TSTP Solution File: GRP451-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:20:40 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 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 : 9 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B,
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,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f7,f5]) ).
fof(f10,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f7,f9]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f13,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f15,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f17,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f21,plain,
! [X0,X1] : inverse(X0) = divide(inverse(multiply(inverse(X1),X1)),X0),
inference(paramodulation,[status(thm)],[f15,f7]) ).
fof(f24,plain,
! [X0,X1,X2] : divide(inverse(inverse(divide(X0,divide(inverse(multiply(inverse(X1),X1)),X2)))),X2) = X0,
inference(paramodulation,[status(thm)],[f15,f10]) ).
fof(f25,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f21,f24]) ).
fof(f26,plain,
! [X0,X1] : divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f11,f25]) ).
fof(f40,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1) = X0,
inference(paramodulation,[status(thm)],[f11,f26]) ).
fof(f63,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(inverse(inverse(X0))))),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f17,f40]) ).
fof(f65,plain,
! [X0,X1] : divide(inverse(inverse(X0)),X1) = inverse(inverse(multiply(X0,inverse(X1)))),
inference(paramodulation,[status(thm)],[f40,f26]) ).
fof(f66,plain,
! [X0,X1] : multiply(divide(inverse(inverse(X0)),X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f65,f40]) ).
fof(f68,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(paramodulation,[status(thm)],[f13,f66]) ).
fof(f72,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f68,f63]) ).
fof(f73,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.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 00:41:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.015738 seconds
% 0.13/0.36 % CPU time: 0.033863 seconds
% 0.13/0.36 % Total memory used: 2.809 MB
% 0.13/0.36 % Net memory used: 2.800 MB
%------------------------------------------------------------------------------