%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN194-1 : 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 09:00:21 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 20 unt; 0 nHn; 31 RR)
% Number of literals : 69 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_18,axiom,
p0(c,b) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_006,axiom,
( m1(J,J,J)
| ~ m0(A,A,J) ) ).
cnf(rule_069,axiom,
( p1(B,B,C)
| ~ p0(C,B) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_150,axiom,
( p2(F,F,F)
| ~ m1(G,G,F) ) ).
cnf(rule_240,axiom,
( n3(D)
| ~ p2(E,F,D) ) ).
cnf(rule_244,axiom,
( p3(H,H,H)
| ~ n2(H) ) ).
cnf(rule_299,axiom,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ) ).
cnf(rule_327,axiom,
( r5(C,D)
| ~ s4(C)
| ~ k0(b)
| ~ n3(D) ) ).
cnf(prove_this,negated_conjecture,
~ r5(c,c) ).
cnf(refute_0_0,plain,
( ~ n3(D)
| ~ s4(C)
| r5(C,D) ),
inference(resolve,[$cnf( k0(b) )],[axiom_32,rule_327]) ).
cnf(refute_0_1,plain,
( ~ p2(X_118,X_118,X_118)
| n3(X_118) ),
inference(subst,[],[rule_240:[bind(D,$fot(X_118)),bind(E,$fot(X_118)),bind(F,$fot(X_118))]]) ).
cnf(refute_0_2,plain,
m0(d,d,X_100),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_100))]]) ).
cnf(refute_0_3,plain,
( ~ m0(d,d,X_100)
| m1(X_100,X_100,X_100) ),
inference(subst,[],[rule_006:[bind(A,$fot(d)),bind(J,$fot(X_100))]]) ).
cnf(refute_0_4,plain,
m1(X_100,X_100,X_100),
inference(resolve,[$cnf( m0(d,d,X_100) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
m1(X_116,X_116,X_116),
inference(subst,[],[refute_0_4:[bind(X_100,$fot(X_116))]]) ).
cnf(refute_0_6,plain,
( ~ m1(X_116,X_116,X_116)
| p2(X_116,X_116,X_116) ),
inference(subst,[],[rule_150:[bind(F,$fot(X_116)),bind(G,$fot(X_116))]]) ).
cnf(refute_0_7,plain,
p2(X_116,X_116,X_116),
inference(resolve,[$cnf( m1(X_116,X_116,X_116) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
p2(X_118,X_118,X_118),
inference(subst,[],[refute_0_7:[bind(X_116,$fot(X_118))]]) ).
cnf(refute_0_9,plain,
n3(X_118),
inference(resolve,[$cnf( p2(X_118,X_118,X_118) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
n3(D),
inference(subst,[],[refute_0_9:[bind(X_118,$fot(D))]]) ).
cnf(refute_0_11,plain,
( ~ s4(C)
| r5(C,D) ),
inference(resolve,[$cnf( n3(D) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,plain,
( ~ s4(c)
| r5(c,D) ),
inference(subst,[],[refute_0_11:[bind(C,$fot(c))]]) ).
cnf(refute_0_13,plain,
( ~ n0(d,c)
| l1(c,c) ),
inference(subst,[],[rule_002:[bind(G,$fot(c)),bind(H,$fot(d))]]) ).
cnf(refute_0_14,plain,
l1(c,c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ n2(c)
| p3(c,c,c) ),
inference(subst,[],[rule_244:[bind(H,$fot(c))]]) ).
cnf(refute_0_16,plain,
( ~ p0(c,b)
| p1(b,b,c) ),
inference(subst,[],[rule_069:[bind(B,$fot(b)),bind(C,$fot(c))]]) ).
cnf(refute_0_17,plain,
p1(b,b,c),
inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p1(b,b,c)
| n2(c) ),
inference(subst,[],[rule_137:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).
cnf(refute_0_19,plain,
n2(c),
inference(resolve,[$cnf( p1(b,b,c) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
p3(c,c,c),
inference(resolve,[$cnf( n2(c) )],[refute_0_19,refute_0_15]) ).
cnf(refute_0_21,plain,
( ~ l1(X_344,c)
| ~ p3(c,c,c)
| s4(X_344) ),
inference(subst,[],[rule_299:[bind(A,$fot(X_344)),bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(c))]]) ).
cnf(refute_0_22,plain,
( ~ l1(X_344,c)
| s4(X_344) ),
inference(resolve,[$cnf( p3(c,c,c) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ l1(c,c)
| s4(c) ),
inference(subst,[],[refute_0_22:[bind(X_344,$fot(c))]]) ).
cnf(refute_0_24,plain,
s4(c),
inference(resolve,[$cnf( l1(c,c) )],[refute_0_14,refute_0_23]) ).
cnf(refute_0_25,plain,
r5(c,D),
inference(resolve,[$cnf( s4(c) )],[refute_0_24,refute_0_12]) ).
cnf(refute_0_26,plain,
r5(c,c),
inference(subst,[],[refute_0_25:[bind(D,$fot(c))]]) ).
cnf(refute_0_27,plain,
$false,
inference(resolve,[$cnf( r5(c,c) )],[refute_0_26,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN194-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.15/0.34 % Computer : n010.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 600
% 0.15/0.34 % DateTime : Mon Jul 11 22:35:15 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50
% 0.21/0.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.50
%------------------------------------------------------------------------------