%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT056+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n026.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 : Tue Sep 8 06:04:35 AM UTC 2026
% Result : Theorem 0.27s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT056+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 13:30:57 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.45 start to proof:theBenchmark.p
% 0.27/0.53 % Version : CSI_E---1.1
% 0.27/0.53 % Problem : theBenchmark.p
% 0.27/0.53 % Proof found!
% 0.27/0.53 % SZS status Theorem for theBenchmark.p
% 0.27/0.53 % SZS output start Proof
% 0.27/0.53 fof(lemma_9, conjecture, ![X1, X5, X6, X7]:((((((((organization(X1)&has_endowment(X1))&age(X1,X5)=zero)&smaller_or_equal(age(X1,X6),eta))&greater(age(X1,X7),eta))&greater_or_equal(eta,sigma))&greater(sigma,zero))=>(greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))&hazard_of_mortality(X1,X6)=hazard_of_mortality(X1,X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_9)).
% 0.27/0.53 fof(meaning_postulate_greater_transitive, axiom, ![X1, X2, X3]:(((greater(X1,X2)&greater(X2,X3))=>greater(X1,X3))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', meaning_postulate_greater_transitive)).
% 0.27/0.53 fof(definition_greater_or_equal, axiom, ![X1, X2]:((greater_or_equal(X1,X2)<=>(greater(X1,X2)|X1=X2))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', definition_greater_or_equal)).
% 0.27/0.53 fof(definition_1, axiom, ![X1]:((has_endowment(X1)<=>![X4]:(((organization(X1)&(smaller_or_equal(age(X1,X4),eta)=>has_immunity(X1,X4)))&(greater(age(X1,X4),eta)=>~(has_immunity(X1,X4))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', definition_1)).
% 0.27/0.53 fof(definition_smaller, axiom, ![X1, X2]:((smaller(X1,X2)<=>greater(X2,X1))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', definition_smaller)).
% 0.27/0.53 fof(definition_smaller_or_equal, axiom, ![X1, X2]:((smaller_or_equal(X1,X2)<=>(smaller(X1,X2)|X1=X2))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', definition_smaller_or_equal)).
% 0.27/0.53 fof(assumption_3, axiom, ![X1, X5, X4]:((((organization(X1)&has_immunity(X1,X5))&~(has_immunity(X1,X4)))=>greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', assumption_3)).
% 0.27/0.53 fof(assumption_2, axiom, ![X1, X5, X4]:((((organization(X1)&has_immunity(X1,X5))&has_immunity(X1,X4))=>hazard_of_mortality(X1,X5)=hazard_of_mortality(X1,X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', assumption_2)).
% 0.27/0.53 fof(meaning_postulate_greater_comparable, axiom, ![X1, X2]:((smaller(X1,X2)|X1=X2|greater(X1,X2))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', meaning_postulate_greater_comparable)).
% 0.27/0.53 fof(meaning_postulate_greater_strict, axiom, ![X1, X2]:(~((greater(X1,X2)&greater(X2,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', meaning_postulate_greater_strict)).
% 0.27/0.53 fof(c_0_10, negated_conjecture, ~(![X1, X5, X6, X7]:((((((((organization(X1)&has_endowment(X1))&age(X1,X5)=zero)&smaller_or_equal(age(X1,X6),eta))&greater(age(X1,X7),eta))&greater_or_equal(eta,sigma))&greater(sigma,zero))=>(greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))&hazard_of_mortality(X1,X6)=hazard_of_mortality(X1,X5))))), inference(assume_negation,[status(cth)],[lemma_9])).
% 0.27/0.53 fof(c_0_11, plain, ![X20, X21, X22]:((~greater(X20,X21)|~greater(X21,X22)|greater(X20,X22))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])])).
% 0.27/0.53 fof(c_0_12, negated_conjecture, (((((((organization(esk1_0)&has_endowment(esk1_0))&age(esk1_0,esk2_0)=zero)&smaller_or_equal(age(esk1_0,esk3_0),eta))&greater(age(esk1_0,esk4_0),eta))&greater_or_equal(eta,sigma))&greater(sigma,zero))&(~greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))|hazard_of_mortality(esk1_0,esk3_0)!=hazard_of_mortality(esk1_0,esk2_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
% 0.27/0.53 fof(c_0_13, plain, ![X23, X24]:(((~greater_or_equal(X23,X24)|(greater(X23,X24)|X23=X24))&((~greater(X23,X24)|greater_or_equal(X23,X24))&(X23!=X24|greater_or_equal(X23,X24))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])])])).
