TSTP Solution File: GRP011-4 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 10:32:14 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of clauses : 77 ( 41 unt; 0 nHn; 49 RR)
% Number of literals : 129 ( 128 equ; 53 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(left_identity,axiom,
multiply(identity,X) = X ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity ).
cnf(product_equality,hypothesis,
multiply(b,c) = multiply(d,c) ).
cnf(prove_left_cancellation,negated_conjecture,
b != d ).
cnf(refute_0_0,plain,
multiply(multiply(d,c),X_4) = multiply(d,multiply(c,X_4)),
inference(subst,[],[associativity:[bind(X,$fot(d)),bind(Y,$fot(c)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_1,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_2,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_3,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(b,c) != multiply(d,c)
| multiply(d,c) = multiply(b,c) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(b,c))),bind(Y0,$fot(multiply(d,c)))]]) ).
cnf(refute_0_5,plain,
multiply(d,c) = multiply(b,c),
inference(resolve,[$cnf( $equal(multiply(b,c),multiply(d,c)) )],[product_equality,refute_0_4]) ).
cnf(refute_0_6,plain,
( multiply(multiply(d,c),X_4) != multiply(d,multiply(c,X_4))
| multiply(d,c) != multiply(b,c)
| multiply(multiply(b,c),X_4) = multiply(d,multiply(c,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(d,c),X_4),multiply(d,multiply(c,X_4))) ),[0,0],$fot(multiply(b,c))]]) ).
cnf(refute_0_7,plain,
( multiply(multiply(d,c),X_4) != multiply(d,multiply(c,X_4))
| multiply(multiply(b,c),X_4) = multiply(d,multiply(c,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(d,c),multiply(b,c)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(multiply(b,c),X_4) = multiply(d,multiply(c,X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(d,c),X_4),multiply(d,multiply(c,X_4))) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(b,c),X_4) = multiply(b,multiply(c,X_4)),
inference(subst,[],[associativity:[bind(X,$fot(b)),bind(Y,$fot(c)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_10,plain,
( multiply(multiply(b,c),X_4) != multiply(b,multiply(c,X_4))
| multiply(multiply(b,c),X_4) != multiply(d,multiply(c,X_4))
| multiply(b,multiply(c,X_4)) = multiply(d,multiply(c,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(b,c),X_4),multiply(d,multiply(c,X_4))) ),[0],$fot(multiply(b,multiply(c,X_4)))]]) ).
cnf(refute_0_11,plain,
( multiply(multiply(b,c),X_4) != multiply(d,multiply(c,X_4))
| multiply(b,multiply(c,X_4)) = multiply(d,multiply(c,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(b,c),X_4),multiply(b,multiply(c,X_4))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(b,multiply(c,X_4)) = multiply(d,multiply(c,X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(b,c),X_4),multiply(d,multiply(c,X_4))) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(b,multiply(c,inverse(c))) = multiply(d,multiply(c,inverse(c))),
inference(subst,[],[refute_0_12:[bind(X_4,$fot(inverse(c)))]]) ).
cnf(refute_0_14,plain,
multiply(inverse(inverse(X_10)),inverse(X_10)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_15,plain,
multiply(multiply(inverse(X_3),X_3),X_4) = multiply(inverse(X_3),multiply(X_3,X_4)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_16,plain,
multiply(inverse(X_3),X_3) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_17,plain,
( multiply(multiply(inverse(X_3),X_3),X_4) != multiply(inverse(X_3),multiply(X_3,X_4))
| multiply(inverse(X_3),X_3) != identity
| multiply(identity,X_4) = multiply(inverse(X_3),multiply(X_3,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_3),X_3),X_4),multiply(inverse(X_3),multiply(X_3,X_4))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_18,plain,
( multiply(multiply(inverse(X_3),X_3),X_4) != multiply(inverse(X_3),multiply(X_3,X_4))
| multiply(identity,X_4) = multiply(inverse(X_3),multiply(X_3,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),identity) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(identity,X_4) = multiply(inverse(X_3),multiply(X_3,X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_3),X_3),X_4),multiply(inverse(X_3),multiply(X_3,X_4))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(identity,X_4) = X_4,
inference(subst,[],[left_identity:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_21,plain,
( multiply(identity,X_4) != X_4
| multiply(identity,X_4) != multiply(inverse(X_3),multiply(X_3,X_4))
| X_4 = multiply(inverse(X_3),multiply(X_3,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_4),multiply(inverse(X_3),multiply(X_3,X_4))) ),[0],$fot(X_4)]]) ).
cnf(refute_0_22,plain,
( multiply(identity,X_4) != multiply(inverse(X_3),multiply(X_3,X_4))
| X_4 = multiply(inverse(X_3),multiply(X_3,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_4),X_4) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
X_4 = multiply(inverse(X_3),multiply(X_3,X_4)),
inference(resolve,[$cnf( $equal(multiply(identity,X_4),multiply(inverse(X_3),multiply(X_3,X_4))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(X_5,X_6) = multiply(inverse(inverse(X_5)),multiply(inverse(X_5),multiply(X_5,X_6))),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(inverse(X_5))),bind(X_4,$fot(multiply(X_5,X_6)))]]) ).
