TSTP Solution File: SEU240+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 : Tue Jul 19 14:35:25 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 01:35:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.50
% 0.18/0.50 SPASS V 3.9
% 0.18/0.50 SPASS beiseite: Proof found.
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 SPASS derived 346 clauses, backtracked 51 clauses, performed 2 splits and kept 205 clauses.
% 0.18/0.50 SPASS allocated 98138 KBytes.
% 0.18/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.18/0.50 0:00:00.04 for the input.
% 0.18/0.50 0:00:00.06 for the FLOTTER CNF translation.
% 0.18/0.50 0:00:00.01 for inferences.
% 0.18/0.50 0:00:00.00 for the backtracking.
% 0.18/0.50 0:00:00.02 for the reduction.
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Here is a proof with depth 3, length 48 :
% 0.18/0.50 % SZS output start Refutation
% 0.18/0.50 1[0:Inp] || -> relation(skc9)*.
% 0.18/0.50 25[0:Inp] || transitive(skc9) -> in(ordered_pair(skc12,skc11),skc9)*.
% 0.18/0.50 26[0:Inp] || transitive(skc9) -> in(ordered_pair(skc11,skc10),skc9)*.
% 0.18/0.50 28[0:Inp] || transitive(skc9) in(ordered_pair(skc12,skc10),skc9)* -> .
% 0.18/0.50 31[0:Inp] relation(u) transitive(u) || -> is_transitive_in(u,relation_field(u))*.
% 0.18/0.50 32[0:Inp] relation(u) || is_transitive_in(u,relation_field(u))* -> transitive(u).
% 0.18/0.50 39[0:Inp] relation(u) || in(ordered_pair(v,w),u)* -> in(v,relation_field(u)).
% 0.18/0.50 40[0:Inp] relation(u) || in(ordered_pair(v,w),u)* -> in(w,relation_field(u)).
% 0.18/0.50 41[0:Inp] relation(u) || -> is_transitive_in(u,v) in(ordered_pair(skf6(v,u),skf5(v,u)),u)*.
% 0.18/0.50 42[0:Inp] relation(u) || -> is_transitive_in(u,v) in(ordered_pair(skf5(v,u),skf4(v,u)),u)*.
% 0.18/0.50 43[0:Inp] relation(u) || in(ordered_pair(skf6(v,u),skf4(v,u)),u)* -> is_transitive_in(u,v).
% 0.18/0.50 44[0:Inp] || in(ordered_pair(u,v),skc9)*+ in(ordered_pair(w,u),skc9)* -> transitive(skc9) in(ordered_pair(w,v),skc9)*.
% 0.18/0.50 45[0:Inp] relation(u) || is_transitive_in(u,v)* in(w,v)* in(x,v)* in(y,v)* in(ordered_pair(x,w),u)*+ in(ordered_pair(y,x),u)* -> in(ordered_pair(y,w),u)*.
% 0.18/0.50 49[0:Res:1.0,43.0] || in(ordered_pair(skf6(u,skc9),skf4(u,skc9)),skc9)* -> is_transitive_in(skc9,u).
% 0.18/0.50 51[0:Res:1.0,42.0] || -> is_transitive_in(skc9,u) in(ordered_pair(skf5(u,skc9),skf4(u,skc9)),skc9)*.
% 0.18/0.50 52[0:Res:1.0,39.0] || in(ordered_pair(u,v),skc9)* -> in(u,relation_field(skc9)).
% 0.18/0.50 53[0:Res:1.0,40.0] || in(ordered_pair(u,v),skc9)* -> in(v,relation_field(skc9)).
% 0.18/0.50 60[0:Res:1.0,32.0] || is_transitive_in(skc9,relation_field(skc9))* -> transitive(skc9).
% 0.18/0.50 61[1:Spt:44.0,44.1,44.3] || in(ordered_pair(u,v),skc9)*+ in(ordered_pair(w,u),skc9)* -> in(ordered_pair(w,v),skc9)*.
% 0.18/0.50 62[2:Spt:26.0] || transitive(skc9)* -> .
% 0.18/0.50 63[2:MRR:60.1,62.0] || is_transitive_in(skc9,relation_field(skc9))* -> .
% 0.18/0.50 167[1:Res:51.1,61.0] || in(ordered_pair(u,skf5(v,skc9)),skc9)* -> is_transitive_in(skc9,v) in(ordered_pair(u,skf4(v,skc9)),skc9).
