%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n010.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 06:19:58 AM UTC 2026 % Result : Theorem 0.23s 0.54s % Output : Refutation 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : run_spass %d %s % 0.11/0.35 % Computer : n010.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 % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Mon Sep 7 13:33:41 UTC 2026 % 0.11/0.36 % CPUTime : % 0.23/0.54 % 0.23/0.54 SPASS V 3.9 % 0.23/0.54 SPASS beiseite: Proof found. % 0.23/0.54 % SZS status Theorem % 0.23/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.54 SPASS derived 138 clauses, backtracked 87 clauses, performed 8 splits and kept 221 clauses. % 0.23/0.54 SPASS allocated 97680 KBytes. % 0.23/0.54 SPASS spent 0:00:00.16 on the problem. % 0.23/0.54 0:00:00.06 for the input. % 0.23/0.54 0:00:00.04 for the FLOTTER CNF translation. % 0.23/0.54 0:00:00.00 for inferences. % 0.23/0.54 0:00:00.00 for the backtracking. % 0.23/0.54 0:00:00.01 for the reduction. % 0.23/0.54 % 0.23/0.54 % 0.23/0.54 Here is a proof with depth 2, length 71 : % 0.23/0.54 % SZS output start Refutation % 0.23/0.54 1[0:Inp] || -> organization(skc3)*. % 0.23/0.54 2[0:Inp] || -> has_immunity(skc3,skc5)*. % 0.23/0.54 3[0:Inp] || -> greater(high,mod1)*l. % 0.23/0.54 4[0:Inp] || -> greater(mod1,low)*l. % 0.23/0.54 5[0:Inp] || -> greater(low,very_low)*l. % 0.23/0.54 6[0:Inp] || -> greater(high,mod2)*l. % 0.23/0.54 7[0:Inp] || -> greater(mod2,low)*l. % 0.23/0.54 8[0:Inp] || has_immunity(skc3,skc4)* -> . % 0.23/0.54 15[0:Inp] || greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))*r -> . % 0.23/0.54 17[0:Inp] || -> greater(u,v) equal(u,v) smaller(u,v)*. % 0.23/0.54 20[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*. % 0.23/0.54 21[0:Inp] organization(u) || has_immunity(u,v) -> equal(hazard_of_mortality(u,v),very_low)**. % 0.23/0.54 22[0:Inp] organization(u) || -> has_immunity(u,v) positional_advantage(u,v) is_aligned(u,v) equal(hazard_of_mortality(u,v),high)**. % 0.23/0.54 23[0:Inp] organization(u) || positional_advantage(u,v) -> has_immunity(u,v) is_aligned(u,v) equal(hazard_of_mortality(u,v),mod1)**. % 0.23/0.54 24[0:Inp] organization(u) || is_aligned(u,v) -> has_immunity(u,v) positional_advantage(u,v) equal(hazard_of_mortality(u,v),mod2)**. % 0.23/0.54 25[0:Inp] organization(u) || is_aligned(u,v) positional_advantage(u,v) -> has_immunity(u,v) equal(hazard_of_mortality(u,v),low)**. % 0.23/0.54 31[0:Res:2.0,21.1] organization(skc3) || -> equal(hazard_of_mortality(skc3,skc5),very_low)**. % 0.23/0.54 32[0:Res:25.4,8.0] organization(skc3) || positional_advantage(skc3,skc4) is_aligned(skc3,skc4) -> equal(hazard_of_mortality(skc3,skc4),low)**. % 0.23/0.54 33[0:Res:23.4,8.0] organization(skc3) || positional_advantage(skc3,skc4) -> is_aligned(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),mod1)**. % 0.23/0.54 34[0:Res:24.4,8.0] organization(skc3) || is_aligned(skc3,skc4) -> positional_advantage(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),mod2)**. % 0.23/0.54 35[0:Res:22.4,8.0] organization(skc3) || -> is_aligned(skc3,skc4) positional_advantage(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),high)**. % 0.23/0.54 37[0:Res:17.2,15.0] || -> smaller(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))* equal(hazard_of_mortality(skc3,skc5),hazard_of_mortality(skc3,skc4)). % 0.23/0.54 39[0:MRR:31.0,1.0] || -> equal(hazard_of_mortality(skc3,skc5),very_low)**. % 0.23/0.54 40[0:Rew:39.0,15.0] || greater(hazard_of_mortality(skc3,skc4),very_low)*l -> . % 0.23/0.54 42[0:MRR:35.0,1.0] || -> positional_advantage(skc3,skc4) is_aligned(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),high)**. % 0.23/0.54 43[0:Rew:39.0,37.1,39.0,37.0] || -> equal(hazard_of_mortality(skc3,skc4),very_low) smaller(hazard_of_mortality(skc3,skc4),very_low)*. % 0.23/0.54 