TSTP Solution File: GRP700-10 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 : 600s
% DateTime : Sat Jul 16 10:50:02 EDT 2022
% Result : Unsatisfiable 0.48s 0.70s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 28
% Syntax : Number of clauses : 86 ( 52 unt; 0 nHn; 45 RR)
% Number of literals : 136 ( 135 equ; 54 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(A,ld(A,B)) = B ).
cnf(f02,axiom,
ld(A,mult(A,B)) = B ).
cnf(f03,axiom,
mult(rd(A,B),B) = A ).
cnf(f04,axiom,
rd(mult(A,B),B) = A ).
cnf(f05,axiom,
mult(A,unit) = A ).
cnf(f06,axiom,
mult(unit,A) = A ).
cnf(f07,axiom,
mult(mult(mult(A,B),A),mult(A,C)) = mult(A,mult(mult(mult(B,A),A),C)) ).
cnf(goal,negated_conjecture,
tuple(mult(X1,x0),mult(x0,X1)) != tuple(unit,unit) ).
cnf(refute_0_0,plain,
tuple(mult(rd(unit,x0),x0),mult(x0,rd(unit,x0))) != tuple(unit,unit),
inference(subst,[],[goal:[bind(X1,$fot(rd(unit,x0)))]]) ).
cnf(refute_0_1,plain,
rd(mult(mult(B,rd(unit,B)),B),B) = mult(B,rd(unit,B)),
inference(subst,[],[f04:[bind(A,$fot(mult(B,rd(unit,B))))]]) ).
cnf(refute_0_2,plain,
rd(mult(X_15,ld(X_15,B)),ld(X_15,B)) = X_15,
inference(subst,[],[f04:[bind(A,$fot(X_15)),bind(B,$fot(ld(X_15,B)))]]) ).
cnf(refute_0_3,plain,
mult(X_15,ld(X_15,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_15))]]) ).
cnf(refute_0_4,plain,
( mult(X_15,ld(X_15,B)) != B
| rd(mult(X_15,ld(X_15,B)),ld(X_15,B)) != X_15
| rd(B,ld(X_15,B)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_15,ld(X_15,B)),ld(X_15,B)),X_15) ),[0,0],$fot(B)]]) ).
cnf(refute_0_5,plain,
( rd(mult(X_15,ld(X_15,B)),ld(X_15,B)) != X_15
| rd(B,ld(X_15,B)) = X_15 ),
inference(resolve,[$cnf( $equal(mult(X_15,ld(X_15,B)),B) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
rd(B,ld(X_15,B)) = X_15,
inference(resolve,[$cnf( $equal(rd(mult(X_15,ld(X_15,B)),ld(X_15,B)),X_15) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
rd(mult(X_78,X_78),ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78))) = mult(mult(X_78,rd(unit,X_78)),X_78),
inference(subst,[],[refute_0_6:[bind(B,$fot(mult(X_78,X_78))),bind(X_15,$fot(mult(mult(X_78,rd(unit,X_78)),X_78)))]]) ).
cnf(refute_0_8,plain,
ld(mult(mult(B,X_28),B),mult(mult(mult(B,X_28),B),B)) = B,
inference(subst,[],[f02:[bind(A,$fot(mult(mult(B,X_28),B)))]]) ).
cnf(refute_0_9,plain,
mult(mult(mult(X_24,X_25),X_24),mult(X_24,unit)) = mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)),
inference(subst,[],[f07:[bind(A,$fot(X_24)),bind(B,$fot(X_25)),bind(C,$fot(unit))]]) ).
cnf(refute_0_10,plain,
mult(X_24,unit) = X_24,
inference(subst,[],[f05:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_11,plain,
( mult(X_24,unit) != X_24
| mult(mult(mult(X_24,X_25),X_24),mult(X_24,unit)) != mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))
| mult(mult(mult(X_24,X_25),X_24),X_24) = mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_24,X_25),X_24),mult(X_24,unit)),mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))) ),[0,1],$fot(X_24)]]) ).
