%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN138-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 08:59:56 EDT 2022
% Result : Unsatisfiable 0.38s 0.55s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 49 ( 21 unt; 0 nHn; 41 RR)
% Number of literals : 93 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 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_1,axiom,
s0(d) ).
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
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_127,axiom,
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ) ).
cnf(rule_130,axiom,
( k2(e,e)
| ~ l1(e,e) ) ).
cnf(rule_188,axiom,
( r2(G)
| ~ r1(G)
| ~ l0(G) ) ).
cnf(rule_231,axiom,
( m3(H,I,H)
| ~ r2(H)
| ~ k2(c,I) ) ).
cnf(prove_this,negated_conjecture,
~ m3(c,e,c) ).
cnf(refute_0_0,plain,
( ~ l0(X_193)
| ~ r1(X_193)
| r2(X_193) ),
inference(subst,[],[rule_188:[bind(G,$fot(X_193))]]) ).
cnf(refute_0_1,plain,
q0(X_191,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_191))]]) ).
cnf(refute_0_2,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_3,plain,
( ~ q0(X_191,d)
| ~ q1(d,d,d)
| r1(X_191) ),
inference(subst,[],[refute_0_2:[bind(D,$fot(X_191)),bind(E,$fot(d))]]) ).
cnf(refute_0_4,plain,
( ~ q1(d,d,d)
| r1(X_191) ),
inference(resolve,[$cnf( q0(X_191,d) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
m0(X_153,d,X_152),
inference(subst,[],[axiom_19:[bind(X,$fot(X_153)),bind(Y,$fot(X_152))]]) ).
cnf(refute_0_6,plain,
( ~ m0(X_153,d,X_152)
| q1(X_152,X_152,X_152) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_152)),bind(C,$fot(X_153)),bind(D,$fot(d))]]) ).
cnf(refute_0_7,plain,
q1(X_152,X_152,X_152),
inference(resolve,[$cnf( m0(X_153,d,X_152) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
q1(d,d,d),
inference(subst,[],[refute_0_7:[bind(X_152,$fot(d))]]) ).
cnf(refute_0_9,plain,
r1(X_191),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_8,refute_0_4]) ).
cnf(refute_0_10,plain,
r1(X_193),
inference(subst,[],[refute_0_9:[bind(X_191,$fot(X_193))]]) ).
cnf(refute_0_11,plain,
( ~ l0(X_193)
| r2(X_193) ),
inference(resolve,[$cnf( r1(X_193) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,plain,
( ~ l0(c)
| r2(c) ),
inference(subst,[],[refute_0_11:[bind(X_193,$fot(c))]]) ).
cnf(refute_0_13,plain,
r2(c),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ k2(c,e)
| ~ r2(H)
| m3(H,e,H) ),
inference(subst,[],[rule_231:[bind(I,$fot(e))]]) ).
cnf(refute_0_15,plain,
( ~ n0(d,e)
| l1(e,e) ),
inference(subst,[],[rule_002:[bind(G,$fot(e)),bind(H,$fot(d))]]) ).
cnf(refute_0_16,plain,
l1(e,e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_15]) ).
cnf(refute_0_17,plain,
k2(e,e),
inference(resolve,[$cnf( l1(e,e) )],[refute_0_16,rule_130]) ).
cnf(refute_0_18,plain,
( ~ k0(X_165)
| ~ l0(c)
| m1(c,X_165,c) ),
inference(subst,[],[rule_021:[bind(I,$fot(c)),bind(J,$fot(X_165))]]) ).
cnf(refute_0_19,plain,
( ~ k0(X_165)
| m1(c,X_165,c) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ k0(e)
| m1(c,e,c) ),
inference(subst,[],[refute_0_19:[bind(X_165,$fot(e))]]) ).
cnf(refute_0_21,plain,
m1(c,e,c),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ k1(X_726)
| ~ k2(X_726,e)
| ~ m1(c,e,c)
| k2(c,e) ),
inference(subst,[],[rule_127:[bind(C,$fot(c)),bind(D,$fot(e)),bind(E,$fot(c)),bind(F,$fot(X_726))]]) ).
cnf(refute_0_23,plain,
( ~ k1(X_726)
| ~ k2(X_726,e)
| k2(c,e) ),
inference(resolve,[$cnf( m1(c,e,c) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ k1(e)
| ~ k2(e,e)
| k2(c,e) ),
inference(subst,[],[refute_0_23:[bind(X_726,$fot(e))]]) ).
cnf(refute_0_25,plain,
( ~ k1(e)
| k2(c,e) ),
inference(resolve,[$cnf( k2(e,e) )],[refute_0_17,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_27,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_26]) ).
cnf(refute_0_28,plain,
k2(c,e),
inference(resolve,[$cnf( k1(e) )],[refute_0_27,refute_0_25]) ).
cnf(refute_0_29,plain,
( ~ r2(H)
| m3(H,e,H) ),
inference(resolve,[$cnf( k2(c,e) )],[refute_0_28,refute_0_14]) ).
cnf(refute_0_30,plain,
( ~ r2(c)
| m3(c,e,c) ),
inference(subst,[],[refute_0_29:[bind(H,$fot(c))]]) ).
cnf(refute_0_31,plain,
m3(c,e,c),
inference(resolve,[$cnf( r2(c) )],[refute_0_13,refute_0_30]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( m3(c,e,c) )],[refute_0_31,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN138-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n005.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 : Tue Jul 12 04:54:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.38/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.55
% 0.38/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.38/0.55
%------------------------------------------------------------------------------