TSTP Solution File: MGT057+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:21:59 EDT 2024
% Result : Theorem 18.15s 18.36s
% Output : Proof 18.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 03:38:49 EDT 2024
% 0.12/0.34 % CPUTime :
% 18.15/18.36 % SZS status Theorem for theBenchmark
% 18.15/18.36 % SZS output start Proof for theBenchmark
% 18.15/18.36
% 18.15/18.36 % Formula: definition_smaller_or_equal ( axiom ) converted to clauses:
% 18.15/18.36 cnf(definition_smaller_or_equal-1, axiom, ( ~smaller_or_equal(_u4, _u2) | smaller(_u4, _u2) | ( _u4 = _u2) )).
% 18.15/18.36 cnf(definition_smaller_or_equal-2, axiom, ( smaller_or_equal(_u5, _u3) | ~smaller(_u5, _u3) )).
% 18.15/18.36 cnf(definition_smaller_or_equal-3, axiom, ( smaller_or_equal(_u5, _u3) | ( _u5 != _u3) )).
% 18.15/18.36
% 18.15/18.36 % Formula: definition_greater_or_equal ( axiom ) converted to clauses:
% 18.15/18.36 cnf(definition_greater_or_equal-1, axiom, ( ~greater_or_equal(_u10, _u8) | greater(_u10, _u8) | ( _u10 = _u8) )).
% 18.15/18.36 cnf(definition_greater_or_equal-2, axiom, ( greater_or_equal(_u11, _u9) | ~greater(_u11, _u9) )).
% 18.15/18.36 cnf(definition_greater_or_equal-3, axiom, ( greater_or_equal(_u11, _u9) | ( _u11 != _u9) )).
% 18.15/18.36
% 18.15/18.36 % Formula: definition_smaller ( axiom ) converted to clauses:
% 18.15/18.36 cnf(definition_smaller-1, axiom, ( ~smaller(_u16, _u14) | greater(_u14, _u16) )).
% 18.15/18.36 cnf(definition_smaller-2, axiom, ( ~greater(_u15, _u17) | smaller(_u17, _u15) )).
% 18.15/18.36
% 18.15/18.36 % Formula: meaning_postulate_greater_strict ( axiom ) converted to clauses:
% 18.15/18.36 cnf(meaning_postulate_greater_strict-1, axiom, ( ~greater(_u19, _u18) | ~greater(_u18, _u19) )).
% 18.15/18.36
% 18.15/18.36 % Formula: meaning_postulate_greater_transitive ( axiom ) converted to clauses:
% 18.15/18.36 cnf(meaning_postulate_greater_transitive-1, axiom, ( ~greater(_u22, _u21) | ~greater(_u21, _u20) | greater(_u22, _u20) )).
% 18.15/18.36
% 18.15/18.36 % Formula: meaning_postulate_greater_comparable ( axiom ) converted to clauses:
% 18.15/18.36 cnf(meaning_postulate_greater_comparable-1, axiom, ( smaller(_u24, _u23) | ( _u24 = _u23) | greater(_u24, _u23) )).
% 18.15/18.36
% 18.15/18.36 % Formula: definition_1 ( axiom ) converted to clauses:
% 18.15/18.36 cnf(definition_1-1, axiom, ( ~has_endowment(_u32) | organization(_u32) )).
% 18.15/18.36 cnf(definition_1-2, axiom, ( ~has_endowment(_u32) | ~smaller_or_equal(age(_u32, _u28), eta) | has_immunity(_u32, _u28) )).
% 18.15/18.36 cnf(definition_1-3, axiom, ( ~has_endowment(_u32) | ~greater(age(_u32, _u29), eta) | ~has_immunity(_u32, _u29) )).
% 18.15/18.36 cnf(definition_1-4, axiom, ( has_endowment(_u33) | ~organization(_u33) | smaller_or_equal(age(_u33, skolem1(_u33)), eta) | greater(age(_u33, skolem2(_u33)), eta) )).
% 18.15/18.36 cnf(definition_1-5, axiom, ( has_endowment(_u33) | ~organization(_u33) | smaller_or_equal(age(_u33, skolem1(_u33)), eta) | has_immunity(_u33, skolem2(_u33)) )).
