TSTP Solution File: SYO691-1.002 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO691-1.002 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 18:40:57 EDT 2022
% Result : Unsatisfiable 18.70s 18.93s
% Output : CNFRefutation 18.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of clauses : 68 ( 36 unt; 0 nHn; 30 RR)
% Number of literals : 108 ( 0 equ; 42 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 273 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_1,axiom,
top(f(f(f(f(Z,a),a),Y),f(X,a)),f(f(X,f(f(f(Y,a),a),a)),Z)) ).
cnf(prove,negated_conjecture,
~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),X,X) ).
cnf(rewrite_top,axiom,
( ~ top(X,Y)
| step(X,Y) ) ).
cnf(rewrite_left,axiom,
( ~ step(X,Y)
| step(f(X,Z),f(Y,Z)) ) ).
cnf(rewrite_right,axiom,
( ~ step(Y,Z)
| step(f(X,Y),f(X,Z)) ) ).
cnf(rewrite_sequence_zero,axiom,
seq(zero,X,X) ).
cnf(rewrite_sequence_succ,axiom,
( ~ seq(N,X,Y)
| ~ step(Y,Z)
| seq(succ(N),X,Z) ) ).
cnf(refute_0_0,plain,
~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)))),
inference(subst,[],[prove:[bind(X,$fot(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)))))]]) ).
cnf(refute_0_1,plain,
( ~ seq(N,X,f(f(f(f(f(f(f(X_61,a),a),X_60),f(X_59,a)),X_58),X_57),X_56))
| ~ step(f(f(f(f(f(f(f(X_61,a),a),X_60),f(X_59,a)),X_58),X_57),X_56),f(f(f(f(f(X_59,f(f(f(X_60,a),a),a)),X_61),X_58),X_57),X_56))
| seq(succ(N),X,f(f(f(f(f(X_59,f(f(f(X_60,a),a),a)),X_61),X_58),X_57),X_56)) ),
inference(subst,[],[rewrite_sequence_succ:[bind(Y,$fot(f(f(f(f(f(f(f(X_61,a),a),X_60),f(X_59,a)),X_58),X_57),X_56))),bind(Z,$fot(f(f(f(f(f(X_59,f(f(f(X_60,a),a),a)),X_61),X_58),X_57),X_56)))]]) ).
cnf(refute_0_2,plain,
( ~ step(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41))
| step(f(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),Z),f(f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41),Z)) ),
inference(subst,[],[rewrite_left:[bind(X,$fot(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41))),bind(Y,$fot(f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)))]]) ).
cnf(refute_0_3,plain,
( ~ step(f(f(f(f(f(X_19,a),a),X_18),f(X_17,a)),X_16),f(f(f(X_17,f(f(f(X_18,a),a),a)),X_19),X_16))
| step(f(f(f(f(f(f(X_19,a),a),X_18),f(X_17,a)),X_16),Z),f(f(f(f(X_17,f(f(f(X_18,a),a),a)),X_19),X_16),Z)) ),
inference(subst,[],[rewrite_left:[bind(X,$fot(f(f(f(f(f(X_19,a),a),X_18),f(X_17,a)),X_16))),bind(Y,$fot(f(f(f(X_17,f(f(f(X_18,a),a),a)),X_19),X_16)))]]) ).
cnf(refute_0_4,plain,
( ~ step(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),f(f(X_13,f(f(f(X_14,a),a),a)),X_15))
| step(f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z),f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z)) ),
inference(subst,[],[rewrite_left:[bind(X,$fot(f(f(f(f(X_15,a),a),X_14),f(X_13,a)))),bind(Y,$fot(f(f(X_13,f(f(f(X_14,a),a),a)),X_15)))]]) ).
cnf(refute_0_5,plain,
( ~ top(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12))
| step(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12)) ),
inference(subst,[],[rewrite_top:[bind(X,$fot(f(f(f(f(X_12,a),a),X_11),f(X_10,a)))),bind(Y,$fot(f(f(X_10,f(f(f(X_11,a),a),a)),X_12)))]]) ).
cnf(refute_0_6,plain,
top(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12)),
inference(subst,[],[rule_1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_7,plain,
step(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12)),
inference(resolve,[$cnf( top(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12)) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
step(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),f(f(X_13,f(f(f(X_14,a),a),a)),X_15)),
inference(subst,[],[refute_0_7:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_14)),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_9,plain,
step(f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z),f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z)),
inference(resolve,[$cnf( step(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),f(f(X_13,f(f(f(X_14,a),a),a)),X_15)) )],[refute_0_8,refute_0_4]) ).
