TSTP Solution File: SYN037-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 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 21 08:58:46 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 22
% Syntax : Number of clauses : 97 ( 7 unt; 68 nHn; 47 RR)
% Number of literals : 295 ( 0 equ; 91 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 83 ( 67 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ m1
| ~ m3
| ~ p(X1)
| ~ p(fy(X1)) ) ).
cnf(clause_2,negated_conjecture,
( ~ m1
| ~ m3
| p(X1)
| p(fy(X1)) ) ).
cnf(clause_3,negated_conjecture,
( ~ m1
| ~ p(cx)
| m3
| p(Y4) ) ).
cnf(clause_4,negated_conjecture,
( ~ m1
| ~ p(Y5)
| m3
| p(cx) ) ).
cnf(clause_5,negated_conjecture,
( ~ m2
| ~ m3
| ~ q(cw)
| q(Z1) ) ).
cnf(clause_6,negated_conjecture,
( ~ m2
| ~ m3
| ~ q(Z)
| q(cw) ) ).
cnf(clause_7,negated_conjecture,
( ~ m2
| ~ q(W2)
| ~ q(fz5(W2))
| m3 ) ).
cnf(clause_8,negated_conjecture,
( ~ m2
| m3
| q(W2)
| q(fz5(W2)) ) ).
cnf(clause_9,negated_conjecture,
( ~ m3
| ~ p(cx)
| m1
| p(Y1) ) ).
cnf(clause_10,negated_conjecture,
( ~ m3
| ~ p(Y2)
| m1
| p(cx) ) ).
cnf(clause_11,negated_conjecture,
( ~ m3
| ~ q(W1)
| ~ q(fz2(W1))
| m2 ) ).
cnf(clause_12,negated_conjecture,
( ~ m3
| m2
| q(W1)
| q(fz2(W1)) ) ).
cnf(clause_13,negated_conjecture,
( ~ p(X2)
| ~ p(fy3(X2))
| m1
| m3 ) ).
cnf(clause_14,negated_conjecture,
( ~ q(cw)
| m2
| m3
| q(Z4) ) ).
cnf(clause_15,negated_conjecture,
( ~ q(Z3)
| m2
| m3
| q(cw) ) ).
cnf(clause_16,negated_conjecture,
( m1
| m3
| p(X2)
| p(fy3(X2)) ) ).
cnf(clause_17,negated_conjecture,
( ~ m1
| ~ q(U1)
| q(Uu1) ) ).
cnf(clause_18,negated_conjecture,
( ~ m2
| ~ p(V1)
| p(Vv1) ) ).
cnf(clause_19,negated_conjecture,
( ~ p(cvv)
| m2 ) ).
cnf(clause_20,negated_conjecture,
( ~ q(cuu)
| m1 ) ).
cnf(clause_21,negated_conjecture,
( m2
| p(cv) ) ).
cnf(clause_22,negated_conjecture,
( m1
| q(cu) ) ).
cnf(refute_0_0,plain,
( ~ m2
| ~ p(fy(X_38))
| p(Vv1) ),
inference(subst,[],[clause_18:[bind(V1,$fot(fy(X_38)))]]) ).
cnf(refute_0_1,plain,
( ~ m1
| ~ q(fz5(X_35))
| q(Uu1) ),
inference(subst,[],[clause_17:[bind(U1,$fot(fz5(X_35)))]]) ).
cnf(refute_0_2,plain,
( ~ m1
| ~ p(cv)
| m3
| p(cx) ),
inference(subst,[],[clause_4:[bind(Y5,$fot(cv))]]) ).
cnf(refute_0_3,plain,
( ~ m1
| m2
| m3
| p(cx) ),
inference(resolve,[$cnf( p(cv) )],[clause_21,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ q(cu)
| m2
| m3
| q(cw) ),
inference(subst,[],[clause_15:[bind(Z3,$fot(cu))]]) ).
cnf(refute_0_5,plain,
( m1
| m2
| m3
| q(cw) ),
inference(resolve,[$cnf( q(cu) )],[clause_22,refute_0_4]) ).
