%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 08:58:47 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of clauses : 48 ( 8 unt; 22 nHn; 26 RR)
% Number of literals : 99 ( 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 : 94 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ p(X,f(X,Y))
| ~ p(X,Y)
| q(Y,f(X,Y)) ) ).
cnf(clause_2,negated_conjecture,
( ~ p(X,Y)
| ~ q(Y,f(X,Y))
| p(X,f(X,Y)) ) ).
cnf(clause_3,negated_conjecture,
( ~ p(X,Y)
| ~ p(f(X,Y),f(X,Y))
| q(f(X,Y),f(X,Y)) ) ).
cnf(clause_4,negated_conjecture,
( p(X,Y)
| p(f(X,Y),f(X,Y)) ) ).
cnf(clause_5,negated_conjecture,
( p(X,Y)
| ~ q(f(X,Y),f(X,Y)) ) ).
cnf(clause_6,negated_conjecture,
( q(X,Y)
| q(f(X,Y),f(X,Y)) ) ).
cnf(clause_7,negated_conjecture,
( ~ q(X,Y)
| ~ q(f(X,Y),f(X,Y)) ) ).
cnf(refute_0_0,plain,
( p(X_28,X_29)
| p(f(X_28,X_29),f(X_28,X_29)) ),
inference(subst,[],[clause_4:[bind(X,$fot(X_28)),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_1,plain,
( ~ p(f(X_20,X_21),f(X_20,X_21))
| ~ p(f(X_20,X_21),f(f(X_20,X_21),f(X_20,X_21)))
| q(f(X_20,X_21),f(f(X_20,X_21),f(X_20,X_21))) ),
inference(subst,[],[clause_1:[bind(X,$fot(f(X_20,X_21))),bind(Y,$fot(f(X_20,X_21)))]]) ).
cnf(refute_0_2,plain,
( ~ q(f(X_4,X_5),f(X_4,X_5))
| p(X_4,X_5) ),
inference(subst,[],[clause_5:[bind(X,$fot(X_4)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_3,plain,
( q(X_4,X_5)
| q(f(X_4,X_5),f(X_4,X_5)) ),
inference(subst,[],[clause_6:[bind(X,$fot(X_4)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_4,plain,
( p(X_4,X_5)
| q(X_4,X_5) ),
inference(resolve,[$cnf( q(f(X_4,X_5),f(X_4,X_5)) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( p(X_17,f(X_16,X_17))
| q(X_17,f(X_16,X_17)) ),
inference(subst,[],[refute_0_4:[bind(X_4,$fot(X_17)),bind(X_5,$fot(f(X_16,X_17)))]]) ).
cnf(refute_0_6,plain,
( ~ p(X_16,X_17)
| ~ q(X_17,f(X_16,X_17))
| p(X_16,f(X_16,X_17)) ),
inference(subst,[],[clause_2:[bind(X,$fot(X_16)),bind(Y,$fot(X_17))]]) ).
cnf(refute_0_7,plain,
( ~ p(X_16,X_17)
| p(X_16,f(X_16,X_17))
| p(X_17,f(X_16,X_17)) ),
inference(resolve,[$cnf( q(X_17,f(X_16,X_17)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p(f(X,Y),f(X,Y))
| p(f(X,Y),f(f(X,Y),f(X,Y))) ),
inference(subst,[],[refute_0_7:[bind(X_16,$fot(f(X,Y))),bind(X_17,$fot(f(X,Y)))]]) ).
cnf(refute_0_9,plain,
( p(X,Y)
| p(f(X,Y),f(f(X,Y),f(X,Y))) ),
inference(resolve,[$cnf( p(f(X,Y),f(X,Y)) )],[clause_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( p(X_20,X_21)
| p(f(X_20,X_21),f(f(X_20,X_21),f(X_20,X_21))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_20)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_11,plain,
( ~ p(f(X_20,X_21),f(X_20,X_21))
| p(X_20,X_21)
| q(f(X_20,X_21),f(f(X_20,X_21),f(X_20,X_21))) ),
inference(resolve,[$cnf( p(f(X_20,X_21),f(f(X_20,X_21),f(X_20,X_21))) )],[refute_0_10,refute_0_1]) ).
cnf(refute_0_12,plain,
( ~ p(f(X_28,X_29),f(X_28,X_29))
| p(X_28,X_29)
| q(f(X_28,X_29),f(f(X_28,X_29),f(X_28,X_29))) ),
inference(subst,[],[refute_0_11:[bind(X_20,$fot(X_28)),bind(X_21,$fot(X_29))]]) ).
cnf(refute_0_13,plain,
( p(X_28,X_29)
| q(f(X_28,X_29),f(f(X_28,X_29),f(X_28,X_29))) ),
inference(resolve,[$cnf( p(f(X_28,X_29),f(X_28,X_29)) )],[refute_0_0,refute_0_12]) ).
cnf(refute_0_14,plain,
( p(X_40,X_41)
| q(f(X_40,X_41),f(f(X_40,X_41),f(X_40,X_41))) ),
inference(subst,[],[refute_0_13:[bind(X_28,$fot(X_40)),bind(X_29,$fot(X_41))]]) ).
cnf(refute_0_15,plain,
( ~ q(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39)))
| ~ q(f(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39))),f(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39)))) ),
inference(subst,[],[clause_7:[bind(X,$fot(f(X_38,X_39))),bind(Y,$fot(f(f(X_38,X_39),f(X_38,X_39))))]]) ).
