TSTP Solution File: SYN328-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 09:01:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of clauses : 38 ( 10 unt; 18 nHn; 17 RR)
% Number of literals : 78 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 37 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
( f(y(X))
| f(X) ) ).
cnf(clause3,negated_conjecture,
( ~ g(y(X))
| f(X) ) ).
cnf(clause4,negated_conjecture,
( ~ f(y(X))
| h(y(X))
| ~ g(X) ) ).
cnf(clause6,negated_conjecture,
( ~ h(y(X))
| g(X) ) ).
cnf(clause9,negated_conjecture,
( ~ f(y(X))
| g(y(X))
| h(X) ) ).
cnf(clause10,negated_conjecture,
( ~ h(y(X))
| h(X) ) ).
cnf(clause11,negated_conjecture,
( ~ f(z(X))
| ~ g(z(X))
| ~ h(z(X)) ) ).
cnf(refute_0_0,plain,
( ~ h(y(X_21))
| h(X_21) ),
inference(subst,[],[clause10:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_1,plain,
( ~ h(y(y(X_20)))
| h(y(X_20)) ),
inference(subst,[],[clause10:[bind(X,$fot(y(X_20)))]]) ).
cnf(refute_0_2,plain,
( ~ f(y(X_17))
| g(y(X_17))
| h(X_17) ),
inference(subst,[],[clause9:[bind(X,$fot(X_17))]]) ).
cnf(refute_0_3,plain,
( ~ g(y(X_15))
| f(X_15) ),
inference(subst,[],[clause3:[bind(X,$fot(X_15))]]) ).
cnf(refute_0_4,plain,
( f(X_11)
| f(y(X_11)) ),
inference(subst,[],[clause2:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_5,plain,
( ~ f(y(X_11))
| g(y(X_11))
| h(X_11) ),
inference(subst,[],[clause9:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_6,plain,
( f(X_11)
| g(y(X_11))
| h(X_11) ),
inference(resolve,[$cnf( f(y(X_11)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( f(X_15)
| g(y(X_15))
| h(X_15) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(X_15))]]) ).
cnf(refute_0_8,plain,
( f(X_15)
| h(X_15) ),
inference(resolve,[$cnf( g(y(X_15)) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
( f(y(X))
| h(y(X)) ),
inference(subst,[],[refute_0_8:[bind(X_15,$fot(y(X)))]]) ).
cnf(refute_0_10,plain,
( f(y(X))
| h(X) ),
inference(resolve,[$cnf( h(y(X)) )],[refute_0_9,clause10]) ).
cnf(refute_0_11,plain,
( f(y(X_17))
| h(X_17) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_17))]]) ).
cnf(refute_0_12,plain,
( g(y(X_17))
| h(X_17) ),
inference(resolve,[$cnf( f(y(X_17)) )],[refute_0_11,refute_0_2]) ).
cnf(refute_0_13,plain,
( ~ f(y(X_17))
| ~ g(X_17)
| h(y(X_17)) ),
inference(subst,[],[clause4:[bind(X,$fot(X_17))]]) ).
cnf(refute_0_14,plain,
( ~ g(X_17)
| h(X_17)
| h(y(X_17)) ),
inference(resolve,[$cnf( f(y(X_17)) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ g(y(X_17))
| h(y(X_17))
| h(y(y(X_17))) ),
inference(subst,[],[refute_0_14:[bind(X_17,$fot(y(X_17)))]]) ).
cnf(refute_0_16,plain,
( h(X_17)
| h(y(X_17))
| h(y(y(X_17))) ),
inference(resolve,[$cnf( g(y(X_17)) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
( h(X_20)
| h(y(X_20))
| h(y(y(X_20))) ),
inference(subst,[],[refute_0_16:[bind(X_17,$fot(X_20))]]) ).
cnf(refute_0_18,plain,
( h(X_20)
| h(y(X_20)) ),
inference(resolve,[$cnf( h(y(y(X_20))) )],[refute_0_17,refute_0_1]) ).
cnf(refute_0_19,plain,
( h(X_21)
| h(y(X_21)) ),
inference(subst,[],[refute_0_18:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_20,plain,
h(X_21),
inference(resolve,[$cnf( h(y(X_21)) )],[refute_0_19,refute_0_0]) ).
cnf(refute_0_21,plain,
h(z(X)),
inference(subst,[],[refute_0_20:[bind(X_21,$fot(z(X)))]]) ).
cnf(refute_0_22,plain,
( ~ f(z(X))
| ~ g(z(X)) ),
inference(resolve,[$cnf( h(z(X)) )],[refute_0_21,clause11]) ).
cnf(refute_0_23,plain,
h(y(X)),
inference(subst,[],[refute_0_20:[bind(X_21,$fot(y(X)))]]) ).
cnf(refute_0_24,plain,
g(X),
inference(resolve,[$cnf( h(y(X)) )],[refute_0_23,clause6]) ).
cnf(refute_0_25,plain,
g(z(X)),
inference(subst,[],[refute_0_24:[bind(X,$fot(z(X)))]]) ).
cnf(refute_0_26,plain,
~ f(z(X)),
inference(resolve,[$cnf( g(z(X)) )],[refute_0_25,refute_0_22]) ).
cnf(refute_0_27,plain,
g(y(X)),
inference(subst,[],[refute_0_24:[bind(X,$fot(y(X)))]]) ).
cnf(refute_0_28,plain,
f(X),
inference(resolve,[$cnf( g(y(X)) )],[refute_0_27,clause3]) ).
cnf(refute_0_29,plain,
f(z(X)),
inference(subst,[],[refute_0_28:[bind(X,$fot(z(X)))]]) ).
cnf(refute_0_30,plain,
$false,
inference(resolve,[$cnf( f(z(X)) )],[refute_0_29,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 23:50:32 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34
% 0.18/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.34
%------------------------------------------------------------------------------