cnf(refute_0_10,plain,
step(f(f(f(f(f(X_19,a),a),X_18),f(X_17,a)),X_16),f(f(f(X_17,f(f(f(X_18,a),a),a)),X_19),X_16)),
inference(subst,[],[refute_0_9:[bind(Z,$fot(X_16)),bind(X_13,$fot(X_17)),bind(X_14,$fot(X_18)),bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_11,plain,
step(f(f(f(f(f(f(X_19,a),a),X_18),f(X_17,a)),X_16),Z),f(f(f(f(X_17,f(f(f(X_18,a),a),a)),X_19),X_16),Z)),
inference(resolve,[$cnf( step(f(f(f(f(f(X_19,a),a),X_18),f(X_17,a)),X_16),f(f(f(X_17,f(f(f(X_18,a),a),a)),X_19),X_16)) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
step(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)),
inference(subst,[],[refute_0_11:[bind(Z,$fot(X_41)),bind(X_16,$fot(X_42)),bind(X_17,$fot(X_43)),bind(X_18,$fot(X_44)),bind(X_19,$fot(X_45))]]) ).
cnf(refute_0_13,plain,
step(f(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),Z),f(f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41),Z)),
inference(resolve,[$cnf( step(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)) )],[refute_0_12,refute_0_2]) ).
cnf(refute_0_14,plain,
step(f(f(f(f(f(f(f(X_61,a),a),X_60),f(X_59,a)),X_58),X_57),X_56),f(f(f(f(f(X_59,f(f(f(X_60,a),a),a)),X_61),X_58),X_57),X_56)),
inference(subst,[],[refute_0_13:[bind(Z,$fot(X_56)),bind(X_41,$fot(X_57)),bind(X_42,$fot(X_58)),bind(X_43,$fot(X_59)),bind(X_44,$fot(X_60)),bind(X_45,$fot(X_61))]]) ).
cnf(refute_0_15,plain,
( ~ seq(N,X,f(f(f(f(f(f(f(X_61,a),a),X_60),f(X_59,a)),X_58),X_57),X_56))
| seq(succ(N),X,f(f(f(f(f(X_59,f(f(f(X_60,a),a),a)),X_61),X_58),X_57),X_56)) ),
inference(resolve,[$cnf( step(f(f(f(f(f(f(f(X_61,a),a),X_60),f(X_59,a)),X_58),X_57),X_56),f(f(f(f(f(X_59,f(f(f(X_60,a),a),a)),X_61),X_58),X_57),X_56)) )],[refute_0_14,refute_0_1]) ).
cnf(refute_0_16,plain,
( ~ seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(f(X_16971,a),a),f(X_16973,a)),f(f(f(f(f(f(f(f(f(f(X_16970,a),a),a),a),a),a),a),a),X_16972),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(a,a),a),f(f(f(a,a),a),a)),f(f(f(f(f(f(f(f(f(f(f(X_16972,a),a),a),a),a),a),a),a),a),a),a)),X_16973),X_16970),X_16971))
| seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),f(f(f(f(X_16971,a),a),f(X_16973,a)),f(f(f(f(f(f(f(f(f(f(X_16970,a),a),a),a),a),a),a),a),X_16972),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16972,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),X_16973),X_16970),X_16971)) ),
inference(subst,[],[refute_0_15:[bind(N,$fot(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))))),bind(X,$fot(f(f(f(f(X_16971,a),a),f(X_16973,a)),f(f(f(f(f(f(f(f(f(f(X_16970,a),a),a),a),a),a),a),a),X_16972),f(f(f(f(f(f(a,a),a),a),a),a),a))))),bind(X_56,$fot(X_16971)),bind(X_57,$fot(X_16970)),bind(X_58,$fot(X_16973)),bind(X_59,$fot(f(f(f(f(f(f(f(f(f(f(X_16972,a),a),a),a),a),a),a),a),a),a))),bind(X_60,$fot(f(f(f(a,a),a),a))),bind(X_61,$fot(a))]]) ).
