TSTP Solution File: GRP201-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP201-1 : TPTP v8.1.2. Released v2.2.0.
% 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 20:19:44 EDT 2024
% Result : Unsatisfiable 108.80s 14.03s
% Output : CNFRefutation 110.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 10
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 244 ( 244 !; 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(f8,axiom,
! [X] : multiply(left_inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(multiply(multiply(X,Y),Z),Y) = multiply(X,multiply(Y,multiply(Z,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
multiply(multiply(multiply(a,b),a),c) != multiply(a,multiply(b,multiply(a,c))),
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(f18,plain,
! [X0] : multiply(left_inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),X1) = multiply(X0,multiply(X1,multiply(X2,X1))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
multiply(multiply(multiply(a,b),a),c) != multiply(a,multiply(b,multiply(a,c))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f31,plain,
! [X0,X1] : left_division(right_division(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f34,plain,
! [X0] : right_division(X0,X0) = identity,
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f35,plain,
! [X0,X1] : right_division(X0,left_division(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f41,plain,
! [X0] : left_division(X0,identity) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f62,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(X0,multiply(right_inverse(multiply(X1,X0)),X0))),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f63,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X0,multiply(right_inverse(multiply(X1,X0)),X0))),
inference(forward_demodulation,[status(thm)],[f11,f62]) ).
fof(f65,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,multiply(identity,X1))),
inference(paramodulation,[status(thm)],[f12,f19]) ).
fof(f66,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(forward_demodulation,[status(thm)],[f11,f65]) ).
fof(f68,plain,
! [X0,X1] : multiply(multiply(identity,X0),X1) = multiply(left_inverse(X1),multiply(X1,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f69,plain,
! [X0,X1] : multiply(X0,X1) = multiply(left_inverse(X1),multiply(X1,multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f68]) ).
fof(f70,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(right_division(X0,X2),multiply(X2,multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f71,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(identity,multiply(X0,multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f11,f19]) ).
fof(f72,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f11,f71]) ).
fof(f82,plain,
! [X0,X1,X2] : right_division(multiply(X0,multiply(X1,multiply(X2,X1))),X1) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f90,plain,
! [X0] : multiply(identity,X0) = multiply(left_inverse(X0),multiply(X0,X0)),
inference(paramodulation,[status(thm)],[f18,f66]) ).
fof(f91,plain,
! [X0] : X0 = multiply(left_inverse(X0),multiply(X0,X0)),
inference(forward_demodulation,[status(thm)],[f11,f90]) ).
fof(f143,plain,
! [X0,X1] : right_division(multiply(X0,multiply(X1,X0)),X0) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f72,f16]) ).
fof(f164,plain,
multiply(multiply(a,multiply(b,a)),c) != multiply(a,multiply(b,multiply(a,c))),
inference(forward_demodulation,[status(thm)],[f72,f20]) ).
fof(f202,plain,
! [X0] : right_division(multiply(multiply(X0,X0),X0),multiply(X0,X0)) = multiply(multiply(X0,X0),left_inverse(X0)),
inference(paramodulation,[status(thm)],[f91,f143]) ).
fof(f203,plain,
! [X0] : right_division(multiply(X0,multiply(X0,X0)),multiply(X0,X0)) = multiply(multiply(X0,X0),left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f72,f202]) ).
fof(f204,plain,
! [X0] : X0 = multiply(multiply(X0,X0),left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f16,f203]) ).
fof(f205,plain,
! [X0] : right_division(multiply(X0,identity),X0) = multiply(X0,left_inverse(X0)),
inference(paramodulation,[status(thm)],[f18,f143]) ).
fof(f206,plain,
! [X0] : right_division(X0,X0) = multiply(X0,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f12,f205]) ).
fof(f207,plain,
! [X0] : identity = multiply(X0,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f34,f206]) ).
fof(f208,plain,
! [X0,X1] : right_division(multiply(X0,X1),X0) = multiply(X0,right_division(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f143]) ).
fof(f211,plain,
! [X0] : right_division(multiply(right_inverse(X0),identity),right_inverse(X0)) = multiply(right_inverse(X0),X0),
inference(paramodulation,[status(thm)],[f17,f143]) ).
fof(f212,plain,
! [X0] : right_division(right_inverse(X0),right_inverse(X0)) = multiply(right_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f12,f211]) ).
fof(f213,plain,
! [X0] : identity = multiply(right_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f34,f212]) ).
fof(f237,plain,
! [X0] : left_division(X0,identity) = left_inverse(X0),
inference(paramodulation,[status(thm)],[f207,f14]) ).
fof(f238,plain,
! [X0] : right_inverse(X0) = left_inverse(X0),
inference(forward_demodulation,[status(thm)],[f41,f237]) ).