cnf(refute_0_12,plain,
( mult(mult(mult(X_24,X_25),X_24),mult(X_24,unit)) != mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))
| mult(mult(mult(X_24,X_25),X_24),X_24) = mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) ),
inference(resolve,[$cnf( $equal(mult(X_24,unit),X_24) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
mult(mult(mult(X_24,X_25),X_24),X_24) = mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_24,X_25),X_24),mult(X_24,unit)),mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
mult(mult(mult(X_25,X_24),X_24),unit) = mult(mult(X_25,X_24),X_24),
inference(subst,[],[f05:[bind(A,$fot(mult(mult(X_25,X_24),X_24)))]]) ).
cnf(refute_0_15,plain,
mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) = mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)),
introduced(tautology,[refl,[$fot(mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)))]]) ).
cnf(refute_0_16,plain,
( mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) != mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))
| mult(mult(mult(X_25,X_24),X_24),unit) != mult(mult(X_25,X_24),X_24)
| mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) = mult(X_24,mult(mult(X_25,X_24),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)),mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))) ),[1,1],$fot(mult(mult(X_25,X_24),X_24))]]) ).
cnf(refute_0_17,plain,
( mult(mult(mult(X_25,X_24),X_24),unit) != mult(mult(X_25,X_24),X_24)
| mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) = mult(X_24,mult(mult(X_25,X_24),X_24)) ),
inference(resolve,[$cnf( $equal(mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)),mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) = mult(X_24,mult(mult(X_25,X_24),X_24)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_25,X_24),X_24),unit),mult(mult(X_25,X_24),X_24)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)) != mult(X_24,mult(mult(X_25,X_24),X_24))
| mult(mult(mult(X_24,X_25),X_24),X_24) != mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))
| mult(mult(mult(X_24,X_25),X_24),X_24) = mult(X_24,mult(mult(X_25,X_24),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_24,X_25),X_24),X_24),mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))) ),[1],$fot(mult(X_24,mult(mult(X_25,X_24),X_24)))]]) ).
cnf(refute_0_20,plain,
( mult(mult(mult(X_24,X_25),X_24),X_24) != mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))
| mult(mult(mult(X_24,X_25),X_24),X_24) = mult(X_24,mult(mult(X_25,X_24),X_24)) ),
inference(resolve,[$cnf( $equal(mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit)),mult(X_24,mult(mult(X_25,X_24),X_24))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(mult(mult(X_24,X_25),X_24),X_24) = mult(X_24,mult(mult(X_25,X_24),X_24)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_24,X_25),X_24),X_24),mult(X_24,mult(mult(mult(X_25,X_24),X_24),unit))) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
mult(mult(mult(B,X_28),B),B) = mult(B,mult(mult(X_28,B),B)),
inference(subst,[],[refute_0_21:[bind(X_24,$fot(B)),bind(X_25,$fot(X_28))]]) ).
cnf(refute_0_23,plain,
( ld(mult(mult(B,X_28),B),mult(mult(mult(B,X_28),B),B)) != B
| mult(mult(mult(B,X_28),B),B) != mult(B,mult(mult(X_28,B),B))
| ld(mult(mult(B,X_28),B),mult(B,mult(mult(X_28,B),B))) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(B,X_28),B),mult(mult(mult(B,X_28),B),B)),B) ),[0,1],$fot(mult(B,mult(mult(X_28,B),B)))]]) ).
cnf(refute_0_24,plain,
( ld(mult(mult(B,X_28),B),mult(mult(mult(B,X_28),B),B)) != B
| ld(mult(mult(B,X_28),B),mult(B,mult(mult(X_28,B),B))) = B ),
inference(resolve,[$cnf( $equal(mult(mult(mult(B,X_28),B),B),mult(B,mult(mult(X_28,B),B))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
ld(mult(mult(B,X_28),B),mult(B,mult(mult(X_28,B),B))) = B,
inference(resolve,[$cnf( $equal(ld(mult(mult(B,X_28),B),mult(mult(mult(B,X_28),B),B)),B) )],[refute_0_8,refute_0_24]) ).
