TSTP Solution File: SYN216-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 09:00:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 18 unt; 0 nHn; 32 RR)
% Number of literals : 75 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_12,axiom,
m0(a,X,a) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(axiom_38,axiom,
m0(b,a,a) ).
cnf(rule_016,axiom,
( m1(H,I,I)
| ~ m1(J,I,H)
| ~ m1(J,A,I) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
cnf(rule_024,axiom,
( m1(F,a,G)
| ~ m0(a,H,a)
| ~ q0(F,G)
| ~ m1(G,c,G) ) ).
cnf(rule_029,axiom,
( m1(H,I,H)
| ~ p0(H,I)
| ~ s0(H) ) ).
cnf(rule_134,axiom,
( l2(G,G)
| ~ m0(H,G,I)
| ~ m1(I,H,H)
| ~ p0(H,G) ) ).
cnf(prove_this,negated_conjecture,
~ l2(a,a) ).
cnf(refute_0_0,plain,
p0(b,X_187),
inference(subst,[],[axiom_14:[bind(X,$fot(X_187))]]) ).
cnf(refute_0_1,plain,
( ~ p0(b,X_187)
| ~ s0(b)
| m1(b,X_187,b) ),
inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_187))]]) ).
cnf(refute_0_2,plain,
( ~ s0(b)
| m1(b,X_187,b) ),
inference(resolve,[$cnf( p0(b,X_187) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
m1(b,X_187,b),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_2]) ).
cnf(refute_0_4,plain,
m1(b,c,b),
inference(subst,[],[refute_0_3:[bind(X_187,$fot(c))]]) ).
cnf(refute_0_5,plain,
m0(a,H,a),
inference(subst,[],[axiom_12:[bind(X,$fot(H))]]) ).
cnf(refute_0_6,plain,
( ~ m1(G,c,G)
| ~ q0(F,G)
| m1(F,a,G) ),
inference(resolve,[$cnf( m0(a,H,a) )],[refute_0_5,rule_024]) ).
cnf(refute_0_7,plain,
( ~ m1(b,c,b)
| ~ q0(X_260,b)
| m1(X_260,a,b) ),
inference(subst,[],[refute_0_6:[bind(F,$fot(X_260)),bind(G,$fot(b))]]) ).
cnf(refute_0_8,plain,
( ~ q0(X_260,b)
| m1(X_260,a,b) ),
inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ q0(a,b)
| m1(a,a,b) ),
inference(subst,[],[refute_0_8:[bind(X_260,$fot(a))]]) ).
cnf(refute_0_10,plain,
m1(a,a,b),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ k0(X_166)
| ~ l0(a)
| m1(a,X_166,a) ),
inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_166))]]) ).
cnf(refute_0_12,plain,
( ~ k0(X_166)
| m1(a,X_166,a) ),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ k0(b)
| m1(a,b,a) ),
inference(subst,[],[refute_0_12:[bind(X_166,$fot(b))]]) ).
cnf(refute_0_14,plain,
m1(a,b,a),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ m1(a,X_440,b)
| ~ m1(a,b,a)
| m1(a,b,b) ),
inference(subst,[],[rule_016:[bind(A,$fot(X_440)),bind(H,$fot(a)),bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_16,plain,
( ~ m1(a,X_440,b)
| m1(a,b,b) ),
inference(resolve,[$cnf( m1(a,b,a) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ m1(a,a,b)
| m1(a,b,b) ),
inference(subst,[],[refute_0_16:[bind(X_440,$fot(a))]]) ).
cnf(refute_0_18,plain,
m1(a,b,b),
inference(resolve,[$cnf( m1(a,a,b) )],[refute_0_10,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ m0(b,X_655,a)
| ~ m1(a,b,b)
| ~ p0(b,X_655)
| l2(X_655,X_655) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_655)),bind(H,$fot(b)),bind(I,$fot(a))]]) ).
cnf(refute_0_20,plain,
( ~ m0(b,X_655,a)
| ~ p0(b,X_655)
| l2(X_655,X_655) ),
inference(resolve,[$cnf( m1(a,b,b) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
p0(b,X_655),
inference(subst,[],[axiom_14:[bind(X,$fot(X_655))]]) ).
cnf(refute_0_22,plain,
( ~ m0(b,X_655,a)
| l2(X_655,X_655) ),
inference(resolve,[$cnf( p0(b,X_655) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
( ~ m0(b,a,a)
| l2(a,a) ),
inference(subst,[],[refute_0_22:[bind(X_655,$fot(a))]]) ).
cnf(refute_0_24,plain,
l2(a,a),
inference(resolve,[$cnf( m0(b,a,a) )],[axiom_38,refute_0_23]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( l2(a,a) )],[refute_0_24,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n010.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 : Mon Jul 11 20:15:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.52
%------------------------------------------------------------------------------