TSTP Solution File: SEU119+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU119+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 14:34:03 EDT 2022
% Result : Theorem 0.46s 0.66s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU119+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.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 : Sat Jun 18 23:58:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.66
% 0.46/0.66 SPASS V 3.9
% 0.46/0.66 SPASS beiseite: Proof found.
% 0.46/0.66 % SZS status Theorem
% 0.46/0.66 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.66 SPASS derived 1472 clauses, backtracked 84 clauses, performed 3 splits and kept 619 clauses.
% 0.46/0.66 SPASS allocated 86271 KBytes.
% 0.46/0.66 SPASS spent 0:00:00.31 on the problem.
% 0.46/0.66 0:00:00.04 for the input.
% 0.46/0.66 0:00:00.04 for the FLOTTER CNF translation.
% 0.46/0.66 0:00:00.02 for inferences.
% 0.46/0.66 0:00:00.00 for the backtracking.
% 0.46/0.66 0:00:00.19 for the reduction.
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66 Here is a proof with depth 8, length 52 :
% 0.46/0.66 % SZS output start Refutation
% 0.46/0.66 3[0:Inp] || -> disjoint(skc10,skc9)*.
% 0.46/0.66 5[0:Inp] || -> equal(set_intersection2(u,u),u)**.
% 0.46/0.66 6[0:Inp] || -> SkP0(skc7,skc8) in(skc11,skc10)*.
% 0.46/0.66 7[0:Inp] || -> SkP0(skc7,skc8) in(skc11,skc9)*.
% 0.46/0.66 8[0:Inp] || -> equal(set_intersection2(u,v),set_intersection2(v,u))*.
% 0.46/0.66 9[0:Inp] || -> equal(u,empty_set) in(skf2(u),u)*.
% 0.46/0.66 11[0:Inp] || SkP0(u,v) disjoint(v,u)* -> .
% 0.46/0.66 13[0:Inp] || in(u,v)* equal(v,empty_set) -> .
% 0.46/0.66 14[0:Inp] || disjoint(u,v) -> equal(set_intersection2(u,v),empty_set)**.
% 0.46/0.66 15[0:Inp] || equal(set_intersection2(u,v),empty_set)** -> disjoint(u,v).
% 0.46/0.66 16[0:Inp] || SkP0(u,v)*+ in(w,u)* in(w,v)* -> .
% 0.46/0.66 18[0:Inp] || in(u,v)* equal(v,set_intersection2(w,x))*+ -> in(u,x)*.
% 0.46/0.66 19[0:Inp] || in(u,v)* in(u,w)* equal(x,set_intersection2(w,v))*+ -> in(u,x)*.
% 0.46/0.66 23[0:Res:3.0,14.0] || -> equal(set_intersection2(skc10,skc9),empty_set)**.
% 0.46/0.66 27[0:Rew:8.0,23.0] || -> equal(set_intersection2(skc9,skc10),empty_set)**.
% 0.46/0.66 55[0:SpL:8.0,15.0] || equal(set_intersection2(u,v),empty_set)** -> disjoint(v,u).
% 0.46/0.66 84[0:EqR:18.1] || in(u,set_intersection2(v,w))* -> in(u,w).
% 0.46/0.66 85[0:SpL:5.0,18.1] || in(u,v)*+ equal(v,w)* -> in(u,w)*.
% 0.46/0.66 97[0:Res:9.1,84.0] || -> equal(set_intersection2(u,v),empty_set) in(skf2(set_intersection2(u,v)),v)*.
% 0.46/0.66 120[0:EqR:19.2] || in(u,v) in(u,w) -> in(u,set_intersection2(w,v))*.
% 0.46/0.66 138[0:SpR:8.0,97.1] || -> equal(set_intersection2(u,v),empty_set) in(skf2(set_intersection2(v,u)),v)*.
% 0.46/0.66 330[0:Res:7.1,85.0] || equal(skc9,u) -> SkP0(skc7,skc8) in(skc11,u)*.
% 0.46/0.66 331[0:Res:6.1,85.0] || equal(skc10,u) -> SkP0(skc7,skc8) in(skc11,u)*.
