%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n027.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 0.24s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.11/0.35 % Computer : n027.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 7 13:32:30 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.24/0.48 start to proof:theBenchmark.p
% 0.24/0.55 % Version : CSI_E---1.1
% 0.24/0.55 % Problem : theBenchmark.p
% 0.24/0.55 % Proof found!
% 0.24/0.55 % SZS status Theorem for theBenchmark.p
% 0.24/0.55 % SZS output start Proof
% 0.24/0.55 fof(theorem_6, 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(eta,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/sandbox2/benchmark/theBenchmark.p', theorem_6)).
% 0.24/0.55 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/sandbox2/benchmark/theBenchmark.p', definition_1)).
% 0.24/0.55 fof(definition_smaller, axiom, ![X1, X2]:((smaller(X1,X2)<=>greater(X2,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax', definition_smaller)).
% 0.24/0.55 fof(definition_smaller_or_equal, axiom, ![X1, X2]:((smaller_or_equal(X1,X2)<=>(smaller(X1,X2)|X1=X2))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax', definition_smaller_or_equal)).
% 0.24/0.55 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/sandbox2/benchmark/theBenchmark.p', assumption_2)).
% 0.24/0.55 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/sandbox2/benchmark/theBenchmark.p', assumption_3)).
% 0.24/0.55 fof(c_0_6, 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(eta,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)],[theorem_6])).
% 0.24/0.55 fof(c_0_7, 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])).
% 0.24/0.55 fof(c_0_8, plain, ![X31, X32]:(((~smaller(X31,X32)|greater(X32,X31))&(~greater(X32,X31)|smaller(X31,X32)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])])).
% 0.24/0.55 fof(c_0_9, 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(eta,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_6])])])])).
% 0.24/0.55 fof(c_0_10, plain, ![X23, X24, X25, X26]:(((((organization(X23)|~has_endowment(X23))&(~smaller_or_equal(age(X23,X24),eta)|has_immunity(X23,X24)|~has_endowment(X23)))&(~greater(age(X23,X25),eta)|~has_immunity(X23,X25)|~has_endowment(X23)))&(((greater(age(X26,esk6_1(X26)),eta)|(smaller_or_equal(age(X26,esk5_1(X26)),eta)|~organization(X26))|has_endowment(X26))&(has_immunity(X26,esk6_1(X26))|(smaller_or_equal(age(X26,esk5_1(X26)),eta)|~organization(X26))|has_endowment(X26)))&((greater(age(X26,esk6_1(X26)),eta)|(~has_immunity(X26,esk5_1(X26))|~organization(X26))|has_endowment(X26))&(has_immunity(X26,esk6_1(X26))|(~has_immunity(X26,esk5_1(X26))|~organization(X26))|has_endowment(X26)))))), 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_7])])])])])])])).
% 0.24/0.55 fof(c_0_11, plain, ![X29, X30]:(((~smaller_or_equal(X29,X30)|(smaller(X29,X30)|X29=X30))&((~smaller(X29,X30)|smaller_or_equal(X29,X30))&(X29!=X30|smaller_or_equal(X29,X30))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])])).
% 0.24/0.55 cnf(c_0_12, plain, (smaller(X2,X1)|~greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.24/0.55 cnf(c_0_13, negated_conjecture, (greater(eta,zero)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.55 fof(c_0_14, 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])])])).
% 0.24/0.55 cnf(c_0_15, plain, (has_immunity(X1,X2)|~smaller_or_equal(age(X1,X2),eta)|~has_endowment(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.24/0.55 cnf(c_0_16, negated_conjecture, (smaller_or_equal(age(esk1_0,esk3_0),eta)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.55 cnf(c_0_17, negated_conjecture, (has_endowment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.55 cnf(c_0_18, negated_conjecture, (age(esk1_0,esk2_0)=zero), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.55 cnf(c_0_19, plain, (smaller_or_equal(X1,X2)|~smaller(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.24/0.55 cnf(c_0_20, negated_conjecture, (smaller(zero,eta)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.24/0.55 cnf(c_0_21, 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_14])).
% 0.24/0.55 cnf(c_0_22, negated_conjecture, (has_immunity(esk1_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])])).
% 0.24/0.55 cnf(c_0_23, negated_conjecture, (organization(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.55 cnf(c_0_24, 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_15, c_0_18]), c_0_17])])).
% 0.24/0.55 cnf(c_0_25, negated_conjecture, (smaller_or_equal(zero,eta)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.24/0.55 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])).
% 0.24/0.55 cnf(c_0_27, 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_21, c_0_22]), c_0_23])])).
% 0.24/0.55 cnf(c_0_28, negated_conjecture, (has_immunity(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 0.24/0.55 fof(c_0_29, 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])])])).
% 0.24/0.55 cnf(c_0_30, 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_9])).
% 0.24/0.55 cnf(c_0_31, negated_conjecture, (hazard_of_mortality(esk1_0,esk2_0)=hazard_of_mortality(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.24/0.55 cnf(c_0_32, 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_29])).
% 0.24/0.55 cnf(c_0_33, plain, (~greater(age(X1,X2),eta)|~has_immunity(X1,X2)|~has_endowment(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.24/0.55 cnf(c_0_34, negated_conjecture, (greater(age(esk1_0,esk4_0),eta)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.55 cnf(c_0_35, negated_conjecture, (~greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 0.24/0.55 cnf(c_0_36, 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_32, c_0_22]), c_0_23])])).
% 0.24/0.55 cnf(c_0_37, negated_conjecture, (~has_immunity(esk1_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_17])])).
% 0.24/0.55 cnf(c_0_38, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37]), ['proof']).
% 0.24/0.55 % SZS output end Proof
% 0.24/0.55 % User time : 0.013 s
% 0.24/0.55 % System time : 0.002 s
% 0.24/0.55 % Total time : 0.015 s
% 0.24/0.55 % User time : 0.014 s
% 0.24/0.55 % System time : 0.006 s
% 0.24/0.55 % Total time : 0.020 s
% 0.24/0.55
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