TSTP Solution File: SYN299-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN299-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 09:01:03 EDT 2022
% Result : Unsatisfiable 0.39s 0.55s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of clauses : 50 ( 23 unt; 0 nHn; 40 RR)
% Number of literals : 91 ( 0 equ; 42 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_4,axiom,
m0(e,d,a) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_040,axiom,
( n1(C,e,e)
| ~ m0(C,D,e)
| ~ k1(C) ) ).
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_181,axiom,
( q2(I,I,I)
| ~ p1(I,I,I) ) ).
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(b,a) ).
cnf(refute_0_0,plain,
( ~ k1(b)
| ~ m0(b,b,e)
| n1(b,e,e) ),
inference(subst,[],[rule_040:[bind(C,$fot(b)),bind(D,$fot(b))]]) ).
cnf(refute_0_1,plain,
( ~ k1(b)
| n1(b,e,e) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_3,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_2]) ).
cnf(refute_0_4,plain,
n1(b,e,e),
inference(resolve,[$cnf( k1(b) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
p0(b,X_66),
inference(subst,[],[axiom_14:[bind(X,$fot(X_66))]]) ).
cnf(refute_0_6,plain,
( ~ p0(b,X_66)
| p1(X_66,X_66,X_66) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_66)),bind(C,$fot(b))]]) ).
cnf(refute_0_7,plain,
p1(X_66,X_66,X_66),
inference(resolve,[$cnf( p0(b,X_66) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
p1(E,E,E),
inference(subst,[],[refute_0_7:[bind(X_66,$fot(E))]]) ).
cnf(refute_0_9,plain,
( ~ k0(F)
| q2(E,F,F) ),
inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_8,rule_177]) ).
cnf(refute_0_10,plain,
( ~ k0(e)
| q2(X_232,e,e) ),
inference(subst,[],[refute_0_9:[bind(E,$fot(X_232)),bind(F,$fot(e))]]) ).
cnf(refute_0_11,plain,
q2(X_232,e,e),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_10]) ).
cnf(refute_0_12,plain,
q2(X_830,e,e),
inference(subst,[],[refute_0_11:[bind(X_232,$fot(X_830))]]) ).
cnf(refute_0_13,plain,
( ~ n1(X_830,e,e)
| ~ p1(e,e,e)
| ~ q2(X_830,e,e)
| q2(e,X_830,e) ),
inference(subst,[],[rule_182:[bind(F,$fot(e)),bind(G,$fot(X_830)),bind(H,$fot(e))]]) ).
cnf(refute_0_14,plain,
( ~ n1(X_830,e,e)
| ~ p1(e,e,e)
| q2(e,X_830,e) ),
inference(resolve,[$cnf( q2(X_830,e,e) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
p1(e,e,e),
inference(subst,[],[refute_0_7:[bind(X_66,$fot(e))]]) ).
cnf(refute_0_16,plain,
( ~ n1(X_830,e,e)
| q2(e,X_830,e) ),
inference(resolve,[$cnf( p1(e,e,e) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
( ~ n1(b,e,e)
| q2(e,b,e) ),
inference(subst,[],[refute_0_16:[bind(X_830,$fot(b))]]) ).
cnf(refute_0_18,plain,
q2(e,b,e),
inference(resolve,[$cnf( n1(b,e,e) )],[refute_0_4,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ m0(e,X_882,X_884)
| ~ q2(e,b,e)
| ~ s2(b)
| s3(b,X_884) ),
inference(subst,[],[rule_273:[bind(A,$fot(e)),bind(B,$fot(X_882)),bind(I,$fot(b)),bind(J,$fot(X_884))]]) ).
cnf(refute_0_20,plain,
( ~ m0(e,X_882,X_884)
| ~ s2(b)
| s3(b,X_884) ),
inference(resolve,[$cnf( q2(e,b,e) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ p1(X_68,X_68,X_68)
| q2(X_68,X_68,X_68) ),
inference(subst,[],[rule_181:[bind(I,$fot(X_68))]]) ).
cnf(refute_0_22,plain,
p1(X_68,X_68,X_68),
inference(subst,[],[refute_0_7:[bind(X_66,$fot(X_68))]]) ).
cnf(refute_0_23,plain,
q2(X_68,X_68,X_68),
inference(resolve,[$cnf( p1(X_68,X_68,X_68) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
q2(b,b,b),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(b))]]) ).
cnf(refute_0_25,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_26,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_27,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_27,rule_189]) ).
cnf(refute_0_29,plain,
( ~ q2(b,b,b)
| s2(b) ),
inference(subst,[],[refute_0_28:[bind(H,$fot(b))]]) ).
cnf(refute_0_30,plain,
s2(b),
inference(resolve,[$cnf( q2(b,b,b) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ m0(e,X_882,X_884)
| s3(b,X_884) ),
inference(resolve,[$cnf( s2(b) )],[refute_0_30,refute_0_20]) ).
cnf(refute_0_32,plain,
( ~ m0(e,d,a)
| s3(b,a) ),
inference(subst,[],[refute_0_31:[bind(X_882,$fot(d)),bind(X_884,$fot(a))]]) ).
cnf(refute_0_33,plain,
s3(b,a),
inference(resolve,[$cnf( m0(e,d,a) )],[axiom_4,refute_0_32]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( s3(b,a) )],[refute_0_33,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN299-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 09:20:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.55
% 0.39/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.39/0.56
%------------------------------------------------------------------------------