%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP483-1 : 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 : n003.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 12:39:55 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.84s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 5 RR)
% Number of literals : 58 ( 57 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(single_axiom,axiom,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,double_divide(X4,double_divide(X4,identity))),double_divide(X1,identity))),X2) = X3,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_0_3,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
multiply ).
cnf(c_0_4,axiom,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,double_divide(X4,double_divide(X4,identity))),double_divide(X1,identity))),X2) = X3,
single_axiom ).
cnf(c_0_5,plain,
multiply(double_divide(double_divide(X1,double_divide(X2,double_divide(X2,identity))),double_divide(X3,identity)),double_divide(X3,double_divide(identity,identity))) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
multiply(double_divide(double_divide(X1,double_divide(X2,double_divide(X2,identity))),multiply(X3,X4)),double_divide(double_divide(X4,X3),double_divide(identity,identity))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_3]) ).
cnf(c_0_7,plain,
double_divide(double_divide(X1,double_divide(X2,double_divide(X2,identity))),multiply(identity,X3)) = multiply(X1,double_divide(X3,double_divide(identity,identity))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_3]) ).
cnf(c_0_8,plain,
multiply(multiply(X1,double_divide(X2,double_divide(identity,identity))),double_divide(double_divide(X2,identity),double_divide(identity,identity))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
multiply(identity,double_divide(X1,X2)) = double_divide(multiply(X2,X1),identity),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_10,plain,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),X3),X2) = multiply(X3,double_divide(X1,double_divide(identity,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_3]),c_0_7]) ).
cnf(c_0_11,plain,
multiply(double_divide(double_divide(X1,double_divide(double_divide(X2,X3),multiply(X3,X2))),double_divide(X4,identity)),double_divide(X4,double_divide(identity,identity))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_3]) ).
cnf(c_0_12,plain,
multiply(double_divide(multiply(double_divide(identity,identity),X1),identity),double_divide(double_divide(X1,identity),double_divide(identity,identity))) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
double_divide(multiply(double_divide(X1,identity),X2),X1) = double_divide(multiply(double_divide(identity,identity),X2),identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_3]),c_0_9]) ).
cnf(c_0_14,plain,
multiply(double_divide(double_divide(X1,identity),double_divide(X2,identity)),double_divide(X2,double_divide(identity,identity))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_3]),c_0_12]) ).
cnf(c_0_15,plain,
double_divide(multiply(double_divide(X1,identity),X2),X1) = double_divide(multiply(double_divide(X3,identity),X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
cnf(c_0_16,plain,
multiply(X1,double_divide(double_divide(X2,identity),double_divide(identity,identity))) = double_divide(double_divide(X1,identity),double_divide(X2,identity)),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,plain,
double_divide(multiply(double_divide(X1,identity),X2),X1) = double_divide(multiply(multiply(X3,X4),X2),double_divide(X4,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_3]) ).
cnf(c_0_18,plain,
double_divide(multiply(multiply(identity,X1),double_divide(X2,identity)),double_divide(X1,identity)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_16]),c_0_3]),c_0_3]) ).
cnf(c_0_19,plain,
multiply(double_divide(multiply(double_divide(X1,identity),X2),X1),double_divide(double_divide(X2,identity),double_divide(identity,identity))) = identity,
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_20,plain,
double_divide(multiply(double_divide(X1,identity),double_divide(X2,identity)),X1) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
double_divide(multiply(X1,multiply(double_divide(X1,identity),X2)),double_divide(X2,identity)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_16]),c_0_3]) ).
cnf(c_0_22,plain,
multiply(X1,multiply(double_divide(X1,identity),double_divide(X2,identity))) = double_divide(X2,identity),
inference(spm,[status(thm)],[c_0_3,c_0_20]) ).
cnf(c_0_23,plain,
multiply(X1,double_divide(multiply(identity,X2),double_divide(identity,identity))) = multiply(X1,double_divide(X2,double_divide(identity,identity))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_8]),c_0_3]) ).
cnf(c_0_24,plain,
double_divide(double_divide(X1,identity),multiply(identity,X1)) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_3]) ).
cnf(c_0_25,plain,
double_divide(multiply(double_divide(identity,identity),multiply(identity,X1)),identity) = double_divide(multiply(double_divide(identity,identity),X1),identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_23]),c_0_9]) ).
