TSTP Solution File: SYO634-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 : Thu Jul 21 19:55:11 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n023.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 : Sat Jul  9 07:13:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.42  
% 0.20/0.42  SPASS V 3.9 
% 0.20/0.42  SPASS beiseite: Proof found.
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.42  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses.
% 0.20/0.42  SPASS allocated 63209 KBytes.
% 0.20/0.42  SPASS spent	0:00:00.07 on the problem.
% 0.20/0.42  		0:00:00.04 for the input.
% 0.20/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42  		0:00:00.00 for inferences.
% 0.20/0.42  		0:00:00.00 for the backtracking.
% 0.20/0.42  		0:00:00.01 for the reduction.
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Here is a proof with depth 0, length 26 :
% 0.20/0.42  % SZS output start Refutation
% 0.20/0.42  1[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(v),s(s(s(s(s(s(s(s(s(s(0)))))))))))* -> E(f(v),s(s(s(s(s(s(s(s(0))))))))).
% 0.20/0.42  3[0:Inp] ||  -> E(f(u),s(s(s(s(s(s(s(s(s(s(0)))))))))))*.
% 0.20/0.42  6[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(v),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(w),s(s(s(s(s(s(s(s(0)))))))))* E(f(x),s(s(s(s(s(s(s(0))))))))* -> E(f(v),s(s(s(s(s(s(0))))))).
% 0.20/0.42  9[0:Inp] ||  -> E(f(u),s(s(s(s(s(s(s(s(s(0))))))))))*.
% 0.20/0.42  11[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(x),s(s(s(s(0)))))* E(f(y),s(s(0)))* E(f(z),s(s(s(s(s(s(s(0))))))))* E(f(x1),s(s(s(0))))* E(f(x2),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(x3),s(s(s(s(s(s(0)))))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),x4)),s(0))*.
% 0.20/0.42  12[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(x),s(s(s(s(s(s(s(0))))))))* E(f(y),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(z),s(s(s(s(s(s(0)))))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),x1)),s(s(s(s(0)))))*.
% 0.20/0.42  14[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(v),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(w),s(s(s(s(s(s(s(s(0)))))))))* -> E(f(v),s(s(s(s(s(s(s(0)))))))).
% 0.20/0.42  15[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(x),s(s(s(s(0)))))* E(f(y),s(s(s(s(s(s(s(0))))))))* E(f(z),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(x1),s(s(s(s(s(s(0)))))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),x2)),s(s(s(0))))*.
% 0.20/0.42  17[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(0))* E(f(x),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(y),s(s(s(s(0)))))* E(f(z),s(s(0)))* E(f(x1),s(s(s(s(s(s(s(0))))))))* E(f(x2),s(s(s(0))))* E(f(x3),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(x4),s(s(s(s(s(s(0)))))))* E(f(x5),0)* -> .
% 0.20/0.42  19[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(x),s(s(s(s(0)))))* E(f(y),s(s(s(s(s(s(s(0))))))))* E(f(z),s(s(s(0))))* E(f(x1),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(x2),s(s(s(s(s(s(0)))))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),x3)),s(s(0)))*.
% 0.20/0.42  20[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(w),s(s(s(s(s(s(s(0))))))))* E(f(x),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(y),s(s(s(s(s(s(0)))))))* -> E(f(v),s(s(s(s(s(0)))))).
% 0.20/0.42  22[0:Inp] || E(f(u),s(s(s(s(s(s(s(s(0)))))))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(0))* E(f(x),s(s(s(s(s(s(s(s(s(s(0)))))))))))* E(f(y),s(s(s(s(0)))))* E(f(z),s(s(0)))* E(f(x1),s(s(s(s(s(s(s(0))))))))* E(f(x2),s(s(s(0))))* E(f(x3),s(s(s(s(s(s(s(s(s(0))))))))))* E(f(x4),s(s(s(s(s(s(0)))))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),x5)),0)*.
% 0.20/0.42  24[0:MRR:1.0,1.1,9.0,3.0] ||  -> E(f(u),s(s(s(s(s(s(s(s(0)))))))))*.
% 0.20/0.42  26[0:MRR:14.0,14.1,14.2,9.0,3.0,24.0] ||  -> E(f(u),s(s(s(s(s(s(s(0))))))))*.
% 0.20/0.42  28[0:MRR:6.0,6.1,6.2,6.3,9.0,3.0,24.0,26.0] ||  -> E(f(u),s(s(s(s(s(s(0)))))))*.
% 0.20/0.42  30[0:MRR:20.0,20.1,20.2,20.3,20.4,24.0,3.0,26.0,9.0,28.0] ||  -> E(f(u),s(s(s(s(s(0))))))*.
% 0.20/0.42  32[0:MRR:12.0,12.1,12.2,12.3,12.4,12.5,24.0,30.0,3.0,26.0,9.0,28.0] ||  -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),u)),s(s(s(s(0)))))*.
% 0.20/0.42  34[0:MRR:15.0,15.1,15.2,15.4,15.5,15.6,24.0,30.0,3.0,26.0,9.0,28.0] || E(f(u),s(s(s(s(0)))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),v)),s(s(s(0))))*.
% 0.20/0.42  36[0:MRR:17.0,17.1,17.3,17.6,17.8,17.9,24.0,30.0,3.0,26.0,9.0,28.0] || E(f(u),s(0))* E(f(v),s(s(s(s(0)))))* E(f(w),s(s(0)))* E(f(x),s(s(s(0))))* E(f(y),0)* -> .
% 0.20/0.42  37[0:MRR:19.0,19.1,19.2,19.4,19.6,19.7,24.0,30.0,3.0,26.0,9.0,28.0] || E(f(u),s(s(s(s(0)))))* E(f(v),s(s(s(0))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),w)),s(s(0)))*.
% 0.20/0.42  39[0:MRR:11.0,11.1,11.2,11.5,11.7,11.8,24.0,30.0,3.0,26.0,9.0,28.0] || E(f(u),s(s(s(s(0)))))* E(f(v),s(s(0)))* E(f(w),s(s(s(0))))* -> E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),x)),s(0))*.
% 0.20/0.42  41[0:MRR:22.0,22.1,22.3,22.6,22.8,22.9,22.10,24.0,30.0,3.0,26.0,9.0,28.0,36.4] || E(f(u),s(0))* E(f(v),s(s(s(s(0)))))* E(f(w),s(s(0)))* E(f(x),s(s(s(0))))* -> .
% 0.20/0.42  42[0:MRR:39.3,41.0] || E(f(u),s(s(s(s(0)))))* E(f(v),s(s(0)))* E(f(w),s(s(s(0))))* -> .
% 0.20/0.42  43[0:MRR:37.2,42.1] || E(f(u),s(s(s(0))))* E(f(v),s(s(s(s(0)))))* -> .
% 0.20/0.42  44[0:MRR:34.1,43.1] || E(f(u),s(s(s(s(0)))))* -> .
% 0.20/0.42  45[0:UnC:44.0,32.0] ||  -> .
% 0.20/0.42  % SZS output end Refutation
% 0.20/0.42  Formulae used in the proof : clause_21_01 clause_11_03 clause_1_06 clause_17_09 clause_8_11 clause_9_12 clause_12_14 clause_18_15 clause_3_17 clause_0_19 clause_15_20 clause_10_22
% 0.20/0.42  
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