TSTP Solution File: ITP018+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP018+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Tue Apr 30 20:22:51 EDT 2024
% Result : Theorem 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 133 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 136 ( 57 ~; 54 |; 4 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B,F] :
( mem(F,arr(A,B))
=> ! [X] :
( mem(X,A)
=> mem(ap(F,X),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A0] :
( ne(A0)
=> ! [A1] :
( ne(A1)
=> ne(ty_2Epair_2Eprod(A0,A1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A_27t] :
( ne(A_27t)
=> ! [A_27w] :
( ne(A_27w)
=> mem(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(A_27t,A_27w)),ty_2Ebinary__ieee_2Efloat(A_27t,A_27w))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A_27a] :
( ne(A_27a)
=> mem(c_2Ebool_2Ethe__value(A_27a),ty_2Ebool_2Eitself(A_27a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A_27a] :
( ne(A_27a)
=> ! [A_27b] :
( ne(A_27b)
=> ! [V0x] :
( mem(V0x,ty_2Ebinary__ieee_2Efloat(A_27a,A_27b))
=> ap(c_2Ebinary__ieee_2Efloat__to__real(A_27a,A_27b),ap(c_2Ebinary__ieee_2Efloat__negate(A_27a,A_27b),V0x)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(A_27a,A_27b),V0x)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A_27t] :
( ne(A_27t)
=> ! [A_27w] :
( ne(A_27w)
=> ap(c_2Ebinary__ieee_2Eulp(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w))) = ap(c_2Ebinary__ieee_2Efloat__to__real(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,conjecture,
! [A_27t] :
( ne(A_27t)
=> ! [A_27w] :
( ne(A_27w)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__negate(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ ! [A_27t] :
( ne(A_27t)
=> ! [A_27w] :
( ne(A_27w)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__negate(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w))))) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f35,plain,
! [A,B,F] :
( ~ mem(F,arr(A,B))
| ! [X] :
( ~ mem(X,A)
| mem(ap(F,X),B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ~ mem(X0,arr(X1,X2))
| ~ mem(X3,X1)
| mem(ap(X0,X3),X2) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f56,plain,
! [A0] :
( ~ ne(A0)
| ! [A1] :
( ~ ne(A1)
| ne(ty_2Epair_2Eprod(A0,A1)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f57,plain,
! [X0,X1] :
( ~ ne(X0)
| ~ ne(X1)
| ne(ty_2Epair_2Eprod(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f60,plain,
! [A_27t] :
( ~ ne(A_27t)
| ! [A_27w] :
( ~ ne(A_27w)
| mem(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(A_27t,A_27w)),ty_2Ebinary__ieee_2Efloat(A_27t,A_27w))) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f61,plain,
! [X0,X1] :
( ~ ne(X0)
| ~ ne(X1)
| mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f64,plain,
! [A_27a] :
( ~ ne(A_27a)
| mem(c_2Ebool_2Ethe__value(A_27a),ty_2Ebool_2Eitself(A_27a)) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f65,plain,
! [X0] :
( ~ ne(X0)
| mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f84,plain,
! [A_27a] :
( ~ ne(A_27a)
| ! [A_27b] :
( ~ ne(A_27b)
| ! [V0x] :
( ~ mem(V0x,ty_2Ebinary__ieee_2Efloat(A_27a,A_27b))
| ap(c_2Ebinary__ieee_2Efloat__to__real(A_27a,A_27b),ap(c_2Ebinary__ieee_2Efloat__negate(A_27a,A_27b),V0x)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(A_27a,A_27b),V0x)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ ne(X0)
| ~ ne(X1)
| ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
| ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f86,plain,
! [A_27t] :
( ~ ne(A_27t)
| ! [A_27w] :
( ~ ne(A_27w)
| ap(c_2Ebinary__ieee_2Eulp(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w))) = ap(c_2Ebinary__ieee_2Efloat__to__real(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w)))) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f87,plain,
! [X0,X1] :
( ~ ne(X0)
| ~ ne(X1)
| ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f92,plain,
? [A_27t] :
( ne(A_27t)
& ? [A_27w] :
( ne(A_27w)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__negate(A_27t,A_27w),ap(c_2Ebinary__ieee_2Efloat__plus__min(A_27t,A_27w),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27t,A_27w))))) ) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f93,plain,
( ne(sk0_2)
& ne(sk0_3)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__negate(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))) ),
inference(skolemization,[status(esa)],[f92]) ).
