TSTP Solution File: ALG011-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : Thu Jul 14 17:30:34 EDT 2022
% Result : Unsatisfiable 13.62s 13.81s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 82 ( 34 unt; 4 nHn; 76 RR)
% Number of literals : 147 ( 52 equ; 66 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f_is_associative,axiom,
f(X,f(Y,Z)) = f(f(X,Y),Z) ).
cnf(partitions_union,axiom,
( c(X)
| d(X) ) ).
cnf(partitions_exclusive,hypothesis,
( ~ c(X)
| ~ d(X) ) ).
cnf(partition_c_not_empty,hypothesis,
c(a1) ).
cnf(partition_d_not_empty,hypothesis,
d(a2) ).
cnf(conjecture_1,negated_conjecture,
( d(f(X,Y))
| ~ c(X)
| ~ c(Y) ) ).
cnf(conjecture_2,negated_conjecture,
( c(f(X,Y))
| ~ d(X)
| ~ d(Y) ) ).
cnf(refute_0_0,plain,
( ~ d(f(a1,f(a2,a1)))
| c(f(f(a1,f(a2,a1)),f(a1,f(a2,a1)))) ),
inference(subst,[],[conjecture_2:[bind(X,$fot(f(a1,f(a2,a1)))),bind(Y,$fot(f(a1,f(a2,a1))))]]) ).
cnf(refute_0_1,plain,
( ~ c(X_11)
| ~ c(a1)
| d(f(a1,X_11)) ),
inference(subst,[],[conjecture_1:[bind(X,$fot(a1)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_2,plain,
( ~ c(X_11)
| d(f(a1,X_11)) ),
inference(resolve,[$cnf( c(a1) )],[partition_c_not_empty,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ c(f(a2,a1))
| d(f(a1,f(a2,a1))) ),
inference(subst,[],[refute_0_2:[bind(X_11,$fot(f(a2,a1)))]]) ).
cnf(refute_0_4,plain,
( ~ c(f(a2,f(a2,a1)))
| ~ d(f(a2,f(a2,a1))) ),
inference(subst,[],[partitions_exclusive:[bind(X,$fot(f(a2,f(a2,a1))))]]) ).
cnf(refute_0_5,plain,
( ~ d(a2)
| c(f(a2,a2)) ),
inference(subst,[],[conjecture_2:[bind(X,$fot(a2)),bind(Y,$fot(a2))]]) ).
cnf(refute_0_6,plain,
c(f(a2,a2)),
inference(resolve,[$cnf( d(a2) )],[partition_d_not_empty,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ c(X_10)
| ~ c(a1)
| d(f(X_10,a1)) ),
inference(subst,[],[conjecture_1:[bind(X,$fot(X_10)),bind(Y,$fot(a1))]]) ).
cnf(refute_0_8,plain,
( ~ c(X_10)
| d(f(X_10,a1)) ),
inference(resolve,[$cnf( c(a1) )],[partition_c_not_empty,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ c(f(a2,a2))
| d(f(f(a2,a2),a1)) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(f(a2,a2)))]]) ).
cnf(refute_0_10,plain,
d(f(f(a2,a2),a1)),
inference(resolve,[$cnf( c(f(a2,a2)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_12,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_13,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( f(X,f(Y,Z)) != f(f(X,Y),Z)
| f(f(X,Y),Z) = f(X,f(Y,Z)) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(f(X,f(Y,Z)))),bind(Y0,$fot(f(f(X,Y),Z)))]]) ).
cnf(refute_0_15,plain,
f(f(X,Y),Z) = f(X,f(Y,Z)),
inference(resolve,[$cnf( $equal(f(X,f(Y,Z)),f(f(X,Y),Z)) )],[f_is_associative,refute_0_14]) ).
cnf(refute_0_16,plain,
f(f(a2,a2),a1) = f(a2,f(a2,a1)),
inference(subst,[],[refute_0_15:[bind(X,$fot(a2)),bind(Y,$fot(a2)),bind(Z,$fot(a1))]]) ).
cnf(refute_0_17,plain,
( f(f(a2,a2),a1) != f(a2,f(a2,a1))
| ~ d(f(f(a2,a2),a1))
| d(f(a2,f(a2,a1))) ),
introduced(tautology,[equality,[$cnf( d(f(f(a2,a2),a1)) ),[0],$fot(f(a2,f(a2,a1)))]]) ).
cnf(refute_0_18,plain,
( ~ d(f(f(a2,a2),a1))
| d(f(a2,f(a2,a1))) ),
inference(resolve,[$cnf( $equal(f(f(a2,a2),a1),f(a2,f(a2,a1))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
d(f(a2,f(a2,a1))),
inference(resolve,[$cnf( d(f(f(a2,a2),a1)) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
~ c(f(a2,f(a2,a1))),
inference(resolve,[$cnf( d(f(a2,f(a2,a1))) )],[refute_0_19,refute_0_4]) ).
