TSTP Solution File: MGT055-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT055-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : 600s
% DateTime : Sun Jul 17 22:26:28 EDT 2022
% Result : Unsatisfiable 1.82s 1.99s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT055-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 10:51:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.82/1.99
% 1.82/1.99 SPASS V 3.9
% 1.82/1.99 SPASS beiseite: Proof found.
% 1.82/1.99 % SZS status Theorem
% 1.82/1.99 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/1.99 SPASS derived 7855 clauses, backtracked 236 clauses, performed 4 splits and kept 1806 clauses.
% 1.82/1.99 SPASS allocated 81576 KBytes.
% 1.82/1.99 SPASS spent 0:00:01.63 on the problem.
% 1.82/1.99 0:00:00.04 for the input.
% 1.82/1.99 0:00:00.00 for the FLOTTER CNF translation.
% 1.82/1.99 0:00:00.11 for inferences.
% 1.82/1.99 0:00:00.01 for the backtracking.
% 1.82/1.99 0:00:01.45 for the reduction.
% 1.82/1.99
% 1.82/1.99
% 1.82/1.99 Here is a proof with depth 5, length 86 :
% 1.82/1.99 % SZS output start Refutation
% 1.82/1.99 2[0:Inp] has_endowment(u) || smaller_or_equal(age(u,v),eta)* -> has_immunity(u,v).
% 1.82/1.99 3[0:Inp] has_endowment(u) || has_immunity(u,v) greater(age(u,v),eta)*l -> .
% 1.82/1.99 8[0:Inp] organization(u) || has_immunity(u,v) has_immunity(u,w) -> equal(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.82/1.99 9[0:Inp] organization(u) || has_immunity(u,v) -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.82/1.99 10[0:Inp] || dissimilar(u,v,w)* -> organization(u).
% 1.82/1.99 12[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)* -> .
% 1.82/1.99 14[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) dissimilar(u,v,w)*.
% 1.82/1.99 17[0:Inp] organization(u) || equal(age(u,v),zero)** -> is_aligned(u,v).
% 1.82/1.99 18[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) greater(capability(u,v),capability(u,w))*.
% 1.82/1.99 19[0:Inp] organization(u) || greater(age(u,v),sigma) equal(age(u,w),zero) -> dissimilar(u,w,v)*.
% 1.82/1.99 20[0:Inp] organization(u) || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 1.82/1.99 21[0:Inp] organization(u) || greater(capability(u,v),capability(u,w))* -> has_immunity(u,w) has_immunity(u,v) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v)).
% 1.82/1.99 22[0:Inp] || -> organization(sk2)*.
% 1.82/1.99 23[0:Inp] || -> has_endowment(sk2)*.
% 1.82/1.99 24[0:Inp] || -> equal(age(sk2,sk3),zero)**.
% 1.82/1.99 25[0:Inp] || -> smaller_or_equal(age(sk2,sk4),eta)*.
% 1.82/1.99 26[0:Inp] || -> greater(age(sk2,sk5),eta)*l.
% 1.82/1.99 27[0:Inp] || -> smaller_or_equal(age(sk2,sk5),sigma)*.
% 1.82/1.99 28[0:Inp] || -> greater(age(sk2,sk6),sigma)*l.
% 1.82/1.99 29[0:Inp] || -> greater(sigma,eta)*l.
% 1.82/1.99 30[0:Inp] || -> greater(eta,zero)*r.
% 1.82/1.99 31[0:Inp] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))*l -> .
% 1.82/1.99 32[0:Inp] || smaller_or_equal(u,v) -> equal(u,v) smaller(u,v)*.
% 1.82/1.99 33[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 1.82/1.99 38[0:Inp] || smaller(u,v)* -> greater(v,u).
% 1.82/1.99 39[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 1.82/1.99 40[0:Inp] || greater(u,v)*+ greater(v,u)* -> .
% 1.82/1.99 41[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 1.82/1.99 43[0:MRR:20.0,10.1] || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 1.82/1.99 44[0:MRR:21.3,9.1] organization(u) || greater(capability(u,v),capability(u,w))* -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v)).
% 1.82/1.99 46[0:Res:23.0,2.0] || smaller_or_equal(age(sk2,u),eta)* -> has_immunity(sk2,u).
