TSTP Solution File: SYN213-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN213-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 09:00:29 EDT 2022
% Result : Unsatisfiable 0.36s 0.54s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 59 ( 30 unt; 0 nHn; 33 RR)
% Number of literals : 96 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 73 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_10,axiom,
p0(b,d) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(rule_006,axiom,
( m1(J,J,J)
| ~ m0(A,A,J) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_150,axiom,
( p2(F,F,F)
| ~ m1(G,G,F) ) ).
cnf(rule_177,axiom,
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ) ).
cnf(rule_240,axiom,
( n3(D)
| ~ p2(E,F,D) ) ).
cnf(rule_244,axiom,
( p3(H,H,H)
| ~ n2(H) ) ).
cnf(rule_255,axiom,
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ) ).
cnf(rule_277,axiom,
( l4(J)
| ~ p3(A,B,J) ) ).
cnf(rule_298,axiom,
( r4(G)
| ~ n3(G)
| ~ q3(H,I)
| ~ p0(J,G) ) ).
cnf(rule_329,axiom,
( s5(H)
| ~ l4(H)
| ~ r4(I) ) ).
cnf(prove_this,negated_conjecture,
~ s5(b) ).
cnf(refute_0_0,plain,
( ~ n2(X_106)
| p3(X_106,X_106,X_106) ),
inference(subst,[],[rule_244:[bind(H,$fot(X_106))]]) ).
cnf(refute_0_1,plain,
p0(b,X_66),
inference(subst,[],[axiom_14:[bind(X,$fot(X_66))]]) ).
cnf(refute_0_2,plain,
( ~ p0(b,X_66)
| p1(X_66,X_66,X_66) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_66)),bind(C,$fot(b))]]) ).
cnf(refute_0_3,plain,
p1(X_66,X_66,X_66),
inference(resolve,[$cnf( p0(b,X_66) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
p1(X_103,X_103,X_103),
inference(subst,[],[refute_0_3:[bind(X_66,$fot(X_103))]]) ).
cnf(refute_0_5,plain,
( ~ p1(X_103,X_103,X_103)
| n2(X_103) ),
inference(subst,[],[rule_137:[bind(A,$fot(X_103)),bind(B,$fot(X_103)),bind(C,$fot(X_103))]]) ).
cnf(refute_0_6,plain,
n2(X_103),
inference(resolve,[$cnf( p1(X_103,X_103,X_103) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
n2(X_106),
inference(subst,[],[refute_0_6:[bind(X_103,$fot(X_106))]]) ).
cnf(refute_0_8,plain,
p3(X_106,X_106,X_106),
inference(resolve,[$cnf( n2(X_106) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
p3(X_127,X_127,X_127),
inference(subst,[],[refute_0_8:[bind(X_106,$fot(X_127))]]) ).
cnf(refute_0_10,plain,
( ~ p3(X_127,X_127,X_127)
| l4(X_127) ),
inference(subst,[],[rule_277:[bind(A,$fot(X_127)),bind(B,$fot(X_127)),bind(J,$fot(X_127))]]) ).
cnf(refute_0_11,plain,
l4(X_127),
inference(resolve,[$cnf( p3(X_127,X_127,X_127) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
l4(H),
inference(subst,[],[refute_0_11:[bind(X_127,$fot(H))]]) ).
cnf(refute_0_13,plain,
( ~ r4(I)
| s5(H) ),
inference(resolve,[$cnf( l4(H) )],[refute_0_12,rule_329]) ).
cnf(refute_0_14,plain,
( ~ r4(d)
| s5(H) ),
inference(subst,[],[refute_0_13:[bind(I,$fot(d))]]) ).
cnf(refute_0_15,plain,
p1(E,E,E),
inference(subst,[],[refute_0_3:[bind(X_66,$fot(E))]]) ).
cnf(refute_0_16,plain,
( ~ k0(F)
| q2(E,F,F) ),
inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_15,rule_177]) ).
cnf(refute_0_17,plain,
( ~ k0(b)
| q2(X_230,b,b) ),
inference(subst,[],[refute_0_16:[bind(E,$fot(X_230)),bind(F,$fot(b))]]) ).