cnf(refute_0_17,plain,
( ~ seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(X_16967,a),a),f(X_16969,a)),f(f(f(f(f(f(f(f(f(f(X_16966,a),a),a),a),a),a),a),a),X_16968),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16968,a),a),a),a),a),a),a),a),a),a),a),a),a),a),f(f(f(a,a),a),a)),X_16969),X_16966),X_16967))
| seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(f(X_16967,a),a),f(X_16969,a)),f(f(f(f(f(f(f(f(f(f(X_16966,a),a),a),a),a),a),a),a),X_16968),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(a,a),a),f(f(f(a,a),a),a)),f(f(f(f(f(f(f(f(f(f(f(X_16968,a),a),a),a),a),a),a),a),a),a),a)),X_16969),X_16966),X_16967)) ),
inference(subst,[],[refute_0_15:[bind(N,$fot(succ(succ(succ(succ(succ(succ(succ(zero))))))))),bind(X,$fot(f(f(f(f(X_16967,a),a),f(X_16969,a)),f(f(f(f(f(f(f(f(f(f(X_16966,a),a),a),a),a),a),a),a),X_16968),f(f(f(f(f(f(a,a),a),a),a),a),a))))),bind(X_56,$fot(X_16967)),bind(X_57,$fot(X_16966)),bind(X_58,$fot(X_16969)),bind(X_59,$fot(f(f(a,a),a))),bind(X_60,$fot(a)),bind(X_61,$fot(f(f(f(f(f(f(f(f(f(f(f(X_16968,a),a),a),a),a),a),a),a),a),a),a)))]]) ).
cnf(refute_0_18,plain,
( ~ seq(N,X,f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41))
| ~ step(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41))
| seq(succ(N),X,f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)) ),
inference(subst,[],[rewrite_sequence_succ:[bind(Y,$fot(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41))),bind(Z,$fot(f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)))]]) ).
cnf(refute_0_19,plain,
( ~ seq(N,X,f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41))
| seq(succ(N),X,f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)) ),
inference(resolve,[$cnf( step(f(f(f(f(f(f(X_45,a),a),X_44),f(X_43,a)),X_42),X_41),f(f(f(f(X_43,f(f(f(X_44,a),a),a)),X_45),X_42),X_41)) )],[refute_0_12,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(X_16964,a),a),f(X_45,a)),f(f(f(f(f(f(f(f(f(f(X_16962,a),a),a),a),a),a),a),a),X_16965),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(X_45,a),a),a),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16965,a),a),a),a),a),a),a),a),a),a),a),a),a),a),a)),X_16962),X_16964))
| seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(X_16964,a),a),f(X_45,a)),f(f(f(f(f(f(f(f(f(f(X_16962,a),a),a),a),a),a),a),a),X_16965),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16965,a),a),a),a),a),a),a),a),a),a),a),a),a),a),f(f(f(a,a),a),a)),X_45),X_16962),X_16964)) ),
inference(subst,[],[refute_0_19:[bind(N,$fot(succ(succ(succ(succ(succ(succ(zero)))))))),bind(X,$fot(f(f(f(f(X_16964,a),a),f(X_45,a)),f(f(f(f(f(f(f(f(f(f(X_16962,a),a),a),a),a),a),a),a),X_16965),f(f(f(f(f(f(a,a),a),a),a),a),a))))),bind(X_41,$fot(X_16964)),bind(X_42,$fot(X_16962)),bind(X_43,$fot(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16965,a),a),a),a),a),a),a),a),a),a),a),a),a),a))),bind(X_44,$fot(a))]]) ).
cnf(refute_0_21,plain,
( ~ seq(X_20,X_21,f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z))
| ~ step(f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z),f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z))
| seq(succ(X_20),X_21,f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z)) ),
inference(subst,[],[rewrite_sequence_succ:[bind(N,$fot(X_20)),bind(X,$fot(X_21)),bind(Y,$fot(f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z))),bind(Z,$fot(f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z)))]]) ).
cnf(refute_0_22,plain,
( ~ seq(X_20,X_21,f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z))
| seq(succ(X_20),X_21,f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z)) ),
inference(resolve,[$cnf( step(f(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),Z),f(f(f(X_13,f(f(f(X_14,a),a),a)),X_15),Z)) )],[refute_0_9,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(X_16959,a),a),X_16958),f(f(f(f(f(f(f(f(f(f(X_15,a),a),a),a),a),a),a),a),X_16960),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(X_15,a),a),f(f(f(f(f(f(f(f(f(f(f(f(X_16960,a),a),a),a),a),a),a),a),a),a),a),a)),f(f(f(X_16958,a),a),a)),X_16959))
| seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(X_16959,a),a),X_16958),f(f(f(f(f(f(f(f(f(f(X_15,a),a),a),a),a),a),a),a),X_16960),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(X_16958,a),a),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16960,a),a),a),a),a),a),a),a),a),a),a),a),a),a),a)),X_15),X_16959)) ),
inference(subst,[],[refute_0_22:[bind(Z,$fot(X_16959)),bind(X_13,$fot(f(f(X_16958,a),a))),bind(X_14,$fot(f(f(f(f(f(f(f(f(f(f(f(f(X_16960,a),a),a),a),a),a),a),a),a),a),a),a))),bind(X_20,$fot(succ(succ(succ(succ(succ(zero))))))),bind(X_21,$fot(f(f(f(f(X_16959,a),a),X_16958),f(f(f(f(f(f(f(f(f(f(X_15,a),a),a),a),a),a),a),a),X_16960),f(f(f(f(f(f(a,a),a),a),a),a),a)))))]]) ).
