%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP502-1 : 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 12:43:57 PM UTC 2026
% Result : Unsatisfiable 2.02s 0.86s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 23 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X1,inverse(double_divide(X2,X3))),double_divide(inverse(X2),inverse(double_divide(X4,double_divide(X1,X4))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,axiom,
double_divide(double_divide(X1,inverse(double_divide(X2,X3))),double_divide(inverse(X2),inverse(double_divide(X4,double_divide(X1,X4))))) = X3,
single_axiom ).
cnf(c_0_4,plain,
double_divide(double_divide(X1,inverse(X2)),double_divide(inverse(double_divide(X3,inverse(double_divide(X4,X2)))),inverse(double_divide(X5,double_divide(X1,X5))))) = double_divide(inverse(X4),inverse(double_divide(X6,double_divide(X3,X6)))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(inverse(X1),inverse(double_divide(X4,double_divide(X3,X4)))),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_6,plain,
inverse(double_divide(X1,double_divide(X2,X1))) = inverse(double_divide(X3,double_divide(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_3]) ).
cnf(c_0_7,plain,
double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X3,X2)))),double_divide(inverse(X4),inverse(double_divide(X5,double_divide(X1,X5))))) = double_divide(X3,X4),
inference(spm,[status(thm)],[c_0_3,c_0_6]) ).
cnf(c_0_8,plain,
double_divide(X1,double_divide(X2,inverse(double_divide(X3,double_divide(X4,double_divide(X1,X4)))))) = double_divide(inverse(X3),inverse(double_divide(X5,double_divide(X2,X5)))),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_9,plain,
double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,X3))),X1)),inverse(double_divide(X4,double_divide(inverse(X2),X4)))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_10,plain,
double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X3))),X2),X4))),X3) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
cnf(c_0_11,plain,
double_divide(inverse(X1),inverse(double_divide(X2,double_divide(inverse(double_divide(double_divide(X3,inverse(double_divide(X4,inverse(X4)))),X3)),X2)))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
double_divide(double_divide(X1,inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2),X4))),X1) = X4,
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_13,plain,
double_divide(double_divide(X1,inverse(double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2)),X4))),X1) = X4,
inference(spm,[status(thm)],[c_0_12,c_0_12]) ).
cnf(c_0_14,plain,
double_divide(double_divide(X1,inverse(inverse(X2))),X1) = inverse(double_divide(X3,double_divide(inverse(X2),X3))),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_15,plain,
double_divide(double_divide(X1,inverse(inverse(X2))),X1) = double_divide(double_divide(X3,inverse(inverse(X2))),X3),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(fof_simplification,[status(thm)],[prove_these_axioms_1]) ).
cnf(c_0_17,plain,
double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(X2,inverse(inverse(X3))),X2))),X4) = double_divide(inverse(inverse(X3)),inverse(double_divide(X1,X4))),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
c_0_16 ).
cnf(c_0_19,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_20,plain,
double_divide(inverse(inverse(X1)),inverse(double_divide(X2,inverse(X2)))) = double_divide(inverse(inverse(X1)),inverse(double_divide(X3,inverse(X3)))),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
inverse(double_divide(b1,inverse(b1))) != inverse(double_divide(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]) ).
cnf(c_0_22,plain,
inverse(double_divide(X1,inverse(X1))) = inverse(double_divide(X2,inverse(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_20]),c_0_3]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP502-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 20:18:22 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.29/0.53 Running first-order theorem proving
% 0.29/0.53 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
% 2.02/0.86 % Version: 3.5.1
% 2.02/0.86 % Preprocessing class: FSSSSMSSSSSNFFN.
% 2.02/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.86 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 2.02/0.86 % Starting new_bool_3 with 300s (1) cores
% 2.02/0.86 % Starting new_bool_1 with 300s (1) cores
% 2.02/0.86 % Starting sh5l with 300s (1) cores
% 2.02/0.86 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3842161 completed with status 0
% 2.02/0.86 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 2.02/0.86 % Preprocessing class: FSSSSMSSSSSNFFN.
% 2.02/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.86 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 2.02/0.86 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.02/0.86 % No SInE strategy applied
% 2.02/0.86 % Search class: FUUPF-FFSF21-MFFFFFNN
% 2.02/0.86 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.02/0.86 % Starting SubtermCWHack with 136s (1) cores
% 2.02/0.86 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 2.02/0.86 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.02/0.86 % Starting new_bool_3 with 136s (1) cores
% 2.02/0.86 % Starting new_bool_1 with 136s (1) cores
% 2.02/0.86 % new_bool_3 with pid 3842171 completed with status 0
% 2.02/0.86 % Result found by new_bool_3
% 2.02/0.86 % Preprocessing class: FSSSSMSSSSSNFFN.
