%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 08:59:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 11 unt; 0 nHn; 26 RR)
% Number of literals : 48 ( 0 equ; 26 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_18,axiom,
p0(c,b) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_035,axiom,
( m1(I,J,I)
| ~ r0(I)
| ~ l0(J) ) ).
cnf(rule_095,axiom,
( q1(F,G,G)
| ~ p0(G,F) ) ).
cnf(rule_127,axiom,
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ) ).
cnf(rule_129,axiom,
( k2(J,J)
| ~ q1(A,J,J) ) ).
cnf(prove_this,negated_conjecture,
~ k2(b,c) ).
cnf(refute_0_0,plain,
( ~ p0(c,b)
| q1(b,c,c) ),
inference(subst,[],[rule_095:[bind(F,$fot(b)),bind(G,$fot(c))]]) ).
cnf(refute_0_1,plain,
q1(b,c,c),
inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ q1(b,c,c)
| k2(c,c) ),
inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(c))]]) ).
cnf(refute_0_3,plain,
k2(c,c),
inference(resolve,[$cnf( q1(b,c,c) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ l0(X_181)
| ~ r0(b)
| m1(b,X_181,b) ),
inference(subst,[],[rule_035:[bind(I,$fot(b)),bind(J,$fot(X_181))]]) ).
cnf(refute_0_5,plain,
( ~ l0(X_181)
| m1(b,X_181,b) ),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ l0(c)
| m1(b,c,b) ),
inference(subst,[],[refute_0_5:[bind(X_181,$fot(c))]]) ).
cnf(refute_0_7,plain,
m1(b,c,b),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ k1(X_727)
| ~ k2(X_727,c)
| ~ m1(b,c,b)
| k2(b,c) ),
inference(subst,[],[rule_127:[bind(C,$fot(b)),bind(D,$fot(c)),bind(E,$fot(b)),bind(F,$fot(X_727))]]) ).
cnf(refute_0_9,plain,
( ~ k1(X_727)
| ~ k2(X_727,c)
| k2(b,c) ),
inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ k1(X_727)
| ~ k2(X_727,c) ),
inference(resolve,[$cnf( k2(b,c) )],[refute_0_9,prove_this]) ).
cnf(refute_0_11,plain,
( ~ k1(c)
| ~ k2(c,c) ),
inference(subst,[],[refute_0_10:[bind(X_727,$fot(c))]]) ).
cnf(refute_0_12,plain,
~ k1(c),
inference(resolve,[$cnf( k2(c,c) )],[refute_0_3,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ n0(d,c)
| k1(c) ),
inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_14,plain,
k1(c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_13]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( k1(c) )],[refute_0_14,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 23:16:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52
% 0.20/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.52
%------------------------------------------------------------------------------