cnf(refute_0_24,plain,
( ~ seq(X_20,X_21,f(f(f(f(X_12,a),a),X_11),f(X_10,a)))
| ~ step(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12))
| seq(succ(X_20),X_21,f(f(X_10,f(f(f(X_11,a),a),a)),X_12)) ),
inference(subst,[],[rewrite_sequence_succ:[bind(N,$fot(X_20)),bind(X,$fot(X_21)),bind(Y,$fot(f(f(f(f(X_12,a),a),X_11),f(X_10,a)))),bind(Z,$fot(f(f(X_10,f(f(f(X_11,a),a),a)),X_12)))]]) ).
cnf(refute_0_25,plain,
( ~ seq(X_20,X_21,f(f(f(f(X_12,a),a),X_11),f(X_10,a)))
| seq(succ(X_20),X_21,f(f(X_10,f(f(f(X_11,a),a),a)),X_12)) ),
inference(resolve,[$cnf( step(f(f(f(f(X_12,a),a),X_11),f(X_10,a)),f(f(X_10,f(f(f(X_11,a),a),a)),X_12)) )],[refute_0_7,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ seq(succ(succ(succ(succ(zero)))),f(f(f(f(X_12,a),a),X_11),f(f(f(f(f(f(f(f(X_3603,a),a),a),a),a),a),X_3601),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(X_12,a),a),X_11),f(f(X_3603,f(f(f(f(f(f(f(f(f(f(f(f(X_3601,a),a),a),a),a),a),a),a),a),a),a),a)),a)))
| seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(X_12,a),a),X_11),f(f(f(f(f(f(f(f(X_3603,a),a),a),a),a),a),X_3601),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(X_3603,f(f(f(f(f(f(f(f(f(f(f(f(X_3601,a),a),a),a),a),a),a),a),a),a),a),a)),f(f(f(X_11,a),a),a)),X_12)) ),
inference(subst,[],[refute_0_25:[bind(X_10,$fot(f(X_3603,f(f(f(f(f(f(f(f(f(f(f(f(X_3601,a),a),a),a),a),a),a),a),a),a),a),a)))),bind(X_20,$fot(succ(succ(succ(succ(zero)))))),bind(X_21,$fot(f(f(f(f(X_12,a),a),X_11),f(f(f(f(f(f(f(f(X_3603,a),a),a),a),a),a),X_3601),f(f(f(f(f(f(a,a),a),a),a),a),a)))))]]) ).
cnf(refute_0_27,plain,
( ~ seq(N,X,f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))))
| ~ step(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36)))
| seq(succ(N),X,f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))) ),
inference(subst,[],[rewrite_sequence_succ:[bind(Y,$fot(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))))),bind(Z,$fot(f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))))]]) ).
cnf(refute_0_28,plain,
( ~ step(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),f(f(X_13,f(f(f(X_14,a),a),a)),X_15))
| step(f(X,f(f(f(f(X_15,a),a),X_14),f(X_13,a))),f(X,f(f(X_13,f(f(f(X_14,a),a),a)),X_15))) ),
inference(subst,[],[rewrite_right:[bind(Y,$fot(f(f(f(f(X_15,a),a),X_14),f(X_13,a)))),bind(Z,$fot(f(f(X_13,f(f(f(X_14,a),a),a)),X_15)))]]) ).
cnf(refute_0_29,plain,
step(f(X,f(f(f(f(X_15,a),a),X_14),f(X_13,a))),f(X,f(f(X_13,f(f(f(X_14,a),a),a)),X_15))),
inference(resolve,[$cnf( step(f(f(f(f(X_15,a),a),X_14),f(X_13,a)),f(f(X_13,f(f(f(X_14,a),a),a)),X_15)) )],[refute_0_8,refute_0_28]) ).
cnf(refute_0_30,plain,
step(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_33)),bind(X_13,$fot(X_34)),bind(X_14,$fot(X_35)),bind(X_15,$fot(X_36))]]) ).
cnf(refute_0_31,plain,
( ~ seq(N,X,f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))))
| seq(succ(N),X,f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))) ),
inference(resolve,[$cnf( step(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))) )],[refute_0_30,refute_0_27]) ).
