%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP041-2 : 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 : 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 12:37:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 17 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(total_function2,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(prove_reflexivity,negated_conjecture,
~ equalish(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).
cnf(left_identity,axiom,
product(identity,X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_0_3,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
inference(fof_simplification,[status(thm)],[total_function2]) ).
cnf(c_0_4,negated_conjecture,
~ equalish(a,a),
inference(fof_simplification,[status(thm)],[prove_reflexivity]) ).
cnf(c_0_5,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_3 ).
cnf(c_0_6,axiom,
product(identity,X1,X1),
left_identity ).
cnf(c_0_7,negated_conjecture,
~ equalish(a,a),
c_0_4 ).
cnf(c_0_8,plain,
( ~ product(identity,X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP041-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n020.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 19:56:17 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.43 % Version: 3.5.1
% 0.12/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.43 % Starting sh5l with 300s (1) cores
% 0.12/0.43 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1084232 completed with status 0
% 0.12/0.43 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.12/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.43 % No SInE strategy applied
% 0.12/0.43 % Search class: FHUNS-FFSF21-SFFFFFNN
% 0.12/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.43 % Starting G-E--_107_C18_F1_AE_Q4_CS_SP_S0Y with 136s (1) cores
% 0.12/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.43 % G-E--_107_C18_F1_AE_Q4_CS_SP_S0Y with pid 1084239 completed with status 0
% 0.12/0.43 % Result found by G-E--_107_C18_F1_AE_Q4_CS_SP_S0Y
% 0.12/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.43 % No SInE strategy applied
% 0.12/0.43 % Search class: FHUNS-FFSF21-SFFFFFNN
% 0.12/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.43 % Starting G-E--_107_C18_F1_AE_Q4_CS_SP_S0Y with 136s (1) cores
% 0.12/0.43 % Preprocessing time : 0.001 s
% 0.12/0.43
% 0.12/0.43 % Proof found!
% 0.12/0.43 % SZS status Unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation
% See solution above
% 0.12/0.43 % Parsed axioms : 8
% 0.12/0.43 % Removed by relevancy pruning/SinE : 0
% 0.12/0.43 % Initial clauses : 8
% 0.12/0.43 % Removed in clause preprocessing : 0
% 0.12/0.43 % Initial clauses in saturation : 8
% 0.12/0.43 % Processed clauses : 12
% 0.12/0.43 % ...of these trivial : 0
% 0.12/0.43 % ...subsumed : 0
% 0.12/0.43 % ...remaining for further processing : 12
% 0.12/0.43 % Other redundant clauses eliminated : 0
% 0.12/0.43 % Clauses deleted for lack of memory : 0
% 0.12/0.43 % Backward-subsumed : 0
% 0.12/0.43 % Backward-rewritten : 0
% 0.12/0.43 % Generated clauses : 19
% 0.12/0.43 % ...of the previous two non-redundant : 16
% 0.12/0.43 % ...aggressively subsumed : 0
% 0.12/0.43 % Contextual simplify-reflections : 0
% 0.12/0.43 % Paramodulations : 19
% 0.12/0.43 % Factorizations : 0
% 0.12/0.43 % NegExts : 0
% 0.12/0.43 % Equation resolutions : 0
% 0.12/0.43 % Disequality decompositions : 0
% 0.12/0.43 % Total rewrite steps : 1
% 0.12/0.43 % ...of those cached : 0
% 0.12/0.43 % Propositional unsat checks : 0
% 0.12/0.43 % Propositional check models : 0
% 0.12/0.43 % Propositional check unsatisfiable : 0
% 0.12/0.43 % Propositional clauses : 0
% 0.12/0.43 % Propositional clauses after purity: 0
% 0.12/0.43 % Propositional unsat core size : 0
% 0.12/0.43 % Propositional preprocessing time : 0.000
% 0.12/0.43 % Propositional encoding time : 0.000
% 0.12/0.43 % Propositional solver time : 0.000
% 0.12/0.43 % Success case prop preproc time : 0.000
% 0.12/0.43 % Success case prop encoding time : 0.000
% 0.12/0.43 % Success case prop solver time : 0.000
% 0.12/0.43 % Current number of processed clauses : 12
% 0.12/0.43 % Positive orientable unit clauses : 3
% 0.12/0.43 % Positive unorientable unit clauses: 0
% 0.12/0.43 % Negative unit clauses : 1
% 0.12/0.43 % Non-unit-clauses : 8
% 0.12/0.43 % Current number of unprocessed clauses: 12
% 0.12/0.43 % ...number of literals in the above : 36
% 0.12/0.43 % Current number of archived formulas : 0
% 0.12/0.43 % Current number of archived clauses : 0
% 0.12/0.43 % Clause-clause subsumption calls (NU) : 6
% 0.12/0.43 % Rec. Clause-clause subsumption calls : 5
% 0.12/0.43 % Non-unit clause-clause subsumptions : 0
% 0.12/0.43 % Unit Clause-clause subsumption calls : 0
% 0.12/0.43 % Rewrite failures with RHS unbound : 0
% 0.12/0.43 % BW rewrite match attempts : 1
% 0.12/0.43 % BW rewrite match successes : 0
% 0.12/0.43 % Condensation attempts : 0
% 0.12/0.43 % Condensation successes : 0
% 0.12/0.43 % Termbank termtop insertions : 426
% 0.12/0.43 % Search garbage collected termcells : 24
% 0.12/0.43
% 0.12/0.43 % -------------------------------------------------
% 0.12/0.43 % User time : 0.003 s
% 0.12/0.43 % System time : 0.002 s
% 0.12/0.43 % Total time : 0.005 s
% 0.12/0.43 % Maximum resident set size: 3640 pages
% 0.12/0.43
% 0.12/0.43 % -------------------------------------------------
% 0.12/0.43 % User time : 0.007 s
% 0.12/0.43 % System time : 0.013 s
% 0.12/0.43 % Total time : 0.020 s
% 0.12/0.43 % Maximum resident set size: 4864 pages
% 0.12/0.43 % E exiting
%------------------------------------------------------------------------------