%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL375+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:44:36 AM UTC 2026
% Result : Theorem 61.54s 10.25s
% Output : CNFRefutation 61.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 56 ( 24 unt; 0 nHn; 15 RR)
% Number of literals : 98 ( 0 equ; 45 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 156 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-56gn6sxo/input.p',i_0_1) ).
cnf(i_0_2,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-56gn6sxo/input.p',i_0_2) ).
cnf(i_0_4,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-56gn6sxo/input.p',i_0_4) ).
cnf(i_0_3,plain,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-56gn6sxo/input.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-56gn6sxo/input.p',i_0_5) ).
cnf(c_0_11,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
i_0_1 ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
i_0_2 ).
cnf(c_0_13,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(X4,X3)))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
i_0_4 ).
cnf(c_0_17,plain,
is_a_theorem(implies(implies(not(X1),X1),X1)),
i_0_3 ).
cnf(c_0_18,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X4))
| ~ is_a_theorem(implies(X4,X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_23,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X4),X2)))
| ~ is_a_theorem(implies(implies(implies(X4,X5),implies(X3,X5)),X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_27,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_28,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_28]) ).
cnf(c_0_32,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(X1,implies(X4,X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_33,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]) ).
cnf(c_0_34,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(not(X3),X4),X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_36,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X4,X2))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_37,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X4)))
| ~ is_a_theorem(implies(X4,X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X4),implies(implies(X2,X3),X4)))),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_17]) ).
cnf(c_0_41,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X2,implies(X5,X4)))
| ~ is_a_theorem(implies(X1,implies(X3,X5))) ),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_42,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X4)))
| ~ is_a_theorem(implies(X1,implies(implies(implies(X3,X5),implies(X2,X5)),X4))) ),
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_43,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X4),X5)))
| ~ is_a_theorem(implies(implies(implies(X2,X3),X4),X5)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(not(implies(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_40,c_0_16]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(X1,implies(implies(not(not(X1)),not(X1)),X2))),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_47,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X1,implies(X3,not(X2)))) ),
inference(spm,[status(thm)],[c_0_41,c_0_16]) ).
cnf(c_0_48,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X4)))
| ~ is_a_theorem(implies(implies(implies(X2,X5),implies(X3,X5)),X4)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X1,implies(X3,implies(not(not(X2)),not(X2))))) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_47,c_0_16]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(not(X1),implies(X1,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X4)))
| ~ is_a_theorem(implies(implies(X3,X2),X4)) ),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
i_0_5 ).
cnf(c_0_57,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X1,X4),X5)))
| ~ is_a_theorem(implies(implies(implies(X4,X2),X3),X5)) ),
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_58,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_20,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
~ is_a_theorem(implies(implies(implies(u,y),z),implies(implies(u,z),z))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_61,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL375+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.41 % Computer : n013.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 5 19:33:06 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.27/0.51 # ENIGMATIC: Selected complete mode:
% 61.54/10.25 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 61.54/10.25 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 26; version: 991; iters: 150)
% 61.54/10.25 # Preprocessing time : 1.986 s
% 61.54/10.25
% 61.54/10.25 # Proof found!
% 61.54/10.25 # SZS status Theorem
% 61.54/10.25 # SZS output start CNFRefutation
% See solution above
% 61.54/10.25 # Training examples: 0 positive, 0 negative
% 61.54/10.25
% 61.54/10.25 # -------------------------------------------------
% 61.54/10.25 # User time : 5.380 s
% 61.54/10.25 # System time : 0.344 s
% 61.54/10.25 # Total time : 5.724 s
% 61.54/10.25 # ...preprocessing : 1.986 s
% 61.54/10.25 # ...main loop : 3.738 s
% 61.54/10.25 # Maximum resident set size: 176244 pages
% 61.54/10.25
%------------------------------------------------------------------------------