%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP477-1 : 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 : n013.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 12:43:53 PM UTC 2026
% Result : Unsatisfiable 0.92s 0.54s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 6 RR)
% Number of literals : 36 ( 35 equ; 5 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox2/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,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(fof_simplification,[status(thm)],[prove_these_axioms_3]) ).
cnf(c_0_22,plain,
inverse(divide(divide(X1,X2),divide(X3,X2))) = inverse(divide(divide(X1,X4),divide(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_3]) ).
cnf(c_0_23,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_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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
c_0_21 ).
cnf(c_0_26,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_27,plain,
divide(divide(X1,X2),divide(X3,X2)) = divide(divide(X1,X4),divide(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_22]),c_0_13]) ).
cnf(c_0_28,plain,
divide(X1,divide(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_29,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_30,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_31,plain,
divide(divide(X1,X2),divide(X3,X2)) = divide(X1,X3),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
divide(divide(X1,X2),inverse(X2)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
inference(rw,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_34,plain,
divide(divide(X1,inverse(X2)),X3) = divide(X1,divide(X3,X2)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP477-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:13:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.92/0.54 % Version: 3.5.1
% 0.92/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.92/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.92/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.92/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.92/0.54 % Starting sh5l with 300s (1) cores
% 0.92/0.54 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3317182 completed with status 0
% 0.92/0.54 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.92/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.92/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.92/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.92/0.54 % No SInE strategy applied
% 0.92/0.54 % Search class: FUUPF-FFSF21-MFFFFFNN
% 0.92/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.92/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.92/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.92/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.92/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.92/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.92/0.54 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3317190 completed with status 0
% 0.92/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.92/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.92/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.92/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.92/0.54 % No SInE strategy applied
% 0.92/0.54 % Search class: FUUPF-FFSF21-MFFFFFNN
% 0.92/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.92/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.92/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.92/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.92/0.54 % Preprocessing time : 0.002 s
% 0.92/0.54 % Presaturation interreduction done
% 0.92/0.54
% 0.92/0.54 % Proof found!
% 0.92/0.54 % SZS status Unsatisfiable
% 0.92/0.54 % SZS output start CNFRefutation
% See solution above
% 0.92/0.54 % Parsed axioms : 3
% 0.92/0.54 % Removed by relevancy pruning/SinE : 0
% 0.92/0.54 % Initial clauses : 3
% 0.92/0.54 % Removed in clause preprocessing : 1
% 0.92/0.54 % Initial clauses in saturation : 2
% 0.92/0.54 % Processed clauses : 86
% 0.92/0.54 % ...of these trivial : 9
% 0.92/0.54 % ...subsumed : 32
% 0.92/0.54 % ...remaining for further processing : 45
% 0.92/0.54 % Other redundant clauses eliminated : 0
% 0.92/0.54 % Clauses deleted for lack of memory : 0
% 0.92/0.54 % Backward-subsumed : 1
% 0.92/0.54 % Backward-rewritten : 26
% 0.92/0.54 % Generated clauses : 3068
% 0.92/0.54 % ...of the previous two non-redundant : 2539
% 0.92/0.54 % ...aggressively subsumed : 0
% 0.92/0.54 % Contextual simplify-reflections : 0
% 0.92/0.54 % Paramodulations : 3068
% 0.92/0.54 % Factorizations : 0
% 0.92/0.54 % NegExts : 0
% 0.92/0.54 % Equation resolutions : 0
% 0.92/0.54 % Disequality decompositions : 0
% 0.92/0.54 % Total rewrite steps : 1894
% 0.92/0.54 % ...of those cached : 1041
% 0.92/0.54 % Propositional unsat checks : 0
% 0.92/0.54 % Propositional check models : 0
% 0.92/0.54 % Propositional check unsatisfiable : 0
% 0.92/0.54 % Propositional clauses : 0
% 0.92/0.54 % Propositional clauses after purity: 0
% 0.92/0.54 % Propositional unsat core size : 0
% 0.92/0.54 % Propositional preprocessing time : 0.000
% 0.92/0.54 % Propositional encoding time : 0.000
% 0.92/0.54 % Propositional solver time : 0.000
% 0.92/0.54 % Success case prop preproc time : 0.000
% 0.92/0.54 % Success case prop encoding time : 0.000
% 0.92/0.54 % Success case prop solver time : 0.000
% 0.92/0.54 % Current number of processed clauses : 16
% 0.92/0.54 % Positive orientable unit clauses : 15
% 0.92/0.54 % Positive unorientable unit clauses: 1
% 0.92/0.54 % Negative unit clauses : 0
% 0.92/0.54 % Non-unit-clauses : 0
% 0.92/0.54 % Current number of unprocessed clauses: 2413
% 0.92/0.54 % ...number of literals in the above : 2413
% 0.92/0.54 % Current number of archived formulas : 0
% 0.92/0.54 % Current number of archived clauses : 30
% 0.92/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.92/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.92/0.54 % Non-unit clause-clause subsumptions : 0
% 0.92/0.54 % Unit Clause-clause subsumption calls : 33
% 0.92/0.54 % Rewrite failures with RHS unbound : 383
% 0.92/0.54 % BW rewrite match attempts : 248
% 0.92/0.54 % BW rewrite match successes : 59
% 0.92/0.54 % Condensation attempts : 0
% 0.92/0.54 % Condensation successes : 0
% 0.92/0.54 % Termbank termtop insertions : 52924
% 0.92/0.54 % Search garbage collected termcells : 2
% 0.92/0.54
% 0.92/0.54 % -------------------------------------------------
% 0.92/0.54 % User time : 0.088 s
% 0.92/0.54 % System time : 0.008 s
% 0.92/0.54 % Total time : 0.096 s
% 0.92/0.54 % Maximum resident set size: 3572 pages
% 0.92/0.54
% 0.92/0.54 % -------------------------------------------------
% 0.92/0.54 % User time : 0.393 s
% 0.92/0.54 % System time : 0.039 s
% 0.92/0.54 % Total time : 0.433 s
% 0.92/0.54 % Maximum resident set size: 4864 pages
% 0.92/0.54 % E exiting
%------------------------------------------------------------------------------