TSTP Solution File: SYN171-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN171-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 09:00:11 EDT 2022
% Result : Unsatisfiable 0.37s 0.59s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of clauses : 140 ( 56 unt; 0 nHn; 115 RR)
% Number of literals : 271 ( 0 equ; 132 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 127 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_35,axiom,
m0(d,e,c) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
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_120,axiom,
( q1(b,b,b)
| ~ r0(b) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_126,axiom,
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ) ).
cnf(rule_127,axiom,
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ) ).
cnf(rule_129,axiom,
( k2(J,J)
| ~ q1(A,J,J) ) ).
cnf(rule_133,axiom,
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ) ).
cnf(rule_135,axiom,
( m2(F)
| ~ s0(F)
| ~ l1(G,H) ) ).
cnf(rule_188,axiom,
( r2(G)
| ~ r1(G)
| ~ l0(G) ) ).
cnf(rule_190,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ) ).
cnf(rule_194,axiom,
( k3(F,F,G)
| ~ k2(G,F) ) ).
cnf(rule_231,axiom,
( m3(H,I,H)
| ~ r2(H)
| ~ k2(c,I) ) ).
cnf(rule_260,axiom,
( r3(G,H,H)
| ~ s2(H)
| ~ l2(c,G) ) ).
cnf(rule_268,axiom,
( r3(H,H,I)
| ~ m2(I)
| ~ m3(J,b,H)
| ~ r3(I,A,A) ) ).
cnf(rule_272,axiom,
( r3(J,A,B)
| ~ k2(A,B)
| ~ r2(B)
| ~ r3(B,J,J) ) ).
cnf(rule_287,axiom,
( p4(B,C,B)
| ~ k3(B,B,C) ) ).
cnf(rule_288,axiom,
( p4(H,I,I)
| ~ r3(I,I,H)
| ~ p4(J,J,A) ) ).
cnf(prove_this,negated_conjecture,
~ p4(d,a,a) ).
cnf(refute_0_0,plain,
m0(A,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(A)),bind(Y,$fot(A))]]) ).
cnf(refute_0_1,plain,
( ~ m0(e,d,A)
| q1(e,A,A) ),
inference(resolve,[$cnf( m0(A,d,A) )],[refute_0_0,rule_107]) ).
cnf(refute_0_2,plain,
m0(e,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(e)),bind(Y,$fot(A))]]) ).
cnf(refute_0_3,plain,
q1(e,A,A),
inference(resolve,[$cnf( m0(e,d,A) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
q1(e,X_80,X_80),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_80))]]) ).
cnf(refute_0_5,plain,
( ~ q1(e,X_80,X_80)
| k2(X_80,X_80) ),
inference(subst,[],[rule_129:[bind(A,$fot(e)),bind(J,$fot(X_80))]]) ).
cnf(refute_0_6,plain,
k2(X_80,X_80),
inference(resolve,[$cnf( q1(e,X_80,X_80) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
k2(X_86,X_86),
inference(subst,[],[refute_0_6:[bind(X_80,$fot(X_86))]]) ).
cnf(refute_0_8,plain,
( ~ k2(X_86,X_86)
| k3(X_86,X_86,X_86) ),
inference(subst,[],[rule_194:[bind(F,$fot(X_86)),bind(G,$fot(X_86))]]) ).
cnf(refute_0_9,plain,
k3(X_86,X_86,X_86),
inference(resolve,[$cnf( k2(X_86,X_86) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
k3(X_131,X_131,X_131),
inference(subst,[],[refute_0_9:[bind(X_86,$fot(X_131))]]) ).
cnf(refute_0_11,plain,
( ~ k3(X_131,X_131,X_131)
| p4(X_131,X_131,X_131) ),
inference(subst,[],[rule_287:[bind(B,$fot(X_131)),bind(C,$fot(X_131))]]) ).
cnf(refute_0_12,plain,
p4(X_131,X_131,X_131),
inference(resolve,[$cnf( k3(X_131,X_131,X_131) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
p4(X_583,X_583,X_583),
inference(subst,[],[refute_0_12:[bind(X_131,$fot(X_583))]]) ).
cnf(refute_0_14,plain,
( ~ p4(X_583,X_583,X_583)
| ~ r3(X_585,X_585,X_584)
| p4(X_584,X_585,X_585) ),
inference(subst,[],[rule_288:[bind(A,$fot(X_583)),bind(H,$fot(X_584)),bind(I,$fot(X_585)),bind(J,$fot(X_583))]]) ).
