%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX185+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 06:59:46 PM UTC 2026
% Result : Theorem 21.03s 3.93s
% Output : CNFRefutation 21.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 31 unt; 3 nHn; 21 RR)
% Number of literals : 48 ( 47 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_38,plain,
append(lin(X1),append(cons(mul,nil),lin(X2))) = lin(x2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_38) ).
cnf(i_0_34,plain,
cons(X1,append(X2,X3)) = append(cons(X1,X2),X3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_34) ).
cnf(i_0_33,plain,
append(nil,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_33) ).
cnf(i_0_40,plain,
cons(y,nil) = lin(eY),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_40) ).
cnf(i_0_39,plain,
cons(x,nil) = lin(eX),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_39) ).
cnf(i_0_41,negated_conjecture,
( assoc(X1) = assoc(X2)
| lin(X1) != lin(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_41) ).
cnf(i_0_22,plain,
proj22(x2(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_22) ).
cnf(i_0_32,plain,
x2(assoc(X1),assoc(X2)) = assoc(x2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_32) ).
cnf(i_0_26,plain,
x2(X1,X2) != eX,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_26) ).
cnf(i_0_29,plain,
( assoc(X1) = X1
| z(proj1(X1),proj2(X1)) = X1
| x2(proj12(X1),proj22(X1)) = X1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_29) ).
cnf(i_0_24,plain,
z(X1,X2) != eX,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zi09xdqh/input.p',i_0_24) ).
cnf(c_0_53,plain,
append(lin(X1),append(cons(mul,nil),lin(X2))) = lin(x2(X1,X2)),
i_0_38 ).
cnf(c_0_54,plain,
cons(X1,append(X2,X3)) = append(cons(X1,X2),X3),
i_0_34 ).
cnf(c_0_55,plain,
append(nil,X1) = X1,
i_0_33 ).
cnf(c_0_56,plain,
append(lin(X1),cons(mul,lin(X2))) = lin(x2(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_57,plain,
cons(y,nil) = lin(eY),
i_0_40 ).
cnf(c_0_58,plain,
cons(y,cons(mul,lin(X1))) = lin(x2(eY,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_54]),c_0_55]) ).
cnf(c_0_59,plain,
cons(x,nil) = lin(eX),
i_0_39 ).
cnf(c_0_60,plain,
cons(y,cons(mul,cons(y,nil))) = lin(x2(eY,eY)),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_61,plain,
append(lin(X1),cons(mul,cons(x,nil))) = lin(x2(X1,eX)),
inference(spm,[status(thm)],[c_0_56,c_0_59]) ).
cnf(c_0_62,plain,
append(lin(x2(eY,eY)),X1) = cons(y,cons(mul,cons(y,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_54]),c_0_54]),c_0_55]) ).
cnf(c_0_63,plain,
cons(y,cons(mul,cons(x,nil))) = lin(x2(eY,eX)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( assoc(X1) = assoc(X2)
| lin(X1) != lin(X2) ),
i_0_41 ).
cnf(c_0_65,plain,
lin(x2(x2(eY,eY),eX)) = lin(x2(eY,x2(eY,eX))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_58]) ).
cnf(c_0_66,plain,
proj22(x2(X1,X2)) = X2,
i_0_22 ).
cnf(c_0_67,plain,
x2(assoc(X1),assoc(X2)) = assoc(x2(X1,X2)),
i_0_32 ).
cnf(c_0_68,negated_conjecture,
( assoc(x2(x2(eY,eY),eX)) = assoc(X1)
| lin(x2(eY,x2(eY,eX))) != lin(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
x2(X1,X2) != eX,
i_0_26 ).
cnf(c_0_70,plain,
proj22(assoc(x2(X1,X2))) = assoc(X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
assoc(x2(x2(eY,eY),eX)) = assoc(x2(eY,x2(eY,eX))),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_72,plain,
( assoc(X1) = X1
| z(proj1(X1),proj2(X1)) = X1
| x2(proj12(X1),proj22(X1)) = X1 ),
i_0_29 ).
cnf(c_0_73,plain,
assoc(x2(X1,X2)) != eX,
inference(spm,[status(thm)],[c_0_69,c_0_67]) ).
cnf(c_0_74,plain,
assoc(x2(eY,eX)) = assoc(eX),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_70]) ).
cnf(c_0_75,plain,
z(X1,X2) != eX,
i_0_24 ).
cnf(c_0_76,plain,
( z(proj1(X1),proj2(X1)) = X1
| assoc(X1) = X1
| X1 != eX ),
inference(spm,[status(thm)],[c_0_69,c_0_72]) ).
cnf(c_0_77,plain,
assoc(eX) != eX,
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
( assoc(X1) = X1
| X1 != eX ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,plain,
$false,
inference(spm,[status(thm)],[c_0_77,c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX185+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.34 % Computer : n029.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 09:32:46 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 21.03/3.93 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 21.03/3.93 # 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)
% 21.03/3.93 # Preprocessing time : 1.087 s
% 21.03/3.93
% 21.03/3.93 # Proof found!
% 21.03/3.93 # SZS status Theorem
% 21.03/3.93 # SZS output start CNFRefutation
% See solution above
% 21.03/3.93 # Training examples: 0 positive, 0 negative
% 21.03/3.93
% 21.03/3.93 # -------------------------------------------------
% 21.03/3.93 # User time : 1.613 s
% 21.03/3.93 # System time : 0.146 s
% 21.03/3.93 # Total time : 1.759 s
% 21.03/3.93 # ...preprocessing : 1.087 s
% 21.03/3.93 # ...main loop : 0.672 s
% 21.03/3.93 # Maximum resident set size: 178632 pages
% 21.03/3.93
%------------------------------------------------------------------------------