cnf(refute_0_21,plain,
( c(X_19)
| d(X_19) ),
inference(subst,[],[partitions_union:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_22,plain,
( ~ d(X_17)
| ~ d(a2)
| c(f(a2,X_17)) ),
inference(subst,[],[conjecture_2:[bind(X,$fot(a2)),bind(Y,$fot(X_17))]]) ).
cnf(refute_0_23,plain,
( ~ d(X_17)
| c(f(a2,X_17)) ),
inference(resolve,[$cnf( d(a2) )],[partition_d_not_empty,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ d(X_19)
| c(f(a2,X_19)) ),
inference(subst,[],[refute_0_23:[bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_25,plain,
( c(X_19)
| c(f(a2,X_19)) ),
inference(resolve,[$cnf( d(X_19) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
( c(f(a2,a1))
| c(f(a2,f(a2,a1))) ),
inference(subst,[],[refute_0_25:[bind(X_19,$fot(f(a2,a1)))]]) ).
cnf(refute_0_27,plain,
c(f(a2,a1)),
inference(resolve,[$cnf( c(f(a2,f(a2,a1))) )],[refute_0_26,refute_0_20]) ).
cnf(refute_0_28,plain,
d(f(a1,f(a2,a1))),
inference(resolve,[$cnf( c(f(a2,a1)) )],[refute_0_27,refute_0_3]) ).
cnf(refute_0_29,plain,
c(f(f(a1,f(a2,a1)),f(a1,f(a2,a1)))),
inference(resolve,[$cnf( d(f(a1,f(a2,a1))) )],[refute_0_28,refute_0_0]) ).
cnf(refute_0_30,plain,
f(f(a2,a1),f(a1,f(a2,a1))) = f(a2,f(a1,f(a1,f(a2,a1)))),
inference(subst,[],[refute_0_15:[bind(X,$fot(a2)),bind(Y,$fot(a1)),bind(Z,$fot(f(a1,f(a2,a1))))]]) ).
cnf(refute_0_31,plain,
f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) = f(a1,f(f(a2,a1),f(a1,f(a2,a1)))),
introduced(tautology,[refl,[$fot(f(a1,f(f(a2,a1),f(a1,f(a2,a1)))))]]) ).
cnf(refute_0_32,plain,
( f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) != f(a1,f(f(a2,a1),f(a1,f(a2,a1))))
| f(f(a2,a1),f(a1,f(a2,a1))) != f(a2,f(a1,f(a1,f(a2,a1))))
| f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) = f(a1,f(a2,f(a1,f(a1,f(a2,a1))))) ),
introduced(tautology,[equality,[$cnf( $equal(f(a1,f(f(a2,a1),f(a1,f(a2,a1)))),f(a1,f(f(a2,a1),f(a1,f(a2,a1))))) ),[1,1],$fot(f(a2,f(a1,f(a1,f(a2,a1)))))]]) ).
cnf(refute_0_33,plain,
( f(f(a2,a1),f(a1,f(a2,a1))) != f(a2,f(a1,f(a1,f(a2,a1))))
| f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) = f(a1,f(a2,f(a1,f(a1,f(a2,a1))))) ),
inference(resolve,[$cnf( $equal(f(a1,f(f(a2,a1),f(a1,f(a2,a1)))),f(a1,f(f(a2,a1),f(a1,f(a2,a1))))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) = f(a1,f(a2,f(a1,f(a1,f(a2,a1))))),
inference(resolve,[$cnf( $equal(f(f(a2,a1),f(a1,f(a2,a1))),f(a2,f(a1,f(a1,f(a2,a1))))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
f(f(a1,f(a2,a1)),f(a1,f(a2,a1))) = f(a1,f(f(a2,a1),f(a1,f(a2,a1)))),
inference(subst,[],[refute_0_15:[bind(X,$fot(a1)),bind(Y,$fot(f(a2,a1))),bind(Z,$fot(f(a1,f(a2,a1))))]]) ).
cnf(refute_0_36,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_37,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_13,refute_0_36]) ).
cnf(refute_0_38,plain,
( f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) != f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))
| f(f(a1,f(a2,a1)),f(a1,f(a2,a1))) != f(a1,f(f(a2,a1),f(a1,f(a2,a1))))
| f(f(a1,f(a2,a1)),f(a1,f(a2,a1))) = f(a1,f(a2,f(a1,f(a1,f(a2,a1))))) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(f(f(a1,f(a2,a1)),f(a1,f(a2,a1))))),bind(Y0,$fot(f(a1,f(f(a2,a1),f(a1,f(a2,a1)))))),bind(Z0,$fot(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))))]]) ).