fof(f261,plain,
! [X0] : left_division(right_inverse(X0),identity) = X0,
inference(paramodulation,[status(thm)],[f213,f14]) ).
fof(f262,plain,
! [X0] : right_inverse(right_inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f41,f261]) ).
fof(f267,plain,
! [X0] : X0 = multiply(multiply(X0,X0),right_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f238,f204]) ).
fof(f284,plain,
! [X0] : left_division(multiply(X0,X0),X0) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f267,f14]) ).
fof(f1709,plain,
! [X0,X1] : multiply(X0,X1) = multiply(right_inverse(X1),multiply(X1,multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f238,f69]) ).
fof(f1766,plain,
! [X0,X1] : multiply(right_division(X0,X1),X1) = multiply(right_inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f1709]) ).
fof(f1767,plain,
! [X0,X1] : X0 = multiply(right_inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f15,f1766]) ).
fof(f1855,plain,
! [X0,X1] : left_division(X0,X1) = multiply(right_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f13,f1767]) ).
fof(f1911,plain,
! [X0,X1] : left_division(right_inverse(X0),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1767,f14]) ).
fof(f1913,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X0,left_division(multiply(X1,X0),X0))),
inference(backward_demodulation,[status(thm)],[f1855,f63]) ).
fof(f2015,plain,
! [X0,X1] : multiply(left_division(X0,X1),X1) = multiply(right_inverse(X0),multiply(X1,X1)),
inference(paramodulation,[status(thm)],[f1855,f66]) ).
fof(f2016,plain,
! [X0,X1] : multiply(left_division(X0,X1),X1) = left_division(X0,multiply(X1,X1)),
inference(forward_demodulation,[status(thm)],[f1855,f2015]) ).
fof(f2100,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = multiply(right_division(X0,right_inverse(X1)),multiply(right_inverse(X1),identity)),
inference(paramodulation,[status(thm)],[f17,f70]) ).
fof(f2101,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = multiply(right_division(X0,right_inverse(X1)),left_division(X1,identity)),
inference(forward_demodulation,[status(thm)],[f1855,f2100]) ).
fof(f2102,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = multiply(right_division(X0,right_inverse(X1)),right_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f41,f2101]) ).
fof(f2103,plain,
! [X0,X1] : multiply(multiply(X0,X1),right_inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f15,f2102]) ).
fof(f2155,plain,
! [X0,X1] : multiply(X0,right_inverse(X1)) = right_division(X0,X1),
inference(paramodulation,[status(thm)],[f15,f2103]) ).
fof(f2230,plain,
! [X0,X1] : left_division(X0,right_inverse(X1)) = right_division(right_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f1855,f2155]) ).
fof(f2386,plain,
! [X0,X1] : multiply(right_division(X0,X1),X0) = multiply(X0,multiply(right_inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f2155,f72]) ).
fof(f2387,plain,
! [X0,X1] : multiply(right_division(X0,X1),X0) = multiply(X0,left_division(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1855,f2386]) ).
fof(f2493,plain,
! [X0,X1] : multiply(left_division(X0,right_inverse(X1)),X1) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f2230,f15]) ).
fof(f3226,plain,
! [X0,X1] : multiply(X0,right_division(multiply(X0,multiply(X1,X0)),X0)) = multiply(multiply(X0,X0),X1),
inference(paramodulation,[status(thm)],[f208,f82]) ).
fof(f3227,plain,
! [X0,X1] : multiply(X0,multiply(X0,right_division(multiply(X1,X0),X0))) = multiply(multiply(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f208,f3226]) ).
fof(f3228,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(multiply(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f16,f3227]) ).
fof(f3400,plain,
! [X0,X1] : multiply(X0,multiply(X0,right_inverse(X1))) = right_division(multiply(X0,X0),X1),
inference(paramodulation,[status(thm)],[f2155,f3228]) ).
fof(f3401,plain,
! [X0,X1] : multiply(X0,right_division(X0,X1)) = right_division(multiply(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f2155,f3400]) ).
fof(f3621,plain,
! [X0,X1] : left_division(multiply(X0,right_division(X0,X1)),multiply(X0,X0)) = X1,
inference(paramodulation,[status(thm)],[f3401,f31]) ).
fof(f3622,plain,
! [X0,X1] : multiply(left_division(multiply(X0,right_division(X0,X1)),X0),X0) = X1,
inference(forward_demodulation,[status(thm)],[f2016,f3621]) ).
fof(f4127,plain,
! [X0,X1] : left_division(X0,X1) = multiply(X1,left_division(multiply(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f1913,f14]) ).
