TSTP Solution File: KRS082+1 by SPASS---3.9

View Problem - Process Solution

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% File     : SPASS---3.9
% Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 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 03:30:30 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % 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 : Tue Jun  7 18:26:50 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 53 clauses, backtracked 0 clauses, performed 0 splits and kept 67 clauses.
% 0.18/0.45  SPASS allocated 97878 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.01 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 6, length 24 :
% 0.18/0.45  % SZS output start Refutation
% 0.18/0.45  2[0:Inp] ||  -> cUnsatisfiable(i2003_11_14_17_19_28752)*.
% 0.18/0.45  10[0:Inp] ||  -> rp(skf8(u),skf9(u))*l.
% 0.18/0.45  11[0:Inp] cUnsatisfiable(u) ||  -> ca(u)*.
% 0.18/0.45  16[0:Inp] cUnsatisfiable(u) ||  -> rs(u,skf8(u))*.
% 0.18/0.45  18[0:Inp] || rp(u,v) -> rinvP(v,u)*.
% 0.18/0.45  20[0:Inp] || rr(u,v) -> rinvR(v,u)*.
% 0.18/0.45  22[0:Inp] || rs(u,v) -> rinvS(v,u)*.
% 0.18/0.45  26[0:Inp] cUnsatisfiable(u) || rp(skf8(u),v)*+ -> rr(v,skf10(v))*.
% 0.18/0.45  28[0:Inp] cUnsatisfiable(u) || rr(v,w)* rp(skf8(u),v)*+ -> cc(w).
% 0.18/0.45  29[0:Inp] ca(u) cc(v) || rinvR(v,w)*+ rinvS(x,u)* rinvP(w,x)* -> .
% 0.18/0.45  47[0:Res:10.0,26.1] cUnsatisfiable(u) ||  -> rr(skf9(u),skf10(skf9(u)))*.
% 0.18/0.45  52[0:Res:20.1,29.2] ca(u) cc(v) || rr(w,v)*+ rinvS(x,u)* rinvP(w,x)* -> .
% 0.18/0.45  55[0:Res:47.1,52.2] cUnsatisfiable(u) ca(v) cc(skf10(skf9(u))) || rinvS(w,v)* rinvP(skf9(u),w)* -> .
% 0.18/0.45  57[0:Res:10.0,28.2] cUnsatisfiable(u) || rr(skf9(u),v)* -> cc(v).
% 0.18/0.45  60[0:Res:47.1,57.1] cUnsatisfiable(u) cUnsatisfiable(u) ||  -> cc(skf10(skf9(u)))*.
% 0.18/0.45  61[0:Obv:60.0] cUnsatisfiable(u) ||  -> cc(skf10(skf9(u)))*.
% 0.18/0.45  62[0:MRR:55.2,61.1] cUnsatisfiable(u) ca(v) || rinvS(w,v)* rinvP(skf9(u),w)*+ -> .
% 0.18/0.45  64[0:Res:18.1,62.3] cUnsatisfiable(u) ca(v) || rp(w,skf9(u))*+ rinvS(w,v)* -> .
% 0.18/0.45  95[0:Res:10.0,64.2] cUnsatisfiable(u) ca(v) || rinvS(skf8(u),v)* -> .
% 0.18/0.45  97[0:Res:22.1,95.2] cUnsatisfiable(u) ca(v) || rs(v,skf8(u))* -> .
% 0.18/0.45  98[0:Res:16.1,97.2] cUnsatisfiable(u) cUnsatisfiable(u) ca(u) ||  -> .
% 0.18/0.45  99[0:Obv:98.0] cUnsatisfiable(u) ca(u) ||  -> .
% 0.18/0.45  100[0:SSi:99.1,11.1] cUnsatisfiable(u) ||  -> .
% 0.18/0.45  101[0:UnC:100.0,2.0] ||  -> .
% 0.18/0.45  % SZS output end Refutation
% 0.18/0.45  Formulae used in the proof : axiom_9 axiom_2 axiom_5 axiom_0 axiom_3 axiom_6 axiom_7 axiom_4
% 0.18/0.45  
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