TSTP Solution File: LCL686+1.005 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 14:39:16 EDT 2022

% Result   : Theorem 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jul  4 10:43:35 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.47  
% 0.17/0.47  SPASS V 3.9 
% 0.17/0.47  SPASS beiseite: Proof found.
% 0.17/0.47  % SZS status Theorem
% 0.17/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.47  SPASS derived 179 clauses, backtracked 0 clauses, performed 0 splits and kept 150 clauses.
% 0.17/0.47  SPASS allocated 97869 KBytes.
% 0.17/0.47  SPASS spent	0:00:00.13 on the problem.
% 0.17/0.47  		0:00:00.04 for the input.
% 0.17/0.47  		0:00:00.04 for the FLOTTER CNF translation.
% 0.17/0.47  		0:00:00.00 for inferences.
% 0.17/0.47  		0:00:00.00 for the backtracking.
% 0.17/0.47  		0:00:00.02 for the reduction.
% 0.17/0.47  
% 0.17/0.47  
% 0.17/0.47  Here is a proof with depth 11, length 35 :
% 0.17/0.47  % SZS output start Refutation
% 0.17/0.47  7[0:Inp] ||  -> r1(u,skf29(u))*r.
% 0.17/0.47  9[0:Inp] ||  -> r1(u,skf15(u))*r.
% 0.17/0.47  10[0:Inp] ||  -> r1(skf25(u),skf26(u))*l.
% 0.17/0.47  11[0:Inp] ||  -> r1(skf24(u),skf25(u))*l.
% 0.17/0.47  12[0:Inp] ||  -> r1(skf23(u),skf24(u))*l.
% 0.17/0.47  13[0:Inp] ||  -> r1(skf22(u),skf23(u))*l.
% 0.17/0.47  14[0:Inp] ||  -> r1(skf21(u),skf22(u))*l.
% 0.17/0.47  15[0:Inp] ||  -> r1(skf20(u),skf21(u))*l.
% 0.17/0.47  16[0:Inp] ||  -> r1(skf19(u),skf20(u))*l.
% 0.17/0.47  17[0:Inp] ||  -> r1(skf18(u),skf19(u))*l.
% 0.17/0.47  18[0:Inp] ||  -> r1(skf17(u),skf18(u))*l.
% 0.17/0.47  19[0:Inp] ||  -> r1(skf16(u),skf17(u))*l.
% 0.17/0.47  20[0:Inp] ||  -> r1(skf15(u),skf16(u))*l.
% 0.17/0.47  35[0:Inp] || r1(skc7,u) -> p2(skf29(u))* p1(skf29(u)).
% 0.17/0.47  36[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*.
% 0.17/0.47  49[0:Inp] || p1(skf29(u)) p2(skf29(u))* r1(skc7,u) -> .
% 0.17/0.47  50[0:Inp] p2(u) || r1(v,u)*+ r1(skc7,v)* -> p1(u)*.
% 0.17/0.47  51[0:Inp] p1(u) || r1(v,u)*+ r1(skc7,v)* -> p2(u)*.
% 0.17/0.47  130[0:OCh:36.1,36.0,20.0,9.0] ||  -> r1(u,skf16(u))*r.
% 0.17/0.47  131[0:OCh:36.1,36.0,19.0,130.0] ||  -> r1(u,skf17(u))*r.
% 0.17/0.47  132[0:OCh:36.1,36.0,18.0,131.0] ||  -> r1(u,skf18(u))*r.
% 0.17/0.47  133[0:OCh:36.1,36.0,132.0,17.0] ||  -> r1(u,skf19(u))*r.
% 0.17/0.47  134[0:OCh:36.1,36.0,16.0,133.0] ||  -> r1(u,skf20(u))*r.
% 0.17/0.47  135[0:OCh:36.1,36.0,15.0,134.0] ||  -> r1(u,skf21(u))*r.
% 0.17/0.47  136[0:OCh:36.1,36.0,14.0,135.0] ||  -> r1(u,skf22(u))*r.
% 0.17/0.47  137[0:OCh:36.1,36.0,13.0,136.0] ||  -> r1(u,skf23(u))*r.
% 0.17/0.47  138[0:OCh:36.1,36.0,137.0,12.0] ||  -> r1(u,skf24(u))*r.
% 0.17/0.47  139[0:OCh:36.1,36.0,11.0,138.0] ||  -> r1(u,skf25(u))*r.
% 0.17/0.47  140[0:OCh:36.1,36.0,10.0,139.0] ||  -> r1(u,skf26(u))*r.
% 0.17/0.47  196[0:Res:7.0,50.1] p2(skf29(u)) || r1(skc7,u) -> p1(skf29(u))*.
% 0.17/0.47  249[0:MRR:196.0,35.1] || r1(skc7,u) -> p1(skf29(u))*.
% 0.17/0.47  250[0:MRR:49.0,249.1] || p2(skf29(u))* r1(skc7,u) -> .
% 0.17/0.47  273[0:Res:7.0,51.1] p1(skf29(u)) || r1(skc7,u) -> p2(skf29(u))*.
% 0.17/0.47  327[0:MRR:273.0,273.2,249.1,250.0] || r1(skc7,u)* -> .
% 0.17/0.47  328[0:UnC:327.0,140.0] ||  -> .
% 0.17/0.47  % SZS output end Refutation
% 0.17/0.47  Formulae used in the proof : main reflexivity transitivity
% 0.17/0.47  
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