cnf(refute_0_39,plain,
( f(a1,f(f(a2,a1),f(a1,f(a2,a1)))) != f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))
| f(f(a1,f(a2,a1)),f(a1,f(a2,a1))) = f(a1,f(a2,f(a1,f(a1,f(a2,a1))))) ),
inference(resolve,[$cnf( $equal(f(f(a1,f(a2,a1)),f(a1,f(a2,a1))),f(a1,f(f(a2,a1),f(a1,f(a2,a1))))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
f(f(a1,f(a2,a1)),f(a1,f(a2,a1))) = f(a1,f(a2,f(a1,f(a1,f(a2,a1))))),
inference(resolve,[$cnf( $equal(f(a1,f(f(a2,a1),f(a1,f(a2,a1)))),f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
( f(f(a1,f(a2,a1)),f(a1,f(a2,a1))) != f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))
| ~ c(f(f(a1,f(a2,a1)),f(a1,f(a2,a1))))
| c(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) ),
introduced(tautology,[equality,[$cnf( c(f(f(a1,f(a2,a1)),f(a1,f(a2,a1)))) ),[0],$fot(f(a1,f(a2,f(a1,f(a1,f(a2,a1))))))]]) ).
cnf(refute_0_42,plain,
( ~ c(f(f(a1,f(a2,a1)),f(a1,f(a2,a1))))
| c(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) ),
inference(resolve,[$cnf( $equal(f(f(a1,f(a2,a1)),f(a1,f(a2,a1))),f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
c(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))),
inference(resolve,[$cnf( c(f(f(a1,f(a2,a1)),f(a1,f(a2,a1)))) )],[refute_0_29,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ c(f(a1,f(a2,f(a1,f(a1,f(a2,a1))))))
| ~ d(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) ),
inference(subst,[],[partitions_exclusive:[bind(X,$fot(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))))]]) ).
cnf(refute_0_45,plain,
( ~ c(f(a2,f(a1,f(a1,f(a2,a1)))))
| d(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) ),
inference(subst,[],[refute_0_2:[bind(X_11,$fot(f(a2,f(a1,f(a1,f(a2,a1))))))]]) ).
cnf(refute_0_46,plain,
( ~ c(f(a1,f(a1,a2)))
| d(f(f(a1,f(a1,a2)),a1)) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(f(a1,f(a1,a2))))]]) ).
cnf(refute_0_47,plain,
( ~ c(a1)
| d(f(a1,a1)) ),
inference(subst,[],[conjecture_1:[bind(X,$fot(a1)),bind(Y,$fot(a1))]]) ).
cnf(refute_0_48,plain,
d(f(a1,a1)),
inference(resolve,[$cnf( c(a1) )],[partition_c_not_empty,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ d(X_16)
| ~ d(a2)
| c(f(X_16,a2)) ),
inference(subst,[],[conjecture_2:[bind(X,$fot(X_16)),bind(Y,$fot(a2))]]) ).
cnf(refute_0_50,plain,
( ~ d(X_16)
| c(f(X_16,a2)) ),
inference(resolve,[$cnf( d(a2) )],[partition_d_not_empty,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ d(f(a1,a1))
| c(f(f(a1,a1),a2)) ),
inference(subst,[],[refute_0_50:[bind(X_16,$fot(f(a1,a1)))]]) ).
cnf(refute_0_52,plain,
c(f(f(a1,a1),a2)),
inference(resolve,[$cnf( d(f(a1,a1)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
f(f(a1,a1),a2) = f(a1,f(a1,a2)),
inference(subst,[],[refute_0_15:[bind(X,$fot(a1)),bind(Y,$fot(a1)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_54,plain,
( f(f(a1,a1),a2) != f(a1,f(a1,a2))
| ~ c(f(f(a1,a1),a2))
| c(f(a1,f(a1,a2))) ),
introduced(tautology,[equality,[$cnf( c(f(f(a1,a1),a2)) ),[0],$fot(f(a1,f(a1,a2)))]]) ).
cnf(refute_0_55,plain,
( ~ c(f(f(a1,a1),a2))
| c(f(a1,f(a1,a2))) ),
inference(resolve,[$cnf( $equal(f(f(a1,a1),a2),f(a1,f(a1,a2))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
c(f(a1,f(a1,a2))),
inference(resolve,[$cnf( c(f(f(a1,a1),a2)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
d(f(f(a1,f(a1,a2)),a1)),
inference(resolve,[$cnf( c(f(a1,f(a1,a2))) )],[refute_0_56,refute_0_46]) ).
cnf(refute_0_58,plain,
f(f(a1,a2),a1) = f(a1,f(a2,a1)),
inference(subst,[],[refute_0_15:[bind(X,$fot(a1)),bind(Y,$fot(a2)),bind(Z,$fot(a1))]]) ).