% 2.02/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.86 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 2.02/0.86 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.02/0.86 % No SInE strategy applied
% 2.02/0.86 % Search class: FUUPF-FFSF21-MFFFFFNN
% 2.02/0.86 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.02/0.86 % Starting SubtermCWHack with 136s (1) cores
% 2.02/0.86 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 2.02/0.86 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.02/0.86 % Starting new_bool_3 with 136s (1) cores
% 2.02/0.86 % Preprocessing time : 0.002 s
% 2.02/0.86 % Presaturation interreduction done
% 2.02/0.86
% 2.02/0.86 % Proof found!
% 2.02/0.86 % SZS status Unsatisfiable
% 2.02/0.86 % SZS output start CNFRefutation
% See solution above
% 2.02/0.86 % Parsed axioms : 3
% 2.02/0.86 % Removed by relevancy pruning/SinE : 0
% 2.02/0.86 % Initial clauses : 3
% 2.02/0.86 % Removed in clause preprocessing : 1
% 2.02/0.86 % Initial clauses in saturation : 2
% 2.02/0.86 % Processed clauses : 181
% 2.02/0.86 % ...of these trivial : 6
% 2.02/0.86 % ...subsumed : 125
% 2.02/0.86 % ...remaining for further processing : 50
% 2.02/0.86 % Other redundant clauses eliminated : 0
% 2.02/0.86 % Clauses deleted for lack of memory : 0
% 2.02/0.86 % Backward-subsumed : 4
% 2.02/0.86 % Backward-rewritten : 0
% 2.02/0.86 % Generated clauses : 9986
% 2.02/0.86 % ...of the previous two non-redundant : 9451
% 2.02/0.86 % ...aggressively subsumed : 0
% 2.02/0.86 % Contextual simplify-reflections : 0
% 2.02/0.86 % Paramodulations : 9985
% 2.02/0.86 % Factorizations : 0
% 2.02/0.86 % NegExts : 0
% 2.02/0.86 % Equation resolutions : 0
% 2.02/0.86 % Disequality decompositions : 0
% 2.02/0.86 % Total rewrite steps : 554
% 2.02/0.86 % ...of those cached : 224
% 2.02/0.86 % Propositional unsat checks : 0
% 2.02/0.86 % Propositional check models : 0
% 2.02/0.86 % Propositional check unsatisfiable : 0
% 2.02/0.86 % Propositional clauses : 0
% 2.02/0.86 % Propositional clauses after purity: 0
% 2.02/0.86 % Propositional unsat core size : 0
% 2.02/0.86 % Propositional preprocessing time : 0.000
% 2.02/0.86 % Propositional encoding time : 0.000
% 2.02/0.86 % Propositional solver time : 0.000
% 2.02/0.86 % Success case prop preproc time : 0.000
% 2.02/0.86 % Success case prop encoding time : 0.000
% 2.02/0.86 % Success case prop solver time : 0.000
% 2.02/0.86 % Current number of processed clauses : 43
% 2.02/0.86 % Positive orientable unit clauses : 26
% 2.02/0.86 % Positive unorientable unit clauses: 17
% 2.02/0.86 % Negative unit clauses : 0
% 2.02/0.86 % Non-unit-clauses : 0
% 2.02/0.86 % Current number of unprocessed clauses: 9242
% 2.02/0.86 % ...number of literals in the above : 9242
% 2.02/0.86 % Current number of archived formulas : 0
% 2.02/0.86 % Current number of archived clauses : 8
% 2.02/0.86 % Clause-clause subsumption calls (NU) : 0
% 2.02/0.86 % Rec. Clause-clause subsumption calls : 0
% 2.02/0.86 % Non-unit clause-clause subsumptions : 0
% 2.02/0.86 % Unit Clause-clause subsumption calls : 191
% 2.02/0.86 % Rewrite failures with RHS unbound : 995
% 2.02/0.86 % BW rewrite match attempts : 630
% 2.02/0.86 % BW rewrite match successes : 81
% 2.02/0.86 % Condensation attempts : 0
% 2.02/0.86 % Condensation successes : 0
% 2.02/0.86 % Termbank termtop insertions : 306977
% 2.02/0.86 % Search garbage collected termcells : 2
% 2.02/0.86
% 2.02/0.86 % -------------------------------------------------
% 2.02/0.86 % User time : 0.220 s
% 2.02/0.86 % System time : 0.020 s
% 2.02/0.86 % Total time : 0.241 s
% 2.02/0.86 % Maximum resident set size: 3376 pages
% 2.02/0.86
% 2.02/0.86 % -------------------------------------------------
% 2.02/0.86 % User time : 1.153 s
% 2.02/0.86 % System time : 0.099 s
% 2.02/0.86 % Total time : 1.252 s
% 2.02/0.86 % Maximum resident set size: 4608 pages
% 2.02/0.86 % E exiting
%------------------------------------------------------------------------------