%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:38:58 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.55s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 11 equ; 4 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; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_moufang1,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang1) ).
cnf(moufang4,axiom,
multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang4) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(right_identity,axiom,
multiply(X1,identity) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(c_0_4,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
inference(fof_simplification,[status(thm)],[prove_moufang1]) ).
cnf(c_0_5,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
c_0_4 ).
cnf(c_0_6,axiom,
multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)),
moufang4 ).
cnf(c_0_7,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_8,axiom,
multiply(X1,identity) = X1,
right_identity ).
cnf(c_0_9,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(a,multiply(multiply(b,c),a)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n026.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 20 20:08:52 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 0.23/0.55 % Version: 3.5.1
% 0.23/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.55 % Starting sh5l with 300s (1) cores
% 0.23/0.55 % sh5l with pid 486131 completed with status 0
% 0.23/0.55 % Result found by sh5l
% 0.23/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.55 % Starting sh5l with 300s (1) cores
% 0.23/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.55 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.23/0.55 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.55 % SubtermCWHack with pid 486138 completed with status 0
% 0.23/0.55 % Result found by SubtermCWHack
% 0.23/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.55 % Starting sh5l with 300s (1) cores
% 0.23/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.55 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.23/0.55 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.55 % Preprocessing time : 0.001 s
% 0.23/0.55
% 0.23/0.55 % Proof found!
% 0.23/0.55 % SZS status Unsatisfiable
% 0.23/0.55 % SZS output start CNFRefutation
% See solution above
% 0.23/0.55 % Parsed axioms : 10
% 0.23/0.55 % Removed by relevancy pruning/SinE : 0
% 0.23/0.55 % Initial clauses : 10
% 0.23/0.55 % Removed in clause preprocessing : 0
% 0.23/0.55 % Initial clauses in saturation : 10
% 0.23/0.55 % Processed clauses : 23
% 0.23/0.55 % ...of these trivial : 1
% 0.23/0.55 % ...subsumed : 0
% 0.23/0.55 % ...remaining for further processing : 22
% 0.23/0.55 % Other redundant clauses eliminated : 0
% 0.23/0.55 % Clauses deleted for lack of memory : 0
% 0.23/0.55 % Backward-subsumed : 0
% 0.23/0.55 % Backward-rewritten : 6
% 0.23/0.55 % Generated clauses : 54
% 0.23/0.55 % ...of the previous two non-redundant : 21
% 0.23/0.55 % ...aggressively subsumed : 0
% 0.23/0.55 % Contextual simplify-reflections : 0
% 0.23/0.55 % Paramodulations : 54
% 0.23/0.55 % Factorizations : 0
% 0.23/0.55 % NegExts : 0
% 0.23/0.55 % Equation resolutions : 0
% 0.23/0.55 % Disequality decompositions : 0
% 0.23/0.55 % Total rewrite steps : 40
% 0.23/0.55 % ...of those cached : 13
% 0.23/0.55 % Propositional unsat checks : 0
% 0.23/0.55 % Propositional check models : 0
% 0.23/0.55 % Propositional check unsatisfiable : 0
% 0.23/0.55 % Propositional clauses : 0
% 0.23/0.55 % Propositional clauses after purity: 0
% 0.23/0.55 % Propositional unsat core size : 0
% 0.23/0.55 % Propositional preprocessing time : 0.000
% 0.23/0.55 % Propositional encoding time : 0.000
% 0.23/0.55 % Propositional solver time : 0.000
% 0.23/0.55 % Success case prop preproc time : 0.000
% 0.23/0.55 % Success case prop encoding time : 0.000
% 0.23/0.55 % Success case prop solver time : 0.000
% 0.23/0.55 % Current number of processed clauses : 16
% 0.23/0.55 % Positive orientable unit clauses : 16
% 0.23/0.55 % Positive unorientable unit clauses: 0
% 0.23/0.55 % Negative unit clauses : 0
% 0.23/0.55 % Non-unit-clauses : 0
% 0.23/0.55 % Current number of unprocessed clauses: 8
% 0.23/0.55 % ...number of literals in the above : 8
% 0.23/0.55 % Current number of archived formulas : 0
% 0.23/0.55 % Current number of archived clauses : 6
% 0.23/0.55 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.55 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.55 % Non-unit clause-clause subsumptions : 0
% 0.23/0.55 % Unit Clause-clause subsumption calls : 0
% 0.23/0.55 % Rewrite failures with RHS unbound : 0
% 0.23/0.55 % BW rewrite match attempts : 14
% 0.23/0.55 % BW rewrite match successes : 5
% 0.23/0.55 % Condensation attempts : 0
% 0.23/0.55 % Condensation successes : 0
% 0.23/0.55 % Termbank termtop insertions : 492
% 0.23/0.55 % Search garbage collected termcells : 2
% 0.23/0.55
% 0.23/0.55 % -------------------------------------------------
% 0.23/0.55 % User time : 0.002 s
% 0.23/0.55 % System time : 0.002 s
% 0.23/0.55 % Total time : 0.004 s
% 0.23/0.55 % Maximum resident set size: 3632 pages
% 0.23/0.55
% 0.23/0.55 % -------------------------------------------------
% 0.23/0.55 % User time : 0.003 s
% 0.23/0.55 % System time : 0.006 s
% 0.23/0.55 % Total time : 0.009 s
% 0.23/0.55 % Maximum resident set size: 4864 pages
% 0.23/0.55 % E exiting
%------------------------------------------------------------------------------