%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 : Sun Jul 17 03:18:24 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 11 unt; 0 nHn; 30 RR)
% Number of literals : 54 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
e(exist) ).
cnf(clause_2,negated_conjecture,
f(exist) ).
cnf(clause_3,axiom,
( s2least(X1)
| ~ c(X1) ) ).
cnf(clause_5,axiom,
( ~ s2least(X1)
| ~ equalish(u1r2(X1),u1r1(X1)) ) ).
cnf(clause_6,axiom,
( s(X1,u1r1(X1))
| ~ s2least(X1) ) ).
cnf(clause_7,axiom,
( s(X1,u1r2(X1))
| ~ s2least(X1) ) ).
cnf(clause_9,axiom,
( s1most(X1)
| ~ d(X1) ) ).
cnf(clause_11,axiom,
( equalish(X3,X2)
| ~ s1most(X1)
| ~ s(X1,X3)
| ~ s(X1,X2) ) ).
cnf(clause_15,axiom,
( c(X1)
| ~ e(X1) ) ).
cnf(clause_16,axiom,
( d(X1)
| ~ f(X1) ) ).
cnf(refute_0_0,plain,
( ~ equalish(u1r2(exist),u1r1(exist))
| ~ s2least(exist) ),
inference(subst,[],[clause_5:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_1,plain,
( ~ c(exist)
| s2least(exist) ),
inference(subst,[],[clause_3:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_2,plain,
( ~ e(exist)
| c(exist) ),
inference(subst,[],[clause_15:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_3,plain,
c(exist),
inference(resolve,[$cnf( e(exist) )],[clause_1,refute_0_2]) ).
cnf(refute_0_4,plain,
s2least(exist),
inference(resolve,[$cnf( c(exist) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ s2least(exist)
| s(exist,u1r1(exist)) ),
inference(subst,[],[clause_6:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_6,plain,
s(exist,u1r1(exist)),
inference(resolve,[$cnf( s2least(exist) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ s2least(exist)
| s(exist,u1r2(exist)) ),
inference(subst,[],[clause_7:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_8,plain,
s(exist,u1r2(exist)),
inference(resolve,[$cnf( s2least(exist) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ s(exist,X_22)
| ~ s(exist,u1r2(exist))
| ~ s1most(exist)
| equalish(u1r2(exist),X_22) ),
inference(subst,[],[clause_11:[bind(X1,$fot(exist)),bind(X2,$fot(X_22)),bind(X3,$fot(u1r2(exist)))]]) ).
cnf(refute_0_10,plain,
( ~ s(exist,X_22)
| ~ s1most(exist)
| equalish(u1r2(exist),X_22) ),
inference(resolve,[$cnf( s(exist,u1r2(exist)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ d(exist)
| s1most(exist) ),
inference(subst,[],[clause_9:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_12,plain,
( ~ f(exist)
| d(exist) ),
inference(subst,[],[clause_16:[bind(X1,$fot(exist))]]) ).
cnf(refute_0_13,plain,
d(exist),
inference(resolve,[$cnf( f(exist) )],[clause_2,refute_0_12]) ).
cnf(refute_0_14,plain,
s1most(exist),
inference(resolve,[$cnf( d(exist) )],[refute_0_13,refute_0_11]) ).
cnf(refute_0_15,plain,
( ~ s(exist,X_22)
| equalish(u1r2(exist),X_22) ),
inference(resolve,[$cnf( s1most(exist) )],[refute_0_14,refute_0_10]) ).
cnf(refute_0_16,plain,
( ~ s(exist,u1r1(exist))
| equalish(u1r2(exist),u1r1(exist)) ),
inference(subst,[],[refute_0_15:[bind(X_22,$fot(u1r1(exist)))]]) ).
cnf(refute_0_17,plain,
equalish(u1r2(exist),u1r1(exist)),
inference(resolve,[$cnf( s(exist,u1r1(exist)) )],[refute_0_6,refute_0_16]) ).
cnf(refute_0_18,plain,
~ s2least(exist),
inference(resolve,[$cnf( equalish(u1r2(exist),u1r1(exist)) )],[refute_0_17,refute_0_0]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( s2least(exist) )],[refute_0_4,refute_0_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.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 Jun 7 18:18:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------