TSTP Solution File: SYN202-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN202-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 09:00:24 EDT 2022
% Result : Unsatisfiable 0.47s 0.65s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 22 unt; 0 nHn; 27 RR)
% Number of literals : 77 ( 0 equ; 35 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 47 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
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_189,axiom,
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ) ).
cnf(prove_this,negated_conjecture,
~ s2(e) ).
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,[$cnf( p0(b,b) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_2,rule_189]) ).
cnf(refute_0_4,plain,
( ~ q2(b,e,b)
| s2(e) ),
inference(subst,[],[refute_0_3:[bind(H,$fot(e))]]) ).
cnf(refute_0_5,plain,
m0(X_1083,d,X_1081),
inference(subst,[],[axiom_19:[bind(X,$fot(X_1083)),bind(Y,$fot(X_1081))]]) ).
cnf(refute_0_6,plain,
( ~ p1(X_70,X_70,X_70)
| q2(X_70,X_70,X_70) ),
inference(subst,[],[rule_181:[bind(I,$fot(X_70))]]) ).
cnf(refute_0_7,plain,
p0(b,X_68),
inference(subst,[],[axiom_14:[bind(X,$fot(X_68))]]) ).
cnf(refute_0_8,plain,
( ~ p0(b,X_68)
| p1(X_68,X_68,X_68) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_68)),bind(C,$fot(b))]]) ).
cnf(refute_0_9,plain,
p1(X_68,X_68,X_68),
inference(resolve,[$cnf( p0(b,X_68) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
p1(X_70,X_70,X_70),
inference(subst,[],[refute_0_9:[bind(X_68,$fot(X_70))]]) ).
cnf(refute_0_11,plain,
q2(X_70,X_70,X_70),
inference(resolve,[$cnf( p1(X_70,X_70,X_70) )],[refute_0_10,refute_0_6]) ).
cnf(refute_0_12,plain,
q2(D,D,D),
inference(subst,[],[refute_0_11:[bind(X_70,$fot(D))]]) ).
cnf(refute_0_13,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
inference(resolve,[$cnf( q2(D,D,D) )],[refute_0_12,rule_187]) ).
cnf(refute_0_14,plain,
q0(X_148,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_148))]]) ).
cnf(refute_0_15,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_16,plain,
( ~ q0(X_148,d)
| ~ q1(d,d,d)
| r1(X_148) ),
inference(subst,[],[refute_0_15:[bind(D,$fot(X_148)),bind(E,$fot(d))]]) ).
cnf(refute_0_17,plain,
( ~ q1(d,d,d)
| r1(X_148) ),
inference(resolve,[$cnf( q0(X_148,d) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ s0(d)
| q1(d,d,d) ),
inference(resolve,[$cnf( k0(e) )],[axiom_28,rule_117]) ).
cnf(refute_0_19,plain,
q1(d,d,d),
inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_18]) ).
cnf(refute_0_20,plain,
r1(X_148),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_19,refute_0_17]) ).
cnf(refute_0_21,plain,
r1(D),
inference(subst,[],[refute_0_20:[bind(X_148,$fot(D))]]) ).
cnf(refute_0_22,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| q2(C,D,C) ),
inference(resolve,[$cnf( r1(D) )],[refute_0_21,refute_0_13]) ).
cnf(refute_0_23,plain,
( ~ k0(X_1082)
| ~ m0(X_1083,d,X_1081)
| q2(X_1081,X_1082,X_1081) ),
inference(subst,[],[refute_0_22:[bind(C,$fot(X_1081)),bind(D,$fot(X_1082)),bind(E,$fot(X_1083)),bind(F,$fot(d))]]) ).
cnf(refute_0_24,plain,
( ~ k0(X_1082)
| q2(X_1081,X_1082,X_1081) ),
inference(resolve,[$cnf( m0(X_1083,d,X_1081) )],[refute_0_5,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ k0(e)
| q2(X_1088,e,X_1088) ),
inference(subst,[],[refute_0_24:[bind(X_1081,$fot(X_1088)),bind(X_1082,$fot(e))]]) ).
cnf(refute_0_26,plain,
q2(X_1088,e,X_1088),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_25]) ).
cnf(refute_0_27,plain,
q2(b,e,b),
inference(subst,[],[refute_0_26:[bind(X_1088,$fot(b))]]) ).
cnf(refute_0_28,plain,
s2(e),
inference(resolve,[$cnf( q2(b,e,b) )],[refute_0_27,refute_0_4]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( s2(e) )],[refute_0_28,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYN202-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 16:27:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65
% 0.47/0.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.47/0.65
%------------------------------------------------------------------------------