cnf(refute_0_15,plain,
( ~ r3(X_585,X_585,X_584)
| p4(X_584,X_585,X_585) ),
inference(resolve,[$cnf( p4(X_583,X_583,X_583) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ r3(a,a,d)
| p4(d,a,a) ),
inference(subst,[],[refute_0_15:[bind(X_584,$fot(d)),bind(X_585,$fot(a))]]) ).
cnf(refute_0_17,plain,
( ~ l0(X_190)
| ~ r1(X_190)
| r2(X_190) ),
inference(subst,[],[rule_188:[bind(G,$fot(X_190))]]) ).
cnf(refute_0_18,plain,
q0(X_188,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_188))]]) ).
cnf(refute_0_19,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_20,plain,
( ~ q0(X_188,d)
| ~ q1(d,d,d)
| r1(X_188) ),
inference(subst,[],[refute_0_19:[bind(D,$fot(X_188)),bind(E,$fot(d))]]) ).
cnf(refute_0_21,plain,
( ~ q1(d,d,d)
| r1(X_188) ),
inference(resolve,[$cnf( q0(X_188,d) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
m0(X_153,d,X_152),
inference(subst,[],[axiom_19:[bind(X,$fot(X_153)),bind(Y,$fot(X_152))]]) ).
cnf(refute_0_23,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,$fot(d))]]) ).
cnf(refute_0_24,plain,
q1(X_152,X_152,X_152),
inference(resolve,[$cnf( m0(X_153,d,X_152) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
q1(d,d,d),
inference(subst,[],[refute_0_24:[bind(X_152,$fot(d))]]) ).
cnf(refute_0_26,plain,
r1(X_188),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
r1(X_190),
inference(subst,[],[refute_0_26:[bind(X_188,$fot(X_190))]]) ).
cnf(refute_0_28,plain,
( ~ l0(X_190)
| r2(X_190) ),
inference(resolve,[$cnf( r1(X_190) )],[refute_0_27,refute_0_17]) ).
cnf(refute_0_29,plain,
( ~ l0(a)
| r2(a) ),
inference(subst,[],[refute_0_28:[bind(X_190,$fot(a))]]) ).
cnf(refute_0_30,plain,
r2(a),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ k2(c,b)
| ~ r2(H)
| m3(H,b,H) ),
inference(subst,[],[rule_231:[bind(I,$fot(b))]]) ).
cnf(refute_0_32,plain,
q1(b,b,b),
inference(resolve,[$cnf( r0(b) )],[axiom_9,rule_120]) ).
cnf(refute_0_33,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(b))]]) ).
cnf(refute_0_34,plain,
k2(b,b),
inference(resolve,[$cnf( q1(b,b,b) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ k0(X_162)
| ~ l0(a)
| m1(a,X_162,a) ),
inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_162))]]) ).
cnf(refute_0_36,plain,
( ~ k0(X_162)
| m1(a,X_162,a) ),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ k0(b)
| m1(a,b,a) ),
inference(subst,[],[refute_0_36:[bind(X_162,$fot(b))]]) ).
cnf(refute_0_38,plain,
m1(a,b,a),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ k1(X_722)
| ~ k2(X_722,b)
| ~ m1(a,b,a)
| k2(a,b) ),
inference(subst,[],[rule_127:[bind(C,$fot(a)),bind(D,$fot(b)),bind(E,$fot(a)),bind(F,$fot(X_722))]]) ).
cnf(refute_0_40,plain,
( ~ k1(X_722)
| ~ k2(X_722,b)
| k2(a,b) ),
inference(resolve,[$cnf( m1(a,b,a) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ k1(b)
| ~ k2(b,b)
| k2(a,b) ),
inference(subst,[],[refute_0_40:[bind(X_722,$fot(b))]]) ).
cnf(refute_0_42,plain,
( ~ k1(b)
| k2(a,b) ),
inference(resolve,[$cnf( k2(b,b) )],[refute_0_34,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_44,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_43]) ).
cnf(refute_0_45,plain,
k2(a,b),
inference(resolve,[$cnf( k1(b) )],[refute_0_44,refute_0_42]) ).
cnf(refute_0_46,plain,
( ~ k0(X_162)
| ~ l0(c)
| m1(c,X_162,c) ),
inference(subst,[],[rule_021:[bind(I,$fot(c)),bind(J,$fot(X_162))]]) ).
