TSTP Solution File: SYN334-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 09:01:25 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of clauses : 47 ( 8 unt; 21 nHn; 26 RR)
% Number of literals : 97 ( 0 equ; 35 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 92 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(X,Y)
| f(X,z(X,Y))
| ~ g(Y,z(X,Y)) ) ).
cnf(clause2,negated_conjecture,
( ~ f(X,Y)
| ~ f(X,z(X,Y))
| g(Y,z(X,Y)) ) ).
cnf(clause3,negated_conjecture,
( ~ f(z(X,Y),z(X,Y))
| g(z(X,Y),z(X,Y))
| ~ f(X,Y) ) ).
cnf(clause4,negated_conjecture,
( f(z(X,Y),z(X,Y))
| f(X,Y) ) ).
cnf(clause5,negated_conjecture,
( ~ g(z(X,Y),z(X,Y))
| f(X,Y) ) ).
cnf(clause6,negated_conjecture,
( g(X,Y)
| g(z(X,Y),z(X,Y)) ) ).
cnf(clause7,negated_conjecture,
( ~ g(X,Y)
| ~ g(z(X,Y),z(X,Y)) ) ).
cnf(refute_0_0,plain,
( f(X_24,X_25)
| f(z(X_24,X_25),z(X_24,X_25)) ),
inference(subst,[],[clause4:[bind(X,$fot(X_24)),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_1,plain,
( ~ g(z(X_4,X_5),z(X_4,X_5))
| f(X_4,X_5) ),
inference(subst,[],[clause5:[bind(X,$fot(X_4)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_2,plain,
( g(X_4,X_5)
| g(z(X_4,X_5),z(X_4,X_5)) ),
inference(subst,[],[clause6:[bind(X,$fot(X_4)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_3,plain,
( f(X_4,X_5)
| g(X_4,X_5) ),
inference(resolve,[$cnf( g(z(X_4,X_5),z(X_4,X_5)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( f(X_15,z(X_14,X_15))
| g(X_15,z(X_14,X_15)) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_15)),bind(X_5,$fot(z(X_14,X_15)))]]) ).
cnf(refute_0_5,plain,
( ~ f(X_14,X_15)
| ~ g(X_15,z(X_14,X_15))
| f(X_14,z(X_14,X_15)) ),
inference(subst,[],[clause1:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_6,plain,
( ~ f(X_14,X_15)
| f(X_14,z(X_14,X_15))
| f(X_15,z(X_14,X_15)) ),
inference(resolve,[$cnf( g(X_15,z(X_14,X_15)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ f(z(X,Y),z(X,Y))
| f(z(X,Y),z(z(X,Y),z(X,Y))) ),
inference(subst,[],[refute_0_6:[bind(X_14,$fot(z(X,Y))),bind(X_15,$fot(z(X,Y)))]]) ).
cnf(refute_0_8,plain,
( f(X,Y)
| f(z(X,Y),z(z(X,Y),z(X,Y))) ),
inference(resolve,[$cnf( f(z(X,Y),z(X,Y)) )],[clause4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ f(z(X,Y),z(X,Y))
| ~ f(z(X,Y),z(z(X,Y),z(X,Y)))
| g(z(X,Y),z(z(X,Y),z(X,Y))) ),
inference(subst,[],[clause2:[bind(X,$fot(z(X,Y))),bind(Y,$fot(z(X,Y)))]]) ).
cnf(refute_0_10,plain,
( ~ f(z(X,Y),z(X,Y))
| f(X,Y)
| g(z(X,Y),z(z(X,Y),z(X,Y))) ),
inference(resolve,[$cnf( f(z(X,Y),z(z(X,Y),z(X,Y))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ f(z(X_24,X_25),z(X_24,X_25))
| f(X_24,X_25)
| g(z(X_24,X_25),z(z(X_24,X_25),z(X_24,X_25))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_24)),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_12,plain,
( f(X_24,X_25)
| g(z(X_24,X_25),z(z(X_24,X_25),z(X_24,X_25))) ),
inference(resolve,[$cnf( f(z(X_24,X_25),z(X_24,X_25)) )],[refute_0_0,refute_0_11]) ).
cnf(refute_0_13,plain,
( f(X_42,X_43)
| g(z(X_42,X_43),z(z(X_42,X_43),z(X_42,X_43))) ),
inference(subst,[],[refute_0_12:[bind(X_24,$fot(X_42)),bind(X_25,$fot(X_43))]]) ).
cnf(refute_0_14,plain,
( ~ g(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41)))
| ~ g(z(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41))),z(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41)))) ),
inference(subst,[],[clause7:[bind(X,$fot(z(X_40,X_41))),bind(Y,$fot(z(z(X_40,X_41),z(X_40,X_41))))]]) ).
cnf(refute_0_15,plain,
( f(X_38,X_39)
| f(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_38)),bind(Y,$fot(X_39))]]) ).
cnf(refute_0_16,plain,
( ~ f(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29)))
| ~ f(z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29))),z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29))))
| g(z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29))),z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29)))) ),
inference(subst,[],[clause3:[bind(X,$fot(z(X_28,X_29))),bind(Y,$fot(z(z(X_28,X_29),z(X_28,X_29))))]]) ).
cnf(refute_0_17,plain,
( f(z(X_8,X_9),z(X_8,X_9))
| g(z(X_8,X_9),z(X_8,X_9)) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(z(X_8,X_9))),bind(X_5,$fot(z(X_8,X_9)))]]) ).