cnf(refute_0_25,plain,
X_6 = multiply(inverse(X_5),multiply(X_5,X_6)),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(X_5)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_26,plain,
( X_6 != multiply(inverse(X_5),multiply(X_5,X_6))
| multiply(inverse(X_5),multiply(X_5,X_6)) = X_6 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_6)),bind(Y0,$fot(multiply(inverse(X_5),multiply(X_5,X_6))))]]) ).
cnf(refute_0_27,plain,
multiply(inverse(X_5),multiply(X_5,X_6)) = X_6,
inference(resolve,[$cnf( $equal(X_6,multiply(inverse(X_5),multiply(X_5,X_6))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( multiply(X_5,X_6) != multiply(inverse(inverse(X_5)),multiply(inverse(X_5),multiply(X_5,X_6)))
| multiply(inverse(X_5),multiply(X_5,X_6)) != X_6
| multiply(X_5,X_6) = multiply(inverse(inverse(X_5)),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,X_6),multiply(inverse(inverse(X_5)),multiply(inverse(X_5),multiply(X_5,X_6)))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_29,plain,
( multiply(X_5,X_6) != multiply(inverse(inverse(X_5)),multiply(inverse(X_5),multiply(X_5,X_6)))
| multiply(X_5,X_6) = multiply(inverse(inverse(X_5)),X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_5),multiply(X_5,X_6)),X_6) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(X_5,X_6) = multiply(inverse(inverse(X_5)),X_6),
inference(resolve,[$cnf( $equal(multiply(X_5,X_6),multiply(inverse(inverse(X_5)),multiply(inverse(X_5),multiply(X_5,X_6)))) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(X_10,inverse(X_10)) = multiply(inverse(inverse(X_10)),inverse(X_10)),
inference(subst,[],[refute_0_30:[bind(X_5,$fot(X_10)),bind(X_6,$fot(inverse(X_10)))]]) ).
cnf(refute_0_32,plain,
( multiply(X_10,inverse(X_10)) != multiply(inverse(inverse(X_10)),inverse(X_10))
| multiply(inverse(inverse(X_10)),inverse(X_10)) = multiply(X_10,inverse(X_10)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_10,inverse(X_10)))),bind(Y0,$fot(multiply(inverse(inverse(X_10)),inverse(X_10))))]]) ).
cnf(refute_0_33,plain,
multiply(inverse(inverse(X_10)),inverse(X_10)) = multiply(X_10,inverse(X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(X_10)),multiply(inverse(inverse(X_10)),inverse(X_10))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( multiply(inverse(inverse(X_10)),inverse(X_10)) != multiply(X_10,inverse(X_10))
| multiply(inverse(inverse(X_10)),inverse(X_10)) != identity
| multiply(X_10,inverse(X_10)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),inverse(X_10)),identity) ),[0],$fot(multiply(X_10,inverse(X_10)))]]) ).
cnf(refute_0_35,plain,
( multiply(inverse(inverse(X_10)),inverse(X_10)) != identity
| multiply(X_10,inverse(X_10)) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),inverse(X_10)),multiply(X_10,inverse(X_10))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(X_10,inverse(X_10)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),inverse(X_10)),identity) )],[refute_0_14,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(c,inverse(c)) = identity,
inference(subst,[],[refute_0_36:[bind(X_10,$fot(c))]]) ).
cnf(refute_0_38,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(d,multiply(c,inverse(c)))
| multiply(c,inverse(c)) != identity
| multiply(b,multiply(c,inverse(c))) = multiply(d,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(d,multiply(c,inverse(c)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_39,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(d,multiply(c,inverse(c)))
| multiply(b,multiply(c,inverse(c))) = multiply(d,identity) ),
inference(resolve,[$cnf( $equal(multiply(c,inverse(c)),identity) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(b,multiply(c,inverse(c))) = multiply(d,identity),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(d,multiply(c,inverse(c)))) )],[refute_0_13,refute_0_39]) ).
cnf(refute_0_41,plain,
X_6 = multiply(inverse(inverse(X_6)),multiply(inverse(X_6),X_6)),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(inverse(X_6))),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_42,plain,
multiply(inverse(X_6),X_6) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_43,plain,
( X_6 != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),X_6))
| multiply(inverse(X_6),X_6) != identity
| X_6 = multiply(inverse(inverse(X_6)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(X_6,multiply(inverse(inverse(X_6)),multiply(inverse(X_6),X_6))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_44,plain,
( X_6 != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),X_6))
| X_6 = multiply(inverse(inverse(X_6)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),X_6),identity) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
X_6 = multiply(inverse(inverse(X_6)),identity),
inference(resolve,[$cnf( $equal(X_6,multiply(inverse(inverse(X_6)),multiply(inverse(X_6),X_6))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(X_5,X_6) != multiply(inverse(inverse(X_5)),X_6)
| multiply(inverse(inverse(X_5)),X_6) = multiply(X_5,X_6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_5,X_6))),bind(Y0,$fot(multiply(inverse(inverse(X_5)),X_6)))]]) ).