% 18.15/18.36 cnf(definition_1-6, axiom, ( has_endowment(_u33) | ~organization(_u33) | ~has_immunity(_u33, skolem1(_u33)) | greater(age(_u33, skolem2(_u33)), eta) )).
% 18.15/18.36 cnf(definition_1-7, axiom, ( has_endowment(_u33) | ~organization(_u33) | ~has_immunity(_u33, skolem1(_u33)) | has_immunity(_u33, skolem2(_u33)) )).
% 18.15/18.36
% 18.15/18.36 % Formula: assumption_2 ( axiom ) converted to clauses:
% 18.15/18.36 cnf(assumption_2-1, axiom, ( ~organization(_u36) | ~has_immunity(_u36, _u35) | ~has_immunity(_u36, _u34) | ( hazard_of_mortality(_u36, _u35) = hazard_of_mortality(_u36, _u34)) )).
% 18.15/18.36
% 18.15/18.36 % Formula: assumption_3 ( axiom ) converted to clauses:
% 18.15/18.36 cnf(assumption_3-1, axiom, ( ~organization(_u39) | ~has_immunity(_u39, _u38) | has_immunity(_u39, _u37) | greater(hazard_of_mortality(_u39, _u37), hazard_of_mortality(_u39, _u38)) )).
% 18.15/18.36
% 18.15/18.36 % Formula: theorem_6 ( conjecture ) (definitionally) converted to clauses:
% 18.15/18.36 cnf(theorem_6-1, negated_conjecture, ( organization(skolem3) )).
% 18.15/18.36 cnf(theorem_6-2, negated_conjecture, ( has_endowment(skolem3) )).
% 18.15/18.36 cnf(theorem_6-3, negated_conjecture, ( ( age(skolem3, skolem4) = zero) )).
% 18.15/18.36 cnf(theorem_6-4, negated_conjecture, ( smaller_or_equal(age(skolem3, skolem5), eta) )).
% 18.15/18.36 cnf(theorem_6-5, negated_conjecture, ( greater(age(skolem3, skolem6), eta) )).
% 18.15/18.36 cnf(theorem_6-6, negated_conjecture, ( greater(eta, zero) )).
% 18.15/18.36 cnf(theorem_6-7, negated_conjecture, ( ~greater(hazard_of_mortality(skolem3, skolem6), hazard_of_mortality(skolem3, skolem5)) | ( hazard_of_mortality(skolem3, skolem5) != hazard_of_mortality(skolem3, skolem4)) )).
% 18.15/18.36
% 18.15/18.36 % Problem matrix:
% 18.15/18.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 18.15/18.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 18.15/18.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 18.15/18.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( age(__eqx_0, __eqx_1) = age(__eqy_0, __eqy_1)) )).
% 18.15/18.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hazard_of_mortality(__eqx_0, __eqx_1) = hazard_of_mortality(__eqy_0, __eqy_1)) )).
% 18.15/18.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 18.15/18.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 18.15/18.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~smaller_or_equal(__eqx_0, __eqx_1) | smaller_or_equal(__eqy_0, __eqy_1) )).
% 18.15/18.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~smaller(__eqx_0, __eqx_1) | smaller(__eqy_0, __eqy_1) )).
% 18.15/18.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater_or_equal(__eqx_0, __eqx_1) | greater_or_equal(__eqy_0, __eqy_1) )).
% 18.15/18.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 18.15/18.36 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~has_endowment(__eqx_0) | has_endowment(__eqy_0) )).
% 18.15/18.36 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~organization(__eqx_0) | organization(__eqy_0) )).
% 18.15/18.36 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~has_immunity(__eqx_0, __eqx_1) | has_immunity(__eqy_0, __eqy_1) )).
% 18.15/18.36 cnf(matrix-14, plain, ( ~smaller_or_equal(_u4, _u2) | smaller(_u4, _u2) | ( _u4 = _u2) )).
% 18.15/18.36 cnf(matrix-15, plain, ( smaller_or_equal(_u5, _u3) | ~smaller(_u5, _u3) )).
