TSTP Solution File: MGT023+1 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n019.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 : Wed Mar 6 09:10:54 EST 2024
% Result : Theorem 28.53s 28.75s
% Output : Proof 28.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Mar 4 04:08:21 EST 2024
% 0.12/0.33 % CPUTime :
% 28.53/28.75 % SZS status Theorem for theBenchmark
% 28.53/28.75 % SZS output start Proof for theBenchmark
% 28.53/28.75
% 28.53/28.75 % Formula: d1 ( hypothesis ) converted to clauses:
% 28.53/28.75 cnf(d1-1, hypothesis, ( ( _u1 = critical_point(_u2)) | ~environment(_u2) | greater(growth_rate(efficient_producers, _u1), growth_rate(first_movers, _u1)) | ~in_environment(_u2, _u1) | subpopulations(first_movers, efficient_producers, _u2, skolem1(_u2, _u1)) )).
% 28.53/28.75 cnf(d1-2, hypothesis, ( ( _u1 = critical_point(_u2)) | ~environment(_u2) | greater(growth_rate(efficient_producers, _u1), growth_rate(first_movers, _u1)) | ~in_environment(_u2, _u1) | greater(skolem1(_u2, _u1), _u1) )).
% 28.53/28.75 cnf(d1-3, hypothesis, ( ( _u1 = critical_point(_u2)) | ~environment(_u2) | greater(growth_rate(efficient_producers, _u1), growth_rate(first_movers, _u1)) | ~in_environment(_u2, _u1) | ~greater(growth_rate(efficient_producers, skolem1(_u2, _u1)), growth_rate(first_movers, skolem1(_u2, _u1))) )).
% 28.53/28.75
% 28.53/28.75 % Formula: l12 ( hypothesis ) converted to clauses:
% 28.53/28.75 cnf(l12-1, hypothesis, ( ~environment(_u5) | ~stable(_u5) | in_environment(_u5, skolem2(_u5)) )).
% 28.53/28.75 cnf(l12-2, hypothesis, ( ~environment(_u5) | ~stable(_u5) | ~greater(growth_rate(efficient_producers, skolem2(_u5)), growth_rate(first_movers, skolem2(_u5))) )).
% 28.53/28.75 cnf(l12-3, hypothesis, ( ~environment(_u5) | ~stable(_u5) | ~subpopulations(first_movers, efficient_producers, _u5, _u3) | ~greater(_u3, skolem2(_u5)) | greater(growth_rate(efficient_producers, _u3), growth_rate(first_movers, _u3)) )).
% 28.53/28.75
% 28.53/28.75 % Formula: prove_l5 ( conjecture ) converted to clauses:
% 28.53/28.75 cnf(prove_l5-1, negated_conjecture, ( environment(skolem3) )).
% 28.53/28.75 cnf(prove_l5-2, negated_conjecture, ( stable(skolem3) )).
% 28.53/28.75 cnf(prove_l5-3, negated_conjecture, ( ~in_environment(skolem3, critical_point(skolem3)) )).
% 28.53/28.75
% 28.53/28.75 % Problem matrix:
% 28.53/28.75 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 28.53/28.75 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 28.53/28.75 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 28.53/28.75 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( growth_rate(__eqx_0, __eqx_1) = growth_rate(__eqy_0, __eqy_1)) )).
% 28.53/28.75 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( critical_point(__eqx_0) = critical_point(__eqy_0)) )).
% 28.53/28.75 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 28.53/28.75 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 28.53/28.75 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~environment(__eqx_0) | environment(__eqy_0) )).
% 28.53/28.75 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 28.53/28.75 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in_environment(__eqx_0, __eqx_1) | in_environment(__eqy_0, __eqy_1) )).
% 28.53/28.75 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~subpopulations(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | subpopulations(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 28.53/28.75 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~stable(__eqx_0) | stable(__eqy_0) )).
% 28.53/28.75 cnf(matrix-12, plain, ( ( _u1 = critical_point(_u2)) | ~environment(_u2) | greater(growth_rate(efficient_producers, _u1), growth_rate(first_movers, _u1)) | ~in_environment(_u2, _u1) | subpopulations(first_movers, efficient_producers, _u2, skolem1(_u2, _u1)) )).
% 28.53/28.75 cnf(matrix-13, plain, ( ( _u1 = critical_point(_u2)) | ~environment(_u2) | greater(growth_rate(efficient_producers, _u1), growth_rate(first_movers, _u1)) | ~in_environment(_u2, _u1) | greater(skolem1(_u2, _u1), _u1) )).