% 0.46/0.66 414[1:Spt:330.0,330.2] || equal(skc9,u) -> in(skc11,u)*.
% 0.46/0.66 488[2:Spt:331.0,331.2] || equal(skc10,u) -> in(skc11,u)*.
% 0.46/0.66 507[0:SpR:27.0,120.2] || in(u,skc10)* in(u,skc9) -> in(u,empty_set).
% 0.46/0.66 697[2:Res:488.1,507.0] || equal(skc10,skc10) in(skc11,skc9)* -> in(skc11,empty_set).
% 0.46/0.66 711[2:Obv:697.0] || in(skc11,skc9)* -> in(skc11,empty_set).
% 0.46/0.66 730[2:Res:414.1,711.0] || equal(skc9,skc9) -> in(skc11,empty_set)*.
% 0.46/0.66 731[2:Obv:730.0] || -> in(skc11,empty_set)*.
% 0.46/0.66 734[2:Res:731.0,13.0] || equal(empty_set,empty_set)* -> .
% 0.46/0.66 738[2:Obv:734.0] || -> .
% 0.46/0.66 739[2:Spt:738.0,331.1] || -> SkP0(skc7,skc8)*.
% 0.46/0.66 742[2:Res:739.0,16.0] || in(u,skc7) in(u,skc8)* -> .
% 0.46/0.66 803[2:Res:97.1,742.1] || in(skf2(set_intersection2(u,skc8)),skc7)* -> equal(set_intersection2(u,skc8),empty_set).
% 0.46/0.66 1142[2:Res:138.1,803.0] || -> equal(set_intersection2(skc8,skc7),empty_set)** equal(set_intersection2(skc7,skc8),empty_set).
% 0.46/0.66 1145[2:Rew:8.0,1142.0] || -> equal(set_intersection2(skc7,skc8),empty_set)** equal(set_intersection2(skc7,skc8),empty_set)**.
% 0.46/0.66 1146[2:Obv:1145.0] || -> equal(set_intersection2(skc7,skc8),empty_set)**.
% 0.46/0.66 1159[2:SpL:1146.0,55.0] || equal(empty_set,empty_set) -> disjoint(skc8,skc7)*.
% 0.46/0.66 1170[2:Obv:1159.0] || -> disjoint(skc8,skc7)*.
% 0.46/0.66 1177[2:Res:1170.0,11.1] || SkP0(skc7,skc8)* -> .
% 0.46/0.66 1178[2:MRR:1177.0,739.0] || -> .
% 0.46/0.66 1179[1:Spt:1178.0,330.1] || -> SkP0(skc7,skc8)*.
% 0.46/0.66 1183[1:Res:1179.0,16.0] || in(u,skc7) in(u,skc8)* -> .
% 0.46/0.66 1204[1:Res:97.1,1183.1] || in(skf2(set_intersection2(u,skc8)),skc7)* -> equal(set_intersection2(u,skc8),empty_set).
% 0.46/0.66 1710[1:Res:138.1,1204.0] || -> equal(set_intersection2(skc8,skc7),empty_set)** equal(set_intersection2(skc7,skc8),empty_set).
% 0.46/0.66 1714[1:Rew:8.0,1710.0] || -> equal(set_intersection2(skc7,skc8),empty_set)** equal(set_intersection2(skc7,skc8),empty_set)**.
% 0.46/0.66 1715[1:Obv:1714.0] || -> equal(set_intersection2(skc7,skc8),empty_set)**.
% 0.46/0.66 1778[1:SpL:1715.0,55.0] || equal(empty_set,empty_set) -> disjoint(skc8,skc7)*.
% 0.46/0.66 1788[1:Obv:1778.0] || -> disjoint(skc8,skc7)*.
% 0.46/0.66 1797[1:Res:1788.0,11.1] || SkP0(skc7,skc8)* -> .
% 0.46/0.66 1798[1:MRR:1797.0,1179.0] || -> .
% 0.46/0.66 % SZS output end Refutation
% 0.46/0.66 Formulae used in the proof : t3_xboole_0 d1_xboole_0 idempotence_k3_xboole_0 d3_xboole_0 d7_xboole_0 commutativity_k3_xboole_0
% 0.46/0.66
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