TSTP Solution File: SYN137-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN137-1 : 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 08:59:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of clauses : 66 ( 28 unt; 0 nHn; 53 RR)
% Number of literals : 126 ( 0 equ; 61 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_11,axiom,
n0(e,b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_015,axiom,
( m1(B,C,C)
| ~ l0(D)
| ~ m0(C,C,B) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_126,axiom,
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ) ).
cnf(rule_131,axiom,
( l2(D,E)
| ~ s1(D)
| ~ n0(e,E)
| ~ l2(E,E) ) ).
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_189,axiom,
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ) ).
cnf(rule_237,axiom,
( m3(J,c,J)
| ~ s2(c)
| ~ q2(J,c,c) ) ).
cnf(prove_this,negated_conjecture,
~ m3(b,c,b) ).
cnf(refute_0_0,plain,
( ~ q2(b,c,c)
| ~ s2(c)
| m3(b,c,b) ),
inference(subst,[],[rule_237:[bind(J,$fot(b))]]) ).
cnf(refute_0_1,plain,
( ~ n0(d,c)
| k1(c) ),
inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_2,plain,
k1(c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ k1(E)
| ~ l2(E,D)
| q2(D,c,E) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_183]) ).
cnf(refute_0_4,plain,
( ~ k1(X_674)
| ~ l2(X_674,b)
| q2(b,c,X_674) ),
inference(subst,[],[refute_0_3:[bind(D,$fot(b)),bind(E,$fot(X_674))]]) ).
cnf(refute_0_5,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_6,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_7,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ q0(a,b)
| ~ s1(X_179)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_179))]]) ).
cnf(refute_0_9,plain,
( ~ s1(X_179)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_9:[bind(X_179,$fot(b))]]) ).
cnf(refute_0_11,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
q0(X_177,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_177))]]) ).
cnf(refute_0_13,plain,
( ~ q0(X_177,d)
| ~ s1(X_179)
| s1(X_177) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_177)),bind(G,$fot(d)),bind(H,$fot(X_179))]]) ).
cnf(refute_0_14,plain,
( ~ s1(X_179)
| s1(X_177) ),
inference(resolve,[$cnf( q0(X_177,d) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ s1(a)
| s1(X_183) ),
inference(subst,[],[refute_0_14:[bind(X_177,$fot(X_183)),bind(X_179,$fot(a))]]) ).
cnf(refute_0_16,plain,
s1(X_183),
inference(resolve,[$cnf( s1(a) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
s1(D),
inference(subst,[],[refute_0_16:[bind(X_183,$fot(D))]]) ).
cnf(refute_0_18,plain,
( ~ l2(E,E)
| ~ n0(e,E)
| l2(D,E) ),
inference(resolve,[$cnf( s1(D) )],[refute_0_17,rule_131]) ).
cnf(refute_0_19,plain,
( ~ l2(b,b)
| ~ n0(e,b)
| l2(X_340,b) ),
inference(subst,[],[refute_0_18:[bind(D,$fot(X_340)),bind(E,$fot(b))]]) ).
cnf(refute_0_20,plain,
( ~ l2(b,b)
| l2(X_340,b) ),
inference(resolve,[$cnf( n0(e,b) )],[axiom_11,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ l0(X_267)
| ~ m0(b,b,e)
| m1(e,b,b) ),
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_267))]]) ).
cnf(refute_0_22,plain,
( ~ l0(X_267)
| m1(e,b,b) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ l0(a)
| m1(e,b,b) ),
inference(subst,[],[refute_0_22:[bind(X_267,$fot(a))]]) ).
cnf(refute_0_24,plain,
m1(e,b,b),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ m0(b,X_665,e)
| ~ m1(e,b,b)
| ~ p0(b,X_665)
| l2(X_665,X_665) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_665)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_26,plain,
( ~ m0(b,X_665,e)
| ~ p0(b,X_665)
| l2(X_665,X_665) ),
inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
p0(b,X_665),
inference(subst,[],[axiom_14:[bind(X,$fot(X_665))]]) ).
cnf(refute_0_28,plain,
( ~ m0(b,X_665,e)
| l2(X_665,X_665) ),
inference(resolve,[$cnf( p0(b,X_665) )],[refute_0_27,refute_0_26]) ).
cnf(refute_0_29,plain,
( ~ m0(b,b,e)
| l2(b,b) ),
inference(subst,[],[refute_0_28:[bind(X_665,$fot(b))]]) ).
cnf(refute_0_30,plain,
l2(b,b),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_29]) ).
cnf(refute_0_31,plain,
l2(X_340,b),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_30,refute_0_20]) ).
cnf(refute_0_32,plain,
l2(X_674,b),
inference(subst,[],[refute_0_31:[bind(X_340,$fot(X_674))]]) ).
cnf(refute_0_33,plain,
( ~ k1(X_674)
| q2(b,c,X_674) ),
inference(resolve,[$cnf( l2(X_674,b) )],[refute_0_32,refute_0_4]) ).
cnf(refute_0_34,plain,
( ~ k1(c)
| q2(b,c,c) ),
inference(subst,[],[refute_0_33:[bind(X_674,$fot(c))]]) ).
cnf(refute_0_35,plain,
q2(b,c,c),
inference(resolve,[$cnf( k1(c) )],[refute_0_2,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ s2(c)
| m3(b,c,b) ),
inference(resolve,[$cnf( q2(b,c,c) )],[refute_0_35,refute_0_0]) ).
cnf(refute_0_37,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_7,rule_189]) ).
cnf(refute_0_38,plain,
( ~ q2(b,c,b)
| s2(c) ),
inference(subst,[],[refute_0_37:[bind(H,$fot(c))]]) ).
cnf(refute_0_39,plain,
( ~ k1(b)
| ~ l2(b,b)
| q2(b,c,b) ),
inference(subst,[],[refute_0_3:[bind(D,$fot(b)),bind(E,$fot(b))]]) ).
cnf(refute_0_40,plain,
( ~ k1(b)
| q2(b,c,b) ),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_30,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_42,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_41]) ).
cnf(refute_0_43,plain,
q2(b,c,b),
inference(resolve,[$cnf( k1(b) )],[refute_0_42,refute_0_40]) ).
cnf(refute_0_44,plain,
s2(c),
inference(resolve,[$cnf( q2(b,c,b) )],[refute_0_43,refute_0_38]) ).
cnf(refute_0_45,plain,
m3(b,c,b),
inference(resolve,[$cnf( s2(c) )],[refute_0_44,refute_0_36]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( m3(b,c,b) )],[refute_0_45,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SYN137-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n005.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 21:25:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54
% 0.20/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.55
%------------------------------------------------------------------------------