TSTP Solution File: HEN007-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HEN007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:21:45 EDT 2024
% Result : Unsatisfiable 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 75 ( 45 unt; 0 def)
% Number of atoms : 137 ( 19 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 126 ( 64 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,V1,Z,V2,V3,V4,V5] :
( ~ quotient(X,Y,V1)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Z,V3)
| ~ quotient(V3,V2,V4)
| ~ quotient(V1,Z,V5)
| less_equal(V4,V5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z,W] :
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,W)
| Z = W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
less_equal(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
quotient(z,y,zQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
quotient(z,x,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
! [X,Z] :
( ! [Y] : ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [V4,V5] :
( ! [V1,Z] :
( ! [V2,V3] :
( ! [X] :
( ! [Y] :
( ~ quotient(X,Y,V1)
| ~ quotient(Y,Z,V2) )
| ~ quotient(X,Z,V3) )
| ~ quotient(V3,V2,V4) )
| ~ quotient(V1,Z,V5) )
| less_equal(V4,V5) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X5,X4,X6)
| ~ quotient(X2,X3,X7)
| less_equal(X6,X7) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
! [X0] : less_equal(zero,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f21,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [Z,W] :
( ! [X,Y] :
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,W) )
| Z = W ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
less_equal(x,y),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
quotient(z,y,zQy),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f28,plain,
quotient(z,x,zQx),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
~ less_equal(zQy,zQx),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(x,X0,X1)
| ~ quotient(z,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(zQx,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f19,f28]) ).
fof(f50,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[status(thm)],[f20,f21]) ).
fof(f52,plain,
! [X0] : quotient(zero,X0,zero),
inference(resolution,[status(thm)],[f14,f20]) ).
fof(f58,plain,
quotient(x,y,zero),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X3,X1,X4)
| ~ quotient(X4,X2,X5)
| ~ quotient(divide(X3,X0),X1,X6)
| less_equal(X5,X6) ),
inference(resolution,[status(thm)],[f23,f19]) ).
fof(f76,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f77,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[status(thm)],[f76,f50]) ).
fof(f78,plain,
! [X0,X1] : quotient(divide(X0,X1),X0,zero),
inference(resolution,[status(thm)],[f76,f14]) ).
fof(f79,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[status(thm)],[f76,f21]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ quotient(z,y,X0)
| ~ quotient(X0,zero,X1)
| ~ quotient(zQx,y,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f58,f32]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,X1),X0,X2)
| zero = X2 ),
inference(resolution,[status(thm)],[f25,f78]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ quotient(X0,X1,X2)
| divide(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X2,zero,X3)
| ~ quotient(divide(X0,zero),X1,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f75,f52]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X2,divide(X3,X1),X4)
| ~ quotient(divide(X0,X3),X1,X5)
| less_equal(X4,X5) ),
inference(resolution,[status(thm)],[f75,f23]) ).
fof(f144,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[status(thm)],[f96,f23]) ).
fof(f244,plain,
! [X0,X1] :
( ~ quotient(zQy,zero,X0)
| ~ quotient(zQx,y,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f84,f27]) ).
fof(f247,plain,
! [X0] :
( ~ quotient(zQx,y,X0)
| less_equal(divide(zQy,zero),X0) ),
inference(resolution,[status(thm)],[f244,f23]) ).
fof(f248,plain,
less_equal(divide(zQy,zero),divide(zQx,y)),
inference(resolution,[status(thm)],[f247,f23]) ).
fof(f249,plain,
quotient(divide(zQy,zero),divide(zQx,y),zero),
inference(resolution,[status(thm)],[f248,f14]) ).
fof(f259,plain,
divide(divide(zQy,zero),divide(zQx,y)) = zero,
inference(resolution,[status(thm)],[f249,f104]) ).
fof(f368,plain,
! [X0,X1,X2,X3] :
( ~ quotient(divide(X0,X1),zero,X2)
| ~ quotient(divide(X0,zero),X1,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f113,f23]) ).
fof(f528,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(divide(X0,X1),divide(X2,X1),X3)
| ~ quotient(divide(X0,X2),X1,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f118,f23]) ).
fof(f653,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,zero),X1,X2)
| less_equal(divide(divide(X0,X1),zero),X2) ),
inference(resolution,[status(thm)],[f368,f23]) ).
fof(f673,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(resolution,[status(thm)],[f653,f78]) ).
fof(f683,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[status(thm)],[f673,f50]) ).
fof(f705,plain,
! [X0] : quotient(divide(X0,X0),zero,zero),
inference(paramodulation,[status(thm)],[f683,f23]) ).
fof(f749,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(resolution,[status(thm)],[f705,f15]) ).
fof(f767,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[status(thm)],[f749,f50]) ).
fof(f818,plain,
! [X0] : quotient(X0,X0,zero),
inference(paramodulation,[status(thm)],[f767,f23]) ).
fof(f827,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(resolution,[status(thm)],[f818,f653]) ).
fof(f903,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[status(thm)],[f827,f50]) ).
fof(f935,plain,
! [X0] : quotient(divide(X0,divide(X0,zero)),zero,zero),
inference(paramodulation,[status(thm)],[f903,f23]) ).
fof(f937,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(resolution,[status(thm)],[f935,f15]) ).
fof(f960,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f937,f50]) ).
fof(f1001,plain,
! [X0] : quotient(X0,divide(X0,zero),zero),
inference(paramodulation,[status(thm)],[f960,f23]) ).
fof(f1031,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f1001,f15]) ).
fof(f1047,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[status(thm)],[f1031,f79]) ).
fof(f1083,plain,
divide(zQy,divide(zQx,y)) = zero,
inference(backward_demodulation,[status(thm)],[f1047,f259]) ).
fof(f2205,plain,
! [X0,X1,X2,X3] :
( ~ quotient(divide(X0,X1),X2,X3)
| less_equal(divide(divide(X0,X2),divide(X1,X2)),X3) ),
inference(resolution,[status(thm)],[f528,f23]) ).
fof(f2394,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(resolution,[status(thm)],[f2205,f23]) ).
fof(f2491,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)),
inference(paramodulation,[status(thm)],[f144,f2394]) ).
fof(f2492,plain,
! [X0,X1,X2] : less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)),
inference(forward_demodulation,[status(thm)],[f1047,f2491]) ).
fof(f3479,plain,
less_equal(divide(zQy,zQx),divide(zero,zQx)),
inference(paramodulation,[status(thm)],[f1083,f2492]) ).
fof(f3480,plain,
less_equal(divide(zQy,zQx),zero),
inference(forward_demodulation,[status(thm)],[f77,f3479]) ).
fof(f3556,plain,
zero = divide(zQy,zQx),
inference(resolution,[status(thm)],[f3480,f50]) ).
fof(f3613,plain,
quotient(zQy,zQx,zero),
inference(paramodulation,[status(thm)],[f3556,f23]) ).
fof(f3615,plain,
less_equal(zQy,zQx),
inference(resolution,[status(thm)],[f3613,f15]) ).
fof(f3616,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3615,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:15:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.53 % Refutation found
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.55 % Elapsed time: 0.194471 seconds
% 0.21/0.55 % CPU time: 1.467819 seconds
% 0.21/0.55 % Total memory used: 40.245 MB
% 0.21/0.55 % Net memory used: 38.277 MB
%------------------------------------------------------------------------------