% 0.27/0.53 cnf(c_0_14, plain, (greater(X1,X3)|~greater(X1,X2)|~greater(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.27/0.53 cnf(c_0_15, negated_conjecture, (greater(sigma,zero)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_16, plain, (greater(X1,X2)|X1=X2|~greater_or_equal(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.27/0.53 cnf(c_0_17, negated_conjecture, (greater_or_equal(eta,sigma)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 fof(c_0_18, plain, ![X1]:((has_endowment(X1)<=>![X4]:(((organization(X1)&(smaller_or_equal(age(X1,X4),eta)=>has_immunity(X1,X4)))&(greater(age(X1,X4),eta)=>~has_immunity(X1,X4)))))), inference(fof_simplification,[status(thm)],[definition_1])).
% 0.27/0.53 fof(c_0_19, plain, ![X33, X34]:(((~smaller(X33,X34)|greater(X34,X33))&(~greater(X34,X33)|smaller(X33,X34)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])])).
% 0.27/0.53 cnf(c_0_20, negated_conjecture, (greater(X1,zero)|~greater(X1,sigma)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.27/0.53 cnf(c_0_21, negated_conjecture, (sigma=eta|greater(eta,sigma)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.27/0.53 fof(c_0_22, plain, ![X25, X26, X27, X28]:(((((organization(X25)|~has_endowment(X25))&(~smaller_or_equal(age(X25,X26),eta)|has_immunity(X25,X26)|~has_endowment(X25)))&(~greater(age(X25,X27),eta)|~has_immunity(X25,X27)|~has_endowment(X25)))&(((greater(age(X28,esk6_1(X28)),eta)|(smaller_or_equal(age(X28,esk5_1(X28)),eta)|~organization(X28))|has_endowment(X28))&(has_immunity(X28,esk6_1(X28))|(smaller_or_equal(age(X28,esk5_1(X28)),eta)|~organization(X28))|has_endowment(X28)))&((greater(age(X28,esk6_1(X28)),eta)|(~has_immunity(X28,esk5_1(X28))|~organization(X28))|has_endowment(X28))&(has_immunity(X28,esk6_1(X28))|(~has_immunity(X28,esk5_1(X28))|~organization(X28))|has_endowment(X28)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])])])).
% 0.27/0.53 fof(c_0_23, plain, ![X31, X32]:(((~smaller_or_equal(X31,X32)|(smaller(X31,X32)|X31=X32))&((~smaller(X31,X32)|smaller_or_equal(X31,X32))&(X31!=X32|smaller_or_equal(X31,X32))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])])).
% 0.27/0.53 cnf(c_0_24, plain, (smaller(X2,X1)|~greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.27/0.53 cnf(c_0_25, negated_conjecture, (sigma=eta|greater(eta,zero)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 0.27/0.53 fof(c_0_26, plain, ![X1, X5, X4]:((((organization(X1)&has_immunity(X1,X5))&~has_immunity(X1,X4))=>greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)))), inference(fof_simplification,[status(thm)],[assumption_3])).
% 0.27/0.53 fof(c_0_27, plain, ![X12, X13, X14]:((~organization(X12)|~has_immunity(X12,X13)|~has_immunity(X12,X14)|hazard_of_mortality(X12,X13)=hazard_of_mortality(X12,X14))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])])])).
% 0.27/0.53 cnf(c_0_28, plain, (has_immunity(X1,X2)|~smaller_or_equal(age(X1,X2),eta)|~has_endowment(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
% 0.27/0.53 cnf(c_0_29, negated_conjecture, (smaller_or_equal(age(esk1_0,esk3_0),eta)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_30, negated_conjecture, (has_endowment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_31, negated_conjecture, (age(esk1_0,esk2_0)=zero), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_32, plain, (smaller_or_equal(X1,X2)|~smaller(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.27/0.53 cnf(c_0_33, negated_conjecture, (sigma=eta|smaller(zero,eta)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.27/0.53 fof(c_0_34, plain, ![X15, X16, X17]:((~organization(X15)|~has_immunity(X15,X16)|has_immunity(X15,X17)|greater(hazard_of_mortality(X15,X17),hazard_of_mortality(X15,X16)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
% 0.27/0.53 fof(c_0_35, plain, ![X35, X36]:((smaller(X35,X36)|X35=X36|greater(X35,X36))), inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable])).
% 0.27/0.53 cnf(c_0_36, plain, (hazard_of_mortality(X1,X2)=hazard_of_mortality(X1,X3)|~organization(X1)|~has_immunity(X1,X2)|~has_immunity(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_27])).
