TSTP Solution File: SYN205-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN205-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 09:00:25 EDT 2022
% Result : Unsatisfiable 0.40s 0.57s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of clauses : 69 ( 33 unt; 0 nHn; 45 RR)
% Number of literals : 129 ( 0 equ; 61 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 66 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_32,axiom,
k0(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_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_177,axiom,
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ) ).
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(prove_this,negated_conjecture,
~ s3(a,d) ).
cnf(refute_0_0,plain,
m0(e,d,X_885),
inference(subst,[],[axiom_19:[bind(X,$fot(e)),bind(Y,$fot(X_885))]]) ).
cnf(refute_0_1,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).
cnf(refute_0_2,plain,
l1(a,a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_1]) ).
cnf(refute_0_3,plain,
p0(b,E),
inference(subst,[],[axiom_14:[bind(X,$fot(E))]]) ).
cnf(refute_0_4,plain,
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
inference(resolve,[$cnf( p0(b,E) )],[refute_0_3,rule_050]) ).
cnf(refute_0_5,plain,
( ~ l0(D)
| n1(D,E,D) ),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ l0(a)
| n1(a,X_47,a) ),
inference(subst,[],[refute_0_5:[bind(D,$fot(a)),bind(E,$fot(X_47))]]) ).
cnf(refute_0_7,plain,
n1(a,X_47,a),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_6]) ).
cnf(refute_0_8,plain,
n1(a,X_675,a),
inference(subst,[],[refute_0_7:[bind(X_47,$fot(X_675))]]) ).
cnf(refute_0_9,plain,
( ~ l0(X_676)
| ~ l1(X_676,a)
| ~ n1(a,X_675,a)
| n1(a,X_675,X_675) ),
inference(subst,[],[rule_054:[bind(E,$fot(a)),bind(F,$fot(X_675)),bind(G,$fot(X_676))]]) ).
cnf(refute_0_10,plain,
( ~ l0(X_676)
| ~ l1(X_676,a)
| n1(a,X_675,X_675) ),
inference(resolve,[$cnf( n1(a,X_675,a) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ l0(a)
| ~ l1(a,a)
| n1(a,X_682,X_682) ),
inference(subst,[],[refute_0_10:[bind(X_675,$fot(X_682)),bind(X_676,$fot(a))]]) ).
cnf(refute_0_12,plain,
( ~ l0(a)
| n1(a,X_682,X_682) ),
inference(resolve,[$cnf( l1(a,a) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
n1(a,X_682,X_682),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_12]) ).
cnf(refute_0_14,plain,
n1(a,e,e),
inference(subst,[],[refute_0_13:[bind(X_682,$fot(e))]]) ).
cnf(refute_0_15,plain,
p0(b,X_67),
inference(subst,[],[axiom_14:[bind(X,$fot(X_67))]]) ).
cnf(refute_0_16,plain,
( ~ p0(b,X_67)
| p1(X_67,X_67,X_67) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_67)),bind(C,$fot(b))]]) ).
cnf(refute_0_17,plain,
p1(X_67,X_67,X_67),
inference(resolve,[$cnf( p0(b,X_67) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
p1(E,E,E),
inference(subst,[],[refute_0_17:[bind(X_67,$fot(E))]]) ).
cnf(refute_0_19,plain,
( ~ k0(F)
| q2(E,F,F) ),
inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_18,rule_177]) ).
cnf(refute_0_20,plain,
( ~ k0(e)
| q2(X_240,e,e) ),
inference(subst,[],[refute_0_19:[bind(E,$fot(X_240)),bind(F,$fot(e))]]) ).
cnf(refute_0_21,plain,
q2(X_240,e,e),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_20]) ).
cnf(refute_0_22,plain,
q2(X_860,e,e),
inference(subst,[],[refute_0_21:[bind(X_240,$fot(X_860))]]) ).
cnf(refute_0_23,plain,
( ~ n1(X_860,e,e)
| ~ p1(e,e,e)
| ~ q2(X_860,e,e)
| q2(e,X_860,e) ),
inference(subst,[],[rule_182:[bind(F,$fot(e)),bind(G,$fot(X_860)),bind(H,$fot(e))]]) ).
cnf(refute_0_24,plain,
( ~ n1(X_860,e,e)
| ~ p1(e,e,e)
| q2(e,X_860,e) ),
inference(resolve,[$cnf( q2(X_860,e,e) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
p1(e,e,e),
inference(subst,[],[refute_0_17:[bind(X_67,$fot(e))]]) ).