% 28.53/28.75 cnf(matrix-14, plain, ( ( _u1 = critical_point(_u2)) | ~environment(_u2) | greater(growth_rate(efficient_producers, _u1), growth_rate(first_movers, _u1)) | ~in_environment(_u2, _u1) | ~greater(growth_rate(efficient_producers, skolem1(_u2, _u1)), growth_rate(first_movers, skolem1(_u2, _u1))) )).
% 28.53/28.75 cnf(matrix-15, plain, ( ~environment(_u5) | ~stable(_u5) | in_environment(_u5, skolem2(_u5)) )).
% 28.53/28.75 cnf(matrix-16, plain, ( ~environment(_u5) | ~stable(_u5) | ~greater(growth_rate(efficient_producers, skolem2(_u5)), growth_rate(first_movers, skolem2(_u5))) )).
% 28.53/28.75 cnf(matrix-17, plain, ( ~environment(_u5) | ~stable(_u5) | ~subpopulations(first_movers, efficient_producers, _u5, _u3) | ~greater(_u3, skolem2(_u5)) | greater(growth_rate(efficient_producers, _u3), growth_rate(first_movers, _u3)) )).
% 28.53/28.75 cnf(matrix-18, plain, ( environment(skolem3) )).
% 28.53/28.75 cnf(matrix-19, plain, ( stable(skolem3) )).
% 28.53/28.75 cnf(matrix-20, plain, ( ~in_environment(skolem3, critical_point(skolem3)) )).
% 28.53/28.75
% 28.53/28.75 % Proof stack:
% 28.53/28.75 cnf(proof-stack, plain,
% 28.53/28.75 proof_stack(
% 28.53/28.75 start(20),
% 28.53/28.75 left_branch(0, 9, 3, 2),
% 28.53/28.75 left_branch(0, 1, 1, 3),
% 28.53/28.75 left_branch(0, 0, 0, 4),
% 28.53/28.75 right_branch(4),
% 28.53/28.75 right_branch(3),
% 28.53/28.75 left_branch(0, 15, 2, 4),
% 28.53/28.75 left_branch(0, 18, 0, 5),
% 28.53/28.75 right_branch(5),
% 28.53/28.75 left_branch(0, 19, 0, 6),
% 28.53/28.75 right_branch(6),
% 28.53/28.75 right_branch(4),
% 28.53/28.75 left_branch(0, 14, 0, 5),
% 28.53/28.75 left_branch(0, 17, 4, 6),
% 28.53/28.75 left_branch(0, 18, 0, 7),
% 28.53/28.75 right_branch(7),
% 28.53/28.75 left_branch(0, 13, 4, 8),
% 28.53/28.75 reduction(0, 1),
% 28.53/28.75 lemmata(0, 1),
% 28.53/28.75 left_branch(0, 16, 2, 11),
% 28.53/28.75 lemmata(0, 2),
% 28.53/28.75 left_branch(0, 19, 0, 13),
% 28.53/28.75 right_branch(13),
% 28.53/28.75 right_branch(11),
% 28.53/28.75 lemmata(0, 2),
% 28.53/28.75 right_branch(8),
% 28.53/28.75 left_branch(0, 12, 4, 9),
% 28.53/28.75 reduction(0, 1),
% 28.53/28.75 lemmata(0, 1),
% 28.53/28.75 left_branch(0, 16, 2, 12),
% 28.53/28.75 lemmata(0, 2),
% 28.53/28.75 left_branch(0, 19, 0, 14),
% 28.53/28.75 right_branch(14),
% 28.53/28.75 right_branch(12),
% 28.53/28.75 lemmata(0, 2),
% 28.53/28.75 right_branch(9),
% 28.53/28.75 left_branch(0, 19, 0, 10),
% 28.53/28.75 right_branch(10),
% 28.53/28.75 right_branch(6),
% 28.53/28.75 lemmata(0, 1),
% 28.53/28.75 left_branch(0, 16, 2, 8),
% 28.53/28.75 left_branch(0, 18, 0, 9),
% 28.53/28.75 right_branch(9),
% 28.53/28.75 left_branch(0, 19, 0, 10),
% 28.53/28.75 right_branch(10),
% 28.53/28.75 right_branch(8),
% 28.53/28.75 left_branch(0, 18, 0, 9),
% 28.53/28.75 right_branch(9),
% 28.53/28.75 right_branch(5),
% 28.53/28.75 right_branch(2)
% 28.53/28.75 )).
% 28.53/28.75 % SZS output end Proof for theBenchmark
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