%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 21:24:30 EDT 2022
% Result : Theorem 7.60s 2.45s
% Output : CNFRefutation 7.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 17 RR)
% Number of literals : 31 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( isomorphic_groups(X1,X2)
| ~ a_group_isomorphism_from_to(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_1) ).
cnf(i_0_7,plain,
( a_group_isomorphism_from_to(alpha_hat(X1),first_homotop_grp(X2,X3),first_homotop_grp(X2,X4))
| ~ a_path_from_to_in(X1,X3,X4,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_7) ).
cnf(i_0_6,plain,
( a_path_from_to_in(esk2_3(X1,X2,X3),X2,X3,X1)
| ~ path_connected(X1)
| ~ a_member_of(X3,X1)
| ~ a_member_of(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_6) ).
cnf(i_0_8,negated_conjecture,
~ isomorphic_groups(first_homotop_grp(esk3_0,esk4_0),first_homotop_grp(esk3_0,esk5_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_8) ).
cnf(i_0_11,negated_conjecture,
path_connected(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_11) ).
cnf(i_0_9,negated_conjecture,
a_member_of(esk5_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
a_member_of(esk4_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cftljm3/lgb.p',i_0_10) ).
cnf(c_0_19,plain,
( isomorphic_groups(X1,X2)
| ~ a_group_isomorphism_from_to(X3,X1,X2) ),
i_0_1 ).
cnf(c_0_20,plain,
( a_group_isomorphism_from_to(alpha_hat(X1),first_homotop_grp(X2,X3),first_homotop_grp(X2,X4))
| ~ a_path_from_to_in(X1,X3,X4,X2) ),
i_0_7 ).
cnf(c_0_21,plain,
( isomorphic_groups(first_homotop_grp(X1,X2),first_homotop_grp(X1,X3))
| ~ a_path_from_to_in(X4,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
( a_path_from_to_in(esk2_3(X1,X2,X3),X2,X3,X1)
| ~ path_connected(X1)
| ~ a_member_of(X3,X1)
| ~ a_member_of(X2,X1) ),
i_0_6 ).
cnf(c_0_23,negated_conjecture,
~ isomorphic_groups(first_homotop_grp(esk3_0,esk4_0),first_homotop_grp(esk3_0,esk5_0)),
i_0_8 ).
cnf(c_0_24,plain,
( isomorphic_groups(first_homotop_grp(X1,X2),first_homotop_grp(X1,X3))
| ~ path_connected(X1)
| ~ a_member_of(X3,X1)
| ~ a_member_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
path_connected(esk3_0),
i_0_11 ).
cnf(c_0_26,negated_conjecture,
a_member_of(esk5_0,esk3_0),
i_0_9 ).
cnf(c_0_27,negated_conjecture,
a_member_of(esk4_0,esk3_0),
i_0_10 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 08:28:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.60/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.60/2.45 # No SInE strategy applied
% 7.60/2.45 # Trying AutoSched0 for 150 seconds
% 7.60/2.45 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.60/2.45 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.60/2.45 #
% 7.60/2.45 # Preprocessing time : 0.014 s
% 7.60/2.45 # Presaturation interreduction done
% 7.60/2.45
% 7.60/2.45 # Proof found!
% 7.60/2.45 # SZS status Theorem
% 7.60/2.45 # SZS output start CNFRefutation
% See solution above
% 7.60/2.45 # Training examples: 0 positive, 0 negative
% 7.60/2.45
% 7.60/2.45 # -------------------------------------------------
% 7.60/2.45 # User time : 0.013 s
% 7.60/2.45 # System time : 0.005 s
% 7.60/2.45 # Total time : 0.018 s
% 7.60/2.45 # Maximum resident set size: 7128 pages
% 7.60/2.45
%------------------------------------------------------------------------------