TSTP Solution File: MGT061+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 22:26:30 EDT 2022
% Result : Theorem 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.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 11:50:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.84
% 0.67/0.84 SPASS V 3.9
% 0.67/0.84 SPASS beiseite: Proof found.
% 0.67/0.84 % SZS status Theorem
% 0.67/0.84 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84 SPASS derived 3654 clauses, backtracked 0 clauses, performed 3 splits and kept 1208 clauses.
% 0.67/0.84 SPASS allocated 100063 KBytes.
% 0.67/0.84 SPASS spent 0:00:00.48 on the problem.
% 0.67/0.84 0:00:00.04 for the input.
% 0.67/0.84 0:00:00.04 for the FLOTTER CNF translation.
% 0.67/0.84 0:00:00.05 for inferences.
% 0.67/0.84 0:00:00.00 for the backtracking.
% 0.67/0.84 0:00:00.32 for the reduction.
% 0.67/0.84
% 0.67/0.84
% 0.67/0.84 Here is a proof with depth 4, length 64 :
% 0.67/0.84 % SZS output start Refutation
% 0.67/0.84 1[0:Inp] || -> fragile_position(skc4)*.
% 0.67/0.84 2[0:Inp] || -> organization(skc4)*.
% 0.67/0.84 3[0:Inp] || has_endowment(skc4)* -> .
% 0.67/0.84 4[0:Inp] || -> greater(sigma,zero)*l.
% 0.67/0.84 8[0:Inp] || -> greater(high,mod2)*l.
% 0.67/0.84 9[0:Inp] || -> greater(mod2,low)*l.
% 0.67/0.84 10[0:Inp] || -> greater(age(skc4,skc7),sigma)*l.
% 0.67/0.84 11[0:Inp] || -> smaller_or_equal(age(skc4,skc6),sigma)*.
% 0.67/0.84 12[0:Inp] || -> equal(age(skc4,skc5),zero)**.
% 0.67/0.84 13[0:Inp] || dissimilar(u,v,w)* -> organization(u).
% 0.67/0.84 14[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 0.67/0.84 19[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 0.67/0.84 21[0:Inp] organization(u) || has_immunity(u,v)* -> has_endowment(u).
% 0.67/0.84 27[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 0.67/0.84 28[0:Inp] organization(u) || equal(age(u,v),zero)** -> is_aligned(u,v).
% 0.67/0.84 29[0:Inp] fragile_position(u) || smaller_or_equal(age(u,v),sigma)* -> positional_advantage(u,v).
% 0.67/0.84 32[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)* -> .
% 0.67/0.84 33[0:Inp] fragile_position(u) || positional_advantage(u,v) greater(age(u,v),sigma)*l -> .
% 0.67/0.84 35[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) dissimilar(u,v,w)*.
% 0.67/0.84 38[0:Inp] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5)) greater(hazard_of_mortality(skc4,skc7),hazard_of_mortality(skc4,skc6))*l -> .
% 0.67/0.84 39[0:Inp] organization(u) || -> has_immunity(u,v) positional_advantage(u,v) is_aligned(u,v) equal(hazard_of_mortality(u,v),high)**.
% 0.67/0.84 42[0:Inp] organization(u) || greater(age(u,v),sigma) equal(age(u,w),zero) -> dissimilar(u,w,v)*.
% 0.67/0.84 43[0:Inp] organization(u) || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 0.67/0.84 44[0:Inp] organization(u) || is_aligned(u,v) positional_advantage(u,v) -> has_immunity(u,v) equal(hazard_of_mortality(u,v),low)**.
% 0.67/0.84 45[0:MRR:43.0,13.1] || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 0.67/0.84 47[0:Res:2.0,44.0] || positional_advantage(skc4,u) is_aligned(skc4,u) -> equal(hazard_of_mortality(skc4,u),low)** has_immunity(skc4,u).
% 0.67/0.84 50[0:Res:2.0,39.0] || -> is_aligned(skc4,u) positional_advantage(skc4,u) equal(hazard_of_mortality(skc4,u),high)** has_immunity(skc4,u).
% 0.67/0.84 51[0:Res:2.0,35.0] || is_aligned(skc4,u) -> is_aligned(skc4,v) dissimilar(skc4,u,v)*.
% 0.67/0.84 55[0:Res:2.0,21.0] || has_immunity(skc4,u)* -> has_endowment(skc4).
% 0.67/0.84 56[0:Res:1.0,33.0] || positional_advantage(skc4,u) greater(age(skc4,u),sigma)*l -> .
% 0.67/0.84 57[0:Res:1.0,29.0] || smaller_or_equal(age(skc4,u),sigma)* -> positional_advantage(skc4,u).
% 0.67/0.84 59[0:Res:12.0,45.0] || dissimilar(skc4,skc5,u)* -> greater(age(skc4,u),sigma).
% 0.67/0.84 61[0:Res:12.0,28.1] organization(skc4) || -> is_aligned(skc4,skc5)*.
