TSTP Solution File: GRP095-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP095-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:19:12 EDT 2024
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 9
% Syntax : Number of formulae : 137 ( 112 unt; 0 def)
% Number of atoms : 168 ( 133 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 242 ( 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,divide(identity,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = divide(identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = divide(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
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(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f25,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f26,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f24]) ).
fof(f29,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f32,plain,
! [X0,X1,X2] : divide(multiply(identity,X0),divide(divide(divide(X1,inverse(X0)),X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f33,plain,
! [X0,X1,X2] : divide(multiply(identity,X0),divide(divide(multiply(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f24,f32]) ).
fof(f35,plain,
! [X0,X1,X2] : divide(inverse(X0),multiply(divide(divide(inverse(X1),X0),X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f24,f25]) ).
fof(f37,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(multiply(divide(X1,X0),X2),X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f24,f25]) ).
fof(f40,plain,
! [X0,X1] : divide(inverse(X0),divide(divide(inverse(X0),X1),identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f25]) ).
fof(f56,plain,
! [X0,X1] : divide(inverse(X0),divide(X1,identity)) = divide(divide(inverse(X0),X1),identity),
inference(paramodulation,[status(thm)],[f40,f40]) ).
fof(f57,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(X1,identity)) = divide(divide(divide(X2,X0),X1),X2),
inference(paramodulation,[status(thm)],[f25,f40]) ).
fof(f59,plain,
! [X0,X1] : divide(inverse(X0),divide(multiply(inverse(X0),X1),identity)) = inverse(X1),
inference(paramodulation,[status(thm)],[f24,f40]) ).
fof(f67,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X0),divide(X1,identity))) = X1,
inference(backward_demodulation,[status(thm)],[f56,f40]) ).
fof(f79,plain,
! [X0] : divide(inverse(X0),divide(inverse(X0),inverse(identity))) = identity,
inference(paramodulation,[status(thm)],[f8,f67]) ).
fof(f80,plain,
! [X0] : divide(inverse(X0),multiply(inverse(X0),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f24,f79]) ).
fof(f89,plain,
! [X0,X1,X2] : divide(multiply(identity,X0),multiply(divide(multiply(multiply(identity,X1),X0),X2),inverse(X1))) = X2,
inference(paramodulation,[status(thm)],[f29,f33]) ).
fof(f101,plain,
! [X0,X1,X2] : divide(inverse(X0),multiply(multiply(divide(inverse(X1),X0),X2),X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f24,f35]) ).
fof(f103,plain,
! [X0,X1] : divide(inverse(multiply(inverse(X0),identity)),multiply(divide(identity,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f80,f35]) ).
fof(f104,plain,
! [X0,X1] : divide(inverse(multiply(inverse(X0),identity)),multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f103]) ).
fof(f121,plain,
! [X0,X1] : divide(inverse(multiply(inverse(X0),identity)),divide(multiply(identity,X1),inverse(X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f80,f37]) ).
fof(f122,plain,
! [X0,X1] : divide(inverse(multiply(inverse(X0),identity)),multiply(multiply(identity,X1),X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f24,f121]) ).
fof(f144,plain,
! [X0,X1,X2] : divide(inverse(divide(multiply(inverse(X0),X1),identity)),multiply(divide(inverse(X1),X2),X0)) = X2,
inference(paramodulation,[status(thm)],[f59,f35]) ).
fof(f149,plain,
identity = multiply(inverse(identity),identity),
inference(paramodulation,[status(thm)],[f80,f104]) ).
fof(f159,plain,
! [X0,X1] : divide(inverse(multiply(inverse(X0),identity)),divide(multiply(inverse(X1),X0),identity)) = divide(X1,identity),
inference(paramodulation,[status(thm)],[f104,f56]) ).
fof(f168,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),identity)) = divide(multiply(inverse(X0),X1),identity),
inference(paramodulation,[status(thm)],[f24,f56]) ).
fof(f177,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(X1,identity)) = multiply(divide(divide(inverse(X2),X0),X1),X2),
inference(paramodulation,[status(thm)],[f24,f57]) ).
fof(f188,plain,
! [X0,X1,X2] : divide(inverse(identity),divide(X0,identity)) = divide(divide(divide(inverse(X1),divide(X2,identity)),X0),divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f56,f57]) ).
fof(f192,plain,
! [X0,X1,X2] : divide(inverse(multiply(inverse(X0),X1)),divide(X2,identity)) = divide(divide(X0,X2),inverse(multiply(inverse(X1),identity))),
inference(paramodulation,[status(thm)],[f104,f57]) ).
fof(f193,plain,
! [X0,X1,X2] : divide(inverse(multiply(inverse(X0),X1)),divide(X2,identity)) = multiply(divide(X0,X2),multiply(inverse(X1),identity)),
inference(forward_demodulation,[status(thm)],[f24,f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3] : divide(inverse(multiply(divide(divide(inverse(X0),X1),X2),X0)),divide(X3,identity)) = divide(divide(X2,X3),inverse(X1)),
inference(paramodulation,[status(thm)],[f35,f57]) ).