cnf(refute_0_59,plain,
f(a1,f(f(a1,a2),a1)) = f(a1,f(f(a1,a2),a1)),
introduced(tautology,[refl,[$fot(f(a1,f(f(a1,a2),a1)))]]) ).
cnf(refute_0_60,plain,
( f(a1,f(f(a1,a2),a1)) != f(a1,f(f(a1,a2),a1))
| f(f(a1,a2),a1) != f(a1,f(a2,a1))
| f(a1,f(f(a1,a2),a1)) = f(a1,f(a1,f(a2,a1))) ),
introduced(tautology,[equality,[$cnf( $equal(f(a1,f(f(a1,a2),a1)),f(a1,f(f(a1,a2),a1))) ),[1,1],$fot(f(a1,f(a2,a1)))]]) ).
cnf(refute_0_61,plain,
( f(f(a1,a2),a1) != f(a1,f(a2,a1))
| f(a1,f(f(a1,a2),a1)) = f(a1,f(a1,f(a2,a1))) ),
inference(resolve,[$cnf( $equal(f(a1,f(f(a1,a2),a1)),f(a1,f(f(a1,a2),a1))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
f(a1,f(f(a1,a2),a1)) = f(a1,f(a1,f(a2,a1))),
inference(resolve,[$cnf( $equal(f(f(a1,a2),a1),f(a1,f(a2,a1))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
f(f(a1,f(a1,a2)),a1) = f(a1,f(f(a1,a2),a1)),
inference(subst,[],[refute_0_15:[bind(X,$fot(a1)),bind(Y,$fot(f(a1,a2))),bind(Z,$fot(a1))]]) ).
cnf(refute_0_64,plain,
( f(a1,f(f(a1,a2),a1)) != f(a1,f(a1,f(a2,a1)))
| f(f(a1,f(a1,a2)),a1) != f(a1,f(f(a1,a2),a1))
| f(f(a1,f(a1,a2)),a1) = f(a1,f(a1,f(a2,a1))) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(f(f(a1,f(a1,a2)),a1))),bind(Y0,$fot(f(a1,f(f(a1,a2),a1)))),bind(Z0,$fot(f(a1,f(a1,f(a2,a1)))))]]) ).
cnf(refute_0_65,plain,
( f(a1,f(f(a1,a2),a1)) != f(a1,f(a1,f(a2,a1)))
| f(f(a1,f(a1,a2)),a1) = f(a1,f(a1,f(a2,a1))) ),
inference(resolve,[$cnf( $equal(f(f(a1,f(a1,a2)),a1),f(a1,f(f(a1,a2),a1))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
f(f(a1,f(a1,a2)),a1) = f(a1,f(a1,f(a2,a1))),
inference(resolve,[$cnf( $equal(f(a1,f(f(a1,a2),a1)),f(a1,f(a1,f(a2,a1)))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
( f(f(a1,f(a1,a2)),a1) != f(a1,f(a1,f(a2,a1)))
| ~ d(f(f(a1,f(a1,a2)),a1))
| d(f(a1,f(a1,f(a2,a1)))) ),
introduced(tautology,[equality,[$cnf( d(f(f(a1,f(a1,a2)),a1)) ),[0],$fot(f(a1,f(a1,f(a2,a1))))]]) ).
cnf(refute_0_68,plain,
( ~ d(f(f(a1,f(a1,a2)),a1))
| d(f(a1,f(a1,f(a2,a1)))) ),
inference(resolve,[$cnf( $equal(f(f(a1,f(a1,a2)),a1),f(a1,f(a1,f(a2,a1)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
d(f(a1,f(a1,f(a2,a1)))),
inference(resolve,[$cnf( d(f(f(a1,f(a1,a2)),a1)) )],[refute_0_57,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ d(f(a1,f(a1,f(a2,a1))))
| c(f(a2,f(a1,f(a1,f(a2,a1))))) ),
inference(subst,[],[refute_0_23:[bind(X_17,$fot(f(a1,f(a1,f(a2,a1)))))]]) ).
cnf(refute_0_71,plain,
c(f(a2,f(a1,f(a1,f(a2,a1))))),
inference(resolve,[$cnf( d(f(a1,f(a1,f(a2,a1)))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
d(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))),
inference(resolve,[$cnf( c(f(a2,f(a1,f(a1,f(a2,a1))))) )],[refute_0_71,refute_0_45]) ).
cnf(refute_0_73,plain,
~ c(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))),
inference(resolve,[$cnf( d(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) )],[refute_0_72,refute_0_44]) ).
cnf(refute_0_74,plain,
$false,
inference(resolve,[$cnf( c(f(a1,f(a2,f(a1,f(a1,f(a2,a1)))))) )],[refute_0_43,refute_0_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 03:25:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 13.62/13.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.62/13.81
% 13.62/13.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.62/13.81
%------------------------------------------------------------------------------