TSTP Solution File: GRP202-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP202-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Wed May 31 12:10:58 EDT 2023
% Result : Unsatisfiable 12.37s 2.34s
% Output : CNFRefutation 13.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 109 (; 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(X,identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(X,left_division(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : left_division(X,multiply(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : multiply(right_division(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : right_division(multiply(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : multiply(X,right_inverse(X)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(multiply(multiply(X,Y),X),Z) = multiply(X,multiply(Y,multiply(X,Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0] : multiply(X0,right_inverse(X0)) = identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X0),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
! [X0,X1] : left_division(right_division(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f34,plain,
! [X0,X1] : right_division(X0,left_division(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f63,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,multiply(X0,identity))),
inference(paramodulation,[status(thm)],[f12,f19]) ).
fof(f64,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f63]) ).
fof(f75,plain,
! [X0,X1,X2] : multiply(multiply(X0,right_division(X0,X1)),X2) = multiply(right_division(X0,X1),multiply(X1,multiply(right_division(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f79,plain,
! [X0,X1] : multiply(multiply(identity,X0),X1) = multiply(X0,multiply(right_inverse(X0),multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f80,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(right_inverse(X0),multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f79]) ).
fof(f88,plain,
! [X0,X1,X2] : right_division(multiply(X0,multiply(X1,multiply(X0,X2))),X2) = multiply(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f89,plain,
! [X0,X1,X2] : right_division(multiply(X0,multiply(X1,multiply(X0,X2))),X2) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f64,f88]) ).
fof(f93,plain,
multiply(a,multiply(multiply(b,c),a)) != multiply(multiply(a,b),multiply(c,a)),
inference(backward_demodulation,[status(thm)],[f64,f20]) ).
fof(f419,plain,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = multiply(X0,multiply(right_inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f13,f80]) ).
fof(f420,plain,
! [X0,X1] : X0 = multiply(X1,multiply(right_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f13,f419]) ).
fof(f453,plain,
! [X0] : right_inverse(right_inverse(X0)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f17,f420]) ).
fof(f454,plain,
! [X0] : right_inverse(right_inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f12,f453]) ).
fof(f455,plain,
! [X0,X1] : left_division(right_inverse(X0),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f13,f420]) ).
fof(f469,plain,
! [X0,X1] : left_division(X0,X1) = multiply(right_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f420,f14]) ).
fof(f577,plain,
! [X0,X1] : right_division(left_division(X0,X1),X1) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f469,f16]) ).
fof(f607,plain,
! [X0,X1] : right_division(X0,multiply(X1,X0)) = right_inverse(X1),
inference(paramodulation,[status(thm)],[f455,f34]) ).
fof(f799,plain,
! [X0,X1] : right_division(X0,X1) = right_inverse(right_division(X1,X0)),
inference(paramodulation,[status(thm)],[f30,f577]) ).
fof(f919,plain,
! [X0,X1] : multiply(multiply(X0,right_division(X0,X1)),right_inverse(right_division(X0,X1))) = multiply(right_division(X0,X1),multiply(X1,identity)),
inference(paramodulation,[status(thm)],[f17,f75]) ).
fof(f920,plain,
! [X0,X1] : multiply(multiply(X0,right_division(X0,X1)),right_division(X1,X0)) = multiply(right_division(X0,X1),multiply(X1,identity)),
inference(forward_demodulation,[status(thm)],[f799,f919]) ).
fof(f921,plain,
! [X0,X1] : multiply(multiply(X0,right_division(X0,X1)),right_division(X1,X0)) = multiply(right_division(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f12,f920]) ).
fof(f922,plain,
! [X0,X1] : multiply(multiply(X0,right_division(X0,X1)),right_division(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f15,f921]) ).
fof(f1177,plain,
! [X0,X1] : multiply(multiply(X0,right_inverse(X1)),right_division(multiply(X1,X0),X0)) = X0,
inference(paramodulation,[status(thm)],[f607,f922]) ).
fof(f1178,plain,
! [X0,X1] : multiply(multiply(X0,right_inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f16,f1177]) ).
fof(f1257,plain,
! [X0,X1] : multiply(left_division(X0,right_inverse(X1)),X1) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f469,f1178]) ).
fof(f1268,plain,
! [X0,X1] : multiply(X0,X1) = right_division(X0,right_inverse(X1)),
inference(paramodulation,[status(thm)],[f15,f1178]) ).
fof(f1640,plain,
! [X0,X1] : right_division(X0,right_inverse(X1)) = right_inverse(left_division(X1,right_inverse(X0))),
inference(paramodulation,[status(thm)],[f1257,f607]) ).
fof(f1641,plain,
! [X0,X1] : multiply(X0,X1) = right_inverse(left_division(X1,right_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1268,f1640]) ).
fof(f1722,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,right_inverse(X2))) = right_division(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f1641,f1268]) ).
fof(f1786,plain,
! [X0,X1,X2] : right_division(multiply(X0,X1),X2) = multiply(X0,multiply(right_division(X1,multiply(X0,X2)),X0)),
inference(paramodulation,[status(thm)],[f15,f89]) ).
fof(f3071,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,X2)) = right_division(X0,multiply(right_inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f454,f1722]) ).
fof(f3072,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,X2)) = right_division(X0,left_division(X2,X1)),
inference(forward_demodulation,[status(thm)],[f469,f3071]) ).
fof(f6211,plain,
! [X0,X1,X2] : right_division(multiply(X0,X1),left_division(X0,X2)) = multiply(X0,multiply(right_division(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f13,f1786]) ).
fof(f6212,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),left_division(X2,X0)) = multiply(X0,multiply(right_division(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f3072,f6211]) ).
fof(f11067,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(right_division(X1,right_inverse(X2)),X0)),
inference(paramodulation,[status(thm)],[f455,f6212]) ).
fof(f11068,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f1268,f11067]) ).
fof(f11209,plain,
multiply(a,multiply(multiply(b,c),a)) != multiply(a,multiply(multiply(b,c),a)),
inference(backward_demodulation,[status(thm)],[f11068,f93]) ).
fof(f11210,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f11209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP202-1 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 12:02:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 12.37/2.34 % Refutation found
% 12.37/2.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.37/2.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.25/2.43 % Elapsed time: 2.081186 seconds
% 13.25/2.43 % CPU time: 13.138184 seconds
% 13.25/2.43 % Memory used: 256.075 MB
%------------------------------------------------------------------------------