fof(f94,plain,
ne(sk0_2),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
ne(sk0_3),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f96,plain,
ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__negate(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f100,plain,
! [X0] :
( ~ ne(X0)
| ap(c_2Ebinary__ieee_2Eulp(X0,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,sk0_3))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,sk0_3)))) ),
inference(resolution,[status(thm)],[f87,f95]) ).
fof(f104,plain,
ap(c_2Ebinary__ieee_2Eulp(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))) = ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)))),
inference(resolution,[status(thm)],[f100,f94]) ).
fof(f151,plain,
( spl0_0
<=> mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))),ty_2Ebinary__ieee_2Efloat(sk0_2,sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))),ty_2Ebinary__ieee_2Efloat(sk0_2,sk0_3))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))),ty_2Ebinary__ieee_2Efloat(sk0_2,sk0_3))
| spl0_0 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f157,plain,
( spl0_2
<=> ne(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f159,plain,
( ~ ne(sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( spl0_3
<=> ne(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f162,plain,
( ~ ne(sk0_3)
| spl0_3 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f165,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f95]) ).
fof(f166,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f159,f94]) ).
fof(f168,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f236,plain,
! [X0] :
( ~ mem(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),arr(X0,ty_2Ebinary__ieee_2Efloat(sk0_2,sk0_3)))
| ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)),X0)
| spl0_0 ),
inference(resolution,[status(thm)],[f153,f36]) ).
fof(f240,plain,
( spl0_10
<=> mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sk0_2,sk0_3))) ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sk0_2,sk0_3)))
| spl0_10 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sk0_2,sk0_3)))
| ~ ne(sk0_2)
| ~ ne(sk0_3)
| spl0_0 ),
inference(resolution,[status(thm)],[f236,f61]) ).
fof(f244,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_3
| spl0_0 ),
inference(split_clause,[status(thm)],[f243,f240,f157,f160,f151]) ).
fof(f245,plain,
( ~ ne(ty_2Epair_2Eprod(sk0_2,sk0_3))
| spl0_10 ),
inference(resolution,[status(thm)],[f242,f65]) ).
fof(f246,plain,
( ~ ne(sk0_2)
| ~ ne(sk0_3)
| spl0_10 ),
inference(resolution,[status(thm)],[f245,f57]) ).
fof(f247,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_10 ),
inference(split_clause,[status(thm)],[f246,f157,f160,f240]) ).
fof(f248,plain,
( spl0_11
<=> ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__negate(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))) ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__negate(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)))))
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ ne(sk0_2)
| ~ ne(sk0_3)
| ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__negate(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3)))))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f152,f85]) ).
fof(f252,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_11
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f251,f157,f160,f248,f151]) ).
fof(f253,plain,
( ap(c_2Ebinary__ieee_2Efloat__to__real(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__negate(sk0_2,sk0_3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sk0_2,sk0_3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sk0_2,sk0_3))))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f104,f249]) ).
fof(f254,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f253,f96]) ).
fof(f255,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f254]) ).
fof(f256,plain,
$false,
inference(sat_refutation,[status(thm)],[f166,f168,f244,f247,f252,f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP018+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n032.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Apr 29 23:05:06 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.36 % Elapsed time: 0.034491 seconds
% 0.09/0.36 % CPU time: 0.179227 seconds
% 0.09/0.36 % Total memory used: 34.752 MB
% 0.09/0.36 % Net memory used: 34.657 MB
%------------------------------------------------------------------------------