%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU041+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 : 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 02:19:08 PM UTC 2026
% Result : Theorem 0.13s 15.62s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 7 unt; 2 def)
% Number of atoms : 76 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 27 ~; 23 |; 13 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,plain,
? [A,B,C] :
( ( relation_dom_restriction(relation_dom_restriction(C,B),A) != relation_dom_restriction(C,A)
| relation_dom_restriction(relation_dom_restriction(C,A),B) != relation_dom_restriction(C,A) )
& subset(A,B)
& function(C)
& relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f122,plain,
? [C] :
( ? [A,B] :
( ( relation_dom_restriction(relation_dom_restriction(C,B),A) != relation_dom_restriction(C,A)
| relation_dom_restriction(relation_dom_restriction(C,A),B) != relation_dom_restriction(C,A) )
& subset(A,B) )
& function(C)
& relation(C) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
( ( relation_dom_restriction(relation_dom_restriction(sK11_skl,sK13_skl),sK12_skl) != relation_dom_restriction(sK11_skl,sK12_skl)
| relation_dom_restriction(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl) != relation_dom_restriction(sK11_skl,sK12_skl) )
& subset(sK12_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)],[f122]) ).
fof(f124,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
subset(sK12_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
( relation_dom_restriction(relation_dom_restriction(sK11_skl,sK13_skl),sK12_skl) != relation_dom_restriction(sK11_skl,sK12_skl)
| relation_dom_restriction(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl) != relation_dom_restriction(sK11_skl,sK12_skl) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f128,plain,
! [A,B,C] :
( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f129,plain,
! [C] :
( ! [A,B] :
( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
| ~ subset(A,B) )
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X0,X1),X2) = relation_dom_restriction(X0,X1)
| ~ subset(X1,X2)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
! [A,B,C] :
( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f132,plain,
! [C] :
( ! [A,B] :
( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
| ~ subset(A,B) )
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f131]) ).
fof(f133,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X0,X2),X1) = relation_dom_restriction(X0,X1)
| ~ subset(X1,X2)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f134,definition,
( sQ0_spl
<=> relation_dom_restriction(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl) = relation_dom_restriction(sK11_skl,sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( sQ0_spl
| relation_dom_restriction(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl) != relation_dom_restriction(sK11_skl,sK12_skl) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ1_spl
<=> relation_dom_restriction(relation_dom_restriction(sK11_skl,sK13_skl),sK12_skl) = relation_dom_restriction(sK11_skl,sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( sQ1_spl
| relation_dom_restriction(relation_dom_restriction(sK11_skl,sK13_skl),sK12_skl) != relation_dom_restriction(sK11_skl,sK12_skl) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f127,f134,f137]) ).
fof(f143,plain,
! [X0,X1] :
( relation_dom_restriction(relation_dom_restriction(sK11_skl,X0),X1) = relation_dom_restriction(sK11_skl,X0)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[f130,f124]) ).
fof(f145,plain,
! [X0,X1] :
( relation_dom_restriction(relation_dom_restriction(sK11_skl,X1),X0) = relation_dom_restriction(sK11_skl,X0)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[f133,f124]) ).
fof(f164,plain,
relation_dom_restriction(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl) = relation_dom_restriction(sK11_skl,sK12_skl),
inference(resolution,[status(thm)],[f143,f126]) ).
fof(f166,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f136]) ).
fof(f167,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f166]) ).
fof(f180,plain,
relation_dom_restriction(relation_dom_restriction(sK11_skl,sK13_skl),sK12_skl) = relation_dom_restriction(sK11_skl,sK12_skl),
inference(resolution,[status(thm)],[f145,f126]) ).
fof(f182,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f139]) ).
fof(f183,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f184,plain,
$false,
inference(sat_refutation,[status(thm)],[f140,f167,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU041+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.58 % Computer : n008.cluster.edu
% 0.09/15.58 % Model : x86_64 x86_64
% 0.09/15.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.58 % Memory : 8046.5625MB
% 0.09/15.58 % OS : Linux 6.8.0-71-generic
% 0.09/15.58 % CPULimit : 300
% 0.09/15.58 % WCLimit : 300
% 0.09/15.58 % DateTime : Mon Sep 21 05:48:56 UTC 2026
% 0.09/15.59 % CPUTime :
% 0.13/15.60 % Drodi V4.1.1
% 0.13/15.62 % Refutation found
% 0.13/15.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/15.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/15.65 % Elapsed time: 0.057075 seconds
% 0.13/15.65 % CPU time: 0.149789 seconds
% 0.13/15.65 % Total memory used: 81.351 MB
% 0.13/15.65 % Net memory used: 81.316 MB
%------------------------------------------------------------------------------