TSTP Solution File: SYN178-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN178-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 09:00:14 EDT 2022
% Result : Unsatisfiable 0.43s 0.60s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 23 unt; 0 nHn; 24 RR)
% Number of literals : 76 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 58 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_7,axiom,
n0(d,b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_110,axiom,
( q1(B,B,B)
| ~ m0(C,D,B) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
cnf(rule_181,axiom,
( q2(I,I,I)
| ~ p1(I,I,I) ) ).
cnf(rule_187,axiom,
( q2(C,D,C)
| ~ r1(D)
| ~ m0(E,F,C)
| ~ k0(D)
| ~ q2(D,D,D) ) ).
cnf(rule_255,axiom,
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ) ).
cnf(prove_this,negated_conjecture,
~ q3(b,d) ).
cnf(refute_0_0,plain,
( ~ n0(X_1088,b)
| ~ q2(X_1088,b,X_1088)
| q3(b,X_1088) ),
inference(subst,[],[rule_255:[bind(G,$fot(b)),bind(H,$fot(X_1088)),bind(I,$fot(X_1088))]]) ).
cnf(refute_0_1,plain,
m0(X_1078,d,X_1076),
inference(subst,[],[axiom_19:[bind(X,$fot(X_1078)),bind(Y,$fot(X_1076))]]) ).
cnf(refute_0_2,plain,
( ~ p1(X_69,X_69,X_69)
| q2(X_69,X_69,X_69) ),
inference(subst,[],[rule_181:[bind(I,$fot(X_69))]]) ).
cnf(refute_0_3,plain,
p0(b,X_67),
inference(subst,[],[axiom_14:[bind(X,$fot(X_67))]]) ).
cnf(refute_0_4,plain,
( ~ p0(b,X_67)
| p1(X_67,X_67,X_67) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_67)),bind(C,$fot(b))]]) ).
cnf(refute_0_5,plain,
p1(X_67,X_67,X_67),
inference(resolve,[$cnf( p0(b,X_67) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
p1(X_69,X_69,X_69),
inference(subst,[],[refute_0_5:[bind(X_67,$fot(X_69))]]) ).
cnf(refute_0_7,plain,
q2(X_69,X_69,X_69),
inference(resolve,[$cnf( p1(X_69,X_69,X_69) )],[refute_0_6,refute_0_2]) ).
cnf(refute_0_8,plain,
q2(D,D,D),
inference(subst,[],[refute_0_7:[bind(X_69,$fot(D))]]) ).
cnf(refute_0_9,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
inference(resolve,[$cnf( q2(D,D,D) )],[refute_0_8,rule_187]) ).
cnf(refute_0_10,plain,
q0(X_193,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_193))]]) ).
cnf(refute_0_11,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_12,plain,
( ~ q0(X_193,d)
| ~ q1(d,d,d)
| r1(X_193) ),
inference(subst,[],[refute_0_11:[bind(D,$fot(X_193)),bind(E,$fot(d))]]) ).
cnf(refute_0_13,plain,
( ~ q1(d,d,d)
| r1(X_193) ),
inference(resolve,[$cnf( q0(X_193,d) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
m0(X_156,d,X_155),
inference(subst,[],[axiom_19:[bind(X,$fot(X_156)),bind(Y,$fot(X_155))]]) ).
cnf(refute_0_15,plain,
( ~ m0(X_156,d,X_155)
| q1(X_155,X_155,X_155) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_155)),bind(C,$fot(X_156)),bind(D,$fot(d))]]) ).
cnf(refute_0_16,plain,
q1(X_155,X_155,X_155),
inference(resolve,[$cnf( m0(X_156,d,X_155) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
q1(d,d,d),
inference(subst,[],[refute_0_16:[bind(X_155,$fot(d))]]) ).
cnf(refute_0_18,plain,
r1(X_193),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_17,refute_0_13]) ).
cnf(refute_0_19,plain,
r1(D),
inference(subst,[],[refute_0_18:[bind(X_193,$fot(D))]]) ).
cnf(refute_0_20,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| q2(C,D,C) ),
inference(resolve,[$cnf( r1(D) )],[refute_0_19,refute_0_9]) ).
cnf(refute_0_21,plain,
( ~ k0(X_1077)
| ~ m0(X_1078,d,X_1076)
| q2(X_1076,X_1077,X_1076) ),
inference(subst,[],[refute_0_20:[bind(C,$fot(X_1076)),bind(D,$fot(X_1077)),bind(E,$fot(X_1078)),bind(F,$fot(d))]]) ).
cnf(refute_0_22,plain,
( ~ k0(X_1077)
| q2(X_1076,X_1077,X_1076) ),
inference(resolve,[$cnf( m0(X_1078,d,X_1076) )],[refute_0_1,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ k0(b)
| q2(X_1083,b,X_1083) ),
inference(subst,[],[refute_0_22:[bind(X_1076,$fot(X_1083)),bind(X_1077,$fot(b))]]) ).
cnf(refute_0_24,plain,
q2(X_1083,b,X_1083),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_23]) ).
cnf(refute_0_25,plain,
q2(X_1088,b,X_1088),
inference(subst,[],[refute_0_24:[bind(X_1083,$fot(X_1088))]]) ).
cnf(refute_0_26,plain,
( ~ n0(X_1088,b)
| q3(b,X_1088) ),
inference(resolve,[$cnf( q2(X_1088,b,X_1088) )],[refute_0_25,refute_0_0]) ).
cnf(refute_0_27,plain,
( ~ n0(d,b)
| q3(b,d) ),
inference(subst,[],[refute_0_26:[bind(X_1088,$fot(d))]]) ).
cnf(refute_0_28,plain,
q3(b,d),
inference(resolve,[$cnf( n0(d,b) )],[axiom_7,refute_0_27]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( q3(b,d) )],[refute_0_28,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN178-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.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 20:15:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.43/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.60
% 0.43/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.45/0.60
%------------------------------------------------------------------------------