TSTP Solution File: SYN415+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 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 12:21:12 EDT 2022

% Result   : Theorem 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n023.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 : Tue Jul 12 04:42:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  
% 0.19/0.43  SPASS V 3.9 
% 0.19/0.43  SPASS beiseite: Proof found.
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 66 clauses, backtracked 29 clauses, performed 4 splits and kept 53 clauses.
% 0.19/0.43  SPASS allocated 103846 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.43  		0:00:00.04 for the input.
% 0.19/0.43  		0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.43  		0:00:00.00 for inferences.
% 0.19/0.43  		0:00:00.00 for the backtracking.
% 0.19/0.43  		0:00:00.00 for the reduction.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Here is a proof with depth 3, length 38 :
% 0.19/0.43  % SZS output start Refutation
% 0.19/0.43  1[0:Inp] ||  -> f(skc7)*.
% 0.19/0.43  2[0:Inp] ||  -> f(skc6)*.
% 0.19/0.43  3[0:Inp] ||  -> f(skc4)*.
% 0.19/0.43  4[0:Inp] ||  -> f(skf1(u))*.
% 0.19/0.43  6[0:Inp] f(u) ||  -> SkC0* equal(skc4,u)*.
% 0.19/0.43  7[0:Inp] f(u) || equal(skc7,skc6) -> SkC0*.
% 0.19/0.43  8[0:Inp] f(u) || SkC0 equal(skf1(u),u)** -> .
% 0.19/0.43  9[0:Inp] f(u) f(v) || SkC0*+ -> equal(v,u)*.
% 0.19/0.43  15[1:Spt:9.0,9.1,9.3] f(u) f(v) ||  -> equal(v,u)*.
% 0.19/0.43  16[2:Spt:6.0,6.2] f(u) ||  -> equal(skc4,u)*.
% 0.19/0.43  17[3:Spt:8.0,8.2] f(u) || equal(skf1(u),u)** -> .
% 0.19/0.43  19[1:EmS:15.0,3.0] f(u) ||  -> equal(u,skc4)*.
% 0.19/0.43  23[2:EmS:16.0,2.0] ||  -> equal(skc6,skc4)**.
% 0.19/0.43  30[2:EmS:16.0,1.0] ||  -> equal(skc7,skc4)**.
% 0.19/0.43  47[2:EmS:16.0,4.0] ||  -> equal(skf1(u),skc4)**.
% 0.19/0.43  50[3:Rew:47.0,17.1] f(u) || equal(skc4,u)* -> .
% 0.19/0.43  58[3:EmS:50.0,3.0] || equal(skc4,skc4)* -> .
% 0.19/0.43  59[3:Obv:58.0] ||  -> .
% 0.19/0.43  60[3:Spt:59.0,8.1] || SkC0* -> .
% 0.19/0.43  61[2:Rew:30.0,7.1,23.0,7.1] f(u) || equal(skc4,skc4) -> SkC0*.
% 0.19/0.43  62[2:Obv:61.1] f(u) ||  -> SkC0*.
% 0.19/0.43  63[3:MRR:62.1,60.0] f(u) ||  -> .
% 0.19/0.43  64[3:UnC:63.0,3.0] ||  -> .
% 0.19/0.43  65[2:Spt:64.0,6.1] ||  -> SkC0*.
% 0.19/0.43  67[2:MRR:8.1,65.0] f(u) || equal(skf1(u),u)** -> .
% 0.19/0.43  76[1:EmS:19.0,4.0] ||  -> equal(skf1(u),skc4)**.
% 0.19/0.43  88[2:Rew:76.0,67.1] f(u) || equal(skc4,u)* -> .
% 0.19/0.43  93[2:EmS:88.0,3.0] || equal(skc4,skc4)* -> .
% 0.19/0.43  94[2:Obv:93.0] ||  -> .
% 0.19/0.43  95[1:Spt:94.0,9.2] || SkC0* -> .
% 0.19/0.43  96[1:MRR:6.1,95.0] f(u) ||  -> equal(skc4,u)*.
% 0.19/0.43  97[1:MRR:7.2,95.0] f(u) || equal(skc7,skc6)** -> .
% 0.19/0.43  99[1:EmS:96.0,2.0] ||  -> equal(skc6,skc4)**.
% 0.19/0.43  100[1:EmS:96.0,1.0] ||  -> equal(skc7,skc4)**.
% 0.19/0.43  103[1:Rew:99.0,97.1] f(u) || equal(skc7,skc4)** -> .
% 0.19/0.43  106[1:Rew:100.0,103.1] f(u) || equal(skc4,skc4)* -> .
% 0.19/0.43  107[1:Obv:106.1] f(u) ||  -> .
% 0.19/0.43  108[1:UnC:107.0,3.0] ||  -> .
% 0.19/0.43  % SZS output end Refutation
% 0.19/0.43  Formulae used in the proof : kalish317
% 0.19/0.43  
%------------------------------------------------------------------------------