% 0.18/0.50 321[1:Res:41.2,167.0] relation(skc9) || -> is_transitive_in(skc9,u) is_transitive_in(skc9,u) in(ordered_pair(skf6(u,skc9),skf4(u,skc9)),skc9)*.
% 0.18/0.50 325[1:Obv:321.1] relation(skc9) || -> is_transitive_in(skc9,u) in(ordered_pair(skf6(u,skc9),skf4(u,skc9)),skc9)*.
% 0.18/0.50 326[1:SSi:325.0,1.0] || -> is_transitive_in(skc9,u) in(ordered_pair(skf6(u,skc9),skf4(u,skc9)),skc9)*.
% 0.18/0.50 327[1:MRR:326.1,49.0] || -> is_transitive_in(skc9,u)*.
% 0.18/0.50 328[2:UnC:327.0,63.0] || -> .
% 0.18/0.50 329[2:Spt:328.0,26.0,62.0] || -> transitive(skc9)*.
% 0.18/0.50 330[2:Spt:328.0,26.1] || -> in(ordered_pair(skc11,skc10),skc9)*.
% 0.18/0.50 331[2:MRR:25.0,329.0] || -> in(ordered_pair(skc12,skc11),skc9)*.
% 0.18/0.50 332[2:MRR:28.0,329.0] || in(ordered_pair(skc12,skc10),skc9)* -> .
% 0.18/0.50 337[2:Res:330.0,61.0] || in(ordered_pair(u,skc11),skc9)* -> in(ordered_pair(u,skc10),skc9).
% 0.18/0.50 358[2:Res:331.0,337.0] || -> in(ordered_pair(skc12,skc10),skc9)*.
% 0.18/0.50 359[2:MRR:358.0,332.0] || -> .
% 0.18/0.50 360[1:Spt:359.0,44.2] || -> transitive(skc9)*.
% 0.18/0.50 362[1:MRR:25.0,360.0] || -> in(ordered_pair(skc12,skc11),skc9)*.
% 0.18/0.50 363[1:MRR:26.0,360.0] || -> in(ordered_pair(skc11,skc10),skc9)*.
% 0.18/0.50 364[1:MRR:28.0,360.0] || in(ordered_pair(skc12,skc10),skc9)* -> .
% 0.18/0.50 366[1:Res:362.0,52.0] || -> in(skc12,relation_field(skc9))*.
% 0.18/0.50 367[1:Res:362.0,53.0] || -> in(skc11,relation_field(skc9))*.
% 0.18/0.50 379[1:Res:363.0,53.0] || -> in(skc10,relation_field(skc9))*.
% 0.18/0.50 383[1:Res:363.0,45.5] relation(skc9) || is_transitive_in(skc9,u)* in(skc10,u) in(skc11,u) in(v,u)* in(ordered_pair(v,skc11),skc9)* -> in(ordered_pair(v,skc10),skc9).
% 0.18/0.50 385[1:SSi:383.0,1.0,360.0] || is_transitive_in(skc9,u)* in(skc10,u) in(skc11,u) in(v,u)* in(ordered_pair(v,skc11),skc9)*+ -> in(ordered_pair(v,skc10),skc9).
% 0.18/0.50 473[1:Res:362.0,385.4] || is_transitive_in(skc9,u)* in(skc10,u) in(skc11,u) in(skc12,u) -> in(ordered_pair(skc12,skc10),skc9)*.
% 0.18/0.50 474[1:MRR:473.4,364.0] || is_transitive_in(skc9,u)* in(skc10,u) in(skc11,u) in(skc12,u) -> .
% 0.18/0.50 475[1:Res:31.2,474.0] relation(skc9) transitive(skc9) || in(skc10,relation_field(skc9)) in(skc11,relation_field(skc9)) in(skc12,relation_field(skc9))* -> .
% 0.18/0.50 481[1:SSi:475.1,475.0,1.0,360.0,1.0,360.0] || in(skc10,relation_field(skc9)) in(skc11,relation_field(skc9)) in(skc12,relation_field(skc9))* -> .
% 0.18/0.50 482[1:MRR:481.0,481.1,481.2,379.0,367.0,366.0] || -> .
% 0.18/0.50 % SZS output end Refutation
% 0.18/0.50 Formulae used in the proof : l2_wellord1 d16_relat_2 t30_relat_1 d8_relat_2
% 0.18/0.50
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