TSTP Solution File: GRP465-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP465-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:20:42 EDT 2024
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = divide(identity,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,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f13,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(identity,X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f9,f12]) ).
fof(f14,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f13]) ).
fof(f15,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f25,plain,
! [X0] : divide(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f28,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(inverse(X1),X2),divide(inverse(X0),inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f29,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(inverse(X1),X2),multiply(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f11,f28]) ).
fof(f30,plain,
! [X0,X1] : divide(X0,divide(identity,divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f31,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f30]) ).
fof(f32,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f11,f31]) ).
fof(f33,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f11,f32]) ).
fof(f38,plain,
! [X0,X1] : divide(X0,divide(divide(inverse(X1),inverse(X0)),identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f39,plain,
! [X0,X1] : divide(X0,divide(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f25,f38]) ).
fof(f40,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f11,f39]) ).
fof(f53,plain,
! [X0] : multiply(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f15,f33]) ).
fof(f72,plain,
! [X0] : inverse(multiply(inverse(X0),identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f40]) ).
fof(f73,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f53,f72]) ).
fof(f79,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f33,f40]) ).
fof(f80,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f73,f79]) ).
fof(f87,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f73,f33]) ).
fof(f91,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f73,f11]) ).
fof(f98,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f11,f80]) ).
fof(f99,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f91,f98]) ).
fof(f173,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(inverse(X0),X1),multiply(inverse(X2),X1))) = X2,
inference(paramodulation,[status(thm)],[f29,f99]) ).
fof(f203,plain,
! [X0,X1] : multiply(inverse(X0),divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f91,f87]) ).
fof(f282,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(inverse(X0),divide(X1,X2)),inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f203,f173]) ).
fof(f283,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X0),divide(X1,X2)),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f11,f282]) ).
fof(f353,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(inverse(inverse(X0)),divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f283,f33]) ).
fof(f354,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X0,divide(X1,X2)),X2),
inference(forward_demodulation,[status(thm)],[f73,f353]) ).
fof(f378,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f80,f354]) ).
fof(f379,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP465-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 00:29:59 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41 % Elapsed time: 0.062094 seconds
% 0.20/0.41 % CPU time: 0.391464 seconds
% 0.20/0.41 % Total memory used: 16.045 MB
% 0.20/0.41 % Net memory used: 15.692 MB
%------------------------------------------------------------------------------