TSTP Solution File: DAT027_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : DAT027_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n021.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 : Sat Jul 16 01:31:50 EDT 2022

% Result   : Theorem 0.46s 1.14s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : DAT027_1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.13  % Command  : spasst-tptp-script %s %d
% 0.13/0.34  % Computer : n021.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 : Fri Jul  1 19:41:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  % Using integer theory
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  % SZS status Theorem for /tmp/SPASST_25812_n021.cluster.edu
% 0.46/1.14  
% 0.46/1.14  SPASS V 2.2.22  in combination with yices.
% 0.46/1.14  SPASS beiseite: Proof found by SPASS.
% 0.46/1.14  Problem: /tmp/SPASST_25812_n021.cluster.edu 
% 0.46/1.14  SPASS derived 121 clauses, backtracked 16 clauses and kept 137 clauses.
% 0.46/1.14  SPASS backtracked 5 times (0 times due to theory inconsistency).
% 0.46/1.14  SPASS allocated 6323 KBytes.
% 0.46/1.14  SPASS spent	0:00:00.02 on the problem.
% 0.46/1.14  		0:00:00.00 for the input.
% 0.46/1.14  		0:00:00.00 for the FLOTTER CNF translation.
% 0.46/1.14  		0:00:00.00 for inferences.
% 0.46/1.14  		0:00:00.00 for the backtracking.
% 0.46/1.14  		0:00:00.01 for the reduction.
% 0.46/1.14  		0:00:00.00 for interacting with the SMT procedure.
% 0.46/1.14  		
% 0.46/1.14  
% 0.46/1.14  % SZS output start CNFRefutation for /tmp/SPASST_25812_n021.cluster.edu
% 0.46/1.14  
% 0.46/1.14  % Here is a proof with depth 7, length 49 :
% 0.46/1.14  3[0:Inp] ||  -> collection(skc6)*.
% 0.46/1.14  4[0:Inp] ||  -> in(skc7,skc6)*.
% 0.46/1.14  5[0:Inp] ||  -> greatereq(skc5,0)*.
% 0.46/1.14  7[0:Inp] || greater(skc8,0)* -> .
% 0.46/1.14  8[0:Inp] || collection(U) -> collection(remove(V,U))*.
% 0.46/1.14  10[0:Inp] || in(U,skc6)* -> greater(U,0).
% 0.46/1.14  14(e)[0:Inp] ||  -> in(skc8,add(plus(skc7,skc5),remove(skc7,skc6)))*.
% 0.46/1.14  15(e)[0:Inp] || collection(U) in(V,remove(W,U))* -> in(V,U).
% 0.46/1.14  20(e)[0:Inp] || collection(U) in(V,add(W,U))* -> equal(V,W) in(V,U).
% 0.46/1.14  28[0:ThA] ||  -> equal(plus(U,0),U)**.
% 0.46/1.14  33[0:ThA] ||  -> equal(U,V) less(V,U)* less(U,V)*.
% 0.46/1.14  35[0:ThA] ||  -> lesseq(U,V) less(plus(W,V),plus(W,U))*.
% 0.46/1.14  52[0:ArS:5.0] ||  -> lesseq(0,skc5)*.
% 0.46/1.14  53[0:ArS:7.0] || less(0,skc8)* -> .
% 0.46/1.14  54[0:TOC:53.0] ||  -> lesseq(skc8,0)*.
% 0.46/1.14  55[0:ArS:10.1] || in(U,skc6)* -> less(0,U).
% 0.46/1.14  59[0:Res:3.0,15.0] || in(U,remove(V,skc6))* -> in(U,skc6).
% 0.46/1.14  64[0:Res:3.0,8.0] ||  -> collection(remove(U,skc6))*.
% 0.46/1.14  66[0:Res:4.0,55.0] ||  -> less(0,skc7)*.
% 0.46/1.14  80[0:Res:14.0,20.1] || collection(remove(skc7,skc6)) -> in(skc8,remove(skc7,skc6))* equal(plus(skc7,skc5),skc8).