cnf(refute_0_32,plain,
( ~ seq(succ(succ(succ(zero))),f(X_1152,f(f(f(f(f(f(f(f(X_34,a),a),a),a),a),a),X_1151),f(f(f(f(f(f(X_36,a),a),a),a),a),a))),f(X_1152,f(f(f(f(X_36,a),a),f(f(f(f(f(f(f(f(f(X_1151,a),a),a),a),a),a),a),a),a)),f(X_34,a))))
| seq(succ(succ(succ(succ(zero)))),f(X_1152,f(f(f(f(f(f(f(f(X_34,a),a),a),a),a),a),X_1151),f(f(f(f(f(f(X_36,a),a),a),a),a),a))),f(X_1152,f(f(X_34,f(f(f(f(f(f(f(f(f(f(f(f(X_1151,a),a),a),a),a),a),a),a),a),a),a),a)),X_36))) ),
inference(subst,[],[refute_0_31:[bind(N,$fot(succ(succ(succ(zero))))),bind(X,$fot(f(X_1152,f(f(f(f(f(f(f(f(X_34,a),a),a),a),a),a),X_1151),f(f(f(f(f(f(X_36,a),a),a),a),a),a))))),bind(X_33,$fot(X_1152)),bind(X_35,$fot(f(f(f(f(f(f(f(f(f(X_1151,a),a),a),a),a),a),a),a),a)))]]) ).
cnf(refute_0_33,plain,
step(f(X_487,f(f(f(f(X_15,a),a),f(f(f(X_489,a),a),a)),f(X_13,a))),f(X_487,f(f(X_13,f(f(f(f(f(f(X_489,a),a),a),a),a),a)),X_15))),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_487)),bind(X_14,$fot(f(f(f(X_489,a),a),a)))]]) ).
cnf(refute_0_34,plain,
( ~ seq(succ(zero),f(X_37,f(f(f(f(X_40,a),a),X_39),f(X_38,a))),f(X_37,f(f(X_38,f(f(f(X_39,a),a),a)),X_40)))
| ~ step(f(X_37,f(f(X_38,f(f(f(X_39,a),a),a)),X_40)),Z)
| seq(succ(succ(zero)),f(X_37,f(f(f(f(X_40,a),a),X_39),f(X_38,a))),Z) ),
inference(subst,[],[rewrite_sequence_succ:[bind(N,$fot(succ(zero))),bind(X,$fot(f(X_37,f(f(f(f(X_40,a),a),X_39),f(X_38,a))))),bind(Y,$fot(f(X_37,f(f(X_38,f(f(f(X_39,a),a),a)),X_40))))]]) ).
cnf(refute_0_35,plain,
seq(zero,X_22,X_22),
inference(subst,[],[rewrite_sequence_zero:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_36,plain,
( ~ seq(zero,X_22,X_22)
| ~ step(X_22,X_23)
| seq(succ(zero),X_22,X_23) ),
inference(subst,[],[rewrite_sequence_succ:[bind(N,$fot(zero)),bind(X,$fot(X_22)),bind(Y,$fot(X_22)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_37,plain,
( ~ step(X_22,X_23)
| seq(succ(zero),X_22,X_23) ),
inference(resolve,[$cnf( seq(zero,X_22,X_22) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ step(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36)))
| seq(succ(zero),f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))) ),
inference(subst,[],[refute_0_37:[bind(X_22,$fot(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))))),bind(X_23,$fot(f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))))]]) ).
cnf(refute_0_39,plain,
seq(succ(zero),f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))),
inference(resolve,[$cnf( step(f(X_33,f(f(f(f(X_36,a),a),X_35),f(X_34,a))),f(X_33,f(f(X_34,f(f(f(X_35,a),a),a)),X_36))) )],[refute_0_30,refute_0_38]) ).
cnf(refute_0_40,plain,
seq(succ(zero),f(X_37,f(f(f(f(X_40,a),a),X_39),f(X_38,a))),f(X_37,f(f(X_38,f(f(f(X_39,a),a),a)),X_40))),
inference(subst,[],[refute_0_39:[bind(X_33,$fot(X_37)),bind(X_34,$fot(X_38)),bind(X_35,$fot(X_39)),bind(X_36,$fot(X_40))]]) ).
cnf(refute_0_41,plain,
( ~ step(f(X_37,f(f(X_38,f(f(f(X_39,a),a),a)),X_40)),Z)
| seq(succ(succ(zero)),f(X_37,f(f(f(f(X_40,a),a),X_39),f(X_38,a))),Z) ),
inference(resolve,[$cnf( seq(succ(zero),f(X_37,f(f(f(f(X_40,a),a),X_39),f(X_38,a))),f(X_37,f(f(X_38,f(f(f(X_39,a),a),a)),X_40))) )],[refute_0_40,refute_0_34]) ).