cnf(refute_0_16,plain,
( p(X_36,X_37)
| p(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_36)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_17,plain,
( ~ p(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33)))
| ~ p(f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33))),f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33))))
| q(f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33))),f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33)))) ),
inference(subst,[],[clause_3:[bind(X,$fot(f(X_32,X_33))),bind(Y,$fot(f(f(X_32,X_33),f(X_32,X_33))))]]) ).
cnf(refute_0_18,plain,
( p(f(X_8,X_9),f(X_8,X_9))
| q(f(X_8,X_9),f(X_8,X_9)) ),
inference(subst,[],[refute_0_4:[bind(X_4,$fot(f(X_8,X_9))),bind(X_5,$fot(f(X_8,X_9)))]]) ).
cnf(refute_0_19,plain,
( ~ q(X_8,X_9)
| ~ q(f(X_8,X_9),f(X_8,X_9)) ),
inference(subst,[],[clause_7:[bind(X,$fot(X_8)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_20,plain,
( ~ q(X_8,X_9)
| p(f(X_8,X_9),f(X_8,X_9)) ),
inference(resolve,[$cnf( q(f(X_8,X_9),f(X_8,X_9)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ q(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31)))
| p(f(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31))),f(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31)))) ),
inference(subst,[],[refute_0_20:[bind(X_8,$fot(f(X_30,X_31))),bind(X_9,$fot(f(f(X_30,X_31),f(X_30,X_31))))]]) ).
cnf(refute_0_22,plain,
( p(X_30,X_31)
| q(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31))) ),
inference(subst,[],[refute_0_13:[bind(X_28,$fot(X_30)),bind(X_29,$fot(X_31))]]) ).
cnf(refute_0_23,plain,
( p(X_30,X_31)
| p(f(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31))),f(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31)))) ),
inference(resolve,[$cnf( q(f(X_30,X_31),f(f(X_30,X_31),f(X_30,X_31))) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
( p(X_32,X_33)
| p(f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33))),f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33)))) ),
inference(subst,[],[refute_0_23:[bind(X_30,$fot(X_32)),bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_25,plain,
( ~ p(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33)))
| p(X_32,X_33)
| q(f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33))),f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33)))) ),
inference(resolve,[$cnf( p(f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33))),f(f(X_32,X_33),f(f(X_32,X_33),f(X_32,X_33)))) )],[refute_0_24,refute_0_17]) ).
cnf(refute_0_26,plain,
( ~ p(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37)))
| p(X_36,X_37)
| q(f(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37))),f(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37)))) ),
inference(subst,[],[refute_0_25:[bind(X_32,$fot(X_36)),bind(X_33,$fot(X_37))]]) ).
cnf(refute_0_27,plain,
( p(X_36,X_37)
| q(f(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37))),f(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37)))) ),
inference(resolve,[$cnf( p(f(X_36,X_37),f(f(X_36,X_37),f(X_36,X_37))) )],[refute_0_16,refute_0_26]) ).
cnf(refute_0_28,plain,
( p(X_38,X_39)
| q(f(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39))),f(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39)))) ),
inference(subst,[],[refute_0_27:[bind(X_36,$fot(X_38)),bind(X_37,$fot(X_39))]]) ).
cnf(refute_0_29,plain,
( ~ q(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39)))
| p(X_38,X_39) ),
inference(resolve,[$cnf( q(f(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39))),f(f(X_38,X_39),f(f(X_38,X_39),f(X_38,X_39)))) )],[refute_0_28,refute_0_15]) ).
cnf(refute_0_30,plain,
( ~ q(f(X_40,X_41),f(f(X_40,X_41),f(X_40,X_41)))
| p(X_40,X_41) ),
inference(subst,[],[refute_0_29:[bind(X_38,$fot(X_40)),bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_31,plain,
p(X_40,X_41),
inference(resolve,[$cnf( q(f(X_40,X_41),f(f(X_40,X_41),f(X_40,X_41))) )],[refute_0_14,refute_0_30]) ).
cnf(refute_0_32,plain,
p(f(X,Y),f(X,Y)),
inference(subst,[],[refute_0_31:[bind(X_40,$fot(f(X,Y))),bind(X_41,$fot(f(X,Y)))]]) ).
cnf(refute_0_33,plain,
( ~ p(X,Y)
| q(f(X,Y),f(X,Y)) ),
inference(resolve,[$cnf( p(f(X,Y),f(X,Y)) )],[refute_0_32,clause_3]) ).
cnf(refute_0_34,plain,
p(X,Y),
inference(subst,[],[refute_0_31:[bind(X_40,$fot(X)),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_35,plain,
q(f(X,Y),f(X,Y)),
inference(resolve,[$cnf( p(X,Y) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
( ~ q(X_46,X_47)
| ~ q(f(X_46,X_47),f(X_46,X_47)) ),
inference(subst,[],[clause_7:[bind(X,$fot(X_46)),bind(Y,$fot(X_47))]]) ).
cnf(refute_0_37,plain,
q(f(X_46,X_47),f(X_46,X_47)),
inference(subst,[],[refute_0_35:[bind(X,$fot(X_46)),bind(Y,$fot(X_47))]]) ).
cnf(refute_0_38,plain,
~ q(X_46,X_47),
inference(resolve,[$cnf( q(f(X_46,X_47),f(X_46,X_47)) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
~ q(f(X,Y),f(X,Y)),
inference(subst,[],[refute_0_38:[bind(X_46,$fot(f(X,Y))),bind(X_47,$fot(f(X,Y)))]]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( q(f(X,Y),f(X,Y)) )],[refute_0_35,refute_0_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n015.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 : Mon Jul 11 18:46:54 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
%------------------------------------------------------------------------------