skl,sK13_skl),
inference(forward_subsumption_resolution,[status(thm)],[f148,f106]) ).
fof(f151,plain,
! [X0] :
( subset(sK13_skl,X0)
| ~ subset(sK13_skl,relation_rng(sK11_skl))
| ~ subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f145,f104]) ).
fof(f152,plain,
( subset(sK13_skl,sK12_skl)
| ~ subset(sK13_skl,relation_rng(sK11_skl)) ),
inference(resolution,[status(thm)],[f151,f131]) ).
fof(f154,plain,
subset(sK13_skl,sK12_skl),
inference(forward_subsumption_resolution,[status(thm)],[f152,f107]) ).
fof(f155,plain,
( ~ subset(sK13_skl,sK12_skl)
| sK13_skl = sK12_skl ),
inference(resolution,[status(thm)],[f150,f49]) ).
fof(f156,plain,
~ subset(sK13_skl,sK12_skl),
inference(forward_subsumption_resolution,[status(thm)],[f155,f108]) ).
fof(f159,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f156,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:55:29 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.047126 seconds
% 0.12/0.40 % CPU time: 0.135870 seconds
% 0.12/0.40 % Total memory used: 83.464 MB
% 0.12/0.40 % Net memory used: 83.444 MB
%------------------------------------------------------------------------------