TSTP Solution File: COM002-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 : Fri Jul 15 01:44:10 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : Refutation 0.19s
% 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  : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 18:09:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.42  
% 0.19/0.42  SPASS V 3.9 
% 0.19/0.42  SPASS beiseite: Proof found.
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.42  SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 41 clauses.
% 0.19/0.42  SPASS allocated 63112 KBytes.
% 0.19/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.42  		0:00:00.04 for the input.
% 0.19/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42  		0:00:00.00 for inferences.
% 0.19/0.42  		0:00:00.00 for the backtracking.
% 0.19/0.42  		0:00:00.00 for the reduction.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  Here is a proof with depth 4, length 18 :
% 0.19/0.42  % SZS output start Refutation
% 0.19/0.42  1[0:Inp] || follows(u,v)* -> succeeds(u,v).
% 0.19/0.42  2[0:Inp] || succeeds(u,v)* succeeds(v,w)* -> succeeds(u,w)*.
% 0.19/0.42  3[0:Inp] || labels(u,v)* has(w,goto(u))*+ -> succeeds(v,w)*.
% 0.19/0.42  8[0:Inp] ||  -> labels(loop,p3)*.
% 0.19/0.42  13[0:Inp] ||  -> follows(p6,p3)*.
% 0.19/0.42  15[0:Inp] ||  -> follows(p7,p6)*.
% 0.19/0.42  17[0:Inp] ||  -> follows(p8,p7)*.
% 0.19/0.42  18[0:Inp] ||  -> has(p8,goto(loop))*.
% 0.19/0.42  19[0:Inp] || succeeds(p3,p3)* -> .
% 0.19/0.42  23[0:Res:17.0,1.0] ||  -> succeeds(p8,p7)*r.
% 0.19/0.42  24[0:Res:15.0,1.0] ||  -> succeeds(p7,p6)*r.
% 0.19/0.42  25[0:Res:13.0,1.0] ||  -> succeeds(p6,p3)*r.
% 0.19/0.42  30[0:NCh:2.2,2.1,25.0,19.0] || succeeds(p3,p6)*l -> .
% 0.19/0.42  31[0:Res:18.0,3.1] || labels(loop,u)* -> succeeds(u,p8).
% 0.19/0.42  34[0:Res:8.0,31.0] ||  -> succeeds(p3,p8)*l.
% 0.19/0.42  37[0:NCh:2.2,2.0,34.0,30.0] || succeeds(p8,p6)*r -> .
% 0.19/0.42  42[0:NCh:2.2,2.1,37.0,24.0] || succeeds(p8,p7)*r -> .
% 0.19/0.42  43[0:MRR:42.0,23.0] ||  -> .
% 0.19/0.42  % SZS output end Refutation
% 0.19/0.42  Formulae used in the proof : direct_success transitivity_of_success goto_success label_state_3 transition_3_to_6 transition_6_to_7 transition_7_to_8 state_8 prove_there_is_a_loop_through_p3
% 0.19/0.42  
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