cnf(refute_0_26,plain,
ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(mult(rd(A,X_47),X_47),X_47))) = X_47,
inference(subst,[],[refute_0_25:[bind(B,$fot(X_47)),bind(X_28,$fot(rd(A,X_47)))]]) ).
cnf(refute_0_27,plain,
mult(rd(A,X_47),X_47) = A,
inference(subst,[],[f03:[bind(B,$fot(X_47))]]) ).
cnf(refute_0_28,plain,
( ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(mult(rd(A,X_47),X_47),X_47))) != X_47
| mult(rd(A,X_47),X_47) != A
| ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(A,X_47))) = X_47 ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(mult(rd(A,X_47),X_47),X_47))),X_47) ),[0,1,1,0],$fot(A)]]) ).
cnf(refute_0_29,plain,
( ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(mult(rd(A,X_47),X_47),X_47))) != X_47
| ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(A,X_47))) = X_47 ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_47),X_47),A) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(A,X_47))) = X_47,
inference(resolve,[$cnf( $equal(ld(mult(mult(X_47,rd(A,X_47)),X_47),mult(X_47,mult(mult(rd(A,X_47),X_47),X_47))),X_47) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,mult(unit,X_77))) = X_77,
inference(subst,[],[refute_0_30:[bind(A,$fot(unit)),bind(X_47,$fot(X_77))]]) ).
cnf(refute_0_32,plain,
mult(unit,X_77) = X_77,
inference(subst,[],[f06:[bind(A,$fot(X_77))]]) ).
cnf(refute_0_33,plain,
( ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,mult(unit,X_77))) != X_77
| mult(unit,X_77) != X_77
| ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,X_77)) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,mult(unit,X_77))),X_77) ),[0,1,1],$fot(X_77)]]) ).
cnf(refute_0_34,plain,
( ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,mult(unit,X_77))) != X_77
| ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,X_77)) = X_77 ),
inference(resolve,[$cnf( $equal(mult(unit,X_77),X_77) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,X_77)) = X_77,
inference(resolve,[$cnf( $equal(ld(mult(mult(X_77,rd(unit,X_77)),X_77),mult(X_77,mult(unit,X_77))),X_77) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78)) = X_78,
inference(subst,[],[refute_0_35:[bind(X_77,$fot(X_78))]]) ).
cnf(refute_0_37,plain,
( ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78)) != X_78
| rd(mult(X_78,X_78),ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78))) != mult(mult(X_78,rd(unit,X_78)),X_78)
| rd(mult(X_78,X_78),X_78) = mult(mult(X_78,rd(unit,X_78)),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_78,X_78),ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78))),mult(mult(X_78,rd(unit,X_78)),X_78)) ),[0,1],$fot(X_78)]]) ).
cnf(refute_0_38,plain,
( rd(mult(X_78,X_78),ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78))) != mult(mult(X_78,rd(unit,X_78)),X_78)
| rd(mult(X_78,X_78),X_78) = mult(mult(X_78,rd(unit,X_78)),X_78) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78)),X_78) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
rd(mult(X_78,X_78),X_78) = mult(mult(X_78,rd(unit,X_78)),X_78),
inference(resolve,[$cnf( $equal(rd(mult(X_78,X_78),ld(mult(mult(X_78,rd(unit,X_78)),X_78),mult(X_78,X_78))),mult(mult(X_78,rd(unit,X_78)),X_78)) )],[refute_0_7,refute_0_38]) ).
cnf(refute_0_40,plain,
rd(mult(X_78,X_78),X_78) = X_78,
inference(subst,[],[f04:[bind(A,$fot(X_78)),bind(B,$fot(X_78))]]) ).
cnf(refute_0_41,plain,
( rd(mult(X_78,X_78),X_78) != X_78
| rd(mult(X_78,X_78),X_78) != mult(mult(X_78,rd(unit,X_78)),X_78)
| X_78 = mult(mult(X_78,rd(unit,X_78)),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_78,X_78),X_78),mult(mult(X_78,rd(unit,X_78)),X_78)) ),[0],$fot(X_78)]]) ).
