TSTP Solution File: SWV034+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n010.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 : Wed Jul 20 21:41:03 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 04:35:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.53  
% 0.21/0.53  SPASS V 3.9 
% 0.21/0.53  SPASS beiseite: Proof found.
% 0.21/0.53  % SZS status Theorem
% 0.21/0.53  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.53  SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 173 clauses.
% 0.21/0.53  SPASS allocated 85869 KBytes.
% 0.21/0.53  SPASS spent	0:00:00.17 on the problem.
% 0.21/0.53  		0:00:00.04 for the input.
% 0.21/0.53  		0:00:00.09 for the FLOTTER CNF translation.
% 0.21/0.53  		0:00:00.00 for inferences.
% 0.21/0.53  		0:00:00.00 for the backtracking.
% 0.21/0.53  		0:00:00.02 for the reduction.
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  Here is a proof with depth 0, length 40 :
% 0.21/0.53  % SZS output start Refutation
% 0.21/0.53  1[0:Inp] ||  -> SkC0*.
% 0.21/0.53  2[0:Inp] ||  -> SkC1*.
% 0.21/0.53  3[0:Inp] ||  -> SkC2*.
% 0.21/0.53  4[0:Inp] ||  -> SkC3*.
% 0.21/0.53  11[0:Inp] ||  -> equal(init,s_best7_init)**.
% 0.21/0.53  12[0:Inp] ||  -> equal(init,s_sworst7_init)**.
% 0.21/0.53  13[0:Inp] ||  -> equal(init,s_worst7_init)**.
% 0.21/0.53  14[0:Inp] ||  -> leq(n0,s_best7)*r.
% 0.21/0.53  15[0:Inp] ||  -> leq(n0,s_sworst7)*r.
% 0.21/0.53  16[0:Inp] ||  -> leq(n0,s_worst7)*r.
% 0.21/0.53  17[0:Inp] ||  -> leq(n0,pv19)*r.
% 0.21/0.53  18[0:Inp] ||  -> leq(s_best7,n3)*r.
% 0.21/0.53  19[0:Inp] ||  -> leq(s_sworst7,n3)*r.
% 0.21/0.53  20[0:Inp] ||  -> leq(s_worst7,n3)*r.
% 0.21/0.53  55[0:Inp] ||  -> leq(pv19,minus(n410,n1))*r.
% 0.21/0.53  80[0:Inp] ||  -> equal(minus(u,n1),pred(u))**.
% 0.21/0.53  82[0:Inp] || gt(loopcounter,n1) -> equal(init,pvar1400_init)**.
% 0.21/0.53  83[0:Inp] || gt(loopcounter,n1) -> equal(init,pvar1401_init)**.
% 0.21/0.53  84[0:Inp] || gt(loopcounter,n1) -> equal(init,pvar1402_init)**.
% 0.21/0.53  168[0:Inp] || equal(init,init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,minus(n410,n1))*r SkC0 SkC1 SkC2 SkC3 -> gt(loopcounter,n1).
% 0.21/0.53  169[0:Inp] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,minus(n410,n1))*r SkC0 SkC1 SkC2 SkC3 -> .
% 0.21/0.53  170[0:Rew:13.0,12.0] ||  -> equal(s_worst7_init,s_sworst7_init)**.
% 0.21/0.53  171[0:Rew:170.0,13.0] ||  -> equal(init,s_sworst7_init)**.
% 0.21/0.53  172[0:Rew:11.0,171.0] ||  -> equal(s_sworst7_init,s_best7_init)**.
% 0.21/0.53  173[0:Rew:172.0,170.0] ||  -> equal(s_worst7_init,s_best7_init)**.
% 0.21/0.53  187[0:Rew:80.0,55.0] ||  -> leq(pv19,pred(n410))*r.
% 0.21/0.53  188[0:Rew:11.0,84.1] || gt(loopcounter,n1) -> equal(pvar1402_init,s_best7_init)**.
% 0.21/0.53  189[0:Rew:11.0,83.1] || gt(loopcounter,n1) -> equal(pvar1401_init,s_best7_init)**.
% 0.21/0.53  190[0:Rew:11.0,82.1] || gt(loopcounter,n1) -> equal(pvar1400_init,s_best7_init)**.
% 0.21/0.53  199[0:Obv:168.0] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,minus(n410,n1))*r SkC0 SkC1 SkC2 SkC3 -> gt(loopcounter,n1).
% 0.21/0.53  200[0:Rew:80.0,199.10,11.0,199.2,173.0,199.2,11.0,199.1,172.0,199.1,11.0,199.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,pred(n410))*r SkC0 SkC1 SkC2 SkC3 -> gt(loopcounter,n1).
% 0.21/0.53  201[0:Obv:200.2] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,pred(n410))*r SkC0 SkC1 SkC2 SkC3 -> gt(loopcounter,n1).
% 0.21/0.53  202[0:MRR:201.0,201.1,201.2,201.3,201.4,201.5,201.6,201.7,201.8,201.9,201.10,201.11,14.0,15.0,16.0,17.0,18.0,19.0,20.0,187.0,1.0,2.0,3.0,4.0] ||  -> gt(loopcounter,n1)*l.
% 0.21/0.53  203[0:MRR:188.0,202.0] ||  -> equal(pvar1402_init,s_best7_init)**.
% 0.21/0.53  204[0:MRR:189.0,202.0] ||  -> equal(pvar1401_init,s_best7_init)**.
% 0.21/0.53  205[0:MRR:190.0,202.0] ||  -> equal(pvar1400_init,s_best7_init)**.
% 0.21/0.53  206[0:Obv:169.3] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,minus(n410,n1))*r SkC0 SkC1 SkC2 SkC3 -> .
% 0.21/0.53  207[0:Rew:80.0,206.13,11.0,206.5,173.0,206.5,11.0,206.4,172.0,206.4,11.0,206.3,11.0,206.2,203.0,206.2,11.0,206.1,204.0,206.1,11.0,206.0,205.0,206.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,pred(n410))*r SkC0 SkC1 SkC2 SkC3 -> .
% 0.21/0.53  208[0:Obv:207.5] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(n0,pv19) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) leq(pv19,pred(n410))*r SkC0 SkC1 SkC2 SkC3 -> .
% 0.21/0.53  209[0:MRR:208.0,208.1,208.2,208.3,208.4,208.5,208.6,208.7,208.8,208.9,208.10,208.11,14.0,15.0,16.0,17.0,18.0,19.0,20.0,187.0,1.0,2.0,3.0,4.0] ||  -> .
% 0.21/0.53  % SZS output end Refutation
% 0.21/0.53  Formulae used in the proof : gauss_init_0049 gt_succ leq_succ_gt_equiv pred_minus_1
% 0.21/0.53  
%------------------------------------------------------------------------------