cnf(refute_0_47,plain,
multiply(inverse(inverse(X_5)),X_6) = multiply(X_5,X_6),
inference(resolve,[$cnf( $equal(multiply(X_5,X_6),multiply(inverse(inverse(X_5)),X_6)) )],[refute_0_30,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(inverse(X_6)),identity) = multiply(X_6,identity),
inference(subst,[],[refute_0_47:[bind(X_5,$fot(X_6)),bind(X_6,$fot(identity))]]) ).
cnf(refute_0_49,plain,
( X_6 != multiply(inverse(inverse(X_6)),identity)
| multiply(inverse(inverse(X_6)),identity) != multiply(X_6,identity)
| X_6 = multiply(X_6,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_6,multiply(X_6,identity)) ),[0],$fot(multiply(inverse(inverse(X_6)),identity))]]) ).
cnf(refute_0_50,plain,
( X_6 != multiply(inverse(inverse(X_6)),identity)
| X_6 = multiply(X_6,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),identity),multiply(X_6,identity)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
X_6 = multiply(X_6,identity),
inference(resolve,[$cnf( $equal(X_6,multiply(inverse(inverse(X_6)),identity)) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
( X_6 != multiply(X_6,identity)
| multiply(X_6,identity) = X_6 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_6)),bind(Y0,$fot(multiply(X_6,identity)))]]) ).
cnf(refute_0_53,plain,
multiply(X_6,identity) = X_6,
inference(resolve,[$cnf( $equal(X_6,multiply(X_6,identity)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(b,identity) = b,
inference(subst,[],[refute_0_53:[bind(X_6,$fot(b))]]) ).
cnf(refute_0_55,plain,
multiply(b,multiply(c,inverse(c))) = multiply(b,multiply(c,inverse(c))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(c,inverse(c))))]]) ).
cnf(refute_0_56,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(b,multiply(c,inverse(c)))
| multiply(c,inverse(c)) != identity
| multiply(b,multiply(c,inverse(c))) = multiply(b,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(b,multiply(c,inverse(c)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_57,plain,
( multiply(c,inverse(c)) != identity
| multiply(b,multiply(c,inverse(c))) = multiply(b,identity) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(b,multiply(c,inverse(c)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(b,multiply(c,inverse(c))) = multiply(b,identity),
inference(resolve,[$cnf( $equal(multiply(c,inverse(c)),identity) )],[refute_0_37,refute_0_57]) ).
cnf(refute_0_59,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_60,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(b,identity)
| multiply(b,identity) != b
| multiply(b,multiply(c,inverse(c))) = b ),
inference(subst,[],[refute_0_60:[bind(X0,$fot(multiply(b,multiply(c,inverse(c))))),bind(Y0,$fot(multiply(b,identity))),bind(Z0,$fot(b))]]) ).
cnf(refute_0_62,plain,
( multiply(b,identity) != b
| multiply(b,multiply(c,inverse(c))) = b ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(b,identity)) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(b,multiply(c,inverse(c))) = b,
inference(resolve,[$cnf( $equal(multiply(b,identity),b) )],[refute_0_54,refute_0_62]) ).
cnf(refute_0_64,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(d,identity)
| multiply(b,multiply(c,inverse(c))) != b
| b = multiply(d,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(d,identity)) ),[0],$fot(b)]]) ).
cnf(refute_0_65,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(d,identity)
| b = multiply(d,identity) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),b) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(d,identity) = d,
inference(subst,[],[refute_0_53:[bind(X_6,$fot(d))]]) ).
cnf(refute_0_67,plain,
( multiply(d,identity) != d
| b != multiply(d,identity)
| b = d ),
introduced(tautology,[equality,[$cnf( $equal(b,multiply(d,identity)) ),[1],$fot(d)]]) ).
cnf(refute_0_68,plain,
( b != multiply(d,identity)
| b = d ),
inference(resolve,[$cnf( $equal(multiply(d,identity),d) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(b,multiply(c,inverse(c))) != multiply(d,identity)
| b = d ),
inference(resolve,[$cnf( $equal(b,multiply(d,identity)) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
b = d,
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,inverse(c))),multiply(d,identity)) )],[refute_0_40,refute_0_69]) ).
cnf(refute_0_71,plain,
$false,
inference(resolve,[$cnf( $equal(b,d) )],[refute_0_70,prove_left_cancellation]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 : 600
% 0.13/0.34 % DateTime : Tue Jun 14 05:13:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------