cnf(refute_0_47,plain,
( ~ k0(X_162)
| m1(c,X_162,c) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ k0(b)
| m1(c,b,c) ),
inference(subst,[],[refute_0_47:[bind(X_162,$fot(b))]]) ).
cnf(refute_0_49,plain,
m1(c,b,c),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ k1(X_722)
| ~ k2(X_722,b)
| ~ m1(c,b,c)
| k2(c,b) ),
inference(subst,[],[rule_127:[bind(C,$fot(c)),bind(D,$fot(b)),bind(E,$fot(c)),bind(F,$fot(X_722))]]) ).
cnf(refute_0_51,plain,
( ~ k1(X_722)
| ~ k2(X_722,b)
| k2(c,b) ),
inference(resolve,[$cnf( m1(c,b,c) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ k1(a)
| ~ k2(a,b)
| k2(c,b) ),
inference(subst,[],[refute_0_51:[bind(X_722,$fot(a))]]) ).
cnf(refute_0_53,plain,
( ~ k1(a)
| k2(c,b) ),
inference(resolve,[$cnf( k2(a,b) )],[refute_0_45,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_55,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_54]) ).
cnf(refute_0_56,plain,
k2(c,b),
inference(resolve,[$cnf( k1(a) )],[refute_0_55,refute_0_53]) ).
cnf(refute_0_57,plain,
( ~ r2(H)
| m3(H,b,H) ),
inference(resolve,[$cnf( k2(c,b) )],[refute_0_56,refute_0_31]) ).
cnf(refute_0_58,plain,
( ~ r2(a)
| m3(a,b,a) ),
inference(subst,[],[refute_0_57:[bind(H,$fot(a))]]) ).
cnf(refute_0_59,plain,
m3(a,b,a),
inference(resolve,[$cnf( r2(a) )],[refute_0_30,refute_0_58]) ).
cnf(refute_0_60,plain,
k2(X_654,X_654),
inference(subst,[],[refute_0_6:[bind(X_80,$fot(X_654))]]) ).
cnf(refute_0_61,plain,
( ~ k2(X_654,X_654)
| ~ r2(X_654)
| ~ r3(X_654,X_655,X_655)
| r3(X_655,X_654,X_654) ),
inference(subst,[],[rule_272:[bind(A,$fot(X_654)),bind(B,$fot(X_654)),bind(J,$fot(X_655))]]) ).
cnf(refute_0_62,plain,
( ~ r2(X_654)
| ~ r3(X_654,X_655,X_655)
| r3(X_655,X_654,X_654) ),
inference(resolve,[$cnf( k2(X_654,X_654) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ r2(c)
| ~ r3(c,d,d)
| r3(d,c,c) ),
inference(subst,[],[refute_0_62:[bind(X_654,$fot(c)),bind(X_655,$fot(d))]]) ).
cnf(refute_0_64,plain,
( ~ s1(a)
| s2(d) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_190]) ).
cnf(refute_0_65,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_66,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_67,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ q0(a,b)
| ~ s1(X_209)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_209))]]) ).
cnf(refute_0_69,plain,
( ~ s1(X_209)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_69:[bind(X_209,$fot(b))]]) ).
cnf(refute_0_71,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
s2(d),
inference(resolve,[$cnf( s1(a) )],[refute_0_71,refute_0_64]) ).
cnf(refute_0_73,plain,
( ~ l2(c,c)
| ~ s2(H)
| r3(c,H,H) ),
inference(subst,[],[rule_260:[bind(G,$fot(c))]]) ).
cnf(refute_0_74,plain,
q0(X_207,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_207))]]) ).
cnf(refute_0_75,plain,
( ~ q0(X_207,d)
| ~ s1(X_209)
| s1(X_207) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_207)),bind(G,$fot(d)),bind(H,$fot(X_209))]]) ).
cnf(refute_0_76,plain,
( ~ s1(X_209)
| s1(X_207) ),
inference(resolve,[$cnf( q0(X_207,d) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ s1(a)
| s1(X_213) ),
inference(subst,[],[refute_0_76:[bind(X_207,$fot(X_213)),bind(X_209,$fot(a))]]) ).
cnf(refute_0_78,plain,
s1(X_213),
inference(resolve,[$cnf( s1(a) )],[refute_0_71,refute_0_77]) ).
