TSTP Solution File: KRS117+1 by SPASS---3.9

View Problem - Process Solution

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% File     : SPASS---3.9
% Problem  : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 03:30:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n021.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 : Tue Jun  7 06:02:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46  SPASS V 3.9 
% 0.20/0.46  SPASS beiseite: Proof found.
% 0.20/0.46  % SZS status Theorem
% 0.20/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.46  SPASS derived 59 clauses, backtracked 0 clauses, performed 0 splits and kept 58 clauses.
% 0.20/0.46  SPASS allocated 97906 KBytes.
% 0.20/0.46  SPASS spent	0:00:00.10 on the problem.
% 0.20/0.46  		0:00:00.04 for the input.
% 0.20/0.46  		0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.46  		0:00:00.00 for inferences.
% 0.20/0.46  		0:00:00.00 for the backtracking.
% 0.20/0.46  		0:00:00.00 for the reduction.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Here is a proof with depth 5, length 30 :
% 0.20/0.46  % SZS output start Refutation
% 0.20/0.46  1[0:Inp] ||  -> cowlThing(u)*.
% 0.20/0.46  2[0:Inp] ||  -> cUnsatisfiable(i2003_11_14_17_21_37349)*.
% 0.20/0.46  4[0:Inp] ||  -> cd(skf6(u))*.
% 0.20/0.46  5[0:Inp] ||  -> ccxcomp(skf10(u))*.
% 0.20/0.46  6[0:Inp] ||  -> cd(skf11(u))*.
% 0.20/0.46  9[0:Inp] cd(u) ||  -> cc(u)*.
% 0.20/0.46  13[0:Inp] cUnsatisfiable(u) ||  -> rinvF(u,skf6(u))*.
% 0.20/0.46  14[0:Inp] cc(u) || ra_Px1(u,v)* -> .
% 0.20/0.46  15[0:Inp] ccxcomp(u) ||  -> ra_Px1(u,skf9(u))*.
% 0.20/0.46  16[0:Inp] cd(u) ||  -> rf(u,skf10(u))*.
% 0.20/0.46  17[0:Inp] ca_Vx3(u) ||  -> rinvF(u,skf11(u))*.
% 0.20/0.46  18[0:Inp] || rinvF(u,v)* -> rf(v,u).
% 0.20/0.46  21[0:Inp] || rr(u,v) -> rinvR(v,u)*.
% 0.20/0.46  22[0:Inp] || rf(u,v)* -> rr(u,v).
% 0.20/0.46  23[0:Inp] cUnsatisfiable(u) || rinvR(u,v)* -> ca_Vx3(v).
% 0.20/0.46  27[0:Inp] cowlThing(u) || rf(u,v)* rf(u,w)* -> equal(v,w)*.
% 0.20/0.46  30[0:MRR:27.0,1.0] || rf(u,v)*+ rf(u,w)* -> equal(w,v)*.
% 0.20/0.46  34[0:Res:15.1,14.1] ccxcomp(u) cc(u) ||  -> .
% 0.20/0.46  38[0:Res:17.1,18.0] ca_Vx3(u) ||  -> rf(skf11(u),u)*.
% 0.20/0.46  39[0:Res:13.1,18.0] cUnsatisfiable(u) ||  -> rf(skf6(u),u)*.
% 0.20/0.46  49[0:Res:16.1,30.0] cd(u) || rf(u,v)* -> equal(v,skf10(u)).
% 0.20/0.46  53[0:Res:38.1,49.1] ca_Vx3(u) cd(skf11(u)) ||  -> equal(skf10(skf11(u)),u)**.
% 0.20/0.46  55[0:SSi:53.1,6.0] ca_Vx3(u) ||  -> equal(skf10(skf11(u)),u)**.
% 0.20/0.46  57[0:SpR:55.1,5.0] ca_Vx3(u) ||  -> ccxcomp(u)*.
% 0.20/0.46  61[0:EmS:34.0,34.1,57.1,9.1] ca_Vx3(u) cd(u) ||  -> .
% 0.20/0.46  70[0:Res:39.1,22.0] cUnsatisfiable(u) ||  -> rr(skf6(u),u)*l.
% 0.20/0.46  78[0:Res:21.1,23.1] cUnsatisfiable(u) || rr(v,u)*+ -> ca_Vx3(v)*.
% 0.20/0.46  82[0:EmS:61.0,61.1,78.2,4.0] cUnsatisfiable(u) || rr(skf6(v),u)* -> .
% 0.20/0.46  96[0:MRR:70.1,82.1] cUnsatisfiable(u) ||  -> .
% 0.20/0.46  97[0:UnC:96.0,2.0] ||  -> .
% 0.20/0.46  % SZS output end Refutation
% 0.20/0.46  Formulae used in the proof : axiom_0 axiom_11 axiom_2 axiom_5 axiom_8 axiom_4 axiom_6 axiom_3 axiom_9 axiom_12 axiom_7
% 0.20/0.46  
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