TSTP Solution File: SYN140-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN140-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 08:59:57 EDT 2022
% Result : Unsatisfiable 0.40s 0.57s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of clauses : 92 ( 42 unt; 0 nHn; 55 RR)
% Number of literals : 172 ( 0 equ; 82 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 108 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_050,axiom,
( n1(D,E,D)
| ~ s0(b)
| ~ l0(D)
| ~ p0(b,E) ) ).
cnf(rule_054,axiom,
( n1(E,F,F)
| ~ l0(G)
| ~ l1(G,E)
| ~ n1(E,F,E) ) ).
cnf(rule_075,axiom,
( p1(a,a,a)
| ~ p0(b,a) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_126,axiom,
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ) ).
cnf(rule_133,axiom,
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ) ).
cnf(rule_177,axiom,
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ) ).
cnf(rule_181,axiom,
( q2(I,I,I)
| ~ p1(I,I,I) ) ).
cnf(rule_182,axiom,
( q2(F,G,F)
| ~ p1(F,F,H)
| ~ n1(G,F,H)
| ~ q2(G,H,F) ) ).
cnf(rule_189,axiom,
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ) ).
cnf(rule_273,axiom,
( s3(I,J)
| ~ q2(A,I,A)
| ~ s2(I)
| ~ m0(A,B,J) ) ).
cnf(rule_279,axiom,
( m4(E,F)
| ~ l2(G,F)
| ~ s3(a,E) ) ).
cnf(prove_this,negated_conjecture,
~ m4(b,X) ).
cnf(refute_0_0,plain,
~ m4(b,X_884),
inference(subst,[],[prove_this:[bind(X,$fot(X_884))]]) ).
cnf(refute_0_1,plain,
( ~ l2(X_780,X_780)
| ~ s3(a,E)
| m4(E,X_780) ),
inference(subst,[],[rule_279:[bind(F,$fot(X_780)),bind(G,$fot(X_780))]]) ).
cnf(refute_0_2,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_3,plain,
m0(X_762,d,X_763),
inference(subst,[],[axiom_19:[bind(X,$fot(X_762)),bind(Y,$fot(X_763))]]) ).
cnf(refute_0_4,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_5,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ q0(a,b)
| ~ s1(X_218)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_218))]]) ).
cnf(refute_0_7,plain,
( ~ s1(X_218)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_7:[bind(X_218,$fot(b))]]) ).
cnf(refute_0_9,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
q0(X_216,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_216))]]) ).
cnf(refute_0_11,plain,
( ~ q0(X_216,d)
| ~ s1(X_218)
| s1(X_216) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_216)),bind(G,$fot(d)),bind(H,$fot(X_218))]]) ).
cnf(refute_0_12,plain,
( ~ s1(X_218)
| s1(X_216) ),
inference(resolve,[$cnf( q0(X_216,d) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ s1(a)
| s1(X_222) ),
inference(subst,[],[refute_0_12:[bind(X_216,$fot(X_222)),bind(X_218,$fot(a))]]) ).
cnf(refute_0_14,plain,
s1(X_222),
inference(resolve,[$cnf( s1(a) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
s1(B),
inference(subst,[],[refute_0_14:[bind(X_222,$fot(B))]]) ).
cnf(refute_0_16,plain,
( ~ m0(C,B,J)
| ~ p0(A,A)
| l2(J,J) ),
inference(resolve,[$cnf( s1(B) )],[refute_0_15,rule_133]) ).
cnf(refute_0_17,plain,
( ~ m0(X_762,d,X_763)
| ~ p0(X_760,X_760)
| l2(X_763,X_763) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_760)),bind(B,$fot(d)),bind(C,$fot(X_762)),bind(J,$fot(X_763))]]) ).
cnf(refute_0_18,plain,
( ~ p0(X_760,X_760)
| l2(X_763,X_763) ),
inference(resolve,[$cnf( m0(X_762,d,X_763) )],[refute_0_3,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ p0(b,b)
| l2(X_779,X_779) ),
inference(subst,[],[refute_0_18:[bind(X_760,$fot(b)),bind(X_763,$fot(X_779))]]) ).