% 1.82/1.99 51[0:Res:22.0,9.0] || has_immunity(sk2,u) -> has_immunity(sk2,v) greater(hazard_of_mortality(sk2,v),hazard_of_mortality(sk2,u))*.
% 1.82/1.99 54[0:Res:22.0,8.0] || has_immunity(sk2,u) has_immunity(sk2,v) -> equal(hazard_of_mortality(sk2,v),hazard_of_mortality(sk2,u))*.
% 1.82/1.99 56[0:Res:22.0,14.0] || is_aligned(sk2,u) -> is_aligned(sk2,v) dissimilar(sk2,u,v)*.
% 1.82/1.99 58[0:Res:22.0,17.0] || equal(age(sk2,u),zero)** -> is_aligned(sk2,u).
% 1.82/1.99 59[0:Res:27.0,32.0] || -> equal(age(sk2,sk5),sigma) smaller(age(sk2,sk5),sigma)*.
% 1.82/1.99 60[0:Res:25.0,2.1] has_endowment(sk2) || -> has_immunity(sk2,sk4)*.
% 1.82/1.99 62[0:Res:24.0,43.0] || dissimilar(sk2,sk3,u)* -> greater(age(sk2,u),sigma).
% 1.82/1.99 64[0:Res:24.0,17.1] organization(sk2) || -> is_aligned(sk2,sk3)*.
% 1.82/1.99 71[0:Res:30.0,39.0] || -> smaller(zero,eta)*.
% 1.82/1.99 77[0:Res:28.0,19.2] organization(sk2) || equal(age(sk2,u),zero) -> dissimilar(sk2,u,sk6)*.
% 1.82/1.99 82[0:Res:26.0,3.1] has_endowment(sk2) || has_immunity(sk2,sk5)* -> .
% 1.82/1.99 91[0:MRR:60.0,23.0] || -> has_immunity(sk2,sk4)*.
% 1.82/1.99 92[0:MRR:64.0,22.0] || -> is_aligned(sk2,sk3)*.
% 1.82/1.99 93[0:MRR:82.0,23.0] || has_immunity(sk2,sk5)* -> .
% 1.82/1.99 94[0:MRR:77.0,22.0] || equal(age(sk2,u),zero) -> dissimilar(sk2,u,sk6)*.
% 1.82/1.99 96[1:Spt:59.0] || -> equal(age(sk2,sk5),sigma)**.
% 1.82/1.99 105[0:Res:71.0,33.0] || -> smaller_or_equal(zero,eta)*.
% 1.82/1.99 108[0:SpL:24.0,46.0] || smaller_or_equal(zero,eta) -> has_immunity(sk2,sk3)*.
% 1.82/1.99 112[0:MRR:108.0,105.0] || -> has_immunity(sk2,sk3)*.
% 1.82/1.99 144[0:Res:94.1,12.2] || equal(age(sk2,u),zero)** is_aligned(sk2,sk6) is_aligned(sk2,u) -> .
% 1.82/1.99 147[0:MRR:144.2,58.1] || equal(age(sk2,u),zero)** is_aligned(sk2,sk6) -> .
% 1.82/1.99 149[0:SpL:24.0,147.0] || equal(zero,zero) is_aligned(sk2,sk6)* -> .
% 1.82/1.99 150[0:Obv:149.0] || is_aligned(sk2,sk6)* -> .
% 1.82/1.99 198[0:Res:56.2,62.0] || is_aligned(sk2,sk3) -> is_aligned(sk2,u) greater(age(sk2,u),sigma)*l.
% 1.82/1.99 201[0:MRR:198.0,92.0] || -> is_aligned(sk2,u) greater(age(sk2,u),sigma)*l.
% 1.82/1.99 202[1:SpR:96.0,201.1] || -> is_aligned(sk2,sk5)* greater(sigma,sigma).
% 1.82/1.99 210[0:Res:201.1,40.0] || greater(sigma,age(sk2,u))*r -> is_aligned(sk2,u).
% 1.82/1.99 244[0:NCh:41.2,41.0,3.2,28.0] has_endowment(sk2) || has_immunity(sk2,sk6)* greater(sigma,eta) -> .
% 1.82/1.99 250[0:SSi:244.0,23.0,22.0] || has_immunity(sk2,sk6)* greater(sigma,eta) -> .
% 1.82/1.99 251[0:MRR:250.1,29.0] || has_immunity(sk2,sk6)* -> .