cnf(refute_0_42,plain,
( ~ step(f(X_487,f(f(f(f(X_15,a),a),f(f(f(X_489,a),a),a)),f(X_13,a))),f(X_487,f(f(X_13,f(f(f(f(f(f(X_489,a),a),a),a),a),a)),X_15)))
| seq(succ(succ(zero)),f(X_487,f(f(f(f(f(X_13,a),a),a),X_489),f(f(f(X_15,a),a),a))),f(X_487,f(f(X_13,f(f(f(f(f(f(X_489,a),a),a),a),a),a)),X_15))) ),
inference(subst,[],[refute_0_41:[bind(Z,$fot(f(X_487,f(f(X_13,f(f(f(f(f(f(X_489,a),a),a),a),a),a)),X_15)))),bind(X_37,$fot(X_487)),bind(X_38,$fot(f(f(X_15,a),a))),bind(X_39,$fot(X_489)),bind(X_40,$fot(f(X_13,a)))]]) ).
cnf(refute_0_43,plain,
seq(succ(succ(zero)),f(X_487,f(f(f(f(f(X_13,a),a),a),X_489),f(f(f(X_15,a),a),a))),f(X_487,f(f(X_13,f(f(f(f(f(f(X_489,a),a),a),a),a),a)),X_15))),
inference(resolve,[$cnf( step(f(X_487,f(f(f(f(X_15,a),a),f(f(f(X_489,a),a),a)),f(X_13,a))),f(X_487,f(f(X_13,f(f(f(f(f(f(X_489,a),a),a),a),a),a)),X_15))) )],[refute_0_33,refute_0_42]) ).
cnf(refute_0_44,plain,
seq(succ(succ(zero)),f(X_681,f(f(f(f(f(f(f(X_684,a),a),a),a),a),X_489),f(f(f(f(X_682,a),a),a),a))),f(X_681,f(f(f(f(X_684,a),a),f(f(f(f(f(f(X_489,a),a),a),a),a),a)),f(X_682,a)))),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(f(f(X_684,a),a))),bind(X_15,$fot(f(X_682,a))),bind(X_487,$fot(X_681))]]) ).
cnf(refute_0_45,plain,
( ~ seq(succ(succ(zero)),f(X_681,f(f(f(f(f(f(f(X_684,a),a),a),a),a),X_489),f(f(f(f(X_682,a),a),a),a))),f(X_681,f(f(f(f(X_684,a),a),f(f(f(f(f(f(X_489,a),a),a),a),a),a)),f(X_682,a))))
| seq(succ(succ(succ(zero))),f(X_681,f(f(f(f(f(f(f(X_684,a),a),a),a),a),X_489),f(f(f(f(X_682,a),a),a),a))),f(X_681,f(f(X_682,f(f(f(f(f(f(f(f(f(X_489,a),a),a),a),a),a),a),a),a)),X_684))) ),
inference(subst,[],[refute_0_31:[bind(N,$fot(succ(succ(zero)))),bind(X,$fot(f(X_681,f(f(f(f(f(f(f(X_684,a),a),a),a),a),X_489),f(f(f(f(X_682,a),a),a),a))))),bind(X_33,$fot(X_681)),bind(X_34,$fot(X_682)),bind(X_35,$fot(f(f(f(f(f(f(X_489,a),a),a),a),a),a))),bind(X_36,$fot(X_684))]]) ).
cnf(refute_0_46,plain,
seq(succ(succ(succ(zero))),f(X_681,f(f(f(f(f(f(f(X_684,a),a),a),a),a),X_489),f(f(f(f(X_682,a),a),a),a))),f(X_681,f(f(X_682,f(f(f(f(f(f(f(f(f(X_489,a),a),a),a),a),a),a),a),a)),X_684))),
inference(resolve,[$cnf( seq(succ(succ(zero)),f(X_681,f(f(f(f(f(f(f(X_684,a),a),a),a),a),X_489),f(f(f(f(X_682,a),a),a),a))),f(X_681,f(f(f(f(X_684,a),a),f(f(f(f(f(f(X_489,a),a),a),a),a),a)),f(X_682,a)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
seq(succ(succ(succ(zero))),f(X_1152,f(f(f(f(f(f(f(f(X_34,a),a),a),a),a),a),X_1151),f(f(f(f(f(f(X_36,a),a),a),a),a),a))),f(X_1152,f(f(f(f(X_36,a),a),f(f(f(f(f(f(f(f(f(X_1151,a),a),a),a),a),a),a),a),a)),f(X_34,a)))),
inference(subst,[],[refute_0_46:[bind(X_489,$fot(X_1151)),bind(X_681,$fot(X_1152)),bind(X_682,$fot(f(f(X_36,a),a))),bind(X_684,$fot(f(X_34,a)))]]) ).
