TSTP Solution File: SYN180-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN180-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 0.43s 0.60s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 67 ( 35 unt; 0 nHn; 38 RR)
% Number of literals : 117 ( 0 equ; 51 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 94 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_12,axiom,
m0(a,X,a) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_107,axiom,
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ) ).
cnf(rule_110,axiom,
( q1(B,B,B)
| ~ m0(C,D,B) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
cnf(rule_129,axiom,
( k2(J,J)
| ~ q1(A,J,J) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_181,axiom,
( q2(I,I,I)
| ~ p1(I,I,I) ) ).
cnf(rule_187,axiom,
( q2(C,D,C)
| ~ r1(D)
| ~ m0(E,F,C)
| ~ k0(D)
| ~ q2(D,D,D) ) ).
cnf(rule_194,axiom,
( k3(F,F,G)
| ~ k2(G,F) ) ).
cnf(rule_236,axiom,
( m3(A,A,A)
| ~ n2(A) ) ).
cnf(rule_295,axiom,
( q4(B,C)
| ~ k3(D,D,B)
| ~ q2(E,C,B)
| ~ m3(E,F,E) ) ).
cnf(prove_this,negated_conjecture,
~ q4(a,e) ).
cnf(refute_0_0,plain,
( ~ n2(X_106)
| m3(X_106,X_106,X_106) ),
inference(subst,[],[rule_236:[bind(A,$fot(X_106))]]) ).
cnf(refute_0_1,plain,
p0(b,X_64),
inference(subst,[],[axiom_14:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_2,plain,
( ~ p0(b,X_64)
| p1(X_64,X_64,X_64) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_64)),bind(C,$fot(b))]]) ).
cnf(refute_0_3,plain,
p1(X_64,X_64,X_64),
inference(resolve,[$cnf( p0(b,X_64) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
p1(X_103,X_103,X_103),
inference(subst,[],[refute_0_3:[bind(X_64,$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,$fot(X_106))]]) ).
cnf(refute_0_8,plain,
m3(X_106,X_106,X_106),
inference(resolve,[$cnf( n2(X_106) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
m3(X_1077,X_1077,X_1077),
inference(subst,[],[refute_0_8:[bind(X_106,$fot(X_1077))]]) ).
cnf(refute_0_10,plain,
m0(A,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(A)),bind(Y,$fot(A))]]) ).
cnf(refute_0_11,plain,
( ~ m0(e,d,A)
| q1(e,A,A) ),
inference(resolve,[$cnf( m0(A,d,A) )],[refute_0_10,rule_107]) ).
cnf(refute_0_12,plain,
m0(e,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(e)),bind(Y,$fot(A))]]) ).
cnf(refute_0_13,plain,
q1(e,A,A),
inference(resolve,[$cnf( m0(e,d,A) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
q1(e,X_76,X_76),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_76))]]) ).
cnf(refute_0_15,plain,
( ~ q1(e,X_76,X_76)
| k2(X_76,X_76) ),
inference(subst,[],[rule_129:[bind(A,$fot(e)),bind(J,$fot(X_76))]]) ).
cnf(refute_0_16,plain,
k2(X_76,X_76),
inference(resolve,[$cnf( q1(e,X_76,X_76) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
k2(X_82,X_82),
inference(subst,[],[refute_0_16:[bind(X_76,$fot(X_82))]]) ).
cnf(refute_0_18,plain,
( ~ k2(X_82,X_82)
| k3(X_82,X_82,X_82) ),
inference(subst,[],[rule_194:[bind(F,$fot(X_82)),bind(G,$fot(X_82))]]) ).
cnf(refute_0_19,plain,
k3(X_82,X_82,X_82),
inference(resolve,[$cnf( k2(X_82,X_82) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
k3(X_1032,X_1032,X_1032),
inference(subst,[],[refute_0_19:[bind(X_82,$fot(X_1032))]]) ).
cnf(refute_0_21,plain,
( ~ k3(X_1032,X_1032,X_1032)
| ~ m3(X_1035,X_1036,X_1035)
| ~ q2(X_1035,X_1033,X_1032)
| q4(X_1032,X_1033) ),
inference(subst,[],[rule_295:[bind(B,$fot(X_1032)),bind(C,$fot(X_1033)),bind(D,$fot(X_1032)),bind(E,$fot(X_1035)),bind(F,$fot(X_1036))]]) ).