% 1.82/1.99 267[1:SpL:96.0,210.0] || greater(sigma,sigma) -> is_aligned(sk2,sk5)*.
% 1.82/1.99 270[1:MRR:267.0,202.1] || -> is_aligned(sk2,sk5)*.
% 1.82/1.99 567[0:Res:18.3,44.1] organization(u) organization(u) || is_aligned(u,v) -> is_aligned(u,w) has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.82/1.99 572[0:Obv:567.0] organization(u) || is_aligned(u,v) -> is_aligned(u,w) has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.82/1.99 3474[0:Res:572.4,31.2] organization(sk2) || is_aligned(sk2,sk5) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))*l -> is_aligned(sk2,sk6) has_immunity(sk2,sk6).
% 1.82/1.99 3553[0:SSi:3474.0,23.0,22.0] || is_aligned(sk2,sk5) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))*l -> is_aligned(sk2,sk6) has_immunity(sk2,sk6).
% 1.82/1.99 3554[1:MRR:3553.0,3553.3,3553.4,270.0,150.0,251.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))*l -> .
% 1.82/1.99 4993[1:Res:51.2,3554.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** -> has_immunity(sk2,sk5).
% 1.82/1.99 5014[1:MRR:4993.0,4993.2,91.0,93.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** -> .
% 1.82/1.99 5017[1:SpL:54.2,5014.0] || has_immunity(sk2,sk4) has_immunity(sk2,u) equal(hazard_of_mortality(sk2,u),hazard_of_mortality(sk2,sk3))* -> .
% 1.82/1.99 5019[1:MRR:5017.0,91.0] || has_immunity(sk2,u) equal(hazard_of_mortality(sk2,u),hazard_of_mortality(sk2,sk3))* -> .
% 1.82/1.99 5020[1:EqR:5019.1] || has_immunity(sk2,sk3)* -> .
% 1.82/1.99 5029[1:MRR:5020.0,112.0] || -> .
% 1.82/1.99 5039[1:Spt:5029.0,59.0,96.0] || equal(age(sk2,sk5),sigma)** -> .
% 1.82/1.99 5040[1:Spt:5029.0,59.1] || -> smaller(age(sk2,sk5),sigma)*.
% 1.82/1.99 5043[0:MRR:3553.3,3553.4,150.0,251.0] || is_aligned(sk2,sk5) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))*l -> .
% 1.82/1.99 5048[1:Res:5040.0,38.0] || -> greater(sigma,age(sk2,sk5))*r.
% 1.82/1.99 5184[1:Res:5048.0,210.0] || -> is_aligned(sk2,sk5)*.
% 1.82/1.99 5252[1:MRR:5043.0,5184.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))*l -> .
% 1.82/1.99 8305[1:Res:51.2,5252.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** -> has_immunity(sk2,sk5).
% 1.82/1.99 8330[1:MRR:8305.0,8305.2,91.0,93.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** -> .
% 1.82/1.99 8395[1:SpL:54.2,8330.0] || has_immunity(sk2,sk4) has_immunity(sk2,u) equal(hazard_of_mortality(sk2,u),hazard_of_mortality(sk2,sk3))* -> .
% 1.82/1.99 8397[1:MRR:8395.0,91.0] || has_immunity(sk2,u) equal(hazard_of_mortality(sk2,u),hazard_of_mortality(sk2,sk3))* -> .
% 1.82/1.99 8398[1:EqR:8397.1] || has_immunity(sk2,sk3)* -> .
% 1.82/1.99 8407[1:MRR:8398.0,112.0] || -> .
% 1.82/1.99 % SZS output end Refutation
% 1.82/1.99 Formulae used in the proof : definition_1_39 definition_1_40 assumption_2_45 assumption_3_46 definition_2_47 definition_2_49 definition_2_51 assumption_13_54 assumption_14_55 assumption_15_56 assumption_15_57 assumption_16_58 lemma_8_59 lemma_8_60 lemma_8_61 lemma_8_62 lemma_8_63 lemma_8_64 lemma_8_65 lemma_8_66 lemma_8_67 lemma_8_68 definition_smaller_or_equal_1 definition_smaller_or_equal_2 definition_smaller_7 definition_smaller_8 meaning_postulate_greater_strict_9 meaning_postulate_greater_transitive_10
% 1.89/2.06
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