TSTP Solution File: SWV451+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV451+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Wed Jul 20 21:43:08 EDT 2022
% Result : Theorem 23.34s 23.55s
% Output : Refutation 23.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV451+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n022.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 : Wed Jun 15 18:26:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 23.34/23.55
% 23.34/23.55 SPASS V 3.9
% 23.34/23.55 SPASS beiseite: Proof found.
% 23.34/23.55 % SZS status Theorem
% 23.34/23.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.34/23.55 SPASS derived 22116 clauses, backtracked 375 clauses, performed 10 splits and kept 10194 clauses.
% 23.34/23.55 SPASS allocated 113078 KBytes.
% 23.34/23.55 SPASS spent 0:0:23.08 on the problem.
% 23.34/23.55 0:00:00.03 for the input.
% 23.34/23.55 0:00:00.05 for the FLOTTER CNF translation.
% 23.34/23.55 0:00:00.26 for inferences.
% 23.34/23.55 0:00:00.55 for the backtracking.
% 23.34/23.55 0:0:22.06 for the reduction.
% 23.34/23.55
% 23.34/23.55
% 23.34/23.55 Here is a proof with depth 4, length 47 :
% 23.34/23.55 % SZS output start Refutation
% 23.34/23.55 2[0:Inp] || -> setIn(skc7,alive)*.
% 23.34/23.55 4[0:Inp] || -> elem(m_Down(skc13),skc9)*.
% 23.34/23.55 21[0:Inp] || -> equal(host(skc13),host(skc10))**.
% 23.34/23.55 22[0:Inp] || -> equal(host(skc12),host(skc11))**.
% 23.34/23.55 23[0:Inp] || -> equal(host(skc11),host(skc7))**.
% 23.34/23.55 26[0:Inp] || -> equal(host(skc8),host(skc7))**.
% 23.34/23.55 32[0:Inp] || -> equal(skc8,skc10) setIn(skc10,alive)*.
% 23.34/23.55 33[0:Inp] || -> equal(skc8,skc11) setIn(skc11,alive)*.
% 23.34/23.55 36[0:Inp] || equal(host(skc10),host(skc7))** -> .
% 23.34/23.55 39[0:Inp] || equal(m_Down(u),m_Halt(v))* -> .
% 23.34/23.55 56[0:Inp] || equal(skc11,skc7) -> equal(skc8,skc11)**.
% 23.34/23.55 73[0:Inp] || -> elem(m_Down(skc12),snoc(queue(host(skc10)),m_Halt(skc8)))*.
% 23.34/23.55 86[0:Inp] || elem(u,v) -> elem(u,cons(w,v))*.
% 23.34/23.55 97[0:Inp] || -> equal(cons(m_NotNorm(index(elid,host(skc7))),skc9),queue(host(skc7)))**.
% 23.34/23.55 107[0:Inp] || elem(u,snoc(v,w))* -> elem(u,v) equal(u,w).
% 23.34/23.55 120[0:Inp] || setIn(u,alive)* setIn(v,alive)* equal(host(u),host(v))*+ -> equal(u,v).
% 23.34/23.55 125[0:Inp] || setIn(u,alive) setIn(v,alive) equal(host(w),host(u))* equal(host(x),host(v))* elem(m_Down(x),queue(host(u)))*+ elem(m_Down(w),queue(host(v)))* -> equal(host(u),host(v))*.
% 23.34/23.55 127[0:Rew:23.0,22.0] || -> equal(host(skc12),host(skc7))**.
% 23.34/23.55 143[0:Res:4.0,86.0] || -> elem(m_Down(skc13),cons(u,skc9))*.
% 23.34/23.55 196[0:Res:23.0,120.0] || setIn(skc7,alive) setIn(skc11,alive)* -> equal(skc11,skc7).
% 23.34/23.55 315[0:Res:125.6,36.0] || setIn(skc10,alive) equal(host(u),host(skc10)) elem(m_Down(v),queue(host(skc10)))* elem(m_Down(u),queue(host(skc7)))* equal(host(v),host(skc7)) setIn(skc7,alive) -> .