cnf(refute_0_42,plain,
( rd(mult(X_78,X_78),X_78) != mult(mult(X_78,rd(unit,X_78)),X_78)
| X_78 = mult(mult(X_78,rd(unit,X_78)),X_78) ),
inference(resolve,[$cnf( $equal(rd(mult(X_78,X_78),X_78),X_78) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
X_78 = mult(mult(X_78,rd(unit,X_78)),X_78),
inference(resolve,[$cnf( $equal(rd(mult(X_78,X_78),X_78),mult(mult(X_78,rd(unit,X_78)),X_78)) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
B = mult(mult(B,rd(unit,B)),B),
inference(subst,[],[refute_0_43:[bind(X_78,$fot(B))]]) ).
cnf(refute_0_45,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_46,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_47,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( B != mult(mult(B,rd(unit,B)),B)
| mult(mult(B,rd(unit,B)),B) = B ),
inference(subst,[],[refute_0_47:[bind(X,$fot(B)),bind(Y,$fot(mult(mult(B,rd(unit,B)),B)))]]) ).
cnf(refute_0_49,plain,
mult(mult(B,rd(unit,B)),B) = B,
inference(resolve,[$cnf( $equal(B,mult(mult(B,rd(unit,B)),B)) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
( mult(mult(B,rd(unit,B)),B) != B
| rd(mult(mult(B,rd(unit,B)),B),B) != mult(B,rd(unit,B))
| rd(B,B) = mult(B,rd(unit,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(B,rd(unit,B)),B),B),mult(B,rd(unit,B))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_51,plain,
( rd(mult(mult(B,rd(unit,B)),B),B) != mult(B,rd(unit,B))
| rd(B,B) = mult(B,rd(unit,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,rd(unit,B)),B),B) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
rd(B,B) = mult(B,rd(unit,B)),
inference(resolve,[$cnf( $equal(rd(mult(mult(B,rd(unit,B)),B),B),mult(B,rd(unit,B))) )],[refute_0_1,refute_0_51]) ).
cnf(refute_0_53,plain,
rd(mult(unit,X_16),X_16) = unit,
inference(subst,[],[f04:[bind(A,$fot(unit)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_54,plain,
mult(unit,X_16) = X_16,
inference(subst,[],[f06:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_55,plain,
( mult(unit,X_16) != X_16
| rd(mult(unit,X_16),X_16) != unit
| rd(X_16,X_16) = unit ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(unit,X_16),X_16),unit) ),[0,0],$fot(X_16)]]) ).
cnf(refute_0_56,plain,
( rd(mult(unit,X_16),X_16) != unit
| rd(X_16,X_16) = unit ),
inference(resolve,[$cnf( $equal(mult(unit,X_16),X_16) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
rd(X_16,X_16) = unit,
inference(resolve,[$cnf( $equal(rd(mult(unit,X_16),X_16),unit) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
rd(B,B) = unit,
inference(subst,[],[refute_0_57:[bind(X_16,$fot(B))]]) ).
cnf(refute_0_59,plain,
( rd(B,B) != mult(B,rd(unit,B))
| rd(B,B) != unit
| unit = mult(B,rd(unit,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,B),mult(B,rd(unit,B))) ),[0],$fot(unit)]]) ).
cnf(refute_0_60,plain,
( rd(B,B) != mult(B,rd(unit,B))
| unit = mult(B,rd(unit,B)) ),
inference(resolve,[$cnf( $equal(rd(B,B),unit) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
unit = mult(B,rd(unit,B)),
inference(resolve,[$cnf( $equal(rd(B,B),mult(B,rd(unit,B))) )],[refute_0_52,refute_0_60]) ).
cnf(refute_0_62,plain,
unit = mult(x0,rd(unit,x0)),
inference(subst,[],[refute_0_61:[bind(B,$fot(x0))]]) ).
cnf(refute_0_63,plain,
( unit != mult(x0,rd(unit,x0))
| mult(x0,rd(unit,x0)) = unit ),
inference(subst,[],[refute_0_47:[bind(X,$fot(unit)),bind(Y,$fot(mult(x0,rd(unit,x0))))]]) ).
