%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN272-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 09:00:53 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of clauses : 51 ( 24 unt; 0 nHn; 41 RR)
% Number of literals : 93 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_007,axiom,
( m1(G,H,G)
| ~ p0(I,H)
| ~ r0(G) ) ).
cnf(rule_029,axiom,
( m1(H,I,H)
| ~ p0(H,I)
| ~ s0(H) ) ).
cnf(rule_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ) ).
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(rule_194,axiom,
( k3(F,F,G)
| ~ k2(G,F) ) ).
cnf(rule_287,axiom,
( p4(B,C,B)
| ~ k3(B,B,C) ) ).
cnf(prove_this,negated_conjecture,
~ p4(d,e,X) ).
cnf(refute_0_0,plain,
( ~ k3(d,d,e)
| p4(d,e,d) ),
inference(subst,[],[rule_287:[bind(B,$fot(d)),bind(C,$fot(e))]]) ).
cnf(refute_0_1,plain,
( ~ k2(e,d)
| k3(d,d,e) ),
inference(subst,[],[rule_194:[bind(F,$fot(d)),bind(G,$fot(e))]]) ).
cnf(refute_0_2,plain,
( ~ s0(d)
| q1(d,d,d) ),
inference(resolve,[$cnf( k0(e) )],[axiom_28,rule_117]) ).
cnf(refute_0_3,plain,
q1(d,d,d),
inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ q1(d,d,d)
| k2(d,d) ),
inference(subst,[],[rule_129:[bind(A,$fot(d)),bind(J,$fot(d))]]) ).
cnf(refute_0_5,plain,
k2(d,d),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
p0(b,X_180),
inference(subst,[],[axiom_14:[bind(X,$fot(X_180))]]) ).
cnf(refute_0_7,plain,
( ~ p0(b,X_180)
| ~ s0(b)
| m1(b,X_180,b) ),
inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_180))]]) ).
cnf(refute_0_8,plain,
( ~ s0(b)
| m1(b,X_180,b) ),
inference(resolve,[$cnf( p0(b,X_180) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
m1(b,X_180,b),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_8]) ).
cnf(refute_0_10,plain,
m1(b,X_742,b),
inference(subst,[],[refute_0_9:[bind(X_180,$fot(X_742))]]) ).
cnf(refute_0_11,plain,
( ~ k1(X_744)
| ~ k2(X_744,X_742)
| ~ m1(b,X_742,b)
| k2(b,X_742) ),
inference(subst,[],[rule_127:[bind(C,$fot(b)),bind(D,$fot(X_742)),bind(E,$fot(b)),bind(F,$fot(X_744))]]) ).
cnf(refute_0_12,plain,
( ~ k1(X_744)
| ~ k2(X_744,X_742)
| k2(b,X_742) ),
inference(resolve,[$cnf( m1(b,X_742,b) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ k1(d)
| ~ k2(d,d)
| k2(b,d) ),
inference(subst,[],[refute_0_12:[bind(X_742,$fot(d)),bind(X_744,$fot(d))]]) ).
cnf(refute_0_14,plain,
( ~ k1(d)
| k2(b,d) ),
inference(resolve,[$cnf( k2(d,d) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ n0(c,d)
| k1(d) ),
inference(subst,[],[rule_001:[bind(I,$fot(d)),bind(J,$fot(c))]]) ).
cnf(refute_0_16,plain,
k1(d),
inference(resolve,[$cnf( n0(c,d) )],[axiom_34,refute_0_15]) ).
cnf(refute_0_17,plain,
k2(b,d),
inference(resolve,[$cnf( k1(d) )],[refute_0_16,refute_0_14]) ).
cnf(refute_0_18,plain,
p0(b,X_273),
inference(subst,[],[axiom_14:[bind(X,$fot(X_273))]]) ).
cnf(refute_0_19,plain,
( ~ p0(b,X_273)
| ~ r0(X_272)
| m1(X_272,X_273,X_272) ),
inference(subst,[],[rule_007:[bind(G,$fot(X_272)),bind(H,$fot(X_273)),bind(I,$fot(b))]]) ).
cnf(refute_0_20,plain,
( ~ r0(X_272)
| m1(X_272,X_273,X_272) ),
inference(resolve,[$cnf( p0(b,X_273) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ r0(e)
| m1(e,X_276,e) ),
inference(subst,[],[refute_0_20:[bind(X_272,$fot(e)),bind(X_273,$fot(X_276))]]) ).
cnf(refute_0_22,plain,
m1(e,X_276,e),
inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_21]) ).
cnf(refute_0_23,plain,
m1(e,X_742,e),
inference(subst,[],[refute_0_22:[bind(X_276,$fot(X_742))]]) ).
cnf(refute_0_24,plain,
( ~ k1(X_744)
| ~ k2(X_744,X_742)
| ~ m1(e,X_742,e)
| k2(e,X_742) ),
inference(subst,[],[rule_127:[bind(C,$fot(e)),bind(D,$fot(X_742)),bind(E,$fot(e)),bind(F,$fot(X_744))]]) ).
cnf(refute_0_25,plain,
( ~ k1(X_744)
| ~ k2(X_744,X_742)
| k2(e,X_742) ),
inference(resolve,[$cnf( m1(e,X_742,e) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ k1(b)
| ~ k2(b,d)
| k2(e,d) ),
inference(subst,[],[refute_0_25:[bind(X_742,$fot(d)),bind(X_744,$fot(b))]]) ).
cnf(refute_0_27,plain,
( ~ k1(b)
| k2(e,d) ),
inference(resolve,[$cnf( k2(b,d) )],[refute_0_17,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_29,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_28]) ).
cnf(refute_0_30,plain,
k2(e,d),
inference(resolve,[$cnf( k1(b) )],[refute_0_29,refute_0_27]) ).
cnf(refute_0_31,plain,
k3(d,d,e),
inference(resolve,[$cnf( k2(e,d) )],[refute_0_30,refute_0_1]) ).
cnf(refute_0_32,plain,
p4(d,e,d),
inference(resolve,[$cnf( k3(d,d,e) )],[refute_0_31,refute_0_0]) ).
cnf(refute_0_33,plain,
~ p4(d,e,d),
inference(subst,[],[prove_this:[bind(X,$fot(d))]]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( p4(d,e,d) )],[refute_0_32,refute_0_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN272-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n016.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 00:50:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.38/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.56
% 0.38/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.38/0.56
%------------------------------------------------------------------------------