%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP022+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Thu Sep 24 03:53:50 PM UTC 2026
% Result : Theorem 0.24s 0.55s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 55 ( 19 ~; 18 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 52 ( 2 sgn 33 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isomorphic_groups_defn,axiom,
! [X1,X2] :
( isomorphic_groups(X1,X2)
<=> ? [X3] : a_group_isomorphism_from_to(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isomorphic_groups_defn) ).
fof(m_8_2_1,axiom,
! [X1,X5,X6,X4] :
( a_path_from_to_in(X1,X5,X6,X4)
=> a_group_isomorphism_from_to(alpha_hat(X1),first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_8_2_1) ).
fof(m_8_2_2,conjecture,
! [X4,X5,X6] :
( ( a_member_of(X6,X4)
& a_member_of(X5,X4)
& path_connected(X4) )
=> isomorphic_groups(first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_8_2_2) ).
fof(path_connected_defn,axiom,
! [X4,X5,X6] :
( path_connected(X4)
<=> ( ( a_member_of(X6,X4)
& a_member_of(X5,X4) )
=> ? [X7] : a_path_from_to_in(X7,X5,X6,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_connected_defn) ).
fof(c_0_4,plain,
! [X8,X9,X11,X12,X13] :
( ( isomorphic_groups(X11,X12)
| ~ a_group_isomorphism_from_to(X13,X11,X12) )
& ( a_group_isomorphism_from_to(esk1_2(X8,X9),X8,X9)
| ~ isomorphic_groups(X8,X9) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isomorphic_groups_defn])])])])])]) ).
fof(c_0_5,plain,
! [X24,X25,X26,X27] :
( a_group_isomorphism_from_to(alpha_hat(X24),first_homotop_grp(X27,X25),first_homotop_grp(X27,X26))
| ~ a_path_from_to_in(X24,X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_8_2_1])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X4,X5,X6] :
( ( a_member_of(X6,X4)
& a_member_of(X5,X4)
& path_connected(X4) )
=> isomorphic_groups(first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) ),
inference(assume_negation,[status(cth)],[m_8_2_2]) ).
cnf(c_0_7,plain,
( ~ a_group_isomorphism_from_to(X1,X2,X3)
| isomorphic_groups(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( ~ a_path_from_to_in(X1,X2,X3,X4)
| a_group_isomorphism_from_to(alpha_hat(X1),first_homotop_grp(X4,X2),first_homotop_grp(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X14,X15,X16,X18,X19,X20,X21,X22,X23] :
( ( path_connected(X18)
| ~ a_path_from_to_in(X23,X21,X22,X18) )
& ( path_connected(X18)
| a_member_of(X20,X18) )
& ( path_connected(X18)
| a_member_of(X19,X18) )
& ( a_path_from_to_in(esk2_3(X14,X15,X16),X15,X16,X14)
| ~ a_member_of(X16,X14)
| ~ a_member_of(X15,X14)
| ~ path_connected(X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[path_connected_defn])])])])])])]) ).
fof(c_0_10,negated_conjecture,
( ~ isomorphic_groups(first_homotop_grp(esk3_0,esk4_0),first_homotop_grp(esk3_0,esk5_0))
& a_member_of(esk5_0,esk3_0)
& a_member_of(esk4_0,esk3_0)
& path_connected(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
( ~ a_path_from_to_in(X4,X2,X3,X1)
| isomorphic_groups(first_homotop_grp(X1,X2),first_homotop_grp(X1,X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( ~ a_member_of(X3,X1)
| ~ a_member_of(X2,X1)
| ~ path_connected(X1)
| a_path_from_to_in(esk2_3(X1,X2,X3),X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ isomorphic_groups(first_homotop_grp(esk3_0,esk4_0),first_homotop_grp(esk3_0,esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ path_connected(X1)
| ~ a_member_of(X2,X1)
| ~ a_member_of(X3,X1)
| isomorphic_groups(first_homotop_grp(X1,X2),first_homotop_grp(X1,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
a_member_of(esk5_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
a_member_of(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
path_connected(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,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_13,c_0_14]),c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP022+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n020.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 12:39:17 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.55 % Version: 3.5.1
% 0.24/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.24/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.24/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.55 % Starting sh5l with 300s (1) cores
% 0.24/0.55 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2925582 completed with status 0
% 0.24/0.55 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.24/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.24/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.24/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.55 % No SInE strategy applied
% 0.24/0.55 % Search class: FGUNF-FFSS32-SFFFFFNN
% 0.24/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.24/0.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.55 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.55 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.55 % SubtermCWHack with pid 2925586 completed with status 0
% 0.24/0.55 % Result found by SubtermCWHack
% 0.24/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.24/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.24/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.55 % No SInE strategy applied
% 0.24/0.55 % Search class: FGUNF-FFSS32-SFFFFFNN
% 0.24/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.55 % Preprocessing time : 0.001 s
% 0.24/0.55
% 0.24/0.55 % Proof found!