cnf(c_0_26,plain,
multiply(X1,double_divide(X2,double_divide(identity,identity))) = double_divide(double_divide(X1,identity),X2),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_27,plain,
double_divide(X1,double_divide(X1,identity)) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_20]) ).
cnf(c_0_28,plain,
multiply(X1,multiply(double_divide(X1,identity),X2)) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_29,plain,
multiply(double_divide(identity,identity),multiply(identity,X1)) = multiply(double_divide(identity,identity),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_25]),c_0_14]) ).
cnf(c_0_30,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_3]) ).
cnf(c_0_31,plain,
multiply(identity,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_28]) ).
cnf(c_0_32,plain,
multiply(X1,multiply(double_divide(X1,identity),X2)) = multiply(identity,multiply(double_divide(identity,identity),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_13]),c_0_3]) ).
cnf(c_0_33,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
multiply(X1,multiply(double_divide(X1,identity),X2)) = multiply(X3,multiply(double_divide(X3,identity),X2)),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_35,plain,
double_divide(double_divide(X1,identity),X1) = identity,
inference(rw,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_36,plain,
multiply(X1,double_divide(X1,identity)) = identity,
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_37,plain,
multiply(X1,multiply(double_divide(X1,identity),X2)) = multiply(double_divide(X3,X4),multiply(multiply(X4,X3),X2)),
inference(spm,[status(thm)],[c_0_34,c_0_3]) ).
cnf(c_0_38,plain,
double_divide(identity,identity) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_35]),c_0_31]),c_0_33]),c_0_27]) ).
cnf(c_0_39,plain,
double_divide(identity,X1) = double_divide(X1,identity),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_40,plain,
multiply(double_divide(X1,X2),multiply(multiply(X2,X1),X3)) = X3,
inference(rw,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_41,plain,
double_divide(multiply(double_divide(X1,identity),X2),X1) = double_divide(X2,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_38]),c_0_33]),c_0_31]) ).
cnf(c_0_42,plain,
double_divide(identity,multiply(X1,X2)) = double_divide(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_31]),c_0_39]) ).
cnf(c_0_43,plain,
multiply(double_divide(X1,identity),multiply(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_44,plain,
double_divide(identity,double_divide(X1,X2)) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_36]),c_0_20]) ).
cnf(c_0_45,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_26]),c_0_3]),c_0_31]),c_0_3]),c_0_38]),c_0_31]) ).
cnf(c_0_46,plain,
double_divide(multiply(X1,X2),double_divide(X1,identity)) = double_divide(identity,X2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
multiply(X1,double_divide(X1,X2)) = double_divide(identity,X2),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),X3),X2) = double_divide(double_divide(X3,identity),X1),
inference(rw,[status(thm)],[c_0_10,c_0_26]) ).
cnf(c_0_49,plain,
double_divide(double_divide(identity,X1),double_divide(X2,identity)) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44]) ).
cnf(c_0_50,plain,
double_divide(double_divide(X1,identity),double_divide(identity,X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_45]),c_0_38]) ).
cnf(c_0_51,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_45,c_0_45]) ).
cnf(c_0_52,plain,
double_divide(double_divide(multiply(X1,X2),X3),X2) = multiply(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(fof_simplification,[status(thm)],[prove_these_axioms_3]) ).
cnf(c_0_54,plain,
double_divide(multiply(X1,X2),X3) = double_divide(X2,multiply(X3,X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
c_0_53 ).
cnf(c_0_56,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_44]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP483-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.69 % Computer : n003.cluster.edu
% 0.20/0.69 % Model : x86_64 x86_64
% 0.20/0.69 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.69 % Memory : 8046.5625MB
% 0.20/0.69 % OS : Linux 6.8.0-71-generic
% 0.20/0.70 % CPULimit : 300
% 0.20/0.70 % WCLimit : 300
% 0.20/0.70 % DateTime : Sun Sep 20 20:16:15 UTC 2026
% 0.20/0.70 % CPUTime :
% 0.24/0.70 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.75 Running first-order theorem proving
% 0.24/0.75 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
% 0.24/0.84 % Version: 3.5.1
% 0.24/0.84 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.24/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.24/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.84 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.84 % Starting sh5l with 300s (1) cores
% 0.24/0.84 % new_bool_3 with pid 2487026 completed with status 0
% 0.24/0.84 % Result found by new_bool_3
% 0.24/0.84 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.24/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.24/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.84 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.84 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.84 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.24/0.84 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.84 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.84 % SubtermCWHack with pid 2487029 completed with status 0
% 0.24/0.84 % Result found by SubtermCWHack
% 0.24/0.84 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.24/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.24/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.84 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.84 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.84 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.24/0.84 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.84 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.84 % Preprocessing time : 0.001 s
% 0.24/0.84
% 0.24/0.84 % Proof found!