% 23.34/23.55 362[0:Res:73.0,107.0] || -> equal(m_Halt(skc8),m_Down(skc12)) elem(m_Down(skc12),queue(host(skc10)))*.
% 23.34/23.55 429[0:MRR:196.0,2.0] || setIn(skc11,alive)* -> equal(skc11,skc7).
% 23.34/23.55 453[0:MRR:315.5,2.0] || setIn(skc10,alive) equal(host(u),host(skc7)) equal(host(v),host(skc10)) elem(m_Down(v),queue(host(skc7)))* elem(m_Down(u),queue(host(skc10)))* -> .
% 23.34/23.55 454[1:Spt:32.0] || -> equal(skc8,skc10)**.
% 23.34/23.55 466[1:Rew:454.0,26.0] || -> equal(host(skc10),host(skc7))**.
% 23.34/23.55 472[1:MRR:466.0,36.0] || -> .
% 23.34/23.55 483[1:Spt:472.0,32.0,454.0] || equal(skc8,skc10)** -> .
% 23.34/23.55 484[1:Spt:472.0,32.1] || -> setIn(skc10,alive)*.
% 23.34/23.55 488[1:MRR:453.0,484.0] || equal(host(u),host(skc7)) equal(host(v),host(skc10)) elem(m_Down(v),queue(host(skc7)))*+ elem(m_Down(u),queue(host(skc10)))* -> .
% 23.34/23.55 490[2:Spt:33.0] || -> equal(skc8,skc11)**.
% 23.34/23.55 504[2:Rew:490.0,362.0] || -> equal(m_Halt(skc11),m_Down(skc12)) elem(m_Down(skc12),queue(host(skc10)))*.
% 23.34/23.55 814[0:SpR:97.0,143.0] || -> elem(m_Down(skc13),queue(host(skc7)))*.
% 23.34/23.55 1087[3:Spt:504.0] || -> equal(m_Halt(skc11),m_Down(skc12))**.
% 23.34/23.55 1088[3:UnC:1087.0,39.0] || -> .
% 23.34/23.55 1089[3:Spt:1088.0,504.0,1087.0] || equal(m_Halt(skc11),m_Down(skc12))** -> .
% 23.34/23.55 1090[3:Spt:1088.0,504.1] || -> elem(m_Down(skc12),queue(host(skc10)))*.
% 23.34/23.55 19136[1:Res:814.0,488.2] || equal(host(u),host(skc7)) equal(host(skc13),host(skc10)) elem(m_Down(u),queue(host(skc10)))* -> .
% 23.34/23.55 19141[1:Rew:21.0,19136.1] || equal(host(u),host(skc7)) equal(host(skc10),host(skc10)) elem(m_Down(u),queue(host(skc10)))* -> .
% 23.34/23.55 19142[1:Obv:19141.1] || equal(host(u),host(skc7)) elem(m_Down(u),queue(host(skc10)))* -> .
% 23.34/23.55 24151[3:Res:1090.0,19142.1] || equal(host(skc12),host(skc7))** -> .
% 23.34/23.55 24153[3:Rew:127.0,24151.0] || equal(host(skc7),host(skc7))* -> .
% 23.34/23.55 24154[3:Obv:24153.0] || -> .
% 23.34/23.55 24155[2:Spt:24154.0,33.0,490.0] || equal(skc8,skc11)** -> .
% 23.34/23.55 24156[2:Spt:24154.0,33.1] || -> setIn(skc11,alive)*.
% 23.34/23.55 24157[2:MRR:56.1,24155.0] || equal(skc11,skc7)** -> .
% 23.34/23.55 24158[2:MRR:429.0,429.1,24156.0,24157.0] || -> .
% 23.34/23.55 % SZS output end Refutation
% 23.34/23.55 Formulae used in the proof : conj axiom_17 axiom_46 axiom_47
% 23.34/23.55
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