44[0:MRR:33.0,1.0] || positional_advantage(skc3,skc4) -> is_aligned(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),mod1)**. % 0.23/0.54 45[0:MRR:34.0,1.0] || is_aligned(skc3,skc4) -> positional_advantage(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),mod2)**. % 0.23/0.54 47[0:MRR:32.0,1.0] || is_aligned(skc3,skc4) positional_advantage(skc3,skc4) -> equal(hazard_of_mortality(skc3,skc4),low)**. % 0.23/0.54 53[1:Spt:45.2] || -> equal(hazard_of_mortality(skc3,skc4),mod2)**. % 0.23/0.54 58[1:Rew:53.0,40.0] || greater(mod2,very_low)*l -> . % 0.23/0.54 88[1:NCh:20.2,20.0,58.0,7.0] || greater(low,very_low)*l -> . % 0.23/0.54 90[1:MRR:88.0,5.0] || -> . % 0.23/0.54 91[1:Spt:90.0,45.2,53.0] || equal(hazard_of_mortality(skc3,skc4),mod2)** -> . % 0.23/0.54 92[1:Spt:90.0,45.0,45.1] || is_aligned(skc3,skc4) -> positional_advantage(skc3,skc4)*. % 0.23/0.54 93[1:MRR:42.1,92.0] || -> positional_advantage(skc3,skc4) equal(hazard_of_mortality(skc3,skc4),high)**. % 0.23/0.54 94[1:MRR:47.1,92.1] || is_aligned(skc3,skc4) -> equal(hazard_of_mortality(skc3,skc4),low)**. % 0.23/0.54 95[2:Spt:44.2] || -> equal(hazard_of_mortality(skc3,skc4),mod1)**. % 0.23/0.54 100[2:Rew:95.0,40.0] || greater(mod1,very_low)*l -> . % 0.23/0.54 137[2:NCh:20.2,20.0,100.0,4.0] || greater(low,very_low)*l -> . % 0.23/0.54 139[2:MRR:137.0,5.0] || -> . % 0.23/0.54 140[2:Spt:139.0,44.2,95.0] || equal(hazard_of_mortality(skc3,skc4),mod1)** -> . % 0.23/0.54 141[2:Spt:139.0,44.0,44.1] || positional_advantage(skc3,skc4)* -> is_aligned(skc3,skc4). % 0.23/0.54 143[3:Spt:43.0] || -> equal(hazard_of_mortality(skc3,skc4),very_low)**. % 0.23/0.54 147[3:Rew:143.0,93.1] || -> positional_advantage(skc3,skc4)* equal(high,very_low). % 0.23/0.54 148[3:Rew:143.0,94.1] || is_aligned(skc3,skc4)* -> equal(low,very_low). % 0.23/0.54 149[3:Rew:143.0,40.0] || greater(very_low,very_low)* -> . % 0.23/0.54 151[4:Spt:147.0] || -> positional_advantage(skc3,skc4)*. % 0.23/0.54 152[4:MRR:141.0,151.0] || -> is_aligned(skc3,skc4)*. % 0.23/0.54 153[4:MRR:148.0,152.0] || -> equal(low,very_low)**. % 0.23/0.54 154[4:Rew:153.0,5.0] || -> greater(very_low,very_low)*. % 0.23/0.54 159[4:MRR:154.0,149.0] || -> . % 0.23/0.54 162[4:Spt:159.0,147.0,151.0] || positional_advantage(skc3,skc4)* -> . % 0.23/0.54 163[4:Spt:159.0,147.1] || -> equal(high,very_low)**. % 0.23/0.54 164[4:Rew:163.0,6.0] || -> greater(very_low,mod2)*r. % 0.23/0.54 172[4:OCh:20.1,20.0,164.0,7.0] || -> greater(very_low,low)*r. % 0.23/0.54 174[4:OCh:20.1,20.0,172.0,5.0] || -> greater(very_low,very_low)*. % 0.23/0.54 175[4:MRR:174.0,149.0] || -> . % 0.23/0.54 176[3:Spt:175.0,43.0,143.0] || equal(hazard_of_mortality(skc3,skc4),very_low)** -> . % 0.23/0.54 177[3:Spt:175.0,43.1] || -> smaller(hazard_of_mortality(skc3,skc4),very_low)*. % 0.23/0.54 182[4:Spt:93.1] || -> equal(hazard_of_mortality(skc3,skc4),high)**. % 0.23/0.54 191[4:Rew:182.0,40.0] || greater(high,very_low)*l -> . % 0.23/0.54 195[4:NCh:20.2,20.0,191.0,3.0] || greater(mod1,very_low)*l -> . % 0.23/0.54 199[4:NCh:20.2,20.0,195.0,4.0] || greater(low,very_low)*l -> . % 0.23/0.54 201[4:MRR:199.0,5.0] || -> . % 0.23/0.54 202[4:Spt:201.0,93.1,182.0] || equal(hazard_of_mortality(skc3,skc4),high)** -> . % 0.23/0.54 203[4:Spt:201.0,93.0] || -> positional_advantage(skc3,skc4)*. % 0.23/0.54 204[4:MRR:141.0,203.0] || -> is_aligned(skc3,skc4)*. % 0.23/0.54 205[4:MRR:94.0,204.0] || -> equal(hazard_of_mortality(skc3,skc4),low)**. % 0.23/0.54 214[4:Rew:205.0,40.0] || greater(low,very_low)*l -> . % 0.23/0.54 215[4:MRR:214.0,5.0] || -> . % 0.23/0.54 % SZS output end Refutation % 0.23/0.54 Formulae used in the proof : assumption_3 assumption_18a assumption_18b assumption_18c assumption_18d assumption_18e meaning_postulate_greater_comparable meaning_postulate_greater_transitive assumption_17 % 0.23/0.54 %------------------------------------------------------------------------------