% 0.67/0.84 66[0:Res:11.0,29.1] fragile_position(skc4) || -> positional_advantage(skc4,skc6)*.
% 0.67/0.84 70[0:Res:4.0,19.0] || -> smaller(zero,sigma)*.
% 0.67/0.84 73[0:Res:10.0,42.2] organization(skc4) || equal(age(skc4,u),zero) -> dissimilar(skc4,u,skc7)*.
% 0.67/0.84 82[0:MRR:55.1,3.0] || has_immunity(skc4,u)* -> .
% 0.67/0.84 83[0:MRR:61.0,2.0] || -> is_aligned(skc4,skc5)*.
% 0.67/0.84 84[0:MRR:66.0,1.0] || -> positional_advantage(skc4,skc6)*.
% 0.67/0.84 86[0:MRR:73.0,2.0] || equal(age(skc4,u),zero) -> dissimilar(skc4,u,skc7)*.
% 0.67/0.84 87[0:MRR:50.3,82.0] || -> positional_advantage(skc4,u) is_aligned(skc4,u) equal(hazard_of_mortality(skc4,u),high)**.
% 0.67/0.84 90[0:MRR:47.3,82.0] || is_aligned(skc4,u) positional_advantage(skc4,u) -> equal(hazard_of_mortality(skc4,u),low)**.
% 0.67/0.84 94[0:Res:12.0,86.0] || -> dissimilar(skc4,skc5,skc7)*.
% 0.67/0.84 100[0:Res:70.0,14.0] || -> smaller_or_equal(zero,sigma)*.
% 0.67/0.84 103[0:SpL:12.0,57.0] || smaller_or_equal(zero,sigma) -> positional_advantage(skc4,skc5)*.
% 0.67/0.84 106[0:MRR:103.0,100.0] || -> positional_advantage(skc4,skc5)*.
% 0.67/0.84 144[0:Res:94.0,32.2] || is_aligned(skc4,skc7)* is_aligned(skc4,skc5) -> .
% 0.67/0.84 148[0:MRR:144.1,83.0] || is_aligned(skc4,skc7)* -> .
% 0.67/0.84 198[0:Res:51.2,59.0] || is_aligned(skc4,skc5) -> is_aligned(skc4,u) greater(age(skc4,u),sigma)*l.
% 0.67/0.84 203[0:MRR:198.0,83.0] || -> is_aligned(skc4,u) greater(age(skc4,u),sigma)*l.
% 0.67/0.84 209[0:Res:203.1,56.1] || positional_advantage(skc4,u)* -> is_aligned(skc4,u).
% 0.67/0.84 217[0:MRR:87.0,209.0] || -> is_aligned(skc4,u) equal(hazard_of_mortality(skc4,u),high)**.
% 0.67/0.84 218[0:MRR:90.0,209.1] || positional_advantage(skc4,u) -> equal(hazard_of_mortality(skc4,u),low)**.
% 0.67/0.84 404[0:SpL:217.1,38.1] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5)) greater(high,hazard_of_mortality(skc4,skc6))*r -> is_aligned(skc4,skc7).
% 0.67/0.84 411[0:MRR:404.2,148.0] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5)) greater(high,hazard_of_mortality(skc4,skc6))*r -> .
% 0.67/0.84 951[0:CRe:27.0,8.0] || greater(mod2,u)*+ -> greater(high,u)*.
% 0.67/0.84 1047[0:Res:9.0,951.0] || -> greater(high,low)*l.
% 0.67/0.84 3835[0:SpL:218.1,411.1] || positional_advantage(skc4,skc6) equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5))** greater(high,low) -> .
% 0.67/0.84 3846[0:Rew:218.1,3835.1] || positional_advantage(skc4,skc6) equal(hazard_of_mortality(skc4,skc5),low)** greater(high,low) -> .
% 0.67/0.84 3847[0:MRR:3846.0,3846.2,84.0,1047.0] || equal(hazard_of_mortality(skc4,skc5),low)** -> .
% 0.67/0.84 3851[0:SpL:44.4,3847.0] organization(skc4) || is_aligned(skc4,skc5) positional_advantage(skc4,skc5) equal(low,low) -> has_immunity(skc4,skc5)*.
% 0.67/0.84 3858[0:Obv:3851.3] organization(skc4) || is_aligned(skc4,skc5) positional_advantage(skc4,skc5) -> has_immunity(skc4,skc5)*.
% 0.67/0.84 3859[0:SSi:3858.0,1.0,2.0] || is_aligned(skc4,skc5) positional_advantage(skc4,skc5) -> has_immunity(skc4,skc5)*.
% 0.67/0.84 3860[0:MRR:3859.0,3859.1,3859.2,209.1,106.0,82.0] || -> .
% 0.67/0.84 % SZS output end Refutation
% 0.67/0.84 Formulae used in the proof : theorem_7 assumption_18d assumption_18e definition_2 definition_smaller_or_equal definition_smaller assumption_1 meaning_postulate_greater_transitive assumption_13 definition_3 assumption_17 assumption_15
% 0.67/0.84
%------------------------------------------------------------------------------