TSTP Solution File: GRP535-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:20:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,divide(divide(A,B),C)),B) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f16,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(divide(X0,divide(divide(X0,inverse(X1)),X2)),X1) = X2,
inference(paramodulation,[status(thm)],[f11,f6]) ).
fof(f23,plain,
! [X0,X1,X2] : multiply(divide(X0,divide(multiply(X0,X1),X2)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f11,f22]) ).
fof(f34,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f35,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f12,f34]) ).
fof(f36,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f11,f35]) ).
fof(f40,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f36]) ).
fof(f41,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f12,f40]) ).
fof(f42,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f15,f41]) ).
fof(f49,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f42,f21]) ).
fof(f52,plain,
! [X0] : divide(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f42,f36]) ).
fof(f54,plain,
! [X0,X1] : X0 = divide(X1,divide(divide(X1,identity),X0)),
inference(paramodulation,[status(thm)],[f6,f52]) ).
fof(f55,plain,
! [X0,X1] : X0 = divide(X1,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f52,f54]) ).
fof(f67,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f36,f55]) ).
fof(f72,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f55]) ).
fof(f82,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f11,f67]) ).
fof(f83,plain,
! [X0,X1] : X0 = multiply(divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f49,f82]) ).
fof(f96,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f36,f83]) ).
fof(f99,plain,
! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
inference(paramodulation,[status(thm)],[f55,f83]) ).
fof(f150,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f83,f72]) ).
fof(f153,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f99,f72]) ).
fof(f174,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f11,f153]) ).
fof(f226,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f150,f83]) ).
fof(f236,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
inference(paramodulation,[status(thm)],[f153,f226]) ).
fof(f251,plain,
! [X0,X1,X2] : divide(X0,divide(divide(multiply(X1,X0),X2),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f236,f23]) ).
fof(f372,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f174,f11]) ).
fof(f539,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f72,f251]) ).
fof(f540,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f372,f539]) ).
fof(f588,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f540,f10]) ).
fof(f824,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f96,f540]) ).
fof(f825,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f540,f824]) ).
fof(f826,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f588,f825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:22:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.031540 seconds
% 0.13/0.38 % CPU time: 0.165906 seconds
% 0.13/0.38 % Total memory used: 9.305 MB
% 0.13/0.38 % Net memory used: 9.026 MB
%------------------------------------------------------------------------------