%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP510-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:40:08 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 20 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X3))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(multiply(X1,X2),inverse(multiply(multiply(multiply(X3,X1),X4),X2))) = inverse(multiply(X3,X4)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_5,plain,
inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X1,X2),X3))))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
multiply(multiply(X1,inverse(multiply(X2,X3))),inverse(X1)) = inverse(multiply(X2,X3)),
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_7,plain,
inverse(multiply(multiply(X1,X2),inverse(multiply(X1,multiply(X2,X3))))) = X3,
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_8,plain,
multiply(multiply(X1,X2),inverse(X1)) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(spm,[status(thm)],[c_0_8,c_0_8]) ).
cnf(c_0_10,plain,
inverse(inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_11,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_12,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_8]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).
cnf(c_0_14,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(fof_simplification,[status(thm)],[prove_these_axioms_2]) ).
cnf(c_0_15,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_13]),c_0_13]) ).
cnf(c_0_16,plain,
multiply(multiply(multiply(multiply(multiply(X1,X2),X3),X4),inverse(multiply(X1,X3))),inverse(X2)) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_17,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
c_0_14 ).
cnf(c_0_18,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_8]),c_0_10]) ).
cnf(c_0_19,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_8]),c_0_10]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP510-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 20 20:18:37 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 0.20/0.47 % Version: 3.5.1
% 0.20/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.47 % Starting sh5l with 300s (1) cores
% 0.20/0.47 % sh5l with pid 3843031 completed with status 0
% 0.20/0.47 % Result found by sh5l
% 0.20/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.47 % Starting sh5l with 300s (1) cores
% 0.20/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.20/0.47 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.47 % Search class: FUUPF-FFSF21-MFFFFFNN
% 0.20/0.47 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.47 % Starting SubtermCWHack with 31s (1) cores
% 0.20/0.47 % SubtermCWHack with pid 3843033 completed with status 0
% 0.20/0.47 % Result found by SubtermCWHack
% 0.20/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.47 % Starting sh5l with 300s (1) cores
% 0.20/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.20/0.47 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.47 % Search class: FUUPF-FFSF21-MFFFFFNN
% 0.20/0.47 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.47 % Starting SubtermCWHack with 31s (1) cores
% 0.20/0.47 % Preprocessing time : 0.001 s
% 0.20/0.47
% 0.20/0.47 % Proof found!
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47 % SZS output start CNFRefutation
% See solution above
% 0.20/0.47 % Parsed axioms : 2
% 0.20/0.47 % Removed by relevancy pruning/SinE : 0
% 0.20/0.47 % Initial clauses : 2
% 0.20/0.47 % Removed in clause preprocessing : 0
% 0.20/0.47 % Initial clauses in saturation : 2
% 0.20/0.47 % Processed clauses : 19
% 0.20/0.47 % ...of these trivial : 2
% 0.20/0.47 % ...subsumed : 0
% 0.20/0.47 % ...remaining for further processing : 17
% 0.20/0.47 % Other redundant clauses eliminated : 0
% 0.20/0.47 % Clauses deleted for lack of memory : 0
% 0.20/0.47 % Backward-subsumed : 0
% 0.20/0.47 % Backward-rewritten : 4
% 0.20/0.47 % Generated clauses : 370
% 0.20/0.47 % ...of the previous two non-redundant : 293
% 0.20/0.47 % ...aggressively subsumed : 0
% 0.20/0.47 % Contextual simplify-reflections : 0
% 0.20/0.47 % Paramodulations : 370
% 0.20/0.47 % Factorizations : 0
% 0.20/0.47 % NegExts : 0
% 0.20/0.47 % Equation resolutions : 0
% 0.20/0.47 % Disequality decompositions : 0
% 0.20/0.47 % Total rewrite steps : 107
% 0.20/0.47 % ...of those cached : 45
% 0.20/0.47 % Propositional unsat checks : 0
% 0.20/0.47 % Propositional check models : 0
% 0.20/0.47 % Propositional check unsatisfiable : 0
% 0.20/0.47 % Propositional clauses : 0
% 0.20/0.47 % Propositional clauses after purity: 0
% 0.20/0.47 % Propositional unsat core size : 0
% 0.20/0.47 % Propositional preprocessing time : 0.000
% 0.20/0.47 % Propositional encoding time : 0.000
% 0.20/0.47 % Propositional solver time : 0.000
% 0.20/0.47 % Success case prop preproc time : 0.000
% 0.20/0.47 % Success case prop encoding time : 0.000
% 0.20/0.47 % Success case prop solver time : 0.000
% 0.20/0.47 % Current number of processed clauses : 13
% 0.20/0.47 % Positive orientable unit clauses : 12
% 0.20/0.47 % Positive unorientable unit clauses: 1
% 0.20/0.47 % Negative unit clauses : 0
% 0.20/0.47 % Non-unit-clauses : 0
% 0.20/0.47 % Current number of unprocessed clauses: 273
% 0.20/0.47 % ...number of literals in the above : 273
% 0.20/0.47 % Current number of archived formulas : 0
% 0.20/0.47 % Current number of archived clauses : 4
% 0.20/0.47 % Clause-clause subsumption calls (NU) : 0
% 0.20/0.47 % Rec. Clause-clause subsumption calls : 0
% 0.20/0.47 % Non-unit clause-clause subsumptions : 0
% 0.20/0.47 % Unit Clause-clause subsumption calls : 11
% 0.20/0.47 % Rewrite failures with RHS unbound : 0
% 0.20/0.47 % BW rewrite match attempts : 70
% 0.20/0.47 % BW rewrite match successes : 45
% 0.20/0.47 % Condensation attempts : 0
% 0.20/0.47 % Condensation successes : 0
% 0.20/0.47 % Termbank termtop insertions : 3111
% 0.20/0.47 % Search garbage collected termcells : 2
% 0.20/0.47
% 0.20/0.47 % -------------------------------------------------
% 0.20/0.47 % User time : 0.005 s
% 0.20/0.47 % System time : 0.002 s
% 0.20/0.47 % Total time : 0.007 s
% 0.20/0.47 % Maximum resident set size: 3628 pages
% 0.20/0.47
% 0.20/0.47 % -------------------------------------------------
% 0.20/0.47 % User time : 0.008 s
% 0.20/0.47 % System time : 0.005 s
% 0.20/0.47 % Total time : 0.013 s
% 0.20/0.47 % Maximum resident set size: 4864 pages
% 0.20/0.47 % E exiting
%------------------------------------------------------------------------------