TSTP Solution File: SWV046+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV046+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n005.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 21:41:05 EDT 2022

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV046+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n005.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 : Tue Jun 14 16:04:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.60/0.78  
% 0.60/0.78  SPASS V 3.9 
% 0.60/0.78  SPASS beiseite: Proof found.
% 0.60/0.78  % SZS status Theorem
% 0.60/0.78  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.60/0.78  SPASS derived 440 clauses, backtracked 203 clauses, performed 3 splits and kept 678 clauses.
% 0.60/0.78  SPASS allocated 86297 KBytes.
% 0.60/0.78  SPASS spent	0:00:00.41 on the problem.
% 0.60/0.78  		0:00:00.04 for the input.
% 0.60/0.78  		0:00:00.08 for the FLOTTER CNF translation.
% 0.60/0.78  		0:00:00.00 for inferences.
% 0.60/0.78  		0:00:00.01 for the backtracking.
% 0.60/0.78  		0:00:00.21 for the reduction.
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  Here is a proof with depth 1, length 24 :
% 0.60/0.78  % SZS output start Refutation
% 0.60/0.78  1[0:Inp] ||  -> true__dfg*.
% 0.60/0.78  2[0:Inp] ||  -> leq(n0,pv35)*l.
% 0.60/0.78  32[0:Inp] || true__dfg SkC0* -> .
% 0.60/0.78  36[0:Inp] ||  -> equal(succ(tptp_minus_1),n0)**.
% 0.60/0.78  38[0:Inp] ||  -> leq(pv35,minus(n5,n1))*r.
% 0.60/0.78  58[0:Inp] ||  -> equal(pred(succ(u)),u)**.
% 0.60/0.78  61[0:Inp] ||  -> equal(sum__dfg(n0,tptp_minus_1,u),n0)**.
% 0.60/0.78  62[0:Inp] ||  -> equal(sum__dfg(n0,tptp_minus_1,u),tptp_float_0_0)**.
% 0.60/0.78  65[0:Inp] ||  -> equal(minus(u,n1),pred(u))**.
% 0.60/0.78  92[0:Inp] ||  -> equal(a_select2(tptp_update2(u,v,w),v),w)**.
% 0.60/0.78  105[0:Inp] ||  -> equal(sum__dfg(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),pv78)**.
% 0.60/0.78  148[0:Inp] || equal(sum__dfg(n0,minus(n0,n1),times(minus(a_select2(x__dfg,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x__dfg,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))),n0)** equal(sum__dfg(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),pv78) leq(n0,pv35) leq(pv35,minus(n5,n1)) -> SkC0.
% 0.60/0.78  149[0:MRR:32.0,1.0] || SkC0* -> .
% 0.60/0.78  152[0:Rew:62.0,61.0] ||  -> equal(tptp_float_0_0,n0)**.
% 0.60/0.78  153[0:Rew:152.0,62.0] ||  -> equal(sum__dfg(n0,tptp_minus_1,u),n0)**.
% 0.60/0.78  164[0:Rew:65.0,38.0] ||  -> leq(pv35,pred(n5))*r.
% 0.60/0.78  165[0:Rew:65.0,105.0] ||  -> equal(sum__dfg(n0,pred(n135300),a_select3(q,pv79,pv35)),pv78)**.
% 0.60/0.78  167[0:Rew:65.0,148.3,165.0,148.1,65.0,148.1,65.0,148.0,92.0,148.0] || equal(sum__dfg(n0,pred(n0),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35)))),n0)** equal(pv78,pv78) leq(n0,pv35) leq(pv35,pred(n5)) -> SkC0.
% 0.60/0.78  168[0:Obv:167.1] || equal(sum__dfg(n0,pred(n0),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35)))),n0)** leq(n0,pv35) leq(pv35,pred(n5)) -> SkC0.
% 0.60/0.78  169[0:MRR:168.1,168.2,168.3,2.0,164.0,149.0] || equal(sum__dfg(n0,pred(n0),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35)))),n0)** -> .
% 0.60/0.78  826[0:SpR:36.0,58.0] ||  -> equal(pred(n0),tptp_minus_1)**.
% 0.60/0.78  828[0:Rew:826.0,169.0] || equal(sum__dfg(n0,tptp_minus_1,times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),times(minus(a_select2(x__dfg,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35)))),n0)** -> .
% 0.60/0.78  829[0:Rew:153.0,828.0] || equal(n0,n0)* -> .
% 0.60/0.78  830[0:Obv:829.0] ||  -> .
% 0.60/0.78  % SZS output end Refutation
% 0.60/0.78  Formulae used in the proof : ttrue cl5_nebula_norm_0010 succ_tptp_minus_1 pred_succ sum_plus_base sum_plus_base_float pred_minus_1 sel2_update_1
% 0.60/0.78  
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