%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KLE070+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:59:16 PM UTC 2026
% Result : Theorem 0.15s 5.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 28 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5] : addition(domain(X4),multiplication(domain(X4),domain(X5))) = domain(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(domain3,axiom,
! [X4] : addition(domain(X4),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
fof(c_0_5,negated_conjecture,
~ ! [X4,X5] : addition(domain(X4),multiplication(domain(X4),domain(X5))) = domain(X4),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_6,plain,
! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_7,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_8,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_9,plain,
! [X31] : addition(domain(X31),one) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_10,negated_conjecture,
addition(domain(esk1_0),multiplication(domain(esk1_0),domain(esk2_0))) != domain(esk1_0),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_11,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
addition(domain(X1),one) = one,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
addition(domain(esk1_0),multiplication(domain(esk1_0),domain(esk2_0))) != domain(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_13]),c_0_17]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE070+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n005.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 22:42:09 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.46 Running first-order theorem proving
% 0.15/5.46 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
% 0.15/5.49 % Version: 3.5.1
% 0.15/5.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.49 % Starting sh5l with 300s (1) cores
% 0.15/5.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1916078 completed with status 0
% 0.15/5.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.49 % No SInE strategy applied
% 0.15/5.49 % Search class: FHUSM-FFSF21-MFFFFFNN
% 0.15/5.49 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.49 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.49 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.15/5.49 % Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.15/5.49 % SubtermCWHack with pid 1916083 completed with status 0
% 0.15/5.49 % Result found by SubtermCWHack
% 0.15/5.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.49 % No SInE strategy applied
% 0.15/5.49 % Search class: FHUSM-FFSF21-MFFFFFNN
% 0.15/5.49 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.49 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.49 % Preprocessing time : 0.001 s
% 0.15/5.49
% 0.15/5.49 % Proof found!
% 0.15/5.49 % SZS status Theorem
% 0.15/5.49 % SZS output start CNFRefutation
% See solution above
% 0.15/5.49 % Parsed axioms : 18
% 0.15/5.49 % Removed by relevancy pruning/SinE : 0
% 0.15/5.49 % Initial clauses : 19
% 0.15/5.49 % Removed in clause preprocessing : 0
% 0.15/5.49 % Initial clauses in saturation : 19
% 0.15/5.49 % Processed clauses : 119
% 0.15/5.49 % ...of these trivial : 31
% 0.15/5.49 % ...subsumed : 37
% 0.15/5.49 % ...remaining for further processing : 51
% 0.15/5.49 % Other redundant clauses eliminated : 0
% 0.15/5.49 % Clauses deleted for lack of memory : 0
% 0.15/5.49 % Backward-subsumed : 0
% 0.15/5.49 % Backward-rewritten : 8
% 0.15/5.49 % Generated clauses : 902
% 0.15/5.49 % ...of the previous two non-redundant : 405
% 0.15/5.49 % ...aggressively subsumed : 0
% 0.15/5.49 % Contextual simplify-reflections : 0
% 0.15/5.49 % Paramodulations : 902
% 0.15/5.49 % Factorizations : 0
% 0.15/5.49 % NegExts : 0
% 0.15/5.49 % Equation resolutions : 0
% 0.15/5.49 % Disequality decompositions : 0
% 0.15/5.49 % Total rewrite steps : 1033
% 0.15/5.49 % ...of those cached : 698
% 0.15/5.49 % Propositional unsat checks : 0
% 0.15/5.49 % Propositional check models : 0
% 0.15/5.49 % Propositional check unsatisfiable : 0
% 0.15/5.49 % Propositional clauses : 0
% 0.15/5.49 % Propositional clauses after purity: 0
% 0.15/5.49 % Propositional unsat core size : 0
% 0.15/5.49 % Propositional preprocessing time : 0.000
% 0.15/5.49 % Propositional encoding time : 0.000
% 0.15/5.49 % Propositional solver time : 0.000
% 0.15/5.49 % Success case prop preproc time : 0.000
% 0.15/5.49 % Success case prop encoding time : 0.000
% 0.15/5.49 % Success case prop solver time : 0.000
% 0.15/5.49 % Current number of processed clauses : 43
% 0.15/5.49 % Positive orientable unit clauses : 37
% 0.15/5.49 % Positive unorientable unit clauses: 4
% 0.15/5.49 % Negative unit clauses : 0
% 0.15/5.49 % Non-unit-clauses : 2
% 0.15/5.49 % Current number of unprocessed clauses: 290
% 0.15/5.49 % ...number of literals in the above : 290
% 0.15/5.49 % Current number of archived formulas : 0
% 0.15/5.49 % Current number of archived clauses : 8
% 0.15/5.49 % Clause-clause subsumption calls (NU) : 0
% 0.15/5.49 % Rec. Clause-clause subsumption calls : 0
% 0.15/5.49 % Non-unit clause-clause subsumptions : 0
% 0.15/5.49 % Unit Clause-clause subsumption calls : 3
% 0.15/5.49 % Rewrite failures with RHS unbound : 0
% 0.15/5.49 % BW rewrite match attempts : 83
% 0.15/5.49 % BW rewrite match successes : 56
% 0.15/5.49 % Condensation attempts : 0
% 0.15/5.49 % Condensation successes : 0
% 0.15/5.49 % Termbank termtop insertions : 7782
% 0.15/5.49 % Search garbage collected termcells : 37
% 0.15/5.49
% 0.15/5.49 % -------------------------------------------------
% 0.15/5.49 % User time : 0.011 s
% 0.15/5.49 % System time : 0.004 s
% 0.15/5.49 % Total time : 0.015 s
% 0.15/5.49 % Maximum resident set size: 3648 pages
% 0.15/5.49
% 0.15/5.49 % -------------------------------------------------
% 0.15/5.49 % User time : 0.046 s
% 0.15/5.49 % System time : 0.017 s
% 0.15/5.49 % Total time : 0.062 s
% 0.15/5.49 % Maximum resident set size: 4864 pages
% 0.15/5.49 % E exiting
%------------------------------------------------------------------------------