%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN116-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 08:59:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 46 ( 22 unt; 0 nHn; 41 RR)
% Number of literals : 74 ( 0 equ; 35 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 37 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_075,axiom,
( p1(a,a,a)
| ~ p0(b,a) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_181,axiom,
( q2(I,I,I)
| ~ p1(I,I,I) ) ).
cnf(rule_189,axiom,
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ) ).
cnf(rule_244,axiom,
( p3(H,H,H)
| ~ n2(H) ) ).
cnf(rule_264,axiom,
( r3(H,H,H)
| ~ s2(H) ) ).
cnf(rule_299,axiom,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ) ).
cnf(rule_300,axiom,
( k5(E)
| ~ s4(F)
| ~ r3(G,E,E) ) ).
cnf(prove_this,negated_conjecture,
~ k5(b) ).
cnf(refute_0_0,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).
cnf(refute_0_1,plain,
l1(a,a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ n2(a)
| p3(a,a,a) ),
inference(subst,[],[rule_244:[bind(H,$fot(a))]]) ).
cnf(refute_0_3,plain,
p0(b,a),
inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).
cnf(refute_0_4,plain,
p1(a,a,a),
inference(resolve,[$cnf( p0(b,a) )],[refute_0_3,rule_075]) ).
cnf(refute_0_5,plain,
( ~ p1(a,a,a)
| n2(a) ),
inference(subst,[],[rule_137:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(a))]]) ).
cnf(refute_0_6,plain,
n2(a),
inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
p3(a,a,a),
inference(resolve,[$cnf( n2(a) )],[refute_0_6,refute_0_2]) ).
cnf(refute_0_8,plain,
( ~ s2(b)
| r3(b,b,b) ),
inference(subst,[],[rule_264:[bind(H,$fot(b))]]) ).
cnf(refute_0_9,plain,
( ~ p1(X_66,X_66,X_66)
| q2(X_66,X_66,X_66) ),
inference(subst,[],[rule_181:[bind(I,$fot(X_66))]]) ).
cnf(refute_0_10,plain,
p0(b,X_64),
inference(subst,[],[axiom_14:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_11,plain,
( ~ p0(b,X_64)
| p1(X_64,X_64,X_64) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_64)),bind(C,$fot(b))]]) ).
cnf(refute_0_12,plain,
p1(X_64,X_64,X_64),
inference(resolve,[$cnf( p0(b,X_64) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
p1(X_66,X_66,X_66),
inference(subst,[],[refute_0_12:[bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_14,plain,
q2(X_66,X_66,X_66),
inference(resolve,[$cnf( p1(X_66,X_66,X_66) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
q2(b,b,b),
inference(subst,[],[refute_0_14:[bind(X_66,$fot(b))]]) ).
cnf(refute_0_16,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_17,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_18,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_18,rule_189]) ).
cnf(refute_0_20,plain,
( ~ q2(b,b,b)
| s2(b) ),
inference(subst,[],[refute_0_19:[bind(H,$fot(b))]]) ).
cnf(refute_0_21,plain,
s2(b),
inference(resolve,[$cnf( q2(b,b,b) )],[refute_0_15,refute_0_20]) ).
cnf(refute_0_22,plain,
r3(b,b,b),
inference(resolve,[$cnf( s2(b) )],[refute_0_21,refute_0_8]) ).
cnf(refute_0_23,plain,
( ~ r3(b,b,b)
| ~ s4(X_247)
| k5(b) ),
inference(subst,[],[rule_300:[bind(E,$fot(b)),bind(F,$fot(X_247)),bind(G,$fot(b))]]) ).
cnf(refute_0_24,plain,
( ~ s4(X_247)
| k5(b) ),
inference(resolve,[$cnf( r3(b,b,b) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
~ s4(X_247),
inference(resolve,[$cnf( k5(b) )],[refute_0_24,prove_this]) ).
cnf(refute_0_26,plain,
~ s4(A),
inference(subst,[],[refute_0_25:[bind(X_247,$fot(A))]]) ).
cnf(refute_0_27,plain,
( ~ l1(A,C)
| ~ p3(B,C,D) ),
inference(resolve,[$cnf( s4(A) )],[rule_299,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ l1(X_336,a)
| ~ p3(a,a,a) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_336)),bind(B,$fot(a)),bind(C,$fot(a)),bind(D,$fot(a))]]) ).
cnf(refute_0_29,plain,
~ l1(X_336,a),
inference(resolve,[$cnf( p3(a,a,a) )],[refute_0_7,refute_0_28]) ).
cnf(refute_0_30,plain,
~ l1(a,a),
inference(subst,[],[refute_0_29:[bind(X_336,$fot(a))]]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( l1(a,a) )],[refute_0_1,refute_0_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN116-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.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 17:34:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51
% 0.20/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.51
%------------------------------------------------------------------------------