%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:05:30 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 6 ( 5 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_equality,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality) ).
cnf(middle_associator,axiom,
multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',middle_associator) ).
cnf(c_0_2,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
inference(fof_simplification,[status(thm)],[prove_equality]) ).
cnf(c_0_3,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
c_0_2 ).
cnf(c_0_4,axiom,
multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity,
middle_associator ).
cnf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n008.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Mon Sep 21 04:11:24 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.56 Running first-order theorem proving
% 0.27/0.56 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
% 0.27/0.62 % Version: 3.5.1
% 0.27/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.62 % Starting sh5l with 300s (1) cores
% 0.27/0.62 % new_bool_3 with pid 113244 completed with status 0
% 0.27/0.62 % Result found by new_bool_3
% 0.27/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.62 % Search class: FUUPM-FFSF32-MFFFFFNN
% 0.27/0.62 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.62 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.62 % SubtermCWHack with pid 113249 completed with status 0
% 0.27/0.62 % Result found by SubtermCWHack
% 0.27/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.62 % Search class: FUUPM-FFSF32-MFFFFFNN
% 0.27/0.62 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.62 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.62 % Preprocessing time : 0.002 s
% 0.27/0.62
% 0.27/0.62 % Proof found!
% 0.27/0.62 % SZS status Unsatisfiable
% 0.27/0.62 % SZS output start CNFRefutation
% See solution above
% 0.27/0.62 % Parsed axioms : 22
% 0.27/0.62 % Removed by relevancy pruning/SinE : 1
% 0.27/0.62 % Initial clauses : 21
% 0.27/0.62 % Removed in clause preprocessing : 0
% 0.27/0.62 % Initial clauses in saturation : 21
% 0.27/0.62 % Processed clauses : 121
% 0.27/0.62 % ...of these trivial : 36
% 0.27/0.62 % ...subsumed : 47
% 0.27/0.62 % ...remaining for further processing : 37
% 0.27/0.62 % Other redundant clauses eliminated : 0
% 0.27/0.62 % Clauses deleted for lack of memory : 0
% 0.27/0.62 % Backward-subsumed : 0
% 0.27/0.62 % Backward-rewritten : 7
% 0.27/0.62 % Generated clauses : 531
% 0.27/0.62 % ...of the previous two non-redundant : 339
% 0.27/0.62 % ...aggressively subsumed : 0
% 0.27/0.62 % Contextual simplify-reflections : 0
% 0.27/0.62 % Paramodulations : 531
% 0.27/0.62 % Factorizations : 0
% 0.27/0.62 % NegExts : 0
% 0.27/0.62 % Equation resolutions : 0
% 0.27/0.62 % Disequality decompositions : 0
% 0.27/0.62 % Total rewrite steps : 643
% 0.27/0.62 % ...of those cached : 454
% 0.27/0.62 % Propositional unsat checks : 0
% 0.27/0.62 % Propositional check models : 0
% 0.27/0.62 % Propositional check unsatisfiable : 0
% 0.27/0.62 % Propositional clauses : 0
% 0.27/0.62 % Propositional clauses after purity: 0
% 0.27/0.62 % Propositional unsat core size : 0
% 0.27/0.62 % Propositional preprocessing time : 0.000
% 0.27/0.62 % Propositional encoding time : 0.000
% 0.27/0.62 % Propositional solver time : 0.000
% 0.27/0.62 % Success case prop preproc time : 0.000
% 0.27/0.62 % Success case prop encoding time : 0.000
% 0.27/0.62 % Success case prop solver time : 0.000
% 0.27/0.62 % Current number of processed clauses : 30
% 0.27/0.62 % Positive orientable unit clauses : 26
% 0.27/0.62 % Positive unorientable unit clauses: 4
% 0.27/0.62 % Negative unit clauses : 0
% 0.27/0.62 % Non-unit-clauses : 0
% 0.27/0.62 % Current number of unprocessed clauses: 232
% 0.27/0.62 % ...number of literals in the above : 232
% 0.27/0.62 % Current number of archived formulas : 0
% 0.27/0.62 % Current number of archived clauses : 7
% 0.27/0.62 % Clause-clause subsumption calls (NU) : 0
% 0.27/0.62 % Rec. Clause-clause subsumption calls : 0
% 0.27/0.62 % Non-unit clause-clause subsumptions : 0
% 0.27/0.62 % Unit Clause-clause subsumption calls : 6
% 0.27/0.62 % Rewrite failures with RHS unbound : 0
% 0.27/0.62 % BW rewrite match attempts : 49
% 0.27/0.62 % BW rewrite match successes : 40
% 0.27/0.62 % Condensation attempts : 0
% 0.27/0.62 % Condensation successes : 0
% 0.27/0.62 % Termbank termtop insertions : 3916
% 0.27/0.62 % Search garbage collected termcells : 6
% 0.27/0.62
% 0.27/0.62 % -------------------------------------------------
% 0.27/0.62 % User time : 0.012 s
% 0.27/0.62 % System time : 0.003 s
% 0.27/0.62 % Total time : 0.015 s
% 0.27/0.62 % Maximum resident set size: 3644 pages
% 0.27/0.62
% 0.27/0.62 % -------------------------------------------------
% 0.27/0.62 % User time : 0.015 s
% 0.27/0.62 % System time : 0.010 s
% 0.27/0.62 % Total time : 0.025 s
% 0.27/0.62 % Maximum resident set size: 4864 pages
% 0.27/0.62 % E exiting
%------------------------------------------------------------------------------