cnf(refute_0_6,plain,
( m1
| m2
| m3
| q(Z4) ),
inference(resolve,[$cnf( q(cw) )],[refute_0_5,clause_14]) ).
cnf(refute_0_7,plain,
( m1
| m2
| m3
| q(cuu) ),
inference(subst,[],[refute_0_6:[bind(Z4,$fot(cuu))]]) ).
cnf(refute_0_8,plain,
( m1
| m2
| m3 ),
inference(resolve,[$cnf( q(cuu) )],[refute_0_7,clause_20]) ).
cnf(refute_0_9,plain,
( ~ m3
| ~ p(cv)
| m1
| p(cx) ),
inference(subst,[],[clause_10:[bind(Y2,$fot(cv))]]) ).
cnf(refute_0_10,plain,
( ~ m3
| m1
| m2
| p(cx) ),
inference(resolve,[$cnf( p(cv) )],[clause_21,refute_0_9]) ).
cnf(refute_0_11,plain,
( m1
| m2
| p(cx) ),
inference(resolve,[$cnf( m3 )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ m3
| m1
| m2
| p(Y1) ),
inference(resolve,[$cnf( p(cx) )],[refute_0_11,clause_9]) ).
cnf(refute_0_13,plain,
( ~ m3
| m1
| m2
| p(X_14) ),
inference(subst,[],[refute_0_12:[bind(Y1,$fot(X_14))]]) ).
cnf(refute_0_14,plain,
( m1
| m2
| p(X_14) ),
inference(resolve,[$cnf( m3 )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( m1
| m2
| p(cvv) ),
inference(subst,[],[refute_0_14:[bind(X_14,$fot(cvv))]]) ).
cnf(refute_0_16,plain,
( m1
| m2 ),
inference(resolve,[$cnf( p(cvv) )],[refute_0_15,clause_19]) ).
cnf(refute_0_17,plain,
( ~ m2
| ~ p(fy3(X_22))
| p(Vv1) ),
inference(subst,[],[clause_18:[bind(V1,$fot(fy3(X_22)))]]) ).
cnf(refute_0_18,plain,
( m1
| m3
| p(X_22)
| p(fy3(X_22)) ),
inference(subst,[],[clause_16:[bind(X2,$fot(X_22))]]) ).
cnf(refute_0_19,plain,
( ~ m2
| m1
| m3
| p(Vv1)
| p(X_22) ),
inference(resolve,[$cnf( p(fy3(X_22)) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ m2
| m1
| m3
| p(X_24)
| p(X_25) ),
inference(subst,[],[refute_0_19:[bind(Vv1,$fot(X_25)),bind(X_22,$fot(X_24))]]) ).
cnf(refute_0_21,plain,
( m1
| m3
| p(X_24)
| p(X_25) ),
inference(resolve,[$cnf( m2 )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
( m1
| m3
| p(X_27) ),
inference(subst,[],[refute_0_21:[bind(X_24,$fot(X_27)),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_23,plain,
( m1
| m3
| p(fy3(X2)) ),
inference(subst,[],[refute_0_21:[bind(X_24,$fot(fy3(X2))),bind(X_25,$fot(fy3(X2)))]]) ).
cnf(refute_0_24,plain,
( ~ p(X2)
| m1
| m3 ),
inference(resolve,[$cnf( p(fy3(X2)) )],[refute_0_23,clause_13]) ).
cnf(refute_0_25,plain,
( ~ p(X_27)
| m1
| m3 ),
inference(subst,[],[refute_0_24:[bind(X2,$fot(X_27))]]) ).
cnf(refute_0_26,plain,
( m1
| m3 ),
inference(resolve,[$cnf( p(X_27) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ m2
| ~ m3
| ~ q(cu)
| q(cw) ),
inference(subst,[],[clause_6:[bind(Z,$fot(cu))]]) ).