% 0.24/0.84 % SZS status Unsatisfiable
% 0.24/0.84 % SZS output start CNFRefutation
% See solution above
% 0.24/0.84 % Parsed axioms : 5
% 0.24/0.84 % Removed by relevancy pruning/SinE : 2
% 0.24/0.84 % Initial clauses : 3
% 0.24/0.84 % Removed in clause preprocessing : 0
% 0.24/0.84 % Initial clauses in saturation : 3
% 0.24/0.84 % Processed clauses : 394
% 0.24/0.84 % ...of these trivial : 95
% 0.24/0.84 % ...subsumed : 183
% 0.24/0.84 % ...remaining for further processing : 116
% 0.24/0.84 % Other redundant clauses eliminated : 0
% 0.24/0.84 % Clauses deleted for lack of memory : 0
% 0.24/0.84 % Backward-subsumed : 2
% 0.24/0.84 % Backward-rewritten : 77
% 0.24/0.84 % Generated clauses : 4167
% 0.24/0.84 % ...of the previous two non-redundant : 2536
% 0.24/0.84 % ...aggressively subsumed : 0
% 0.24/0.84 % Contextual simplify-reflections : 0
% 0.24/0.84 % Paramodulations : 4167
% 0.24/0.84 % Factorizations : 0
% 0.24/0.84 % NegExts : 0
% 0.24/0.84 % Equation resolutions : 0
% 0.24/0.84 % Disequality decompositions : 0
% 0.24/0.84 % Total rewrite steps : 6988
% 0.24/0.84 % ...of those cached : 6189
% 0.24/0.84 % Propositional unsat checks : 0
% 0.24/0.84 % Propositional check models : 0
% 0.24/0.84 % Propositional check unsatisfiable : 0
% 0.24/0.84 % Propositional clauses : 0
% 0.24/0.84 % Propositional clauses after purity: 0
% 0.24/0.84 % Propositional unsat core size : 0
% 0.24/0.84 % Propositional preprocessing time : 0.000
% 0.24/0.84 % Propositional encoding time : 0.000
% 0.24/0.84 % Propositional solver time : 0.000
% 0.24/0.84 % Success case prop preproc time : 0.000
% 0.24/0.84 % Success case prop encoding time : 0.000
% 0.24/0.84 % Success case prop solver time : 0.000
% 0.24/0.84 % Current number of processed clauses : 37
% 0.24/0.84 % Positive orientable unit clauses : 36
% 0.24/0.84 % Positive unorientable unit clauses: 1
% 0.24/0.84 % Negative unit clauses : 0
% 0.24/0.84 % Non-unit-clauses : 0
% 0.24/0.84 % Current number of unprocessed clauses: 923
% 0.24/0.84 % ...number of literals in the above : 923
% 0.24/0.84 % Current number of archived formulas : 0
% 0.24/0.84 % Current number of archived clauses : 79
% 0.24/0.84 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.84 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.84 % Non-unit clause-clause subsumptions : 0
% 0.24/0.84 % Unit Clause-clause subsumption calls : 28
% 0.24/0.84 % Rewrite failures with RHS unbound : 248
% 0.24/0.84 % BW rewrite match attempts : 174
% 0.24/0.84 % BW rewrite match successes : 103
% 0.24/0.84 % Condensation attempts : 0
% 0.24/0.84 % Condensation successes : 0
% 0.24/0.84 % Termbank termtop insertions : 47836
% 0.24/0.84 % Search garbage collected termcells : 6
% 0.24/0.84
% 0.24/0.84 % -------------------------------------------------
% 0.24/0.84 % User time : 0.059 s
% 0.24/0.84 % System time : 0.004 s
% 0.24/0.84 % Total time : 0.063 s
% 0.24/0.84 % Maximum resident set size: 3600 pages
% 0.24/0.84
% 0.24/0.84 % -------------------------------------------------
% 0.24/0.84 % User time : 0.060 s
% 0.24/0.84 % System time : 0.008 s
% 0.24/0.84 % Total time : 0.068 s
% 0.24/0.84 % Maximum resident set size: 4608 pages
% 0.24/0.84 % E exiting
%------------------------------------------------------------------------------