cnf(refute_0_48,plain,
seq(succ(succ(succ(succ(zero)))),f(X_1152,f(f(f(f(f(f(f(f(X_34,a),a),a),a),a),a),X_1151),f(f(f(f(f(f(X_36,a),a),a),a),a),a))),f(X_1152,f(f(X_34,f(f(f(f(f(f(f(f(f(f(f(f(X_1151,a),a),a),a),a),a),a),a),a),a),a),a)),X_36))),
inference(resolve,[$cnf( seq(succ(succ(succ(zero))),f(X_1152,f(f(f(f(f(f(f(f(X_34,a),a),a),a),a),a),X_1151),f(f(f(f(f(f(X_36,a),a),a),a),a),a))),f(X_1152,f(f(f(f(X_36,a),a),f(f(f(f(f(f(f(f(f(X_1151,a),a),a),a),a),a),a),a),a)),f(X_34,a)))) )],[refute_0_47,refute_0_32]) ).
cnf(refute_0_49,plain,
seq(succ(succ(succ(succ(zero)))),f(f(f(f(X_12,a),a),X_11),f(f(f(f(f(f(f(f(X_3603,a),a),a),a),a),a),X_3601),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(X_12,a),a),X_11),f(f(X_3603,f(f(f(f(f(f(f(f(f(f(f(f(X_3601,a),a),a),a),a),a),a),a),a),a),a),a)),a))),
inference(subst,[],[refute_0_48:[bind(X_1151,$fot(X_3601)),bind(X_1152,$fot(f(f(f(X_12,a),a),X_11))),bind(X_34,$fot(X_3603)),bind(X_36,$fot(a))]]) ).
cnf(refute_0_50,plain,
seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(X_12,a),a),X_11),f(f(f(f(f(f(f(f(X_3603,a),a),a),a),a),a),X_3601),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(X_3603,f(f(f(f(f(f(f(f(f(f(f(f(X_3601,a),a),a),a),a),a),a),a),a),a),a),a)),f(f(f(X_11,a),a),a)),X_12)),
inference(resolve,[$cnf( seq(succ(succ(succ(succ(zero)))),f(f(f(f(X_12,a),a),X_11),f(f(f(f(f(f(f(f(X_3603,a),a),a),a),a),a),X_3601),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(X_12,a),a),X_11),f(f(X_3603,f(f(f(f(f(f(f(f(f(f(f(f(X_3601,a),a),a),a),a),a),a),a),a),a),a),a)),a))) )],[refute_0_49,refute_0_26]) ).
cnf(refute_0_51,plain,
seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(X_16959,a),a),X_16958),f(f(f(f(f(f(f(f(f(f(X_15,a),a),a),a),a),a),a),a),X_16960),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(X_15,a),a),f(f(f(f(f(f(f(f(f(f(f(f(X_16960,a),a),a),a),a),a),a),a),a),a),a),a)),f(f(f(X_16958,a),a),a)),X_16959)),
inference(subst,[],[refute_0_50:[bind(X_11,$fot(X_16958)),bind(X_12,$fot(X_16959)),bind(X_3601,$fot(X_16960)),bind(X_3603,$fot(f(f(X_15,a),a)))]]) ).
cnf(refute_0_52,plain,
seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(X_16959,a),a),X_16958),f(f(f(f(f(f(f(f(f(f(X_15,a),a),a),a),a),a),a),a),X_16960),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(X_16958,a),a),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16960,a),a),a),a),a),a),a),a),a),a),a),a),a),a),a)),X_15),X_16959)),
inference(resolve,[$cnf( seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(X_16959,a),a),X_16958),f(f(f(f(f(f(f(f(f(f(X_15,a),a),a),a),a),a),a),a),X_16960),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(X_15,a),a),f(f(f(f(f(f(f(f(f(f(f(f(X_16960,a),a),a),a),a),a),a),a),a),a),a),a)),f(f(f(X_16958,a),a),a)),X_16959)) )],[refute_0_51,refute_0_23]) ).
cnf(refute_0_53,plain,
seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(X_16964,a),a),f(X_45,a)),f(f(f(f(f(f(f(f(f(f(X_16962,a),a),a),a),a),a),a),a),X_16965),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(X_45,a),a),a),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16965,a),a),a),a),a),a),a),a),a),a),a),a),a),a),a)),X_16962),X_16964)),
inference(subst,[],[refute_0_52:[bind(X_15,$fot(X_16962)),bind(X_16958,$fot(f(X_45,a))),bind(X_16959,$fot(X_16964)),bind(X_16960,$fot(X_16965))]]) ).