cnf(refute_0_28,plain,
( ~ m2
| ~ m3
| m1
| q(cw) ),
inference(resolve,[$cnf( q(cu) )],[clause_22,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ m2
| m1
| q(cw) ),
inference(resolve,[$cnf( m3 )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( m1
| q(cw) ),
inference(resolve,[$cnf( m2 )],[refute_0_16,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ m2
| ~ m3
| m1
| q(Z1) ),
inference(resolve,[$cnf( q(cw) )],[refute_0_30,clause_5]) ).
cnf(refute_0_32,plain,
( ~ m2
| ~ m3
| m1
| q(X_28) ),
inference(subst,[],[refute_0_31:[bind(Z1,$fot(X_28))]]) ).
cnf(refute_0_33,plain,
( ~ m2
| m1
| q(X_28) ),
inference(resolve,[$cnf( m3 )],[refute_0_26,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ m2
| m1
| q(X_29) ),
inference(subst,[],[refute_0_33:[bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_35,plain,
( m1
| q(X_29) ),
inference(resolve,[$cnf( m2 )],[refute_0_16,refute_0_34]) ).
cnf(refute_0_36,plain,
( m1
| q(cuu) ),
inference(subst,[],[refute_0_35:[bind(X_29,$fot(cuu))]]) ).
cnf(refute_0_37,plain,
m1,
inference(resolve,[$cnf( q(cuu) )],[refute_0_36,clause_20]) ).
cnf(refute_0_38,plain,
( m2
| m3
| p(cx) ),
inference(resolve,[$cnf( m1 )],[refute_0_37,refute_0_3]) ).
cnf(refute_0_39,plain,
( ~ m1
| m2
| m3
| p(Y4) ),
inference(resolve,[$cnf( p(cx) )],[refute_0_38,clause_3]) ).
cnf(refute_0_40,plain,
( m2
| m3
| p(Y4) ),
inference(resolve,[$cnf( m1 )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
( m2
| m3
| p(cvv) ),
inference(subst,[],[refute_0_40:[bind(Y4,$fot(cvv))]]) ).
cnf(refute_0_42,plain,
( m2
| m3 ),
inference(resolve,[$cnf( p(cvv) )],[refute_0_41,clause_19]) ).
cnf(refute_0_43,plain,
( ~ m1
| ~ q(fz2(X_32))
| q(Uu1) ),
inference(subst,[],[clause_17:[bind(U1,$fot(fz2(X_32)))]]) ).
cnf(refute_0_44,plain,
( m2
| q(W1)
| q(fz2(W1)) ),
inference(resolve,[$cnf( m3 )],[refute_0_42,clause_12]) ).
cnf(refute_0_45,plain,
( m2
| q(X_32)
| q(fz2(X_32)) ),
inference(subst,[],[refute_0_44:[bind(W1,$fot(X_32))]]) ).
cnf(refute_0_46,plain,
( ~ m1
| m2
| q(Uu1)
| q(X_32) ),
inference(resolve,[$cnf( q(fz2(X_32)) )],[refute_0_45,refute_0_43]) ).
cnf(refute_0_47,plain,
( m2
| q(Uu1)
| q(X_32) ),
inference(resolve,[$cnf( m1 )],[refute_0_37,refute_0_46]) ).
cnf(refute_0_48,plain,
( m2
| q(X_34) ),
inference(subst,[],[refute_0_47:[bind(Uu1,$fot(X_34)),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_49,plain,
( m2
| q(fz2(W1)) ),
inference(subst,[],[refute_0_47:[bind(Uu1,$fot(fz2(W1))),bind(X_32,$fot(fz2(W1)))]]) ).
cnf(refute_0_50,plain,
( ~ m3
| ~ q(W1)
| m2 ),
inference(resolve,[$cnf( q(fz2(W1)) )],[refute_0_49,clause_11]) ).
cnf(refute_0_51,plain,
( ~ m3
| ~ q(X_34)
| m2 ),
inference(subst,[],[refute_0_50:[bind(W1,$fot(X_34))]]) ).
