%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU047+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 : n011.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 0.12s 0.38s
% Output : CNFRefutation 0.12s
% 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 : 38 ( 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,plain,
? [A,B,C] :
( ( relation_rng_restriction(A,relation_rng_restriction(B,C)) != relation_rng_restriction(A,C)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C) )
& subset(A,B)
& function(C)
& relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f117,plain,
? [C] :
( ? [A,B] :
( ( relation_rng_restriction(A,relation_rng_restriction(B,C)) != relation_rng_restriction(A,C)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C) )
& subset(A,B) )
& function(C)
& relation(C) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
( ( relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl)) != relation_rng_restriction(sK12_skl,sK11_skl)
| relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl)) != relation_rng_restriction(sK12_skl,sK11_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)],[f117]) ).
fof(f119,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f121,plain,
subset(sK12_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f122,plain,
( relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl)) != relation_rng_restriction(sK12_skl,sK11_skl)
| relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl)) != relation_rng_restriction(sK12_skl,sK11_skl) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f123,plain,
! [A,B,C] :
( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f124,plain,
! [C] :
( ! [A,B] :
( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B) )
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) = relation_rng_restriction(X1,X0)
| ~ subset(X1,X2)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [A,B,C] :
( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f127,plain,
! [C] :
( ! [A,B] :
( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B) )
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f126]) ).
fof(f128,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X1,relation_rng_restriction(X2,X0)) = relation_rng_restriction(X1,X0)
| ~ subset(X1,X2)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,definition,
( sQ0_spl
<=> relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl)) = relation_rng_restriction(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( sQ0_spl
| relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl)) != relation_rng_restriction(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ1_spl
<=> relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl)) = relation_rng_restriction(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ1_spl
| relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl)) != relation_rng_restriction(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f122,f129,f132]) ).
fof(f138,plain,
! [X0] :
( relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,X0)) = relation_rng_restriction(sK12_skl,X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f125,f121]) ).
fof(f140,plain,
! [X0] :
( relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,X0)) = relation_rng_restriction(sK12_skl,X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f128,f121]) ).
fof(f144,plain,
relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl)) = relation_rng_restriction(sK12_skl,sK11_skl),
inference(resolution,[status(thm)],[f138,f119]) ).
fof(f146,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f131]) ).
fof(f147,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f146]) ).
fof(f180,plain,
relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl)) = relation_rng_restriction(sK12_skl,sK11_skl),
inference(resolution,[status(thm)],[f140,f119]) ).
fof(f182,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f134]) ).
fof(f183,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f184,plain,
$false,
inference(sat_refutation,[status(thm)],[f135,f147,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 05:47:56 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
% 0.12/0.42 % Elapsed time: 0.054218 seconds
% 0.12/0.42 % CPU time: 0.142995 seconds
% 0.12/0.42 % Total memory used: 81.208 MB
% 0.12/0.42 % Net memory used: 81.179 MB
%------------------------------------------------------------------------------