TSTP Solution File: ANA133-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA133-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:11:56 EDT 2024
% Result : Unsatisfiable 224.69s 28.59s
% Output : CNFRefutation 227.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : '+'(X,Y) = '+'(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : '+'(X,'+'(Y,Z)) = '+'('+'(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : times(X,Y) = times(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : '+'(zero,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : times(one,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : '+'(X,minus(X)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
d(x) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [T,U] : d('+'(T,U)) = '+'(d(T),d(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [T,U] : d(times(T,U)) = '+'(times(T,d(U)),times(U,d(T))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [T] : d(sin(T)) = times(cos(T),d(T)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [T] : d(cos(T)) = minus(times(sin(T),d(T))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [T] : d(T) != times(x,cos(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] : times(X0,X1) = times(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
! [X0] : '+'(zero,X0) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : times(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] : '+'(X0,minus(X0)) = zero,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f29,plain,
d(x) = one,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0,X1] : d('+'(X0,X1)) = '+'(d(X0),d(X1)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f31,plain,
! [X0,X1] : d(times(X0,X1)) = '+'(times(X0,d(X1)),times(X1,d(X0))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f32,plain,
! [X0] : d(sin(X0)) = times(cos(X0),d(X0)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f33,plain,
! [X0] : d(cos(X0)) = minus(times(sin(X0),d(X0))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
! [X0] : d(X0) != times(x,cos(x)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f571,plain,
! [X0] : X0 = '+'(X0,zero),
inference(paramodulation,[status(thm)],[f22,f18]) ).
fof(f593,plain,
! [X0] : times(X0,one) = X0,
inference(paramodulation,[status(thm)],[f20,f24]) ).
fof(f662,plain,
! [X0,X1] : '+'(X0,'+'(minus(X0),X1)) = '+'(zero,X1),
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f663,plain,
! [X0,X1] : '+'(X0,'+'(minus(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f22,f662]) ).
fof(f912,plain,
! [X0] : '+'(X0,zero) = minus(minus(X0)),
inference(paramodulation,[status(thm)],[f26,f663]) ).
fof(f913,plain,
! [X0] : X0 = minus(minus(X0)),
inference(forward_demodulation,[status(thm)],[f571,f912]) ).
fof(f924,plain,
! [X0,X1] : '+'(minus(X0),'+'(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f913,f663]) ).
fof(f1024,plain,
! [X0,X1] : d(times(X0,X1)) = '+'(times(X1,d(X0)),times(X0,d(X1))),
inference(paramodulation,[status(thm)],[f18,f31]) ).
fof(f1025,plain,
! [X0,X1] : d(times(X0,X1)) = d(times(X1,X0)),
inference(forward_demodulation,[status(thm)],[f31,f1024]) ).
fof(f1051,plain,
! [X0] : d(times(X0,x)) = '+'(times(X0,one),times(x,d(X0))),
inference(paramodulation,[status(thm)],[f29,f31]) ).
fof(f1052,plain,
! [X0] : d(times(X0,x)) = '+'(X0,times(x,d(X0))),
inference(forward_demodulation,[status(thm)],[f593,f1051]) ).
fof(f1090,plain,
! [X0] : d(sin(X0)) = times(d(X0),cos(X0)),
inference(forward_demodulation,[status(thm)],[f20,f32]) ).
fof(f1095,plain,
d(sin(x)) = times(one,cos(x)),
inference(paramodulation,[status(thm)],[f29,f1090]) ).
fof(f1096,plain,
d(sin(x)) = cos(x),
inference(forward_demodulation,[status(thm)],[f24,f1095]) ).
fof(f1477,plain,
! [X0] : d(cos(X0)) = minus(times(d(X0),sin(X0))),
inference(forward_demodulation,[status(thm)],[f20,f33]) ).
fof(f1510,plain,
d(cos(x)) = minus(times(one,sin(x))),
inference(paramodulation,[status(thm)],[f29,f1477]) ).
fof(f1511,plain,
d(cos(x)) = minus(sin(x)),
inference(forward_demodulation,[status(thm)],[f24,f1510]) ).
fof(f3066,plain,
! [X0] : d('+'(cos(x),X0)) = '+'(minus(sin(x)),d(X0)),
inference(paramodulation,[status(thm)],[f1511,f30]) ).
fof(f3886,plain,
d(times(sin(x),x)) = '+'(sin(x),times(x,cos(x))),
inference(paramodulation,[status(thm)],[f1096,f1052]) ).
fof(f3887,plain,
d(times(x,sin(x))) = '+'(sin(x),times(x,cos(x))),
inference(forward_demodulation,[status(thm)],[f1025,f3886]) ).
fof(f341885,plain,
'+'(minus(sin(x)),d(times(x,sin(x)))) = times(x,cos(x)),
inference(paramodulation,[status(thm)],[f3887,f924]) ).
fof(f341886,plain,
d('+'(cos(x),times(x,sin(x)))) = times(x,cos(x)),
inference(forward_demodulation,[status(thm)],[f3066,f341885]) ).
fof(f341887,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f341886,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ANA133-1 : TPTP v8.1.2. Released v8.1.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 21:02:12 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 224.69/28.59 % Refutation found
% 224.69/28.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 224.69/28.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 228.73/29.20 % Elapsed time: 28.795577 seconds
% 228.73/29.20 % CPU time: 227.086812 seconds
% 228.73/29.20 % Total memory used: 2.119 GB
% 228.73/29.20 % Net memory used: 2.097 GB
%------------------------------------------------------------------------------