%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN179-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 09:00:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of clauses : 82 ( 34 unt; 0 nHn; 72 RR)
% Number of literals : 162 ( 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 74 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_12,axiom,
m0(a,X,a) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_016,axiom,
( m1(H,I,I)
| ~ m1(J,I,H)
| ~ m1(J,A,I) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
cnf(rule_024,axiom,
( m1(F,a,G)
| ~ m0(a,H,a)
| ~ q0(F,G)
| ~ m1(G,c,G) ) ).
cnf(rule_035,axiom,
( m1(I,J,I)
| ~ r0(I)
| ~ l0(J) ) ).
cnf(rule_059,axiom,
( n1(H,H,I)
| ~ m0(J,A,A)
| ~ m0(I,J,H) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_126,axiom,
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ) ).
cnf(rule_134,axiom,
( l2(G,G)
| ~ m0(H,G,I)
| ~ m1(I,H,H)
| ~ p0(H,G) ) ).
cnf(rule_183,axiom,
( q2(D,c,E)
| ~ k1(E)
| ~ l0(c)
| ~ l2(E,D) ) ).
cnf(rule_190,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ) ).
cnf(rule_255,axiom,
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ) ).
cnf(rule_257,axiom,
( q3(B,C)
| ~ n1(D,B,C)
| ~ s2(B)
| ~ q3(C,B) ) ).
cnf(prove_this,negated_conjecture,
~ q3(d,X) ).
cnf(refute_0_0,plain,
m0(d,d,d),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(d))]]) ).
cnf(refute_0_1,plain,
m0(X_499,d,X_498),
inference(subst,[],[axiom_19:[bind(X,$fot(X_499)),bind(Y,$fot(X_498))]]) ).
cnf(refute_0_2,plain,
( ~ m0(X_499,d,X_498)
| ~ m0(d,X_497,X_497)
| n1(X_498,X_498,X_499) ),
inference(subst,[],[rule_059:[bind(A,$fot(X_497)),bind(H,$fot(X_498)),bind(I,$fot(X_499)),bind(J,$fot(d))]]) ).
cnf(refute_0_3,plain,
( ~ m0(d,X_497,X_497)
| n1(X_498,X_498,X_499) ),
inference(resolve,[$cnf( m0(X_499,d,X_498) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ m0(d,d,d)
| n1(X_510,X_510,X_511) ),
inference(subst,[],[refute_0_3:[bind(X_497,$fot(d)),bind(X_498,$fot(X_510)),bind(X_499,$fot(X_511))]]) ).
cnf(refute_0_5,plain,
n1(X_510,X_510,X_511),
inference(resolve,[$cnf( m0(d,d,d) )],[refute_0_0,refute_0_4]) ).
cnf(refute_0_6,plain,
n1(X_627,X_627,X_628),
inference(subst,[],[refute_0_5:[bind(X_510,$fot(X_627)),bind(X_511,$fot(X_628))]]) ).
cnf(refute_0_7,plain,
( ~ n1(X_627,X_627,X_628)
| ~ q3(X_628,X_627)
| ~ s2(X_627)
| q3(X_627,X_628) ),
inference(subst,[],[rule_257:[bind(B,$fot(X_627)),bind(C,$fot(X_628)),bind(D,$fot(X_627))]]) ).
cnf(refute_0_8,plain,
( ~ q3(X_628,X_627)
| ~ s2(X_627)
| q3(X_627,X_628) ),
inference(resolve,[$cnf( n1(X_627,X_627,X_628) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ q3(c,d)
| ~ s2(d)
| q3(d,c) ),
inference(subst,[],[refute_0_8:[bind(X_627,$fot(d)),bind(X_628,$fot(c))]]) ).
cnf(refute_0_10,plain,
( ~ n0(d,c)
| ~ q2(d,c,d)
| q3(c,d) ),
inference(subst,[],[rule_255:[bind(G,$fot(c)),bind(H,$fot(d)),bind(I,$fot(d))]]) ).
cnf(refute_0_11,plain,
( ~ k1(E)
| ~ l2(E,D)
| q2(D,c,E) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_183]) ).
cnf(refute_0_12,plain,
( ~ k1(d)
| ~ l2(d,d)
| q2(d,c,d) ),
inference(subst,[],[refute_0_11:[bind(D,$fot(d)),bind(E,$fot(d))]]) ).
cnf(refute_0_13,plain,
m0(b,d,a),
inference(subst,[],[axiom_19:[bind(X,$fot(b)),bind(Y,$fot(a))]]) ).
cnf(refute_0_14,plain,
( ~ l0(X_177)
| ~ r0(b)
| m1(b,X_177,b) ),
inference(subst,[],[rule_035:[bind(I,$fot(b)),bind(J,$fot(X_177))]]) ).
cnf(refute_0_15,plain,
( ~ l0(X_177)
| m1(b,X_177,b) ),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ l0(c)
| m1(b,c,b) ),
inference(subst,[],[refute_0_15:[bind(X_177,$fot(c))]]) ).
cnf(refute_0_17,plain,
m1(b,c,b),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_16]) ).