cnf(refute_0_64,plain,
mult(x0,rd(unit,x0)) = unit,
inference(resolve,[$cnf( $equal(unit,mult(x0,rd(unit,x0))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( mult(x0,rd(unit,x0)) != unit
| tuple(mult(rd(unit,x0),x0),unit) != tuple(unit,unit)
| tuple(mult(rd(unit,x0),x0),mult(x0,rd(unit,x0))) = tuple(unit,unit) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(mult(rd(unit,x0),x0),mult(x0,rd(unit,x0))),tuple(unit,unit)) ),[0,1],$fot(unit)]]) ).
cnf(refute_0_66,plain,
( tuple(mult(rd(unit,x0),x0),unit) != tuple(unit,unit)
| tuple(mult(rd(unit,x0),x0),mult(x0,rd(unit,x0))) = tuple(unit,unit) ),
inference(resolve,[$cnf( $equal(mult(x0,rd(unit,x0)),unit) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
tuple(mult(rd(unit,x0),x0),unit) != tuple(unit,unit),
inference(resolve,[$cnf( $equal(tuple(mult(rd(unit,x0),x0),mult(x0,rd(unit,x0))),tuple(unit,unit)) )],[refute_0_66,refute_0_0]) ).
cnf(refute_0_68,plain,
mult(rd(unit,x0),x0) = unit,
inference(subst,[],[f03:[bind(A,$fot(unit)),bind(B,$fot(x0))]]) ).
cnf(refute_0_69,plain,
tuple(mult(rd(unit,x0),x0),unit) = tuple(mult(rd(unit,x0),x0),unit),
introduced(tautology,[refl,[$fot(tuple(mult(rd(unit,x0),x0),unit))]]) ).
cnf(refute_0_70,plain,
( mult(rd(unit,x0),x0) != unit
| tuple(mult(rd(unit,x0),x0),unit) != tuple(mult(rd(unit,x0),x0),unit)
| tuple(mult(rd(unit,x0),x0),unit) = tuple(unit,unit) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(mult(rd(unit,x0),x0),unit),tuple(mult(rd(unit,x0),x0),unit)) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_71,plain,
( mult(rd(unit,x0),x0) != unit
| tuple(mult(rd(unit,x0),x0),unit) = tuple(unit,unit) ),
inference(resolve,[$cnf( $equal(tuple(mult(rd(unit,x0),x0),unit),tuple(mult(rd(unit,x0),x0),unit)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
tuple(mult(rd(unit,x0),x0),unit) = tuple(unit,unit),
inference(resolve,[$cnf( $equal(mult(rd(unit,x0),x0),unit) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( tuple(mult(rd(unit,x0),x0),unit) != tuple(unit,unit)
| tuple(unit,unit) != tuple(unit,unit)
| tuple(mult(rd(unit,x0),x0),unit) = tuple(unit,unit) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(mult(rd(unit,x0),x0),unit),tuple(unit,unit)) ),[0],$fot(tuple(unit,unit))]]) ).
cnf(refute_0_74,plain,
( tuple(unit,unit) != tuple(unit,unit)
| tuple(mult(rd(unit,x0),x0),unit) = tuple(unit,unit) ),
inference(resolve,[$cnf( $equal(tuple(mult(rd(unit,x0),x0),unit),tuple(unit,unit)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
tuple(unit,unit) != tuple(unit,unit),
inference(resolve,[$cnf( $equal(tuple(mult(rd(unit,x0),x0),unit),tuple(unit,unit)) )],[refute_0_74,refute_0_67]) ).
cnf(refute_0_76,plain,
tuple(unit,unit) = tuple(unit,unit),
introduced(tautology,[refl,[$fot(tuple(unit,unit))]]) ).
cnf(refute_0_77,plain,
$false,
inference(resolve,[$cnf( $equal(tuple(unit,unit),tuple(unit,unit)) )],[refute_0_76,refute_0_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n008.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 : 600
% 0.12/0.34 % DateTime : Tue Jun 14 02:21:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.48/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.70
% 0.48/0.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.48/0.71
%------------------------------------------------------------------------------