cnf(refute_0_52,plain,
( ~ m3
| m2 ),
inference(resolve,[$cnf( q(X_34) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
m2,
inference(resolve,[$cnf( m3 )],[refute_0_42,refute_0_52]) ).
cnf(refute_0_54,plain,
( m3
| q(W2)
| q(fz5(W2)) ),
inference(resolve,[$cnf( m2 )],[refute_0_53,clause_8]) ).
cnf(refute_0_55,plain,
( m3
| q(X_35)
| q(fz5(X_35)) ),
inference(subst,[],[refute_0_54:[bind(W2,$fot(X_35))]]) ).
cnf(refute_0_56,plain,
( ~ m1
| m3
| q(Uu1)
| q(X_35) ),
inference(resolve,[$cnf( q(fz5(X_35)) )],[refute_0_55,refute_0_1]) ).
cnf(refute_0_57,plain,
( m3
| q(Uu1)
| q(X_35) ),
inference(resolve,[$cnf( m1 )],[refute_0_37,refute_0_56]) ).
cnf(refute_0_58,plain,
( m3
| q(X_37) ),
inference(subst,[],[refute_0_57:[bind(Uu1,$fot(X_37)),bind(X_35,$fot(X_37))]]) ).
cnf(refute_0_59,plain,
( m3
| q(fz5(W2)) ),
inference(subst,[],[refute_0_57:[bind(Uu1,$fot(fz5(W2))),bind(X_35,$fot(fz5(W2)))]]) ).
cnf(refute_0_60,plain,
( ~ m2
| ~ q(W2)
| m3 ),
inference(resolve,[$cnf( q(fz5(W2)) )],[refute_0_59,clause_7]) ).
cnf(refute_0_61,plain,
( ~ q(W2)
| m3 ),
inference(resolve,[$cnf( m2 )],[refute_0_53,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ q(X_37)
| m3 ),
inference(subst,[],[refute_0_61:[bind(W2,$fot(X_37))]]) ).
cnf(refute_0_63,plain,
m3,
inference(resolve,[$cnf( q(X_37) )],[refute_0_58,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ m1
| p(X1)
| p(fy(X1)) ),
inference(resolve,[$cnf( m3 )],[refute_0_63,clause_2]) ).
cnf(refute_0_65,plain,
( p(X1)
| p(fy(X1)) ),
inference(resolve,[$cnf( m1 )],[refute_0_37,refute_0_64]) ).
cnf(refute_0_66,plain,
( p(X_38)
| p(fy(X_38)) ),
inference(subst,[],[refute_0_65:[bind(X1,$fot(X_38))]]) ).
cnf(refute_0_67,plain,
( ~ m2
| p(Vv1)
| p(X_38) ),
inference(resolve,[$cnf( p(fy(X_38)) )],[refute_0_66,refute_0_0]) ).
cnf(refute_0_68,plain,
( p(Vv1)
| p(X_38) ),
inference(resolve,[$cnf( m2 )],[refute_0_53,refute_0_67]) ).
cnf(refute_0_69,plain,
p(fy(X1)),
inference(subst,[],[refute_0_68:[bind(Vv1,$fot(fy(X1))),bind(X_38,$fot(fy(X1)))]]) ).
cnf(refute_0_70,plain,
( ~ m1
| ~ m3
| ~ p(X1) ),
inference(resolve,[$cnf( p(fy(X1)) )],[refute_0_69,clause_1]) ).
cnf(refute_0_71,plain,
( ~ m3
| ~ p(X1) ),
inference(resolve,[$cnf( m1 )],[refute_0_37,refute_0_70]) ).
cnf(refute_0_72,plain,
~ p(X1),
inference(resolve,[$cnf( m3 )],[refute_0_63,refute_0_71]) ).
cnf(refute_0_73,plain,
p(X1),
inference(subst,[],[refute_0_68:[bind(Vv1,$fot(X1)),bind(X_38,$fot(X1))]]) ).
cnf(refute_0_74,plain,
$false,
inference(resolve,[$cnf( p(X1) )],[refute_0_73,refute_0_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % 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 : Mon Jul 11 19:17:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------