cnf(refute_0_18,plain,
m0(a,H,a),
inference(subst,[],[axiom_12:[bind(X,$fot(H))]]) ).
cnf(refute_0_19,plain,
( ~ m1(G,c,G)
| ~ q0(F,G)
| m1(F,a,G) ),
inference(resolve,[$cnf( m0(a,H,a) )],[refute_0_18,rule_024]) ).
cnf(refute_0_20,plain,
( ~ m1(b,c,b)
| ~ q0(X_180,b)
| m1(X_180,a,b) ),
inference(subst,[],[refute_0_19:[bind(F,$fot(X_180)),bind(G,$fot(b))]]) ).
cnf(refute_0_21,plain,
( ~ q0(X_180,b)
| m1(X_180,a,b) ),
inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ q0(a,b)
| m1(a,a,b) ),
inference(subst,[],[refute_0_21:[bind(X_180,$fot(a))]]) ).
cnf(refute_0_23,plain,
m1(a,a,b),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ k0(X_173)
| ~ l0(a)
| m1(a,X_173,a) ),
inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_173))]]) ).
cnf(refute_0_25,plain,
( ~ k0(X_173)
| m1(a,X_173,a) ),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ k0(b)
| m1(a,b,a) ),
inference(subst,[],[refute_0_25:[bind(X_173,$fot(b))]]) ).
cnf(refute_0_27,plain,
m1(a,b,a),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ m1(a,X_456,b)
| ~ m1(a,b,a)
| m1(a,b,b) ),
inference(subst,[],[rule_016:[bind(A,$fot(X_456)),bind(H,$fot(a)),bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_29,plain,
( ~ m1(a,X_456,b)
| m1(a,b,b) ),
inference(resolve,[$cnf( m1(a,b,a) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ m1(a,a,b)
| m1(a,b,b) ),
inference(subst,[],[refute_0_29:[bind(X_456,$fot(a))]]) ).
cnf(refute_0_31,plain,
m1(a,b,b),
inference(resolve,[$cnf( m1(a,a,b) )],[refute_0_23,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ m0(b,X_666,a)
| ~ m1(a,b,b)
| ~ p0(b,X_666)
| l2(X_666,X_666) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_666)),bind(H,$fot(b)),bind(I,$fot(a))]]) ).
cnf(refute_0_33,plain,
( ~ m0(b,X_666,a)
| ~ p0(b,X_666)
| l2(X_666,X_666) ),
inference(resolve,[$cnf( m1(a,b,b) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
p0(b,X_666),
inference(subst,[],[axiom_14:[bind(X,$fot(X_666))]]) ).
cnf(refute_0_35,plain,
( ~ m0(b,X_666,a)
| l2(X_666,X_666) ),
inference(resolve,[$cnf( p0(b,X_666) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
( ~ m0(b,d,a)
| l2(d,d) ),
inference(subst,[],[refute_0_35:[bind(X_666,$fot(d))]]) ).
cnf(refute_0_37,plain,
l2(d,d),
inference(resolve,[$cnf( m0(b,d,a) )],[refute_0_13,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ k1(d)
| q2(d,c,d) ),
inference(resolve,[$cnf( l2(d,d) )],[refute_0_37,refute_0_12]) ).
cnf(refute_0_39,plain,
( ~ n0(c,d)
| k1(d) ),
inference(subst,[],[rule_001:[bind(I,$fot(d)),bind(J,$fot(c))]]) ).
cnf(refute_0_40,plain,
k1(d),
inference(resolve,[$cnf( n0(c,d) )],[axiom_34,refute_0_39]) ).
cnf(refute_0_41,plain,
q2(d,c,d),
inference(resolve,[$cnf( k1(d) )],[refute_0_40,refute_0_38]) ).
cnf(refute_0_42,plain,
( ~ n0(d,c)
| q3(c,d) ),
inference(resolve,[$cnf( q2(d,c,d) )],[refute_0_41,refute_0_10]) ).
cnf(refute_0_43,plain,
q3(c,d),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ s2(d)
| q3(d,c) ),
inference(resolve,[$cnf( q3(c,d) )],[refute_0_43,refute_0_9]) ).
cnf(refute_0_45,plain,
( ~ s1(a)
| s2(d) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_190]) ).
cnf(refute_0_46,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_47,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_48,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ q0(a,b)
| ~ s1(X_222)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_222))]]) ).
cnf(refute_0_50,plain,
( ~ s1(X_222)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_50:[bind(X_222,$fot(b))]]) ).
cnf(refute_0_52,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
s2(d),
inference(resolve,[$cnf( s1(a) )],[refute_0_52,refute_0_45]) ).
cnf(refute_0_54,plain,
q3(d,c),
inference(resolve,[$cnf( s2(d) )],[refute_0_53,refute_0_44]) ).
cnf(refute_0_55,plain,
~ q3(d,c),
inference(subst,[],[prove_this:[bind(X,$fot(c))]]) ).
cnf(refute_0_56,plain,
$false,
inference(resolve,[$cnf( q3(d,c) )],[refute_0_54,refute_0_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN179-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.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 15:06:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54
% 0.19/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.54
%------------------------------------------------------------------------------