TSTP Solution File: SYN121-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN121-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 08:59:49 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 19 unt; 0 nHn; 29 RR)
% Number of literals : 77 ( 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_11,axiom,
n0(e,b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(axiom_36,axiom,
q0(a,b) ).
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(prove_this,negated_conjecture,
~ l2(a,b) ).
cnf(refute_0_0,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_1,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_2,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ q0(a,b)
| ~ s1(X_211)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_211))]]) ).
cnf(refute_0_4,plain,
( ~ s1(X_211)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_4:[bind(X_211,$fot(b))]]) ).
cnf(refute_0_6,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
q0(X_209,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_209))]]) ).
cnf(refute_0_8,plain,
( ~ q0(X_209,d)
| ~ s1(X_211)
| s1(X_209) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_209)),bind(G,$fot(d)),bind(H,$fot(X_211))]]) ).
cnf(refute_0_9,plain,
( ~ s1(X_211)
| s1(X_209) ),
inference(resolve,[$cnf( q0(X_209,d) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ s1(a)
| s1(X_215) ),
inference(subst,[],[refute_0_9:[bind(X_209,$fot(X_215)),bind(X_211,$fot(a))]]) ).
cnf(refute_0_11,plain,
s1(X_215),
inference(resolve,[$cnf( s1(a) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
s1(D),
inference(subst,[],[refute_0_11:[bind(X_215,$fot(D))]]) ).
cnf(refute_0_13,plain,
( ~ l2(E,E)
| ~ n0(e,E)
| l2(D,E) ),
inference(resolve,[$cnf( s1(D) )],[refute_0_12,rule_131]) ).
cnf(refute_0_14,plain,
( ~ l2(b,b)
| ~ n0(e,b)
| l2(X_343,b) ),
inference(subst,[],[refute_0_13:[bind(D,$fot(X_343)),bind(E,$fot(b))]]) ).
cnf(refute_0_15,plain,
( ~ l2(b,b)
| l2(X_343,b) ),
inference(resolve,[$cnf( n0(e,b) )],[axiom_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ l0(X_298)
| ~ m0(b,b,e)
| m1(e,b,b) ),
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_298))]]) ).
cnf(refute_0_17,plain,
( ~ l0(X_298)
| m1(e,b,b) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ l0(a)
| m1(e,b,b) ),
inference(subst,[],[refute_0_17:[bind(X_298,$fot(a))]]) ).
cnf(refute_0_19,plain,
m1(e,b,b),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ m0(b,X_666,e)
| ~ m1(e,b,b)
| ~ p0(b,X_666)
| l2(X_666,X_666) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_666)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_21,plain,
( ~ m0(b,X_666,e)
| ~ p0(b,X_666)
| l2(X_666,X_666) ),
inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
p0(b,X_666),
inference(subst,[],[axiom_14:[bind(X,$fot(X_666))]]) ).
cnf(refute_0_23,plain,
( ~ m0(b,X_666,e)
| l2(X_666,X_666) ),
inference(resolve,[$cnf( p0(b,X_666) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
( ~ m0(b,b,e)
| l2(b,b) ),
inference(subst,[],[refute_0_23:[bind(X_666,$fot(b))]]) ).
cnf(refute_0_25,plain,
l2(b,b),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_24]) ).
cnf(refute_0_26,plain,
l2(X_343,b),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_25,refute_0_15]) ).
cnf(refute_0_27,plain,
l2(a,b),
inference(subst,[],[refute_0_26:[bind(X_343,$fot(a))]]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( l2(a,b) )],[refute_0_27,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN121-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.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 06:00:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.51
%------------------------------------------------------------------------------