% 0.24/0.55 % SZS status Theorem
% 0.24/0.55 % SZS output start CNFRefutation
% See solution above
% 0.24/0.55 % Parsed axioms : 4
% 0.24/0.55 % Removed by relevancy pruning/SinE : 0
% 0.24/0.55 % Initial clauses : 11
% 0.24/0.55 % Removed in clause preprocessing : 0
% 0.24/0.55 % Initial clauses in saturation : 11
% 0.24/0.55 % Processed clauses : 13
% 0.24/0.55 % ...of these trivial : 0
% 0.24/0.55 % ...subsumed : 1
% 0.24/0.55 % ...remaining for further processing : 12
% 0.24/0.55 % Other redundant clauses eliminated : 0
% 0.24/0.55 % Clauses deleted for lack of memory : 0
% 0.24/0.55 % Backward-subsumed : 0
% 0.24/0.55 % Backward-rewritten : 0
% 0.24/0.55 % Generated clauses : 5
% 0.24/0.55 % ...of the previous two non-redundant : 2
% 0.24/0.55 % ...aggressively subsumed : 0
% 0.24/0.55 % Contextual simplify-reflections : 0
% 0.24/0.55 % Paramodulations : 5
% 0.24/0.55 % Factorizations : 0
% 0.24/0.55 % NegExts : 0
% 0.24/0.55 % Equation resolutions : 0
% 0.24/0.55 % Disequality decompositions : 0
% 0.24/0.55 % Total rewrite steps : 3
% 0.24/0.55 % ...of those cached : 0
% 0.24/0.55 % Propositional unsat checks : 0
% 0.24/0.55 % Propositional check models : 0
% 0.24/0.55 % Propositional check unsatisfiable : 0
% 0.24/0.55 % Propositional clauses : 0
% 0.24/0.55 % Propositional clauses after purity: 0
% 0.24/0.55 % Propositional unsat core size : 0
% 0.24/0.55 % Propositional preprocessing time : 0.000
% 0.24/0.55 % Propositional encoding time : 0.000
% 0.24/0.55 % Propositional solver time : 0.000
% 0.24/0.55 % Success case prop preproc time : 0.000
% 0.24/0.55 % Success case prop encoding time : 0.000
% 0.24/0.55 % Success case prop solver time : 0.000
% 0.24/0.55 % Current number of processed clauses : 12
% 0.24/0.55 % Positive orientable unit clauses : 3
% 0.24/0.55 % Positive unorientable unit clauses: 0
% 0.24/0.55 % Negative unit clauses : 1
% 0.24/0.55 % Non-unit-clauses : 8
% 0.24/0.55 % Current number of unprocessed clauses: 0
% 0.24/0.55 % ...number of literals in the above : 0
% 0.24/0.55 % Current number of archived formulas : 0
% 0.24/0.55 % Current number of archived clauses : 0
% 0.24/0.55 % Clause-clause subsumption calls (NU) : 6
% 0.24/0.55 % Rec. Clause-clause subsumption calls : 5
% 0.24/0.55 % Non-unit clause-clause subsumptions : 1
% 0.24/0.55 % Unit Clause-clause subsumption calls : 0
% 0.24/0.55 % Rewrite failures with RHS unbound : 0
% 0.24/0.55 % BW rewrite match attempts : 0
% 0.24/0.55 % BW rewrite match successes : 0
% 0.24/0.55 % Condensation attempts : 0
% 0.24/0.55 % Condensation successes : 0
% 0.24/0.55 % Termbank termtop insertions : 810
% 0.24/0.55 % Search garbage collected termcells : 250
% 0.24/0.55
% 0.24/0.55 % -------------------------------------------------
% 0.24/0.55 % User time : 0.005 s
% 0.24/0.55 % System time : 0.001 s
% 0.24/0.55 % Total time : 0.006 s
% 0.24/0.55 % Maximum resident set size: 3632 pages
% 0.24/0.55
% 0.24/0.55 % -------------------------------------------------
% 0.24/0.55 % User time : 0.010 s
% 0.24/0.55 % System time : 0.012 s
% 0.24/0.55 % Total time : 0.022 s
% 0.24/0.55 % Maximum resident set size: 4608 pages
% 0.24/0.55 % E exiting
%------------------------------------------------------------------------------