fof(f195,plain,
! [X0,X1,X2] : divide(inverse(divide(inverse(X0),divide(X1,identity))),divide(X2,identity)) = divide(divide(X1,X2),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f177,f194]) ).
fof(f196,plain,
! [X0,X1,X2] : divide(inverse(divide(inverse(X0),divide(X1,identity))),divide(X2,identity)) = multiply(divide(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f24,f195]) ).
fof(f197,plain,
! [X0,X1] : divide(inverse(multiply(inverse(X0),identity)),divide(X1,identity)) = divide(divide(identity,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f80,f57]) ).
fof(f198,plain,
! [X0,X1] : multiply(divide(X0,X1),multiply(inverse(identity),identity)) = divide(divide(identity,X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f193,f197]) ).
fof(f199,plain,
! [X0,X1] : multiply(divide(X0,X1),identity) = divide(divide(identity,X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f149,f198]) ).
fof(f200,plain,
! [X0,X1] : multiply(divide(X0,X1),identity) = multiply(divide(identity,X1),X0),
inference(forward_demodulation,[status(thm)],[f24,f199]) ).
fof(f201,plain,
! [X0,X1] : multiply(divide(X0,X1),identity) = multiply(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f8,f200]) ).
fof(f202,plain,
! [X0,X1,X2] : divide(inverse(divide(multiply(inverse(X0),X1),identity)),divide(X2,identity)) = divide(divide(inverse(X1),X2),inverse(X0)),
inference(paramodulation,[status(thm)],[f59,f57]) ).
fof(f203,plain,
! [X0,X1,X2] : divide(inverse(divide(multiply(inverse(X0),X1),identity)),divide(X2,identity)) = multiply(divide(inverse(X1),X2),X0),
inference(forward_demodulation,[status(thm)],[f24,f202]) ).
fof(f230,plain,
! [X0,X1] : multiply(divide(X0,multiply(inverse(X1),X0)),multiply(inverse(identity),identity)) = divide(X1,identity),
inference(backward_demodulation,[status(thm)],[f193,f159]) ).
fof(f231,plain,
! [X0,X1] : multiply(divide(X0,multiply(inverse(X1),X0)),identity) = divide(X1,identity),
inference(forward_demodulation,[status(thm)],[f149,f230]) ).
fof(f232,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X1)),X1) = divide(X0,identity),
inference(forward_demodulation,[status(thm)],[f201,f231]) ).
fof(f233,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f247,plain,
! [X0,X1] : divide(inverse(X0),divide(X1,identity)) = divide(divide(identity,X1),X0),
inference(paramodulation,[status(thm)],[f9,f57]) ).
fof(f248,plain,
! [X0,X1] : divide(inverse(X0),divide(X1,identity)) = divide(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f8,f247]) ).
fof(f249,plain,
! [X0,X1,X2] : divide(identity,divide(X0,identity)) = divide(divide(divide(inverse(X1),divide(X2,identity)),X0),divide(inverse(X1),X2)),
inference(backward_demodulation,[status(thm)],[f233,f188]) ).
fof(f250,plain,
! [X0,X1,X2] : inverse(divide(X0,identity)) = divide(divide(divide(inverse(X1),divide(X2,identity)),X0),divide(inverse(X1),X2)),
inference(forward_demodulation,[status(thm)],[f8,f249]) ).
fof(f251,plain,
! [X0] : inverse(divide(X0,identity)) = divide(inverse(identity),divide(X0,identity)),
inference(forward_demodulation,[status(thm)],[f188,f250]) ).
fof(f252,plain,
! [X0] : inverse(divide(X0,identity)) = divide(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f248,f251]) ).
fof(f262,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f248,f67]) ).
fof(f265,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(multiply(inverse(X1),X2),identity)) = multiply(divide(inverse(X2),X0),X1),
inference(backward_demodulation,[status(thm)],[f248,f203]) ).
fof(f266,plain,
! [X0,X1,X2] : divide(inverse(multiply(inverse(X0),X1)),X2) = multiply(divide(inverse(X1),X2),X0),
inference(forward_demodulation,[status(thm)],[f248,f265]) ).
fof(f267,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(inverse(X1),divide(X2,identity))) = multiply(divide(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f248,f196]) ).
fof(f268,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(inverse(X1),X2)) = multiply(divide(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f248,f267]) ).
fof(f269,plain,
! [X0,X1] : divide(inverse(inverse(X0)),X1) = divide(multiply(inverse(X1),X0),identity),
inference(backward_demodulation,[status(thm)],[f248,f168]) ).
fof(f270,plain,
! [X0,X1] : divide(multiply(identity,X0),X1) = divide(multiply(inverse(X1),X0),identity),
inference(forward_demodulation,[status(thm)],[f26,f269]) ).