cnf(refute_0_20,plain,
l2(X_779,X_779),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_19]) ).
cnf(refute_0_21,plain,
l2(X_780,X_780),
inference(subst,[],[refute_0_20:[bind(X_779,$fot(X_780))]]) ).
cnf(refute_0_22,plain,
( ~ s3(a,E)
| m4(E,X_780) ),
inference(resolve,[$cnf( l2(X_780,X_780) )],[refute_0_21,refute_0_1]) ).
cnf(refute_0_23,plain,
( ~ s3(a,X_883)
| m4(X_883,X_780) ),
inference(subst,[],[refute_0_22:[bind(E,$fot(X_883))]]) ).
cnf(refute_0_24,plain,
m0(a,d,X_882),
inference(subst,[],[axiom_19:[bind(X,$fot(a)),bind(Y,$fot(X_882))]]) ).
cnf(refute_0_25,plain,
p0(b,a),
inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).
cnf(refute_0_26,plain,
p1(a,a,a),
inference(resolve,[$cnf( p0(b,a) )],[refute_0_25,rule_075]) ).
cnf(refute_0_27,plain,
( ~ p1(a,a,a)
| q2(a,a,a) ),
inference(subst,[],[rule_181:[bind(I,$fot(a))]]) ).
cnf(refute_0_28,plain,
q2(a,a,a),
inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ m0(a,X_878,X_880)
| ~ q2(a,a,a)
| ~ s2(a)
| s3(a,X_880) ),
inference(subst,[],[rule_273:[bind(A,$fot(a)),bind(B,$fot(X_878)),bind(I,$fot(a)),bind(J,$fot(X_880))]]) ).
cnf(refute_0_30,plain,
( ~ m0(a,X_878,X_880)
| ~ s2(a)
| s3(a,X_880) ),
inference(resolve,[$cnf( q2(a,a,a) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_5,rule_189]) ).
cnf(refute_0_32,plain,
( ~ q2(b,a,b)
| s2(a) ),
inference(subst,[],[refute_0_31:[bind(H,$fot(a))]]) ).
cnf(refute_0_33,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).
cnf(refute_0_34,plain,
l1(a,a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_33]) ).
cnf(refute_0_35,plain,
p0(b,E),
inference(subst,[],[axiom_14:[bind(X,$fot(E))]]) ).
cnf(refute_0_36,plain,
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
inference(resolve,[$cnf( p0(b,E) )],[refute_0_35,rule_050]) ).
cnf(refute_0_37,plain,
( ~ l0(D)
| n1(D,E,D) ),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ l0(a)
| n1(a,X_51,a) ),
inference(subst,[],[refute_0_37:[bind(D,$fot(a)),bind(E,$fot(X_51))]]) ).
cnf(refute_0_39,plain,
n1(a,X_51,a),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_38]) ).
cnf(refute_0_40,plain,
n1(a,X_643,a),
inference(subst,[],[refute_0_39:[bind(X_51,$fot(X_643))]]) ).
cnf(refute_0_41,plain,
( ~ l0(X_644)
| ~ l1(X_644,a)
| ~ n1(a,X_643,a)
| n1(a,X_643,X_643) ),
inference(subst,[],[rule_054:[bind(E,$fot(a)),bind(F,$fot(X_643)),bind(G,$fot(X_644))]]) ).
cnf(refute_0_42,plain,
( ~ l0(X_644)
| ~ l1(X_644,a)
| n1(a,X_643,X_643) ),
inference(resolve,[$cnf( n1(a,X_643,a) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ l0(a)
| ~ l1(a,a)
| n1(a,X_650,X_650) ),
inference(subst,[],[refute_0_42:[bind(X_643,$fot(X_650)),bind(X_644,$fot(a))]]) ).
cnf(refute_0_44,plain,
( ~ l0(a)
| n1(a,X_650,X_650) ),
inference(resolve,[$cnf( l1(a,a) )],[refute_0_34,refute_0_43]) ).
cnf(refute_0_45,plain,
n1(a,X_650,X_650),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_44]) ).
