TSTP Solution File: NUN062+1 by SPASS---3.9

View Problem - Process Solution

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% File     : SPASS---3.9
% Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 : Mon Jul 18 16:38:43 EDT 2022

% Result   : Theorem 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
% 0.11/0.12  % Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  2 04:30:19 EDT 2022
% 0.12/0.33  % 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 74 clauses, backtracked 0 clauses, performed 0 splits and kept 107 clauses.
% 0.18/0.45  SPASS allocated 97829 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.03 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  		0:00:00.00 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 3, length 21 :
% 0.18/0.45  % SZS output start Refutation
% 0.18/0.45  5[0:Inp] ||  -> id__dfg(u,skf20(u))*r.
% 0.18/0.45  14[0:Inp] ||  -> r3(u,v,skf27(v,u))*.
% 0.18/0.45  24[0:Inp] r1(u) || SkP4(u,v)* -> .
% 0.18/0.45  25[0:Inp] ||  -> r2(skf27(u,v),skf24(v,u))*.
% 0.18/0.45  36[0:Inp] || id__dfg(u,v) -> r1(u) SkP4(v,u)*.
% 0.18/0.45  41[0:Inp] || r2(u,v) SkP5(w,x,v,u)* -> .
% 0.18/0.45  44[0:Inp] r1(u) || r2(v,w)* id__dfg(u,w)* -> .
% 0.18/0.45  45[0:Inp] || id__dfg(u,v)* r3(skc2,w,u)* -> r1(skf20(w)).
% 0.18/0.45  56[0:Inp] || id__dfg(u,v) id__dfg(w,x) -> r2(x,v) SkP5(v,x,u,w)*.
% 0.18/0.45  70[0:Res:5.0,44.1] r1(u) || r2(v,skf20(u))* -> .
% 0.18/0.45  71[0:Res:5.0,36.0] ||  -> r1(u) SkP4(skf20(u),u)*.
% 0.18/0.45  77[0:Res:5.0,56.1] || id__dfg(u,v) -> r2(v,skf20(w)) SkP5(skf20(w),v,w,u)*.
% 0.18/0.45  91[0:Res:14.0,45.1] || id__dfg(skf27(u,skc2),v)* -> r1(skf20(u)).
% 0.18/0.45  105[0:Res:5.0,77.0] ||  -> r2(skf20(u),skf20(v)) SkP5(skf20(v),skf20(u),v,u)*.
% 0.18/0.45  121[0:Res:5.0,91.0] ||  -> r1(skf20(u))*.
% 0.18/0.45  133[0:Res:71.1,24.1] r1(skf20(u)) ||  -> r1(u)*.
% 0.18/0.45  134[0:SSi:133.0,121.0] ||  -> r1(u)*.
% 0.18/0.45  138[0:MRR:70.0,134.0] || r2(u,skf20(v))* -> .
% 0.18/0.45  141[0:MRR:105.0,138.0] ||  -> SkP5(skf20(u),skf20(v),u,v)*.
% 0.18/0.45  147[0:Res:141.0,41.1] || r2(u,v)* -> .
% 0.18/0.45  148[0:UnC:147.0,25.0] ||  -> .
% 0.18/0.45  % SZS output end Refutation
% 0.18/0.45  Formulae used in the proof : infiniteNumbersid axiom_5 axiom_6 axiom_1a axiom_8 axiom_9 axiom_7a
% 0.18/0.45  
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