fof(f4176,plain,
! [X0,X1] : multiply(left_division(multiply(X0,X1),X0),X0) = left_division(X1,X0),
inference(paramodulation,[status(thm)],[f35,f3622]) ).
fof(f4547,plain,
! [X0,X1] : multiply(left_division(X0,X1),X1) = left_division(left_division(X1,X0),X1),
inference(paramodulation,[status(thm)],[f13,f4176]) ).
fof(f4874,plain,
! [X0,X1] : multiply(multiply(left_division(X0,right_inverse(X1)),right_inverse(X1)),X1) = right_inverse(left_division(right_inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f4547,f2493]) ).
fof(f4875,plain,
! [X0,X1] : multiply(right_division(left_division(X0,right_inverse(X1)),X1),X1) = right_inverse(left_division(right_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2155,f4874]) ).
fof(f4876,plain,
! [X0,X1] : left_division(X0,right_inverse(X1)) = right_inverse(left_division(right_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f15,f4875]) ).
fof(f4877,plain,
! [X0,X1] : left_division(X0,right_inverse(X1)) = right_inverse(multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1911,f4876]) ).
fof(f4901,plain,
! [X0,X1] : right_division(X0,multiply(left_division(X1,X0),X0)) = left_division(X0,X1),
inference(paramodulation,[status(thm)],[f4547,f35]) ).
fof(f5114,plain,
! [X0,X1] : left_division(X0,right_inverse(right_inverse(X1))) = right_inverse(left_division(X1,X0)),
inference(paramodulation,[status(thm)],[f1855,f4877]) ).
fof(f5115,plain,
! [X0,X1] : left_division(X0,X1) = right_inverse(left_division(X1,X0)),
inference(forward_demodulation,[status(thm)],[f262,f5114]) ).
fof(f5178,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,right_inverse(X2))) = right_division(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f4877,f2155]) ).
fof(f5180,plain,
! [X0,X1,X2] : left_division(multiply(X0,X1),X2) = multiply(left_division(X1,right_inverse(X0)),X2),
inference(paramodulation,[status(thm)],[f4877,f1855]) ).
fof(f5268,plain,
! [X0,X1] : multiply(left_division(X0,X1),X0) = multiply(X0,left_division(multiply(left_division(X1,X0),X0),X0)),
inference(paramodulation,[status(thm)],[f4901,f2387]) ).
fof(f5269,plain,
! [X0,X1] : multiply(left_division(X0,X1),X0) = left_division(left_division(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f4127,f5268]) ).
fof(f5362,plain,
! [X0,X1] : right_division(X0,multiply(left_division(X0,X1),X0)) = left_division(X1,X0),
inference(paramodulation,[status(thm)],[f5269,f35]) ).
fof(f5425,plain,
! [X0,X1] : right_division(X0,multiply(X1,X0)) = left_division(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f5362]) ).
fof(f8660,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,right_inverse(X2))) = right_division(X0,multiply(X2,right_inverse(X1))),
inference(paramodulation,[status(thm)],[f1911,f5178]) ).
fof(f8661,plain,
! [X0,X1,X2] : multiply(X0,right_division(X1,X2)) = right_division(X0,multiply(X2,right_inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2155,f8660]) ).
fof(f8662,plain,
! [X0,X1,X2] : multiply(X0,right_division(X1,X2)) = right_division(X0,right_division(X2,X1)),
inference(forward_demodulation,[status(thm)],[f2155,f8661]) ).
fof(f8699,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,X2)) = right_division(X0,multiply(right_inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f262,f5178]) ).
fof(f8700,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,X2)) = right_division(X0,left_division(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1855,f8699]) ).
fof(f9299,plain,
! [X0,X1,X2] : multiply(X0,right_division(X1,multiply(X2,X1))) = right_division(X0,X2),
inference(paramodulation,[status(thm)],[f16,f8662]) ).
fof(f9300,plain,
! [X0,X1,X2] : multiply(X0,left_division(multiply(X1,X2),X1)) = right_division(X0,X2),
inference(forward_demodulation,[status(thm)],[f5425,f9299]) ).
fof(f9703,plain,
! [X0,X1,X2] : left_division(multiply(X0,left_division(X1,X2)),X0) = left_division(X2,X1),
inference(paramodulation,[status(thm)],[f8700,f31]) ).
fof(f10987,plain,
! [X0,X1] : left_division(right_division(left_division(multiply(X0,X1),X0),X1),left_division(multiply(X0,X1),X0)) = right_inverse(left_division(multiply(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f9300,f284]) ).
fof(f10988,plain,
! [X0,X1] : X0 = right_inverse(left_division(multiply(X1,X0),X1)),
inference(forward_demodulation,[status(thm)],[f31,f10987]) ).