cnf(refute_0_18,plain,
( ~ g(X_8,X_9)
| ~ g(z(X_8,X_9),z(X_8,X_9)) ),
inference(subst,[],[clause7:[bind(X,$fot(X_8)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_19,plain,
( ~ g(X_8,X_9)
| f(z(X_8,X_9),z(X_8,X_9)) ),
inference(resolve,[$cnf( g(z(X_8,X_9),z(X_8,X_9)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ g(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27)))
| f(z(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27))),z(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27)))) ),
inference(subst,[],[refute_0_19:[bind(X_8,$fot(z(X_26,X_27))),bind(X_9,$fot(z(z(X_26,X_27),z(X_26,X_27))))]]) ).
cnf(refute_0_21,plain,
( f(X_26,X_27)
| g(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27))) ),
inference(subst,[],[refute_0_12:[bind(X_24,$fot(X_26)),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_22,plain,
( f(X_26,X_27)
| f(z(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27))),z(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27)))) ),
inference(resolve,[$cnf( g(z(X_26,X_27),z(z(X_26,X_27),z(X_26,X_27))) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
( f(X_28,X_29)
| f(z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29))),z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29)))) ),
inference(subst,[],[refute_0_22:[bind(X_26,$fot(X_28)),bind(X_27,$fot(X_29))]]) ).
cnf(refute_0_24,plain,
( ~ f(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29)))
| f(X_28,X_29)
| g(z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29))),z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29)))) ),
inference(resolve,[$cnf( f(z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29))),z(z(X_28,X_29),z(z(X_28,X_29),z(X_28,X_29)))) )],[refute_0_23,refute_0_16]) ).
cnf(refute_0_25,plain,
( ~ f(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39)))
| f(X_38,X_39)
| g(z(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39))),z(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39)))) ),
inference(subst,[],[refute_0_24:[bind(X_28,$fot(X_38)),bind(X_29,$fot(X_39))]]) ).
cnf(refute_0_26,plain,
( f(X_38,X_39)
| g(z(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39))),z(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39)))) ),
inference(resolve,[$cnf( f(z(X_38,X_39),z(z(X_38,X_39),z(X_38,X_39))) )],[refute_0_15,refute_0_25]) ).
cnf(refute_0_27,plain,
( f(X_40,X_41)
| g(z(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41))),z(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41)))) ),
inference(subst,[],[refute_0_26:[bind(X_38,$fot(X_40)),bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_28,plain,
( ~ g(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41)))
| f(X_40,X_41) ),
inference(resolve,[$cnf( g(z(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41))),z(z(X_40,X_41),z(z(X_40,X_41),z(X_40,X_41)))) )],[refute_0_27,refute_0_14]) ).
cnf(refute_0_29,plain,
( ~ g(z(X_42,X_43),z(z(X_42,X_43),z(X_42,X_43)))
| f(X_42,X_43) ),
inference(subst,[],[refute_0_28:[bind(X_40,$fot(X_42)),bind(X_41,$fot(X_43))]]) ).
cnf(refute_0_30,plain,
f(X_42,X_43),
inference(resolve,[$cnf( g(z(X_42,X_43),z(z(X_42,X_43),z(X_42,X_43))) )],[refute_0_13,refute_0_29]) ).
cnf(refute_0_31,plain,
f(z(X,Y),z(X,Y)),
inference(subst,[],[refute_0_30:[bind(X_42,$fot(z(X,Y))),bind(X_43,$fot(z(X,Y)))]]) ).
cnf(refute_0_32,plain,
( ~ f(X,Y)
| g(z(X,Y),z(X,Y)) ),
inference(resolve,[$cnf( f(z(X,Y),z(X,Y)) )],[refute_0_31,clause3]) ).
cnf(refute_0_33,plain,
f(X,Y),
inference(subst,[],[refute_0_30:[bind(X_42,$fot(X)),bind(X_43,$fot(Y))]]) ).
cnf(refute_0_34,plain,
g(z(X,Y),z(X,Y)),
inference(resolve,[$cnf( f(X,Y) )],[refute_0_33,refute_0_32]) ).
cnf(refute_0_35,plain,
( ~ g(X_48,X_49)
| ~ g(z(X_48,X_49),z(X_48,X_49)) ),
inference(subst,[],[clause7:[bind(X,$fot(X_48)),bind(Y,$fot(X_49))]]) ).
cnf(refute_0_36,plain,
g(z(X_48,X_49),z(X_48,X_49)),
inference(subst,[],[refute_0_34:[bind(X,$fot(X_48)),bind(Y,$fot(X_49))]]) ).
cnf(refute_0_37,plain,
~ g(X_48,X_49),
inference(resolve,[$cnf( g(z(X_48,X_49),z(X_48,X_49)) )],[refute_0_36,refute_0_35]) ).
cnf(refute_0_38,plain,
~ g(z(X,Y),z(X,Y)),
inference(subst,[],[refute_0_37:[bind(X_48,$fot(z(X,Y))),bind(X_49,$fot(z(X,Y)))]]) ).
cnf(refute_0_39,plain,
$false,
inference(resolve,[$cnf( g(z(X,Y),z(X,Y)) )],[refute_0_34,refute_0_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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 04:36:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------