%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX219+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 06:59:51 PM UTC 2026
% Result : Theorem 130.80s 17.95s
% Output : CNFRefutation 130.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of clauses : 28 ( 10 unt; 0 nHn; 24 RR)
% Number of literals : 59 ( 34 equ; 47 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 : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 85 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_36,negated_conjecture,
~ tc(nil,X1,arr(arr(b,c),arr(arr(a,b),arr(a,c)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wajsxbb1/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-wajsxbb1/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-wajsxbb1/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-wajsxbb1/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-wajsxbb1/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-wajsxbb1/input.p',i_0_26) ).
cnf(c_0_43,negated_conjecture,
~ tc(nil,X1,arr(arr(b,c),arr(arr(a,b),arr(a,c)))),
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(b,c),nil),X1,arr(arr(a,b),arr(a,c))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,plain,
~ tc(cons(arr(a,b),cons(arr(b,c),nil)),X1,arr(a,c)),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_47,plain,
~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X1,c),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_48,plain,
( tc(X1,app(X2,X3,X4),X5)
| ~ tc(X1,X3,X4)
| ~ tc(X1,X2,arr(X4,X5)) ),
i_0_27 ).
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,b),cons(arr(b,c),nil))),X1,arr(X2,c))
| ~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X3,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
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,b),cons(arr(b,c),nil))),X1) != just(arr(X2,c))
| ~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X3,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
( index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X1) != just(arr(X2,c))
| ~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X3,arr(X4,X2))
| ~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X5,X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_54,plain,
( index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X1) != just(arr(X2,c))
| index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X3) != just(arr(X4,X2))
| ~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X5,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_51]) ).
cnf(c_0_55,plain,
( index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X1) != just(arr(X2,c))
| index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X3) != just(arr(X4,X2))
| index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X5) != just(X4) ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_56,plain,
index(cons(X1,X2),zero) = just(X1),
i_0_25 ).
cnf(c_0_57,plain,
( index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X1) != just(arr(X2,c))
| index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X3) != just(arr(X4,X2))
| just(a) != just(X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,plain,
index(cons(X1,X2),suc(X3)) = index(X2,X3),
i_0_26 ).
cnf(c_0_59,plain,
( index(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X1) != just(arr(X2,c))
| index(cons(arr(a,b),cons(arr(b,c),nil)),X3) != just(arr(X4,X2))
| just(a) != just(X4) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,plain,
( index(cons(arr(a,b),cons(arr(b,c),nil)),X1) != just(arr(X2,c))
| index(cons(arr(a,b),cons(arr(b,c),nil)),X3) != just(arr(X4,X2))
| just(a) != just(X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_61,plain,
( index(cons(arr(a,b),cons(arr(b,c),nil)),X1) != just(arr(X2,c))
| just(arr(a,b)) != just(arr(X3,X2))
| just(a) != just(X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_56]) ).
cnf(c_0_62,plain,
( index(cons(arr(b,c),nil),X1) != just(arr(X2,c))
| just(arr(a,b)) != just(arr(X3,X2))
| just(a) != just(X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
cnf(c_0_63,plain,
( just(arr(b,c)) != just(arr(X1,c))
| just(arr(a,b)) != just(arr(X2,X1))
| just(a) != just(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
cnf(c_0_64,plain,
$false,
inference(er,[status(thm)],[c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX219+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 12:21:50 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 130.80/17.95 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 130.80/17.95 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 32; version: 991; iters: 150)
% 130.80/17.95 # Preprocessing time : 0.847 s
% 130.80/17.95
% 130.80/17.95 # Proof found!
% 130.80/17.95 # SZS status Theorem
% 130.80/17.95 # SZS output start CNFRefutation
% See solution above
% 130.80/17.95 # Training examples: 0 positive, 0 negative
% 130.80/17.95
% 130.80/17.95 # -------------------------------------------------
% 130.80/17.95 # User time : 15.255 s
% 130.80/17.95 # System time : 0.160 s
% 130.80/17.95 # Total time : 15.415 s
% 130.80/17.95 # ...preprocessing : 0.847 s
% 130.80/17.95 # ...main loop : 14.568 s
% 130.80/17.95 # Maximum resident set size: 168192 pages
% 130.80/17.95
%------------------------------------------------------------------------------