TSTP Solution File: GRP202-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n017.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 20:19:44 EDT 2024
% Result : Unsatisfiable 14.44s 2.22s
% Output : CNFRefutation 15.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 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 : 6 ( 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 : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(X,identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(X,left_division(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : left_division(X,multiply(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : multiply(right_division(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : right_division(multiply(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : multiply(X,right_inverse(X)) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
file('/export/starexec/sandbox/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(f47,plain,
! [X0,X1] : right_division(X0,left_division(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f72,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,multiply(X0,identity))),
inference(paramodulation,[status(thm)],[f12,f19]) ).
fof(f73,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f72]) ).
fof(f88,plain,
! [X0,X1] : multiply(multiply(identity,X0),X1) = multiply(X0,multiply(right_inverse(X0),multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f89,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(right_inverse(X0),multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f88]) ).
fof(f90,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(left_division(X1,X0),multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f97,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(f98,plain,
! [X0,X1,X2] : right_division(multiply(X0,multiply(X1,multiply(X0,X2))),X2) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f73,f97]) ).
fof(f102,plain,
multiply(a,multiply(multiply(b,c),a)) != multiply(multiply(a,b),multiply(c,a)),
inference(backward_demodulation,[status(thm)],[f73,f20]) ).
fof(f1299,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = multiply(right_inverse(X0),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f89,f14]) ).
fof(f1300,plain,
! [X0,X1] : X0 = multiply(right_inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f1299]) ).
fof(f1331,plain,
! [X0,X1] : left_division(X0,X1) = multiply(right_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f13,f1300]) ).
fof(f1369,plain,
! [X0,X1] : left_division(right_inverse(X0),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1300,f14]) ).
fof(f1574,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = multiply(X1,multiply(left_division(X1,X0),identity)),
inference(paramodulation,[status(thm)],[f17,f90]) ).
fof(f1575,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = multiply(X1,left_division(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f1574]) ).
fof(f1576,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f1575]) ).
fof(f1637,plain,
! [X0,X1] : multiply(X0,right_inverse(X1)) = right_division(X0,X1),
inference(paramodulation,[status(thm)],[f15,f1576]) ).
fof(f1685,plain,
! [X0,X1] : right_division(X0,right_inverse(X1)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1576,f16]) ).
fof(f1791,plain,
! [X0,X1] : left_division(X0,right_inverse(X1)) = right_division(right_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f1331,f1637]) ).
fof(f1946,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,multiply(X0,right_inverse(X2)))),X2) = multiply(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f1685,f98]) ).
fof(f1947,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,right_division(X0,X2))),X2) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1637,f1946]) ).
fof(f2038,plain,
! [X0,X1] : left_division(X0,right_inverse(left_division(X1,right_inverse(X0)))) = X1,
inference(paramodulation,[status(thm)],[f47,f1791]) ).
fof(f2145,plain,
! [X0,X1] : multiply(X0,X1) = right_inverse(left_division(X1,right_inverse(X0))),
inference(paramodulation,[status(thm)],[f2038,f13]) ).
fof(f2166,plain,
! [X0,X1,X2] : right_division(X0,multiply(X1,X2)) = multiply(X0,left_division(X2,right_inverse(X1))),
inference(paramodulation,[status(thm)],[f2145,f1685]) ).
fof(f3953,plain,
! [X0,X1,X2] : right_division(X0,multiply(X1,right_inverse(X2))) = multiply(X0,multiply(X2,right_inverse(X1))),
inference(paramodulation,[status(thm)],[f1369,f2166]) ).
fof(f3954,plain,
! [X0,X1,X2] : right_division(X0,right_division(X1,X2)) = multiply(X0,multiply(X2,right_inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1637,f3953]) ).
fof(f3955,plain,
! [X0,X1,X2] : right_division(X0,right_division(X1,X2)) = multiply(X0,right_division(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1637,f3954]) ).
fof(f6600,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(right_division(X1,right_division(X0,X2)),X0)),
inference(paramodulation,[status(thm)],[f15,f1947]) ).
fof(f6601,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(multiply(X1,right_division(X2,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f3955,f6600]) ).
fof(f15282,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f16,f6601]) ).
fof(f15442,plain,
multiply(a,multiply(multiply(b,c),a)) != multiply(a,multiply(multiply(b,c),a)),
inference(backward_demodulation,[status(thm)],[f15282,f102]) ).
fof(f15443,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f15442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP202-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 00:05:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 14.44/2.22 % Refutation found
% 14.44/2.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.44/2.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.23/2.31 % Elapsed time: 1.949648 seconds
% 15.23/2.31 % CPU time: 15.147938 seconds
% 15.23/2.31 % Total memory used: 590.422 MB
% 15.23/2.31 % Net memory used: 586.351 MB
%------------------------------------------------------------------------------