TSTP Solution File: GRP446-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP446-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:20:39 EDT 2024
% Result : Unsatisfiable 0.13s 0.30s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f10,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f7,f5]) ).
fof(f11,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f10]) ).
fof(f12,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f13,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f17,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f18,plain,
inverse(inverse(a2)) != a2,
inference(backward_demodulation,[status(thm)],[f17,f8]) ).
fof(f19,plain,
! [X0,X1,X2] : inverse(divide(divide(inverse(X0),X1),divide(inverse(divide(X2,X2)),X1))) = X0,
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f20,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f12,f19]) ).
fof(f21,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f9,f20]) ).
fof(f22,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f23,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f9,f22]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f9,f23]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2))))) = X3,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f36,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f24,f24]) ).
fof(f66,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f12,f21]) ).
fof(f106,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f66,f66]) ).
fof(f206,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(inverse(X0),inverse(divide(inverse(inverse(X2)),inverse(X1)))))) = X2,
inference(paramodulation,[status(thm)],[f7,f25]) ).
fof(f207,plain,
! [X0,X1,X2] : divide(X0,divide(X1,multiply(inverse(X0),divide(inverse(inverse(X2)),inverse(X1))))) = X2,
inference(forward_demodulation,[status(thm)],[f9,f206]) ).
fof(f208,plain,
! [X0,X1,X2] : divide(X0,divide(X1,multiply(inverse(X0),multiply(inverse(inverse(X2)),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f9,f207]) ).
fof(f209,plain,
! [X0,X1,X2] : divide(X0,divide(X1,multiply(inverse(X0),multiply(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f36,f208]) ).
fof(f221,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(X2,X2),divide(inverse(inverse(X3)),inverse(X1)))))) = X3,
inference(paramodulation,[status(thm)],[f106,f25]) ).
fof(f222,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(inverse(X0),inverse(divide(inverse(inverse(X2)),inverse(X1)))))) = X2,
inference(forward_demodulation,[status(thm)],[f7,f221]) ).
fof(f223,plain,
! [X0,X1,X2] : divide(X0,divide(X1,multiply(inverse(X0),divide(inverse(inverse(X2)),inverse(X1))))) = X2,
inference(forward_demodulation,[status(thm)],[f9,f222]) ).
fof(f224,plain,
! [X0,X1,X2] : divide(X0,divide(X1,multiply(inverse(X0),multiply(inverse(inverse(X2)),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f9,f223]) ).
fof(f225,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f209,f224]) ).
fof(f275,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f225,f18]) ).
fof(f276,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP446-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 01:02:58 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.13/0.30 % Drodi V3.6.0
% 0.13/0.30 % Refutation found
% 0.13/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.32 % Elapsed time: 0.014302 seconds
% 0.13/0.32 % CPU time: 0.049600 seconds
% 0.13/0.32 % Total memory used: 4.260 MB
% 0.13/0.32 % Net memory used: 4.227 MB
%------------------------------------------------------------------------------