fof(f11095,plain,
! [X0,X1,X2] : left_division(X0,X1) = multiply(left_division(multiply(X2,X0),X2),X1),
inference(paramodulation,[status(thm)],[f10988,f1911]) ).
fof(f11773,plain,
! [X0,X1,X2] : multiply(left_division(X0,X1),X2) = left_division(left_division(X1,X0),X2),
inference(paramodulation,[status(thm)],[f9703,f4176]) ).
fof(f12508,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,left_division(multiply(X1,X2),X1)),X3) = multiply(right_division(X0,X3),multiply(X3,left_division(X2,X3))),
inference(paramodulation,[status(thm)],[f11095,f70]) ).
fof(f12509,plain,
! [X0,X1,X2] : multiply(right_division(X0,X1),X2) = multiply(right_division(X0,X2),multiply(X2,left_division(X1,X2))),
inference(forward_demodulation,[status(thm)],[f9300,f12508]) ).
fof(f64067,plain,
! [X0,X1,X2] : multiply(right_division(right_inverse(X0),X1),X2) = multiply(left_division(X0,right_inverse(X2)),multiply(X2,left_division(X1,X2))),
inference(paramodulation,[status(thm)],[f2230,f12509]) ).
fof(f64068,plain,
! [X0,X1,X2] : multiply(left_division(X0,right_inverse(X1)),X2) = multiply(left_division(X0,right_inverse(X2)),multiply(X2,left_division(X1,X2))),
inference(forward_demodulation,[status(thm)],[f2230,f64067]) ).
fof(f64069,plain,
! [X0,X1,X2] : left_division(multiply(X0,X1),X2) = multiply(left_division(X1,right_inverse(X2)),multiply(X2,left_division(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5180,f64068]) ).
fof(f64070,plain,
! [X0,X1,X2] : left_division(multiply(X0,X1),X2) = left_division(multiply(X2,X1),multiply(X2,left_division(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5180,f64069]) ).
fof(f87555,plain,
! [X0,X1,X2] : left_division(multiply(X0,left_division(X1,X2)),X1) = left_division(X2,multiply(X1,left_division(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f64070]) ).
fof(f97893,plain,
! [X0,X1,X2] : left_division(X0,multiply(X1,left_division(X0,X2))) = right_inverse(left_division(X2,multiply(X0,left_division(X1,X0)))),
inference(paramodulation,[status(thm)],[f87555,f5115]) ).
fof(f97894,plain,
! [X0,X1,X2] : left_division(X0,multiply(X1,left_division(X0,X2))) = left_division(multiply(X0,left_division(X1,X0)),X2),
inference(forward_demodulation,[status(thm)],[f5115,f97893]) ).
fof(f111904,plain,
! [X0,X1,X2] : left_division(right_inverse(X0),multiply(X1,left_division(right_inverse(X0),X2))) = left_division(left_division(X0,left_division(X1,right_inverse(X0))),X2),
inference(paramodulation,[status(thm)],[f1855,f97894]) ).
fof(f111905,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,left_division(right_inverse(X0),X2))) = left_division(left_division(X0,left_division(X1,right_inverse(X0))),X2),
inference(forward_demodulation,[status(thm)],[f1911,f111904]) ).
fof(f111906,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,X2))) = left_division(left_division(X0,left_division(X1,right_inverse(X0))),X2),
inference(forward_demodulation,[status(thm)],[f1911,f111905]) ).
fof(f111907,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(left_division(left_division(X1,right_inverse(X0)),X0),X2),
inference(forward_demodulation,[status(thm)],[f11773,f111906]) ).
fof(f111908,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(left_division(right_inverse(X0),X1),X0),X2),
inference(forward_demodulation,[status(thm)],[f11773,f111907]) ).
fof(f111909,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(multiply(X0,X1),X0),X2),
inference(forward_demodulation,[status(thm)],[f1911,f111908]) ).
fof(f111910,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(X0,multiply(X1,X0)),X2),
inference(forward_demodulation,[status(thm)],[f72,f111909]) ).
fof(f123260,plain,
multiply(a,multiply(b,multiply(a,c))) != multiply(a,multiply(b,multiply(a,c))),
inference(backward_demodulation,[status(thm)],[f111910,f164]) ).
fof(f123261,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f123260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP201-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:11:11 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 108.80/14.03 % Refutation found
% 108.80/14.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 108.80/14.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 110.78/14.28 % Elapsed time: 13.927576 seconds
% 110.78/14.28 % CPU time: 110.240149 seconds
% 110.78/14.28 % Total memory used: 1.720 GB
% 110.78/14.28 % Net memory used: 1.687 GB
%------------------------------------------------------------------------------