cnf(refute_0_79,plain,
s1(B),
inference(subst,[],[refute_0_78:[bind(X_213,$fot(B))]]) ).
cnf(refute_0_80,plain,
( ~ m0(C,B,J)
| ~ p0(A,A)
| l2(J,J) ),
inference(resolve,[$cnf( s1(B) )],[refute_0_79,rule_133]) ).
cnf(refute_0_81,plain,
( ~ m0(d,e,c)
| ~ p0(X_758,X_758)
| l2(c,c) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(X_758)),bind(B,$fot(e)),bind(C,$fot(d)),bind(J,$fot(c))]]) ).
cnf(refute_0_82,plain,
( ~ p0(X_758,X_758)
| l2(c,c) ),
inference(resolve,[$cnf( m0(d,e,c) )],[axiom_35,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ p0(b,b)
| l2(c,c) ),
inference(subst,[],[refute_0_82:[bind(X_758,$fot(b))]]) ).
cnf(refute_0_84,plain,
l2(c,c),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_65,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ s2(H)
| r3(c,H,H) ),
inference(resolve,[$cnf( l2(c,c) )],[refute_0_84,refute_0_73]) ).
cnf(refute_0_86,plain,
( ~ s2(d)
| r3(c,d,d) ),
inference(subst,[],[refute_0_85:[bind(H,$fot(d))]]) ).
cnf(refute_0_87,plain,
r3(c,d,d),
inference(resolve,[$cnf( s2(d) )],[refute_0_72,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ r2(c)
| r3(d,c,c) ),
inference(resolve,[$cnf( r3(c,d,d) )],[refute_0_87,refute_0_63]) ).
cnf(refute_0_89,plain,
( ~ l0(c)
| r2(c) ),
inference(subst,[],[refute_0_28:[bind(X_190,$fot(c))]]) ).
cnf(refute_0_90,plain,
r2(c),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_89]) ).
cnf(refute_0_91,plain,
r3(d,c,c),
inference(resolve,[$cnf( r2(c) )],[refute_0_90,refute_0_88]) ).
cnf(refute_0_92,plain,
( ~ m2(d)
| ~ m3(X_917,b,X_915)
| ~ r3(d,c,c)
| r3(X_915,X_915,d) ),
inference(subst,[],[rule_268:[bind(A,$fot(c)),bind(H,$fot(X_915)),bind(I,$fot(d)),bind(J,$fot(X_917))]]) ).
cnf(refute_0_93,plain,
( ~ m2(d)
| ~ m3(X_917,b,X_915)
| r3(X_915,X_915,d) ),
inference(resolve,[$cnf( r3(d,c,c) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).
cnf(refute_0_95,plain,
l1(a,a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ l1(a,a)
| ~ s0(X_217)
| m2(X_217) ),
inference(subst,[],[rule_135:[bind(F,$fot(X_217)),bind(G,$fot(a)),bind(H,$fot(a))]]) ).
cnf(refute_0_97,plain,
( ~ s0(X_217)
| m2(X_217) ),
inference(resolve,[$cnf( l1(a,a) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ s0(d)
| m2(d) ),
inference(subst,[],[refute_0_97:[bind(X_217,$fot(d))]]) ).
cnf(refute_0_99,plain,
m2(d),
inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_98]) ).
cnf(refute_0_100,plain,
( ~ m3(X_917,b,X_915)
| r3(X_915,X_915,d) ),
inference(resolve,[$cnf( m2(d) )],[refute_0_99,refute_0_93]) ).
cnf(refute_0_101,plain,
( ~ m3(a,b,a)
| r3(a,a,d) ),
inference(subst,[],[refute_0_100:[bind(X_915,$fot(a)),bind(X_917,$fot(a))]]) ).
cnf(refute_0_102,plain,
r3(a,a,d),
inference(resolve,[$cnf( m3(a,b,a) )],[refute_0_59,refute_0_101]) ).
cnf(refute_0_103,plain,
p4(d,a,a),
inference(resolve,[$cnf( r3(a,a,d) )],[refute_0_102,refute_0_16]) ).
cnf(refute_0_104,plain,
$false,
inference(resolve,[$cnf( p4(d,a,a) )],[refute_0_103,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN171-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.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 : Mon Jul 11 17:25:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.37/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.59
% 0.37/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.37/0.60
%------------------------------------------------------------------------------