fof(f294,plain,
! [X0,X1,X2] : divide(divide(inverse(multiply(inverse(X0),X1)),identity),multiply(divide(inverse(X1),X2),X0)) = X2,
inference(backward_demodulation,[status(thm)],[f252,f144]) ).
fof(f295,plain,
! [X0,X1,X2] : divide(multiply(divide(inverse(X0),identity),X1),multiply(divide(inverse(X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f266,f294]) ).
fof(f299,plain,
! [X0,X1] : multiply(divide(inverse(identity),multiply(inverse(X0),X1)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f266,f104]) ).
fof(f300,plain,
! [X0,X1] : multiply(divide(identity,multiply(inverse(X0),X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f233,f299]) ).
fof(f301,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f300]) ).
fof(f302,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f232,f301]) ).
fof(f303,plain,
! [X0,X1] : multiply(divide(inverse(identity),multiply(multiply(identity,X0),X1)),X1) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f266,f122]) ).
fof(f304,plain,
! [X0,X1] : multiply(divide(identity,multiply(multiply(identity,X0),X1)),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f233,f303]) ).
fof(f305,plain,
! [X0,X1] : multiply(inverse(multiply(multiply(identity,X0),X1)),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f304]) ).
fof(f309,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f268,f262]) ).
fof(f312,plain,
! [X0,X1,X2] : divide(multiply(inverse(X0),X1),multiply(divide(inverse(X0),X2),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f302,f295]) ).
fof(f318,plain,
! [X0,X1] : divide(multiply(identity,X0),X1) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f302,f270]) ).
fof(f340,plain,
! [X0,X1,X2] : multiply(inverse(multiply(divide(multiply(multiply(identity,X0),X1),X2),inverse(X0))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f318,f89]) ).
fof(f352,plain,
! [X0] : multiply(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f302,f309]) ).
fof(f355,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f9,f309]) ).
fof(f364,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f352,f201]) ).
fof(f367,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f355,f29]) ).
fof(f373,plain,
! [X0,X1,X2] : multiply(inverse(multiply(divide(multiply(X0,X1),X2),inverse(X0))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f355,f340]) ).
fof(f374,plain,
! [X0,X1,X2] : divide(X0,multiply(divide(multiply(X1,X0),X2),inverse(X1))) = X2,
inference(forward_demodulation,[status(thm)],[f364,f373]) ).
fof(f375,plain,
! [X0,X1,X2] : divide(X0,divide(divide(multiply(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f367,f374]) ).
fof(f379,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X1) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f355,f305]) ).
fof(f380,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f364,f379]) ).
fof(f391,plain,
! [X0,X1,X2] : divide(divide(X0,X1),multiply(divide(inverse(X1),X2),X0)) = X2,
inference(backward_demodulation,[status(thm)],[f364,f312]) ).
fof(f393,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),X2) = multiply(divide(inverse(X0),X2),X1),
inference(backward_demodulation,[status(thm)],[f364,f266]) ).
fof(f403,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(inverse(divide(X1,X0)),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f393,f391]) ).
fof(f405,plain,
! [X0,X1,X2] : divide(inverse(X0),multiply(divide(inverse(divide(X1,X2)),X0),X1)) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f393,f101]) ).
fof(f406,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(inverse(divide(divide(X1,X2),X1)),X0)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f393,f405]) ).
fof(f407,plain,
! [X0,X1,X2] : multiply(divide(divide(divide(X0,X1),X0),X2),X2) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f268,f406]) ).
fof(f408,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f309,f407]) ).
fof(f433,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f364,f380]) ).
fof(f436,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f309,f380]) ).
fof(f442,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f380,f309]) ).
fof(f443,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f364,f442]) ).
fof(f451,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X1),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f436,f403]) ).
fof(f452,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f433,f451]) ).
fof(f461,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f452,f364]) ).
fof(f462,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f24,f461]) ).
fof(f464,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f462]) ).
fof(f465,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f462,f19]) ).
fof(f474,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f309,f443]) ).
fof(f557,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f380,f408]) ).
fof(f585,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f436,f367]) ).
fof(f700,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f557,f24]) ).
fof(f718,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f380,f375]) ).
fof(f719,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f700,f718]) ).
fof(f788,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f466,f719]) ).
fof(f789,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f364,f13]) ).
fof(f792,plain,
( identity != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f791]) ).
fof(f793,plain,
( identity != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f364,f792]) ).
fof(f794,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f793]) ).
fof(f795,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f794]) ).
fof(f796,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f799,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f462,f16]) ).
fof(f800,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f719,f799]) ).
fof(f801,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f367,f800]) ).
fof(f802,plain,
( divide(b2,divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f585,f801]) ).
fof(f803,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f474,f802]) ).
fof(f804,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f803]) ).
fof(f805,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f465,f789,f796,f805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP095-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:01:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.42 % Refutation found
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.076695 seconds
% 0.19/0.43 % CPU time: 0.494577 seconds
% 0.19/0.43 % Total memory used: 50.376 MB
% 0.19/0.43 % Net memory used: 48.849 MB
%------------------------------------------------------------------------------