% 18.15/18.36 cnf(matrix-16, plain, ( smaller_or_equal(_u5, _u3) | ( _u5 != _u3) )).
% 18.15/18.36 cnf(matrix-17, plain, ( ~greater_or_equal(_u10, _u8) | greater(_u10, _u8) | ( _u10 = _u8) )).
% 18.15/18.36 cnf(matrix-18, plain, ( greater_or_equal(_u11, _u9) | ~greater(_u11, _u9) )).
% 18.15/18.36 cnf(matrix-19, plain, ( greater_or_equal(_u11, _u9) | ( _u11 != _u9) )).
% 18.15/18.36 cnf(matrix-20, plain, ( ~smaller(_u16, _u14) | greater(_u14, _u16) )).
% 18.15/18.36 cnf(matrix-21, plain, ( ~greater(_u15, _u17) | smaller(_u17, _u15) )).
% 18.15/18.36 cnf(matrix-22, plain, ( ~greater(_u19, _u18) | ~greater(_u18, _u19) )).
% 18.15/18.36 cnf(matrix-23, plain, ( ~greater(_u22, _u21) | ~greater(_u21, _u20) | greater(_u22, _u20) )).
% 18.15/18.36 cnf(matrix-24, plain, ( smaller(_u24, _u23) | ( _u24 = _u23) | greater(_u24, _u23) )).
% 18.15/18.36 cnf(matrix-25, plain, ( ~has_endowment(_u32) | organization(_u32) )).
% 18.15/18.36 cnf(matrix-26, plain, ( ~has_endowment(_u32) | ~smaller_or_equal(age(_u32, _u28), eta) | has_immunity(_u32, _u28) )).
% 18.15/18.36 cnf(matrix-27, plain, ( ~has_endowment(_u32) | ~greater(age(_u32, _u29), eta) | ~has_immunity(_u32, _u29) )).
% 18.15/18.36 cnf(matrix-28, plain, ( has_endowment(_u33) | ~organization(_u33) | smaller_or_equal(age(_u33, skolem1(_u33)), eta) | greater(age(_u33, skolem2(_u33)), eta) )).
% 18.15/18.36 cnf(matrix-29, plain, ( has_endowment(_u33) | ~organization(_u33) | smaller_or_equal(age(_u33, skolem1(_u33)), eta) | has_immunity(_u33, skolem2(_u33)) )).
% 18.15/18.36 cnf(matrix-30, plain, ( has_endowment(_u33) | ~organization(_u33) | ~has_immunity(_u33, skolem1(_u33)) | greater(age(_u33, skolem2(_u33)), eta) )).
% 18.15/18.36 cnf(matrix-31, plain, ( has_endowment(_u33) | ~organization(_u33) | ~has_immunity(_u33, skolem1(_u33)) | has_immunity(_u33, skolem2(_u33)) )).
% 18.15/18.36 cnf(matrix-32, plain, ( ~organization(_u36) | ~has_immunity(_u36, _u35) | ~has_immunity(_u36, _u34) | ( hazard_of_mortality(_u36, _u35) = hazard_of_mortality(_u36, _u34)) )).
% 18.15/18.36 cnf(matrix-33, plain, ( ~organization(_u39) | ~has_immunity(_u39, _u38) | has_immunity(_u39, _u37) | greater(hazard_of_mortality(_u39, _u37), hazard_of_mortality(_u39, _u38)) )).
% 18.15/18.36 cnf(matrix-34, plain, ( organization(skolem3) )).
% 18.15/18.36 cnf(matrix-35, plain, ( has_endowment(skolem3) )).
% 18.15/18.36 cnf(matrix-36, plain, ( ( age(skolem3, skolem4) = zero) )).
% 18.15/18.36 cnf(matrix-37, plain, ( smaller_or_equal(age(skolem3, skolem5), eta) )).
% 18.15/18.36 cnf(matrix-38, plain, ( greater(age(skolem3, skolem6), eta) )).
% 18.15/18.36 cnf(matrix-39, plain, ( greater(eta, zero) )).
