TSTP Solution File: SYN207-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN207-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 09:00:26 EDT 2022
% Result : Unsatisfiable 0.42s 0.58s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 68 ( 28 unt; 0 nHn; 60 RR)
% Number of literals : 133 ( 0 equ; 66 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 : 56 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
n0(d,e) ).
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_23,axiom,
m0(a,e,e) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_27,axiom,
m0(e,b,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_133,axiom,
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ) ).
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_273,axiom,
( s3(I,J)
| ~ q2(A,I,A)
| ~ s2(I)
| ~ m0(A,B,J) ) ).
cnf(prove_this,negated_conjecture,
~ s3(c,c) ).
cnf(refute_0_0,plain,
( ~ k1(E)
| ~ l2(E,D)
| q2(D,c,E) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_183]) ).
cnf(refute_0_1,plain,
( ~ k1(e)
| ~ l2(e,e)
| q2(e,c,e) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(e)),bind(E,$fot(e))]]) ).
cnf(refute_0_2,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_3,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_4,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ q0(a,b)
| ~ s1(X_214)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_214))]]) ).
cnf(refute_0_6,plain,
( ~ s1(X_214)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_6:[bind(X_214,$fot(b))]]) ).
cnf(refute_0_8,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
q0(X_212,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_212))]]) ).
cnf(refute_0_10,plain,
( ~ q0(X_212,d)
| ~ s1(X_214)
| s1(X_212) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_212)),bind(G,$fot(d)),bind(H,$fot(X_214))]]) ).
cnf(refute_0_11,plain,
( ~ s1(X_214)
| s1(X_212) ),
inference(resolve,[$cnf( q0(X_212,d) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ s1(a)
| s1(X_218) ),
inference(subst,[],[refute_0_11:[bind(X_212,$fot(X_218)),bind(X_214,$fot(a))]]) ).
cnf(refute_0_13,plain,
s1(X_218),
inference(resolve,[$cnf( s1(a) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
s1(B),
inference(subst,[],[refute_0_13:[bind(X_218,$fot(B))]]) ).
cnf(refute_0_15,plain,
( ~ m0(C,B,J)
| ~ p0(A,A)
| l2(J,J) ),
inference(resolve,[$cnf( s1(B) )],[refute_0_14,rule_133]) ).
cnf(refute_0_16,plain,
( ~ m0(a,e,e)
| ~ p0(X_756,X_756)
| l2(e,e) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_756)),bind(B,$fot(e)),bind(C,$fot(a)),bind(J,$fot(e))]]) ).
cnf(refute_0_17,plain,
( ~ p0(X_756,X_756)
| l2(e,e) ),
inference(resolve,[$cnf( m0(a,e,e) )],[axiom_23,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p0(b,b)
| l2(e,e) ),
inference(subst,[],[refute_0_17:[bind(X_756,$fot(b))]]) ).
cnf(refute_0_19,plain,
l2(e,e),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ k1(e)
| q2(e,c,e) ),
inference(resolve,[$cnf( l2(e,e) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_22,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_21]) ).
cnf(refute_0_23,plain,
q2(e,c,e),
inference(resolve,[$cnf( k1(e) )],[refute_0_22,refute_0_20]) ).
cnf(refute_0_24,plain,
( ~ m0(e,X_879,X_881)
| ~ q2(e,c,e)
| ~ s2(c)
| s3(c,X_881) ),
inference(subst,[],[rule_273:[bind(A,$fot(e)),bind(B,$fot(X_879)),bind(I,$fot(c)),bind(J,$fot(X_881))]]) ).
cnf(refute_0_25,plain,
( ~ m0(e,X_879,X_881)
| ~ s2(c)
| s3(c,X_881) ),
inference(resolve,[$cnf( q2(e,c,e) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_4,rule_189]) ).
cnf(refute_0_27,plain,
( ~ q2(b,c,b)
| s2(c) ),
inference(subst,[],[refute_0_26:[bind(H,$fot(c))]]) ).
cnf(refute_0_28,plain,
( ~ k1(b)
| ~ l2(b,b)
| q2(b,c,b) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(b)),bind(E,$fot(b))]]) ).
cnf(refute_0_29,plain,
( ~ l0(X_292)
| ~ m0(b,b,e)
| m1(e,b,b) ),
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_292))]]) ).
cnf(refute_0_30,plain,
( ~ l0(X_292)
| m1(e,b,b) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ l0(a)
| m1(e,b,b) ),
inference(subst,[],[refute_0_30:[bind(X_292,$fot(a))]]) ).
cnf(refute_0_32,plain,
m1(e,b,b),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ m0(b,X_661,e)
| ~ m1(e,b,b)
| ~ p0(b,X_661)
| l2(X_661,X_661) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_661)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_34,plain,
( ~ m0(b,X_661,e)
| ~ p0(b,X_661)
| l2(X_661,X_661) ),
inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
p0(b,X_661),
inference(subst,[],[axiom_14:[bind(X,$fot(X_661))]]) ).
cnf(refute_0_36,plain,
( ~ m0(b,X_661,e)
| l2(X_661,X_661) ),
inference(resolve,[$cnf( p0(b,X_661) )],[refute_0_35,refute_0_34]) ).
cnf(refute_0_37,plain,
( ~ m0(b,b,e)
| l2(b,b) ),
inference(subst,[],[refute_0_36:[bind(X_661,$fot(b))]]) ).
cnf(refute_0_38,plain,
l2(b,b),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ k1(b)
| q2(b,c,b) ),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_38,refute_0_28]) ).
cnf(refute_0_40,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_41,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_40]) ).
cnf(refute_0_42,plain,
q2(b,c,b),
inference(resolve,[$cnf( k1(b) )],[refute_0_41,refute_0_39]) ).
cnf(refute_0_43,plain,
s2(c),
inference(resolve,[$cnf( q2(b,c,b) )],[refute_0_42,refute_0_27]) ).
cnf(refute_0_44,plain,
( ~ m0(e,X_879,X_881)
| s3(c,X_881) ),
inference(resolve,[$cnf( s2(c) )],[refute_0_43,refute_0_25]) ).
cnf(refute_0_45,plain,
( ~ m0(e,b,c)
| s3(c,c) ),
inference(subst,[],[refute_0_44:[bind(X_879,$fot(b)),bind(X_881,$fot(c))]]) ).
cnf(refute_0_46,plain,
s3(c,c),
inference(resolve,[$cnf( m0(e,b,c) )],[axiom_27,refute_0_45]) ).
cnf(refute_0_47,plain,
$false,
inference(resolve,[$cnf( s3(c,c) )],[refute_0_46,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN207-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n013.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 : Tue Jul 12 08:16:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.42/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58
% 0.42/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.42/0.59
%------------------------------------------------------------------------------