% 0.46/1.14  85(e)[0:MRR:80.0,64.0] ||  -> in(skc8,remove(skc7,skc6))* equal(plus(skc7,skc5),skc8).
% 0.46/1.14  89(e)[0:OCE:52.0,33.1] ||  -> equal(skc5,0) less(0,skc5)*.
% 0.46/1.14  91[1:Spt:89.0] ||  -> equal(skc5,0)**.
% 0.46/1.14  95[1:Rew:91.0,85.1] ||  -> in(skc8,remove(skc7,skc6))* equal(plus(skc7,0),skc8).
% 0.46/1.14  99(e)[1:Rew:28.0,95.1] ||  -> in(skc8,remove(skc7,skc6))* equal(skc8,skc7).
% 0.46/1.14  102[2:Spt:99.1] ||  -> equal(skc8,skc7)**.
% 0.46/1.14  103[2:Rew:102.0,54.0] ||  -> lesseq(skc7,0)*.
% 0.46/1.14  108(e)[2:OCE:103.0,66.0] ||  -> .
% 0.46/1.14  111[2:Spt:108.0,99.1,102.0] || equal(skc8,skc7)** -> .
% 0.46/1.14  112[2:Spt:108.0,99.0] ||  -> in(skc8,remove(skc7,skc6))*.
% 0.46/1.14  117[2:Res:112.0,59.0] ||  -> in(skc8,skc6)*.
% 0.46/1.14  119[2:Res:117.0,55.0] ||  -> less(0,skc8)*.
% 0.46/1.14  122(e)[2:OCE:119.0,54.0] ||  -> .
% 0.46/1.14  125[1:Spt:122.0,89.0,91.0] || equal(skc5,0)** -> .
% 0.46/1.14  126[1:Spt:122.0,89.1] ||  -> less(0,skc5)*.
% 0.46/1.14  131[2:Spt:85.1] ||  -> equal(plus(skc7,skc5),skc8)**.
% 0.46/1.14  134[2:SpR:131.0,35.1] ||  -> lesseq(skc5,U) less(plus(skc7,U),skc8)*.
% 0.46/1.14  188(e)[2:SpR:28.0,134.1] ||  -> lesseq(skc5,0) less(skc7,skc8)*.
% 0.46/1.14  195[3:Spt:188.0] ||  -> lesseq(skc5,0)*.
% 0.46/1.14  196(e)[3:OCE:195.0,126.0] ||  -> .
% 0.46/1.14  201[3:Spt:196.0,188.0,195.0] || lesseq(skc5,0)* -> .
% 0.46/1.14  202[3:Spt:196.0,188.1] ||  -> less(skc7,skc8)*.
% 0.46/1.14  206[3:OCh:202.0,54.0] ||  -> less(skc7,0)*.
% 0.46/1.14  207(e)[3:OCE:206.0,66.0] ||  -> .
% 0.46/1.14  210(e)[2:Spt:207.0,85.1,131.0] || equal(plus(skc7,skc5),skc8)** -> .
% 0.46/1.14  211[2:Spt:207.0,85.0] ||  -> in(skc8,remove(skc7,skc6))*.
% 0.46/1.14  212[2:Res:211.0,59.0] ||  -> in(skc8,skc6)*.
% 0.46/1.14  213[2:Res:212.0,55.0] ||  -> less(0,skc8)*.
% 0.46/1.14  216(e)[2:OCE:213.0,54.0] ||  -> .
% 0.46/1.14  
% 0.46/1.14  % SZS output end CNFRefutation for /tmp/SPASST_25812_n021.cluster.edu
% 0.46/1.14  
% 0.46/1.14  Formulae used in the proof : fof_collection_type fof_co1 fof_ax1 fof_add_type fof_ax3 fof_ax5
% 0.46/1.16  
% 0.46/1.16  SPASS+T ended
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