% 18.15/18.36 cnf(matrix-40, plain, ( ~greater(hazard_of_mortality(skolem3, skolem6), hazard_of_mortality(skolem3, skolem5)) | ( hazard_of_mortality(skolem3, skolem5) != hazard_of_mortality(skolem3, skolem4)) )).
% 18.15/18.36
% 18.15/18.36 % Proof stack:
% 18.15/18.36 cnf(proof-stack, plain,
% 18.15/18.36 proof_stack(
% 18.15/18.36 start(35),
% 18.15/18.36 left_branch(0, 26, 0, 2),
% 18.15/18.36 left_branch(0, 33, 1, 3),
% 18.15/18.36 left_branch(0, 34, 0, 4),
% 18.15/18.36 right_branch(4),
% 18.15/18.36 left_branch(0, 33, 1, 5),
% 18.15/18.36 lemmata(0, 0),
% 18.15/18.36 left_branch(0, 33, 1, 7),
% 18.15/18.36 lemmata(0, 0),
% 18.15/18.36 left_branch(0, 27, 2, 9),
% 18.15/18.36 reduction(0, 0),
% 18.15/18.36 left_branch(0, 38, 0, 11),
% 18.15/18.36 right_branch(11),
% 18.15/18.36 right_branch(9),
% 18.15/18.36 left_branch(0, 22, 1, 10),
% 18.15/18.36 reduction(0, 4),
% 18.15/18.36 right_branch(10),
% 18.15/18.36 right_branch(7),
% 18.15/18.36 left_branch(0, 40, 0, 8),
% 18.15/18.36 left_branch(0, 32, 3, 9),
% 18.15/18.36 lemmata(0, 0),
% 18.15/18.36 reduction(0, 1),
% 18.15/18.36 reduction(0, 2),
% 18.15/18.36 right_branch(9),
% 18.15/18.36 right_branch(8),
% 18.15/18.36 right_branch(5),
% 18.15/18.36 left_branch(0, 10, 2, 6),
% 18.15/18.36 left_branch(0, 32, 3, 7),
% 18.15/18.36 lemmata(0, 0),
% 18.15/18.36 reduction(0, 1),
% 18.15/18.36 left_branch(0, 26, 2, 10),
% 18.15/18.36 reduction(0, 0),
% 18.15/18.36 left_branch(0, 37, 0, 12),
% 18.15/18.36 right_branch(12),
% 18.15/18.36 right_branch(10),
% 18.15/18.36 right_branch(7),
% 18.15/18.36 left_branch(0, 23, 0, 8),
% 18.15/18.36 left_branch(0, 22, 1, 9),
% 18.15/18.36 reduction(0, 4),
% 18.15/18.36 right_branch(9),
% 18.15/18.36 reduction(0, 3),
% 18.15/18.36 right_branch(8),
% 18.15/18.36 left_branch(0, 32, 3, 9),
% 18.15/18.36 lemmata(0, 0),
% 18.15/18.36 reduction(0, 1),
% 18.15/18.36 lemmata(0, 4),
% 18.15/18.36 right_branch(9),
% 18.15/18.36 right_branch(6),
% 18.15/18.36 right_branch(3),
% 18.15/18.36 left_branch(0, 15, 0, 4),
% 18.15/18.36 left_branch(0, 21, 1, 5),
% 18.15/18.36 left_branch(0, 10, 3, 6),
% 18.15/18.36 left_branch(0, 1, 1, 7),
% 18.15/18.36 left_branch(0, 0, 0, 8),
% 18.15/18.36 right_branch(8),
% 18.15/18.36 right_branch(7),
% 18.15/18.36 left_branch(0, 39, 0, 8),
% 18.15/18.36 right_branch(8),
% 18.15/18.36 left_branch(0, 1, 1, 9),
% 18.15/18.36 left_branch(0, 36, 0, 10),
% 18.15/18.36 right_branch(10),
% 18.15/18.36 right_branch(9),
% 18.15/18.36 right_branch(6),
% 18.15/18.36 right_branch(5),
% 18.15/18.36 right_branch(4),
% 18.15/18.36 right_branch(2)
% 18.15/18.36 )).
% 18.15/18.36 % SZS output end Proof for theBenchmark
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