%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:37:25 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 21 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condition,axiom,
( ~ product(X1,inverse(X2),X3)
| ~ an_element(X2)
| ~ an_element(X1)
| an_element(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
cnf(prove_identity_is_an_element,negated_conjecture,
~ an_element(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_an_element) ).
cnf(right_inverse,axiom,
product(X1,inverse(X1),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(element_of_set,axiom,
an_element(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_set) ).
cnf(c_0_4,plain,
( ~ product(X1,inverse(X2),X3)
| ~ an_element(X2)
| ~ an_element(X1)
| an_element(X3) ),
inference(fof_simplification,[status(thm)],[condition]) ).
cnf(c_0_5,negated_conjecture,
~ an_element(identity),
inference(fof_simplification,[status(thm)],[prove_identity_is_an_element]) ).
cnf(c_0_6,plain,
( ~ product(X1,inverse(X2),X3)
| ~ an_element(X2)
| ~ an_element(X1)
| an_element(X3) ),
c_0_4 ).
cnf(c_0_7,axiom,
product(X1,inverse(X1),identity),
right_inverse ).
cnf(c_0_8,negated_conjecture,
~ an_element(identity),
c_0_5 ).
cnf(c_0_9,axiom,
an_element(a),
element_of_set ).
cnf(c_0_10,plain,
~ an_element(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 19:52:52 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 730614 completed with status 0
% 0.07/0.34 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.07/0.34 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.07/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.34 % No SInE strategy applied
% 0.07/0.34 % Search class: FHUNM-FFSF11-SFFFFFNN
% 0.07/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.34 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.07/0.34 % Starting new_bool_3 with 136s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 136s (1) cores
% 0.07/0.34 % SubtermCWHack with pid 730618 completed with status 0
% 0.07/0.34 % Result found by SubtermCWHack
% 0.07/0.34 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.07/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.34 % No SInE strategy applied
% 0.07/0.34 % Search class: FHUNM-FFSF11-SFFFFFNN
% 0.07/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 9
% 0.07/0.34 % Removed by relevancy pruning/SinE : 0
% 0.07/0.34 % Initial clauses : 9
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 9
% 0.07/0.34 % Processed clauses : 8
% 0.07/0.34 % ...of these trivial : 0
% 0.07/0.34 % ...subsumed : 0
% 0.07/0.34 % ...remaining for further processing : 8
% 0.07/0.34 % Other redundant clauses eliminated : 0
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 2
% 0.07/0.34 % Backward-rewritten : 0
% 0.07/0.34 % Generated clauses : 4
% 0.07/0.34 % ...of the previous two non-redundant : 3
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 0
% 0.07/0.34 % Paramodulations : 3
% 0.07/0.34 % Factorizations : 0
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 0
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 0
% 0.07/0.34 % ...of those cached : 0
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.34 % Propositional encoding time : 0.000
% 0.07/0.34 % Propositional solver time : 0.000
% 0.07/0.34 % Success case prop preproc time : 0.000
% 0.07/0.34 % Success case prop encoding time : 0.000
% 0.07/0.34 % Success case prop solver time : 0.000
% 0.07/0.34 % Current number of processed clauses : 5
% 0.07/0.34 % Positive orientable unit clauses : 4
% 0.07/0.34 % Positive unorientable unit clauses: 0
% 0.07/0.34 % Negative unit clauses : 1
% 0.07/0.34 % Non-unit-clauses : 0
% 0.07/0.34 % Current number of unprocessed clauses: 4
% 0.07/0.34 % ...number of literals in the above : 13
% 0.07/0.34 % Current number of archived formulas : 0
% 0.07/0.34 % Current number of archived clauses : 3
% 0.07/0.34 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.34 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.34 % Non-unit clause-clause subsumptions : 0
% 0.07/0.34 % Unit Clause-clause subsumption calls : 2
% 0.07/0.34 % Rewrite failures with RHS unbound : 0
% 0.07/0.34 % BW rewrite match attempts : 0
% 0.07/0.34 % BW rewrite match successes : 0
% 0.07/0.34 % Condensation attempts : 0
% 0.07/0.34 % Condensation successes : 0
% 0.07/0.34 % Termbank termtop insertions : 252
% 0.07/0.34 % Search garbage collected termcells : 23
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.002 s
% 0.07/0.34 % System time : 0.002 s
% 0.07/0.34 % Total time : 0.004 s
% 0.07/0.34 % Maximum resident set size: 3636 pages
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.005 s
% 0.07/0.34 % System time : 0.005 s
% 0.07/0.34 % Total time : 0.010 s
% 0.07/0.34 % Maximum resident set size: 4608 pages
% 0.07/0.34 % E exiting
%------------------------------------------------------------------------------