TSTP Solution File: SEU047+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:45 EDT 2023
% Result : Theorem 0.07s 0.28s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 7 unt; 0 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] :
( ( relation(C)
& function(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(A,relation_rng_restriction(B,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,plain,
? [A,B,C] :
( relation(C)
& function(C)
& subset(A,B)
& ( relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C)
| relation_rng_restriction(A,relation_rng_restriction(B,C)) != relation_rng_restriction(A,C) ) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f117,plain,
? [C] :
( relation(C)
& function(C)
& ? [A,B] :
( subset(A,B)
& ( relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C)
| relation_rng_restriction(A,relation_rng_restriction(B,C)) != relation_rng_restriction(A,C) ) ) ),
inference(miniscoping,[status(esa)],[f116]) ).
fof(f118,plain,
( relation(sk0_11)
& function(sk0_11)
& subset(sk0_12,sk0_13)
& ( relation_rng_restriction(sk0_13,relation_rng_restriction(sk0_12,sk0_11)) != relation_rng_restriction(sk0_12,sk0_11)
| relation_rng_restriction(sk0_12,relation_rng_restriction(sk0_13,sk0_11)) != relation_rng_restriction(sk0_12,sk0_11) ) ),
inference(skolemization,[status(esa)],[f117]) ).
fof(f119,plain,
relation(sk0_11),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f121,plain,
subset(sk0_12,sk0_13),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f122,plain,
( relation_rng_restriction(sk0_13,relation_rng_restriction(sk0_12,sk0_11)) != relation_rng_restriction(sk0_12,sk0_11)
| relation_rng_restriction(sk0_12,relation_rng_restriction(sk0_13,sk0_11)) != relation_rng_restriction(sk0_12,sk0_11) ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f123,plain,
! [A,B,C] :
( ~ relation(C)
| ~ subset(A,B)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f124,plain,
! [C] :
( ~ relation(C)
| ! [A,B] :
( ~ subset(A,B)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ),
inference(miniscoping,[status(esa)],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ subset(X1,X2)
| relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) = relation_rng_restriction(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f126,plain,
! [A,B,C] :
( ~ relation(C)
| ~ subset(A,B)
| relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f127,plain,
! [C] :
( ~ relation(C)
| ! [A,B] :
( ~ subset(A,B)
| relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ),
inference(miniscoping,[status(esa)],[f126]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ subset(X1,X2)
| relation_rng_restriction(X1,relation_rng_restriction(X2,X0)) = relation_rng_restriction(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f129,plain,
( spl0_0
<=> relation_rng_restriction(sk0_13,relation_rng_restriction(sk0_12,sk0_11)) = relation_rng_restriction(sk0_12,sk0_11) ),
introduced(split_symbol_definition) ).
fof(f131,plain,
( relation_rng_restriction(sk0_13,relation_rng_restriction(sk0_12,sk0_11)) != relation_rng_restriction(sk0_12,sk0_11)
| spl0_0 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( spl0_1
<=> relation_rng_restriction(sk0_12,relation_rng_restriction(sk0_13,sk0_11)) = relation_rng_restriction(sk0_12,sk0_11) ),
introduced(split_symbol_definition) ).
fof(f134,plain,
( relation_rng_restriction(sk0_12,relation_rng_restriction(sk0_13,sk0_11)) != relation_rng_restriction(sk0_12,sk0_11)
| spl0_1 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f122,f129,f132]) ).
fof(f136,plain,
! [X0] :
( ~ relation(X0)
| relation_rng_restriction(sk0_13,relation_rng_restriction(sk0_12,X0)) = relation_rng_restriction(sk0_12,X0) ),
inference(resolution,[status(thm)],[f125,f121]) ).
fof(f142,plain,
relation_rng_restriction(sk0_13,relation_rng_restriction(sk0_12,sk0_11)) = relation_rng_restriction(sk0_12,sk0_11),
inference(resolution,[status(thm)],[f136,f119]) ).
fof(f144,plain,
! [X0] :
( ~ relation(X0)
| relation_rng_restriction(sk0_12,relation_rng_restriction(sk0_13,X0)) = relation_rng_restriction(sk0_12,X0) ),
inference(resolution,[status(thm)],[f128,f121]) ).
fof(f147,plain,
relation_rng_restriction(sk0_12,relation_rng_restriction(sk0_13,sk0_11)) = relation_rng_restriction(sk0_12,sk0_11),
inference(resolution,[status(thm)],[f144,f119]) ).
fof(f164,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f131]) ).
fof(f165,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f176,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f134]) ).
fof(f177,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f178,plain,
$false,
inference(sat_refutation,[status(thm)],[f135,f165,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n024.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 09:17:33 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.51 % Elapsed time: 0.032507 seconds
% 0.11/0.51 % CPU time: 0.017913 seconds
% 0.11/0.51 % Memory used: 2.976 MB
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