TSTP Solution File: SEU047+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 : 600s
% DateTime : Tue Jul 19 12:38:14 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 54 ( 17 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 49 ( 12 ~; 8 |; 19 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 39 ( 0 sgn 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t97_funct_1,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) ) ) ) ).
fof(t129_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ).
fof(t130_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ) ).
fof(subgoal_0,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) ),
inference(strip,[],[t97_funct_1]) ).
fof(subgoal_1,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(strip,[],[t97_funct_1]) ).
fof(negate_0_0,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) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C] :
( relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C)
& function(C)
& relation(C)
& subset(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [A,B,C] :
( ~ relation(C)
| ~ subset(A,B)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ),
inference(canonicalize,[],[t129_relat_1]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ~ relation(C)
| ~ subset(A,B)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_2]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_3]) ).
fof(negate_1_0,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(negate,[],[subgoal_1]) ).
fof(normalize_1_0,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)
& function(C)
& relation(C)
& subset(A,B) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
! [A,B,C] :
( ~ relation(C)
| ~ subset(A,B)
| relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ),
inference(canonicalize,[],[t130_relat_1]) ).
fof(normalize_1_2,plain,
! [A,B,C] :
( ~ relation(C)
| ~ subset(A,B)
| relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ),
inference(specialize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
$false,
inference(simplify,[],[normalize_1_0,normalize_1_2]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 06:53:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------