cnf(refute_0_18,plain,
q2(X_230,b,b),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_17]) ).
cnf(refute_0_19,plain,
q2(X_324,b,b),
inference(subst,[],[refute_0_18:[bind(X_230,$fot(X_324))]]) ).
cnf(refute_0_20,plain,
( ~ n0(X_324,b)
| ~ q2(X_324,b,b)
| q3(b,b) ),
inference(subst,[],[rule_255:[bind(G,$fot(b)),bind(H,$fot(b)),bind(I,$fot(X_324))]]) ).
cnf(refute_0_21,plain,
( ~ n0(X_324,b)
| q3(b,b) ),
inference(resolve,[$cnf( q2(X_324,b,b) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ n0(a,b)
| q3(b,b) ),
inference(subst,[],[refute_0_21:[bind(X_324,$fot(a))]]) ).
cnf(refute_0_23,plain,
q3(b,b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_22]) ).
cnf(refute_0_24,plain,
m0(d,d,X_95),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_95))]]) ).
cnf(refute_0_25,plain,
( ~ m0(d,d,X_95)
| m1(X_95,X_95,X_95) ),
inference(subst,[],[rule_006:[bind(A,$fot(d)),bind(J,$fot(X_95))]]) ).
cnf(refute_0_26,plain,
m1(X_95,X_95,X_95),
inference(resolve,[$cnf( m0(d,d,X_95) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
m1(X_112,X_112,X_112),
inference(subst,[],[refute_0_26:[bind(X_95,$fot(X_112))]]) ).
cnf(refute_0_28,plain,
( ~ m1(X_112,X_112,X_112)
| p2(X_112,X_112,X_112) ),
inference(subst,[],[rule_150:[bind(F,$fot(X_112)),bind(G,$fot(X_112))]]) ).
cnf(refute_0_29,plain,
p2(X_112,X_112,X_112),
inference(resolve,[$cnf( m1(X_112,X_112,X_112) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
p2(X_121,X_121,X_121),
inference(subst,[],[refute_0_29:[bind(X_112,$fot(X_121))]]) ).
cnf(refute_0_31,plain,
( ~ p2(X_121,X_121,X_121)
| n3(X_121) ),
inference(subst,[],[rule_240:[bind(D,$fot(X_121)),bind(E,$fot(X_121)),bind(F,$fot(X_121))]]) ).
cnf(refute_0_32,plain,
n3(X_121),
inference(resolve,[$cnf( p2(X_121,X_121,X_121) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
n3(G),
inference(subst,[],[refute_0_32:[bind(X_121,$fot(G))]]) ).
cnf(refute_0_34,plain,
( ~ p0(J,G)
| ~ q3(H,I)
| r4(G) ),
inference(resolve,[$cnf( n3(G) )],[refute_0_33,rule_298]) ).
cnf(refute_0_35,plain,
( ~ p0(X_649,X_646)
| ~ q3(b,b)
| r4(X_646) ),
inference(subst,[],[refute_0_34:[bind(G,$fot(X_646)),bind(H,$fot(b)),bind(I,$fot(b)),bind(J,$fot(X_649))]]) ).
cnf(refute_0_36,plain,
( ~ p0(X_649,X_646)
| r4(X_646) ),
inference(resolve,[$cnf( q3(b,b) )],[refute_0_23,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ p0(b,d)
| r4(d) ),
inference(subst,[],[refute_0_36:[bind(X_646,$fot(d)),bind(X_649,$fot(b))]]) ).
cnf(refute_0_38,plain,
r4(d),
inference(resolve,[$cnf( p0(b,d) )],[axiom_10,refute_0_37]) ).
cnf(refute_0_39,plain,
s5(H),
inference(resolve,[$cnf( r4(d) )],[refute_0_38,refute_0_14]) ).
cnf(refute_0_40,plain,
s5(b),
inference(subst,[],[refute_0_39:[bind(H,$fot(b))]]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( s5(b) )],[refute_0_40,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN213-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 00:14:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.36/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54
% 0.36/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.36/0.55
%------------------------------------------------------------------------------