cnf(refute_0_26,plain,
( ~ n1(X_860,e,e)
| q2(e,X_860,e) ),
inference(resolve,[$cnf( p1(e,e,e) )],[refute_0_25,refute_0_24]) ).
cnf(refute_0_27,plain,
( ~ n1(a,e,e)
| q2(e,a,e) ),
inference(subst,[],[refute_0_26:[bind(X_860,$fot(a))]]) ).
cnf(refute_0_28,plain,
q2(e,a,e),
inference(resolve,[$cnf( n1(a,e,e) )],[refute_0_14,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ m0(e,X_881,X_883)
| ~ q2(e,a,e)
| ~ s2(a)
| s3(a,X_883) ),
inference(subst,[],[rule_273:[bind(A,$fot(e)),bind(B,$fot(X_881)),bind(I,$fot(a)),bind(J,$fot(X_883))]]) ).
cnf(refute_0_30,plain,
( ~ m0(e,X_881,X_883)
| ~ s2(a)
| s3(a,X_883) ),
inference(resolve,[$cnf( q2(e,a,e) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_32,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_33,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_33,rule_189]) ).
cnf(refute_0_35,plain,
( ~ q2(b,a,b)
| s2(a) ),
inference(subst,[],[refute_0_34:[bind(H,$fot(a))]]) ).
cnf(refute_0_36,plain,
n1(a,b,b),
inference(subst,[],[refute_0_13:[bind(X_682,$fot(b))]]) ).
cnf(refute_0_37,plain,
( ~ k0(b)
| q2(X_240,b,b) ),
inference(subst,[],[refute_0_19:[bind(E,$fot(X_240)),bind(F,$fot(b))]]) ).
cnf(refute_0_38,plain,
q2(X_240,b,b),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_37]) ).
cnf(refute_0_39,plain,
q2(X_860,b,b),
inference(subst,[],[refute_0_38:[bind(X_240,$fot(X_860))]]) ).
cnf(refute_0_40,plain,
( ~ n1(X_860,b,b)
| ~ p1(b,b,b)
| ~ q2(X_860,b,b)
| q2(b,X_860,b) ),
inference(subst,[],[rule_182:[bind(F,$fot(b)),bind(G,$fot(X_860)),bind(H,$fot(b))]]) ).
cnf(refute_0_41,plain,
( ~ n1(X_860,b,b)
| ~ p1(b,b,b)
| q2(b,X_860,b) ),
inference(resolve,[$cnf( q2(X_860,b,b) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
p1(b,b,b),
inference(subst,[],[refute_0_17:[bind(X_67,$fot(b))]]) ).
cnf(refute_0_43,plain,
( ~ n1(X_860,b,b)
| q2(b,X_860,b) ),
inference(resolve,[$cnf( p1(b,b,b) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
( ~ n1(a,b,b)
| q2(b,a,b) ),
inference(subst,[],[refute_0_43:[bind(X_860,$fot(a))]]) ).
cnf(refute_0_45,plain,
q2(b,a,b),
inference(resolve,[$cnf( n1(a,b,b) )],[refute_0_36,refute_0_44]) ).
cnf(refute_0_46,plain,
s2(a),
inference(resolve,[$cnf( q2(b,a,b) )],[refute_0_45,refute_0_35]) ).
cnf(refute_0_47,plain,
( ~ m0(e,X_881,X_883)
| s3(a,X_883) ),
inference(resolve,[$cnf( s2(a) )],[refute_0_46,refute_0_30]) ).
cnf(refute_0_48,plain,
( ~ m0(e,d,X_885)
| s3(a,X_885) ),
inference(subst,[],[refute_0_47:[bind(X_881,$fot(d)),bind(X_883,$fot(X_885))]]) ).
cnf(refute_0_49,plain,
s3(a,X_885),
inference(resolve,[$cnf( m0(e,d,X_885) )],[refute_0_0,refute_0_48]) ).
cnf(refute_0_50,plain,
s3(a,d),
inference(subst,[],[refute_0_49:[bind(X_885,$fot(d))]]) ).
cnf(refute_0_51,plain,
$false,
inference(resolve,[$cnf( s3(a,d) )],[refute_0_50,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN205-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.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 : Mon Jul 11 14:11:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
%------------------------------------------------------------------------------