%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX224+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n001.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 : 300s
% DateTime : Tue May 5 06:59:52 PM UTC 2026
% Result : Theorem 18.74s 3.87s
% Output : CNFRefutation 18.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of clauses : 25 ( 9 unt; 0 nHn; 21 RR)
% Number of literals : 53 ( 27 equ; 41 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 78 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_36,negated_conjecture,
~ tc(nil,X1,arr(arr(a,arr(a,b)),arr(a,b))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-603l3luu/input.p',i_0_36) ).
cnf(i_0_31,plain,
( tc(X1,lam(X2),arr(X3,X4))
| ~ tc(cons(X3,X1),X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-603l3luu/input.p',i_0_31) ).
cnf(i_0_27,plain,
( tc(X1,app(X2,X3,X4),X5)
| ~ tc(X1,X3,X4)
| ~ tc(X1,X2,arr(X4,X5)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-603l3luu/input.p',i_0_27) ).
cnf(i_0_34,plain,
( tc(X1,var(X2),X3)
| X4 != X3
| index(X1,X2) != just(X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-603l3luu/input.p',i_0_34) ).
cnf(i_0_25,plain,
index(cons(X1,X2),zero) = just(X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-603l3luu/input.p',i_0_25) ).
cnf(i_0_26,plain,
index(cons(X1,X2),suc(X3)) = index(X2,X3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-603l3luu/input.p',i_0_26) ).
cnf(c_0_43,negated_conjecture,
~ tc(nil,X1,arr(arr(a,arr(a,b)),arr(a,b))),
i_0_36 ).
cnf(c_0_44,plain,
( tc(X1,lam(X2),arr(X3,X4))
| ~ tc(cons(X3,X1),X2,X4) ),
i_0_31 ).
cnf(c_0_45,negated_conjecture,
~ tc(cons(arr(a,arr(a,b)),nil),X1,arr(a,b)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,plain,
~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X1,b),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_47,plain,
( tc(X1,app(X2,X3,X4),X5)
| ~ tc(X1,X3,X4)
| ~ tc(X1,X2,arr(X4,X5)) ),
i_0_27 ).
cnf(c_0_48,plain,
( ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X1,arr(X2,b))
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X3,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
( tc(X1,var(X2),X3)
| X4 != X3
| index(X1,X2) != just(X4) ),
i_0_34 ).
cnf(c_0_50,plain,
( ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X1,arr(X2,arr(X3,b)))
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X4,X3)
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X5,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_51,plain,
( tc(X1,var(X2),X3)
| index(X1,X2) != just(X3) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_52,plain,
( index(cons(a,cons(arr(a,arr(a,b)),nil)),X1) != just(arr(X2,arr(X3,b)))
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X4,X3)
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X5,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
( index(cons(a,cons(arr(a,arr(a,b)),nil)),X1) != just(arr(X2,arr(X3,b)))
| index(cons(a,cons(arr(a,arr(a,b)),nil)),X4) != just(X3)
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X5,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_54,plain,
( index(cons(a,cons(arr(a,arr(a,b)),nil)),X1) != just(arr(X2,arr(X3,b)))
| index(cons(a,cons(arr(a,arr(a,b)),nil)),X4) != just(X3)
| index(cons(a,cons(arr(a,arr(a,b)),nil)),X5) != just(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_51]) ).
cnf(c_0_55,plain,
index(cons(X1,X2),zero) = just(X1),
i_0_25 ).
cnf(c_0_56,plain,
( index(cons(a,cons(arr(a,arr(a,b)),nil)),X1) != just(arr(X2,arr(X3,b)))
| index(cons(a,cons(arr(a,arr(a,b)),nil)),X4) != just(X2)
| just(a) != just(X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,plain,
( index(cons(a,cons(arr(a,arr(a,b)),nil)),X1) != just(arr(X2,arr(X3,b)))
| just(a) != just(X2)
| just(a) != just(X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_58,plain,
index(cons(X1,X2),suc(X3)) = index(X2,X3),
i_0_26 ).
cnf(c_0_59,plain,
( index(cons(arr(a,arr(a,b)),nil),X1) != just(arr(X2,arr(X3,b)))
| just(a) != just(X2)
| just(a) != just(X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,plain,
( just(arr(a,arr(a,b))) != just(arr(X1,arr(X2,b)))
| just(a) != just(X1)
| just(a) != just(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_61,plain,
$false,
inference(er,[status(thm)],[c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX224+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.34 % Computer : n001.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 12:39:35 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 18.74/3.87 # ENIGMATIC: Solved by autoschedule:
% 18.74/3.87 # No SInE strategy applied
% 18.74/3.87 # Trying AutoSched0 for 150 seconds
% 18.74/3.87 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 18.74/3.87 # and selection function SelectComplexExceptUniqMaxHorn.
% 18.74/3.87 #
% 18.74/3.87 # Preprocessing time : 0.023 s
% 18.74/3.87 # Presaturation interreduction done
% 18.74/3.87
% 18.74/3.87 # Proof found!
% 18.74/3.87 # SZS status Theorem
% 18.74/3.87 # SZS output start CNFRefutation
% See solution above
% 18.74/3.87 # Training examples: 0 positive, 0 negative
% 18.74/3.87
% 18.74/3.87 # -------------------------------------------------
% 18.74/3.87 # User time : 1.388 s
% 18.74/3.87 # System time : 0.008 s
% 18.74/3.87 # Total time : 1.396 s
% 18.74/3.87 # Maximum resident set size: 7120 pages
% 18.74/3.87
%------------------------------------------------------------------------------