cnf(refute_0_46,plain,
n1(a,b,b),
inference(subst,[],[refute_0_45:[bind(X_650,$fot(b))]]) ).
cnf(refute_0_47,plain,
p0(b,X_69),
inference(subst,[],[axiom_14:[bind(X,$fot(X_69))]]) ).
cnf(refute_0_48,plain,
( ~ p0(b,X_69)
| p1(X_69,X_69,X_69) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_69)),bind(C,$fot(b))]]) ).
cnf(refute_0_49,plain,
p1(X_69,X_69,X_69),
inference(resolve,[$cnf( p0(b,X_69) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
p1(E,E,E),
inference(subst,[],[refute_0_49:[bind(X_69,$fot(E))]]) ).
cnf(refute_0_51,plain,
( ~ k0(F)
| q2(E,F,F) ),
inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_50,rule_177]) ).
cnf(refute_0_52,plain,
( ~ k0(b)
| q2(X_237,b,b) ),
inference(subst,[],[refute_0_51:[bind(E,$fot(X_237)),bind(F,$fot(b))]]) ).
cnf(refute_0_53,plain,
q2(X_237,b,b),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_52]) ).
cnf(refute_0_54,plain,
q2(X_826,b,b),
inference(subst,[],[refute_0_53:[bind(X_237,$fot(X_826))]]) ).
cnf(refute_0_55,plain,
( ~ n1(X_826,b,b)
| ~ p1(b,b,b)
| ~ q2(X_826,b,b)
| q2(b,X_826,b) ),
inference(subst,[],[rule_182:[bind(F,$fot(b)),bind(G,$fot(X_826)),bind(H,$fot(b))]]) ).
cnf(refute_0_56,plain,
( ~ n1(X_826,b,b)
| ~ p1(b,b,b)
| q2(b,X_826,b) ),
inference(resolve,[$cnf( q2(X_826,b,b) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
p1(b,b,b),
inference(subst,[],[refute_0_49:[bind(X_69,$fot(b))]]) ).
cnf(refute_0_58,plain,
( ~ n1(X_826,b,b)
| q2(b,X_826,b) ),
inference(resolve,[$cnf( p1(b,b,b) )],[refute_0_57,refute_0_56]) ).
cnf(refute_0_59,plain,
( ~ n1(a,b,b)
| q2(b,a,b) ),
inference(subst,[],[refute_0_58:[bind(X_826,$fot(a))]]) ).
cnf(refute_0_60,plain,
q2(b,a,b),
inference(resolve,[$cnf( n1(a,b,b) )],[refute_0_46,refute_0_59]) ).
cnf(refute_0_61,plain,
s2(a),
inference(resolve,[$cnf( q2(b,a,b) )],[refute_0_60,refute_0_32]) ).
cnf(refute_0_62,plain,
( ~ m0(a,X_878,X_880)
| s3(a,X_880) ),
inference(resolve,[$cnf( s2(a) )],[refute_0_61,refute_0_30]) ).
cnf(refute_0_63,plain,
( ~ m0(a,d,X_882)
| s3(a,X_882) ),
inference(subst,[],[refute_0_62:[bind(X_878,$fot(d)),bind(X_880,$fot(X_882))]]) ).
cnf(refute_0_64,plain,
s3(a,X_882),
inference(resolve,[$cnf( m0(a,d,X_882) )],[refute_0_24,refute_0_63]) ).
cnf(refute_0_65,plain,
s3(a,X_883),
inference(subst,[],[refute_0_64:[bind(X_882,$fot(X_883))]]) ).
cnf(refute_0_66,plain,
m4(X_883,X_780),
inference(resolve,[$cnf( s3(a,X_883) )],[refute_0_65,refute_0_23]) ).
cnf(refute_0_67,plain,
m4(b,X_884),
inference(subst,[],[refute_0_66:[bind(X_780,$fot(X_884)),bind(X_883,$fot(b))]]) ).
cnf(refute_0_68,plain,
$false,
inference(resolve,[$cnf( m4(b,X_884) )],[refute_0_67,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN140-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n014.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 Jul 12 08:18:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57
% 0.40/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.57
%------------------------------------------------------------------------------