cnf(refute_0_22,plain,
( ~ m3(X_1035,X_1036,X_1035)
| ~ q2(X_1035,X_1033,X_1032)
| q4(X_1032,X_1033) ),
inference(resolve,[$cnf( k3(X_1032,X_1032,X_1032) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ m3(X_1077,X_1077,X_1077)
| ~ q2(X_1077,X_1075,X_1074)
| q4(X_1074,X_1075) ),
inference(subst,[],[refute_0_22:[bind(X_1032,$fot(X_1074)),bind(X_1033,$fot(X_1075)),bind(X_1035,$fot(X_1077)),bind(X_1036,$fot(X_1077))]]) ).
cnf(refute_0_24,plain,
( ~ q2(X_1077,X_1075,X_1074)
| q4(X_1074,X_1075) ),
inference(resolve,[$cnf( m3(X_1077,X_1077,X_1077) )],[refute_0_9,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ q2(a,e,a)
| q4(a,e) ),
inference(subst,[],[refute_0_24:[bind(X_1074,$fot(a)),bind(X_1075,$fot(e)),bind(X_1077,$fot(a))]]) ).
cnf(refute_0_26,plain,
m0(a,X_1084,a),
inference(subst,[],[axiom_12:[bind(X,$fot(X_1084))]]) ).
cnf(refute_0_27,plain,
( ~ p1(X_66,X_66,X_66)
| q2(X_66,X_66,X_66) ),
inference(subst,[],[rule_181:[bind(I,$fot(X_66))]]) ).
cnf(refute_0_28,plain,
p1(X_66,X_66,X_66),
inference(subst,[],[refute_0_3:[bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_29,plain,
q2(X_66,X_66,X_66),
inference(resolve,[$cnf( p1(X_66,X_66,X_66) )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
q2(D,D,D),
inference(subst,[],[refute_0_29:[bind(X_66,$fot(D))]]) ).
cnf(refute_0_31,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
inference(resolve,[$cnf( q2(D,D,D) )],[refute_0_30,rule_187]) ).
cnf(refute_0_32,plain,
q0(X_188,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_188))]]) ).
cnf(refute_0_33,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_34,plain,
( ~ q0(X_188,d)
| ~ q1(d,d,d)
| r1(X_188) ),
inference(subst,[],[refute_0_33:[bind(D,$fot(X_188)),bind(E,$fot(d))]]) ).
cnf(refute_0_35,plain,
( ~ q1(d,d,d)
| r1(X_188) ),
inference(resolve,[$cnf( q0(X_188,d) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
m0(X_153,d,X_152),
inference(subst,[],[axiom_19:[bind(X,$fot(X_153)),bind(Y,$fot(X_152))]]) ).
cnf(refute_0_37,plain,
( ~ m0(X_153,d,X_152)
| q1(X_152,X_152,X_152) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_152)),bind(C,$fot(X_153)),bind(D,$fot(d))]]) ).
cnf(refute_0_38,plain,
q1(X_152,X_152,X_152),
inference(resolve,[$cnf( m0(X_153,d,X_152) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
q1(d,d,d),
inference(subst,[],[refute_0_38:[bind(X_152,$fot(d))]]) ).
cnf(refute_0_40,plain,
r1(X_188),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_39,refute_0_35]) ).
cnf(refute_0_41,plain,
r1(D),
inference(subst,[],[refute_0_40:[bind(X_188,$fot(D))]]) ).
cnf(refute_0_42,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| q2(C,D,C) ),
inference(resolve,[$cnf( r1(D) )],[refute_0_41,refute_0_31]) ).
cnf(refute_0_43,plain,
( ~ k0(X_1082)
| ~ m0(a,X_1084,a)
| q2(a,X_1082,a) ),
inference(subst,[],[refute_0_42:[bind(C,$fot(a)),bind(D,$fot(X_1082)),bind(E,$fot(a)),bind(F,$fot(X_1084))]]) ).
cnf(refute_0_44,plain,
( ~ k0(X_1082)
| q2(a,X_1082,a) ),
inference(resolve,[$cnf( m0(a,X_1084,a) )],[refute_0_26,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ k0(e)
| q2(a,e,a) ),
inference(subst,[],[refute_0_44:[bind(X_1082,$fot(e))]]) ).
cnf(refute_0_46,plain,
q2(a,e,a),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_45]) ).
cnf(refute_0_47,plain,
q4(a,e),
inference(resolve,[$cnf( q2(a,e,a) )],[refute_0_46,refute_0_25]) ).
cnf(refute_0_48,plain,
$false,
inference(resolve,[$cnf( q4(a,e) )],[refute_0_47,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN180-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 23:23:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.43/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.60
% 0.43/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.43/0.61
%------------------------------------------------------------------------------