%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:39:53 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 5 RR)
% Number of literals : 32 ( 31 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 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 : 102 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,axiom,
divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)) = X4,
single_axiom ).
cnf(c_0_4,plain,
divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X5)),divide(X2,X1)) = inverse(divide(divide(divide(X4,X3),X6),divide(X5,X6))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
divide(divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X5)),divide(X2,X1)),divide(X3,X4)) = X5,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
divide(inverse(divide(divide(X1,X2),divide(X3,X2))),divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X6),divide(X1,X6))))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_7,plain,
inverse(divide(divide(divide(X1,X2),X3),divide(divide(X4,divide(X2,X1)),X3))) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_8,plain,
divide(divide(inverse(divide(divide(divide(X1,X2),X3),X4)),divide(X2,X1)),X3) = X4,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_9,plain,
divide(X1,divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),divide(divide(X5,X6),X4))))) = divide(X1,divide(X6,X5)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X5,X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_8]) ).
cnf(c_0_11,plain,
divide(inverse(divide(X1,divide(X2,X3))),divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X3),X1)))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_12,plain,
inverse(divide(divide(divide(X1,divide(X2,X3)),X4),divide(divide(X5,X6),X4))) = divide(divide(inverse(divide(X6,X5)),divide(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_13,plain,
divide(divide(divide(inverse(divide(X1,X2)),divide(X3,X4)),X5),divide(divide(X4,X3),X5)) = divide(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).
cnf(c_0_14,plain,
inverse(divide(X1,divide(divide(X2,divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),X1)))),X5))) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_15,plain,
divide(divide(divide(X1,X2),inverse(divide(X3,X4))),inverse(divide(X4,X3))) = divide(X1,X2),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_16,plain,
divide(inverse(divide(X1,X2)),divide(divide(X3,X4),inverse(divide(X2,X1)))) = divide(X4,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_10]) ).
cnf(c_0_17,plain,
divide(inverse(divide(divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X4,X3)))),X5),divide(X6,X5))),X4) = X6,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_18,plain,
inverse(divide(divide(divide(X1,X2),inverse(divide(X2,X1))),X3)) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,plain,
divide(divide(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_3]) ).
cnf(c_0_20,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
divide(X1,divide(divide(X2,X3),divide(X2,X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_20]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(fof_simplification,[status(thm)],[prove_these_axioms_1]) ).
cnf(c_0_23,plain,
divide(X1,divide(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_24,plain,
divide(X1,inverse(inverse(X2))) = divide(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
c_0_22 ).
cnf(c_0_26,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_27,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_28,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_24]),c_0_8]) ).
cnf(c_0_29,negated_conjecture,
divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).
cnf(c_0_30,plain,
divide(X1,X1) = divide(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_27]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_29,c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:18:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.47 % Version: 3.5.1
% 0.10/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.47 % Starting sh5l with 300s (1) cores
% 0.10/0.47 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 707726 completed with status 0
% 0.10/0.47 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.10/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FUUPF-FFSF21-MFFFFFNN
% 0.10/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.47 % new_bool_3 with pid 707736 completed with status 0
% 0.10/0.47 % Result found by new_bool_3
% 0.10/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FUUPF-FFSF21-MFFFFFNN
% 0.10/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.47 % Preprocessing time : 0.001 s
% 0.10/0.47 % Presaturation interreduction done
% 0.10/0.47
% 0.10/0.47 % Proof found!
% 0.10/0.47 % SZS status Unsatisfiable
% 0.10/0.47 % SZS output start CNFRefutation
% See solution above
% 0.10/0.47 % Parsed axioms : 3
% 0.10/0.47 % Removed by relevancy pruning/SinE : 0
% 0.10/0.47 % Initial clauses : 3
% 0.10/0.47 % Removed in clause preprocessing : 1
% 0.10/0.47 % Initial clauses in saturation : 2
% 0.10/0.47 % Processed clauses : 63
% 0.10/0.47 % ...of these trivial : 7
% 0.10/0.47 % ...subsumed : 16
% 0.10/0.47 % ...remaining for further processing : 40
% 0.10/0.47 % Other redundant clauses eliminated : 0
% 0.10/0.47 % Clauses deleted for lack of memory : 0
% 0.10/0.47 % Backward-subsumed : 1
% 0.10/0.47 % Backward-rewritten : 21
% 0.10/0.47 % Generated clauses : 2575
% 0.10/0.47 % ...of the previous two non-redundant : 2120
% 0.10/0.47 % ...aggressively subsumed : 0
% 0.10/0.47 % Contextual simplify-reflections : 0
% 0.10/0.47 % Paramodulations : 2574
% 0.10/0.47 % Factorizations : 0
% 0.10/0.47 % NegExts : 0
% 0.10/0.47 % Equation resolutions : 0
% 0.10/0.47 % Disequality decompositions : 0
% 0.10/0.47 % Total rewrite steps : 1157
% 0.10/0.47 % ...of those cached : 595
% 0.10/0.47 % Propositional unsat checks : 0
% 0.10/0.47 % Propositional check models : 0
% 0.10/0.47 % Propositional check unsatisfiable : 0
% 0.10/0.47 % Propositional clauses : 0
% 0.10/0.47 % Propositional clauses after purity: 0
% 0.10/0.47 % Propositional unsat core size : 0
% 0.10/0.47 % Propositional preprocessing time : 0.000
% 0.10/0.47 % Propositional encoding time : 0.000
% 0.10/0.47 % Propositional solver time : 0.000
% 0.10/0.47 % Success case prop preproc time : 0.000
% 0.10/0.47 % Success case prop encoding time : 0.000
% 0.10/0.47 % Success case prop solver time : 0.000
% 0.10/0.47 % Current number of processed clauses : 15
% 0.10/0.47 % Positive orientable unit clauses : 13
% 0.10/0.47 % Positive unorientable unit clauses: 2
% 0.10/0.47 % Negative unit clauses : 0
% 0.10/0.47 % Non-unit-clauses : 0
% 0.10/0.47 % Current number of unprocessed clauses: 2040
% 0.10/0.47 % ...number of literals in the above : 2040
% 0.10/0.47 % Current number of archived formulas : 0
% 0.10/0.47 % Current number of archived clauses : 26
% 0.10/0.47 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.47 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.47 % Non-unit clause-clause subsumptions : 0
% 0.10/0.47 % Unit Clause-clause subsumption calls : 33
% 0.10/0.47 % Rewrite failures with RHS unbound : 371
% 0.10/0.47 % BW rewrite match attempts : 224
% 0.10/0.47 % BW rewrite match successes : 57
% 0.10/0.47 % Condensation attempts : 0
% 0.10/0.47 % Condensation successes : 0
% 0.10/0.47 % Termbank termtop insertions : 43668
% 0.10/0.47 % Search garbage collected termcells : 2
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.039 s
% 0.10/0.47 % System time : 0.009 s
% 0.10/0.47 % Total time : 0.048 s
% 0.10/0.47 % Maximum resident set size: 3632 pages
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.179 s
% 0.10/0.47 % System time : 0.040 s
% 0.10/0.47 % Total time : 0.219 s
% 0.10/0.47 % Maximum resident set size: 4864 pages
% 0.10/0.47 % E exiting
%------------------------------------------------------------------------------