cnf(refute_0_54,plain,
seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(X_16964,a),a),f(X_45,a)),f(f(f(f(f(f(f(f(f(f(X_16962,a),a),a),a),a),a),a),a),X_16965),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16965,a),a),a),a),a),a),a),a),a),a),a),a),a),a),f(f(f(a,a),a),a)),X_45),X_16962),X_16964)),
inference(resolve,[$cnf( seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(X_16964,a),a),f(X_45,a)),f(f(f(f(f(f(f(f(f(f(X_16962,a),a),a),a),a),a),a),a),X_16965),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(X_45,a),a),a),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16965,a),a),a),a),a),a),a),a),a),a),a),a),a),a),a)),X_16962),X_16964)) )],[refute_0_53,refute_0_20]) ).
cnf(refute_0_55,plain,
seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(X_16967,a),a),f(X_16969,a)),f(f(f(f(f(f(f(f(f(f(X_16966,a),a),a),a),a),a),a),a),X_16968),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16968,a),a),a),a),a),a),a),a),a),a),a),a),a),a),f(f(f(a,a),a),a)),X_16969),X_16966),X_16967)),
inference(subst,[],[refute_0_54:[bind(X_16962,$fot(X_16966)),bind(X_16964,$fot(X_16967)),bind(X_16965,$fot(X_16968)),bind(X_45,$fot(X_16969))]]) ).
cnf(refute_0_56,plain,
seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(f(X_16967,a),a),f(X_16969,a)),f(f(f(f(f(f(f(f(f(f(X_16966,a),a),a),a),a),a),a),a),X_16968),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(a,a),a),f(f(f(a,a),a),a)),f(f(f(f(f(f(f(f(f(f(f(X_16968,a),a),a),a),a),a),a),a),a),a),a)),X_16969),X_16966),X_16967)),
inference(resolve,[$cnf( seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(X_16967,a),a),f(X_16969,a)),f(f(f(f(f(f(f(f(f(f(X_16966,a),a),a),a),a),a),a),a),X_16968),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16968,a),a),a),a),a),a),a),a),a),a),a),a),a),a),f(f(f(a,a),a),a)),X_16969),X_16966),X_16967)) )],[refute_0_55,refute_0_17]) ).
cnf(refute_0_57,plain,
seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(f(X_16971,a),a),f(X_16973,a)),f(f(f(f(f(f(f(f(f(f(X_16970,a),a),a),a),a),a),a),a),X_16972),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(a,a),a),f(f(f(a,a),a),a)),f(f(f(f(f(f(f(f(f(f(f(X_16972,a),a),a),a),a),a),a),a),a),a),a)),X_16973),X_16970),X_16971)),
inference(subst,[],[refute_0_56:[bind(X_16966,$fot(X_16970)),bind(X_16967,$fot(X_16971)),bind(X_16968,$fot(X_16972)),bind(X_16969,$fot(X_16973))]]) ).
cnf(refute_0_58,plain,
seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),f(f(f(f(X_16971,a),a),f(X_16973,a)),f(f(f(f(f(f(f(f(f(f(X_16970,a),a),a),a),a),a),a),a),X_16972),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X_16972,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),X_16973),X_16970),X_16971)),
inference(resolve,[$cnf( seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(f(X_16971,a),a),f(X_16973,a)),f(f(f(f(f(f(f(f(f(f(X_16970,a),a),a),a),a),a),a),a),X_16972),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(a,a),a),f(f(f(a,a),a),a)),f(f(f(f(f(f(f(f(f(f(f(X_16972,a),a),a),a),a),a),a),a),a),a),a)),X_16973),X_16970),X_16971)) )],[refute_0_57,refute_0_16]) ).
cnf(refute_0_59,plain,
seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)))),
inference(subst,[],[refute_0_58:[bind(X_16970,$fot(f(a,a))),bind(X_16971,$fot(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)))),bind(X_16972,$fot(a)),bind(X_16973,$fot(a))]]) ).
cnf(refute_0_60,plain,
$false,
inference(resolve,[$cnf( seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a))),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),a),f(a,a)),f(f(f(f(f(f(f(f(f(f(f(a,a),a),a),a),a),a),a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)))) )],[refute_0_59,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO691-1.002 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 10:22:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 18.70/18.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.70/18.93
% 18.70/18.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.77/18.95
%------------------------------------------------------------------------------