%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN141-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 08:59:58 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 42 ( 21 unt; 0 nHn; 35 RR)
% Number of literals : 73 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_18,axiom,
p0(c,b) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_27,axiom,
m0(e,b,c) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(rule_003,axiom,
( l1(C,D)
| ~ p0(E,C)
| ~ r0(F)
| ~ m0(D,C,E) ) ).
cnf(rule_006,axiom,
( m1(J,J,J)
| ~ m0(A,A,J) ) ).
cnf(rule_150,axiom,
( p2(F,F,F)
| ~ m1(G,G,F) ) ).
cnf(rule_186,axiom,
( q2(G,G,H)
| ~ l1(H,G) ) ).
cnf(rule_240,axiom,
( n3(D)
| ~ p2(E,F,D) ) ).
cnf(rule_255,axiom,
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ) ).
cnf(rule_274,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ) ).
cnf(rule_304,axiom,
( m5(C,C)
| ~ k4(C) ) ).
cnf(prove_this,negated_conjecture,
~ m5(c,X) ).
cnf(refute_0_0,plain,
( ~ k4(c)
| m5(c,c) ),
inference(subst,[],[rule_304:[bind(C,$fot(c))]]) ).
cnf(refute_0_1,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(resolve,[$cnf( n0(c,d) )],[axiom_34,rule_274]) ).
cnf(refute_0_2,plain,
( ~ n0(e,e)
| ~ q2(e,e,b)
| q3(e,b) ),
inference(subst,[],[rule_255:[bind(G,$fot(e)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_3,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(subst,[],[rule_186:[bind(G,$fot(e)),bind(H,$fot(b))]]) ).
cnf(refute_0_4,plain,
( ~ m0(e,b,c)
| ~ p0(c,b)
| ~ r0(X_707)
| l1(b,e) ),
inference(subst,[],[rule_003:[bind(C,$fot(b)),bind(D,$fot(e)),bind(E,$fot(c)),bind(F,$fot(X_707))]]) ).
cnf(refute_0_5,plain,
( ~ p0(c,b)
| ~ r0(X_707)
| l1(b,e) ),
inference(resolve,[$cnf( m0(e,b,c) )],[axiom_27,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ r0(X_707)
| l1(b,e) ),
inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ r0(b)
| l1(b,e) ),
inference(subst,[],[refute_0_6:[bind(X_707,$fot(b))]]) ).
cnf(refute_0_8,plain,
l1(b,e),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_7]) ).
cnf(refute_0_9,plain,
q2(e,e,b),
inference(resolve,[$cnf( l1(b,e) )],[refute_0_8,refute_0_3]) ).
cnf(refute_0_10,plain,
( ~ n0(e,e)
| q3(e,b) ),
inference(resolve,[$cnf( q2(e,e,b) )],[refute_0_9,refute_0_2]) ).
cnf(refute_0_11,plain,
q3(e,b),
inference(resolve,[$cnf( n0(e,e) )],[axiom_30,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ n3(e)
| k4(c) ),
inference(resolve,[$cnf( q3(e,b) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
m0(d,d,X_95),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_95))]]) ).
cnf(refute_0_14,plain,
( ~ m0(d,d,X_95)
| m1(X_95,X_95,X_95) ),
inference(subst,[],[rule_006:[bind(A,$fot(d)),bind(J,$fot(X_95))]]) ).
cnf(refute_0_15,plain,
m1(X_95,X_95,X_95),
inference(resolve,[$cnf( m0(d,d,X_95) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
m1(X_114,X_114,X_114),
inference(subst,[],[refute_0_15:[bind(X_95,$fot(X_114))]]) ).
cnf(refute_0_17,plain,
( ~ m1(X_114,X_114,X_114)
| p2(X_114,X_114,X_114) ),
inference(subst,[],[rule_150:[bind(F,$fot(X_114)),bind(G,$fot(X_114))]]) ).
cnf(refute_0_18,plain,
p2(X_114,X_114,X_114),
inference(resolve,[$cnf( m1(X_114,X_114,X_114) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
p2(X_122,X_122,X_122),
inference(subst,[],[refute_0_18:[bind(X_114,$fot(X_122))]]) ).
cnf(refute_0_20,plain,
( ~ p2(X_122,X_122,X_122)
| n3(X_122) ),
inference(subst,[],[rule_240:[bind(D,$fot(X_122)),bind(E,$fot(X_122)),bind(F,$fot(X_122))]]) ).
cnf(refute_0_21,plain,
n3(X_122),
inference(resolve,[$cnf( p2(X_122,X_122,X_122) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
n3(e),
inference(subst,[],[refute_0_21:[bind(X_122,$fot(e))]]) ).
cnf(refute_0_23,plain,
k4(c),
inference(resolve,[$cnf( n3(e) )],[refute_0_22,refute_0_12]) ).
cnf(refute_0_24,plain,
m5(c,c),
inference(resolve,[$cnf( k4(c) )],[refute_0_23,refute_0_0]) ).
cnf(refute_0_25,plain,
~ m5(c,c),
inference(subst,[],[prove_this:[bind(X,$fot(c))]]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( m5(c,c) )],[refute_0_24,refute_0_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN141-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 03:12:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.53
%------------------------------------------------------------------------------