% 0.27/0.53 cnf(c_0_37, negated_conjecture, (has_immunity(esk1_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
% 0.27/0.53 cnf(c_0_38, negated_conjecture, (organization(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_39, negated_conjecture, (has_immunity(esk1_0,esk2_0)|~smaller_or_equal(zero,eta)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_31]), c_0_30])])).
% 0.27/0.53 cnf(c_0_40, negated_conjecture, (sigma=eta|smaller_or_equal(zero,eta)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 0.27/0.53 cnf(c_0_41, plain, (has_immunity(X1,X3)|greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))|~organization(X1)|~has_immunity(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.27/0.53 cnf(c_0_42, plain, (~greater(age(X1,X2),eta)|~has_immunity(X1,X2)|~has_endowment(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
% 0.27/0.53 cnf(c_0_43, negated_conjecture, (greater(age(esk1_0,esk4_0),eta)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_44, plain, (smaller(X1,X2)|X1=X2|greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
% 0.27/0.53 fof(c_0_45, plain, ![X18, X19]:((~greater(X18,X19)|~greater(X19,X18))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])])])).
% 0.27/0.53 cnf(c_0_46, negated_conjecture, (hazard_of_mortality(esk1_0,X1)=hazard_of_mortality(esk1_0,esk3_0)|~has_immunity(esk1_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
% 0.27/0.53 cnf(c_0_47, negated_conjecture, (sigma=eta|has_immunity(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
% 0.27/0.53 cnf(c_0_48, negated_conjecture, (~greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))|hazard_of_mortality(esk1_0,esk3_0)!=hazard_of_mortality(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.27/0.53 cnf(c_0_49, negated_conjecture, (has_immunity(esk1_0,X1)|greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_37]), c_0_38])])).
% 0.27/0.53 cnf(c_0_50, negated_conjecture, (~has_immunity(esk1_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_30])])).
% 0.27/0.53 cnf(c_0_51, plain, (X1=X2|greater(X1,X2)|smaller_or_equal(X1,X2)), inference(spm,[status(thm)],[c_0_32, c_0_44])).
% 0.27/0.53 cnf(c_0_52, plain, (~greater(X1,X2)|~greater(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
% 0.27/0.53 cnf(c_0_53, negated_conjecture, (hazard_of_mortality(esk1_0,esk2_0)=hazard_of_mortality(esk1_0,esk3_0)|sigma=eta), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 0.27/0.53 cnf(c_0_54, negated_conjecture, (hazard_of_mortality(esk1_0,esk2_0)!=hazard_of_mortality(esk1_0,esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])).
% 0.27/0.53 cnf(c_0_55, negated_conjecture, (zero=eta|has_immunity(esk1_0,esk2_0)|greater(zero,eta)), inference(spm,[status(thm)],[c_0_39, c_0_51])).
% 0.27/0.53 cnf(c_0_56, negated_conjecture, (~greater(zero,sigma)), inference(spm,[status(thm)],[c_0_52, c_0_15])).
% 0.27/0.53 cnf(c_0_57, negated_conjecture, (sigma=eta), inference(sr,[status(thm)],[c_0_53, c_0_54])).
% 0.27/0.53 cnf(c_0_58, negated_conjecture, (hazard_of_mortality(esk1_0,esk2_0)=hazard_of_mortality(esk1_0,esk3_0)|zero=eta|greater(zero,eta)), inference(spm,[status(thm)],[c_0_46, c_0_55])).
% 0.27/0.53 cnf(c_0_59, negated_conjecture, (~greater(zero,eta)), inference(rw,[status(thm)],[c_0_56, c_0_57])).
% 0.27/0.53 cnf(c_0_60, negated_conjecture, (zero=eta), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_58, c_0_54]), c_0_59])).
% 0.27/0.53 cnf(c_0_61, negated_conjecture, (greater(eta,zero)), inference(rw,[status(thm)],[c_0_15, c_0_57])).
% 0.27/0.53 cnf(c_0_62, negated_conjecture, (~greater(eta,eta)), inference(rw,[status(thm)],[c_0_59, c_0_60])).
% 0.27/0.53 cnf(c_0_63, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_60]), c_0_62]), ['proof']).
% 0.27/0.53 % SZS output end Proof
% 0.27/0.53 % User time : 0.013 s
% 0.27/0.53 % System time : 0.001 s
% 0.27/0.53 % Total time : 0.014 s
% 0.27/0.53 % User time : 0.014 s
% 0.27/0.53 % System time : 0.005 s
% 0.27/0.53 % Total time : 0.019 s
% 0.27/0.53
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