%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET677+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 02:10:25 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 109 ( 28 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 126 ( 51 ~; 44 |; 13 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(C,B))
=> ( subset(identity_relation_of(C),D)
=> ( subset(C,range(C,B,D))
& C = domain(C,B,D) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(identity_relation_of(C),D)
=> ( C = range(B,C,D)
& subset(C,domain(B,C,D)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,identity_relation_of_type(B))
<=> ilf_type(C,relation_type(B,B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,identity_relation_of_type(B))
=> ( subset(identity_relation_of(B),C)
=> ( B = range(B,B,C)
& B = domain(B,B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,identity_relation_of_type(B))
=> ( subset(identity_relation_of(B),C)
=> ( B = range(B,B,C)
& B = domain(B,B,C) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( subset(C,range(C,B,D))
& C = domain(C,B,D) )
| ~ subset(identity_relation_of(C),D)
| ~ ilf_type(D,relation_type(C,B)) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
! [X0,X1,X2] :
( X1 = domain(X1,X0,X2)
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( C = range(B,C,D)
& subset(C,domain(B,C,D)) )
| ~ subset(identity_relation_of(C),D)
| ~ ilf_type(D,relation_type(B,C)) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
! [X0,X1,X2] :
( X1 = range(X0,X1,X2)
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f50,plain,
! [B] :
( ! [C] :
( ( ilf_type(C,identity_relation_of_type(B))
<=> ilf_type(C,relation_type(B,B)) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f51,plain,
! [B] :
( ! [C] :
( ( ( ~ ilf_type(C,relation_type(B,B))
| ilf_type(C,identity_relation_of_type(B)) )
& ( ilf_type(C,relation_type(B,B))
| ~ ilf_type(C,identity_relation_of_type(B)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f153,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f154,plain,
? [B] :
( ? [C] :
( ( B != range(B,B,C)
| B != domain(B,B,C) )
& subset(identity_relation_of(B),C)
& ilf_type(C,identity_relation_of_type(B)) )
& ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f155,plain,
( ( sK13_skl != range(sK13_skl,sK13_skl,sK14_skl)
| sK13_skl != domain(sK13_skl,sK13_skl,sK14_skl) )
& subset(identity_relation_of(sK13_skl),sK14_skl)
& ilf_type(sK14_skl,identity_relation_of_type(sK13_skl))
& ilf_type(sK13_skl,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(B,sK13_skl),skolemize(C,sK14_skl)],[f154]) ).
fof(f157,plain,
ilf_type(sK14_skl,identity_relation_of_type(sK13_skl)),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f158,plain,
subset(identity_relation_of(sK13_skl),sK14_skl),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f159,plain,
( sK13_skl != range(sK13_skl,sK13_skl,sK14_skl)
| sK13_skl != domain(sK13_skl,sK13_skl,sK14_skl) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f168,plain,
! [X0,X1,X2] :
( X0 = domain(X0,X2,X1)
| ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X0,X2))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f153]) ).
fof(f171,plain,
! [X0,X1,X2] :
( X0 = range(X2,X0,X1)
| ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f153]) ).
fof(f176,plain,
! [X0,X1] :
( ilf_type(X0,relation_type(X1,X1))
| ~ ilf_type(X0,identity_relation_of_type(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f153]) ).
fof(f177,plain,
( ilf_type(sK14_skl,relation_type(sK13_skl,sK13_skl))
| ~ ilf_type(sK14_skl,set_type) ),
inference(resolution,[status(thm)],[f176,f157]) ).
fof(f178,plain,
ilf_type(sK14_skl,relation_type(sK13_skl,sK13_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f177,f153]) ).
fof(f181,plain,
( sK13_skl = range(sK13_skl,sK13_skl,sK14_skl)
| ~ subset(identity_relation_of(sK13_skl),sK14_skl)
| ~ ilf_type(sK13_skl,set_type) ),
inference(resolution,[status(thm)],[f178,f171]) ).
fof(f184,plain,
( sK13_skl = domain(sK13_skl,sK13_skl,sK14_skl)
| ~ subset(identity_relation_of(sK13_skl),sK14_skl)
| ~ ilf_type(sK13_skl,set_type) ),
inference(resolution,[status(thm)],[f178,f168]) ).
fof(f185,plain,
( sK13_skl = range(sK13_skl,sK13_skl,sK14_skl)
| ~ subset(identity_relation_of(sK13_skl),sK14_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f181,f153]) ).
fof(f188,plain,
( sK13_skl = domain(sK13_skl,sK13_skl,sK14_skl)
| ~ subset(identity_relation_of(sK13_skl),sK14_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f153]) ).
fof(f189,plain,
( sK13_skl != sK13_skl
| sK13_skl != domain(sK13_skl,sK13_skl,sK14_skl) ),
inference(backward_demodulation,[status(thm)],[f190,f159]) ).
fof(f190,plain,
sK13_skl = range(sK13_skl,sK13_skl,sK14_skl),
inference(forward_subsumption_resolution,[status(thm)],[f185,f158]) ).
fof(f191,plain,
sK13_skl != domain(sK13_skl,sK13_skl,sK14_skl),
inference(trivial_equality_resolution,[status(thm)],[f189]) ).
fof(f192,plain,
sK13_skl != sK13_skl,
inference(backward_demodulation,[status(thm)],[f193,f191]) ).
fof(f193,plain,
sK13_skl = domain(sK13_skl,sK13_skl,sK14_skl),
inference(forward_subsumption_resolution,[status(thm)],[f188,f158]) ).
fof(f194,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET677+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:33:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.062793 seconds
% 0.13/0.42 % CPU time: 0.148147 seconds
% 0.13/0.42 % Total memory used: 82.766 MB
% 0.13/0.42 % Net memory used: 82.701 MB
%------------------------------------------------------------------------------