TSTP Solution File: DAT105_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : DAT105_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n019.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 01:32:15 EDT 2022

% Result   : Theorem 0.75s 1.04s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : DAT105_1 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.12  % Command  : spasst-tptp-script %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jul  1 20:17:38 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.46  % Using integer theory
% 0.75/1.04  
% 0.75/1.04  
% 0.75/1.04  % SZS status Theorem for /tmp/SPASST_16310_n019.cluster.edu
% 0.75/1.04  
% 0.75/1.04  SPASS V 2.2.22  in combination with yices.
% 0.75/1.04  SPASS beiseite: Proof found by SPASS.
% 0.75/1.04  Problem: /tmp/SPASST_16310_n019.cluster.edu 
% 0.75/1.04  SPASS derived 209 clauses, backtracked 0 clauses and kept 132 clauses.
% 0.75/1.04  SPASS backtracked 1 times (0 times due to theory inconsistency).
% 0.75/1.04  SPASS allocated 6534 KBytes.
% 0.75/1.04  SPASS spent	0:00:00.05 on the problem.
% 0.75/1.04  		0:00:00.00 for the input.
% 0.75/1.04  		0:00:00.01 for the FLOTTER CNF translation.
% 0.75/1.04  		0:00:00.00 for inferences.
% 0.75/1.04  		0:00:00.00 for the backtracking.
% 0.75/1.04  		0:00:00.02 for the reduction.
% 0.75/1.04  		0:00:00.01 for interacting with the SMT procedure.
% 0.75/1.04  		
% 0.75/1.04  
% 0.75/1.04  % SZS output start CNFRefutation for /tmp/SPASST_16310_n019.cluster.edu
% 0.75/1.04  
% 0.75/1.04  % Here is a proof with depth 7, length 27 :
% 0.75/1.04  2[0:Inp] ||  -> list(nil)*.
% 0.75/1.04  7[0:Inp] || list(U) -> list(cons(V,U))*.
% 0.75/1.04  8[0:Inp] || list(U) equal(cons(V,U),nil)** -> .
% 0.75/1.04  10[0:Inp] || list(U) -> equal(head(cons(V,U)),V)**.
% 0.75/1.04  11[0:Inp] || list(U) equal(U,nil) -> inRange(V,U)*.
% 0.75/1.04  15[0:Inp] || list(U) inRange(V,U) -> equal(U,nil) greatereq(minus(V,head(U)),2)*.
% 0.75/1.04  17[0:Inp] || list(U) list(V) inRange(W,V)* less(X,W)* lesseq(0,X) equal(U,cons(X,V))* -> inRange(W,U)*.
% 0.75/1.04  22[0:ThA] ||  -> equal(plus(plus(U,V),uminus(V)),U)**.
% 0.75/1.04  25[0:ThA] ||  -> equal(plus(U,0),U)**.
% 0.75/1.04  29[0:ThA] ||  -> less(plus(U,-1),U)*.
% 0.75/1.04  49[0:ArS:15.3] || list(U) inRange(V,U) -> equal(U,nil) lesseq(2,plus(V,uminus(head(U))))*.
% 0.75/1.04  50[0:TOC:17.4] || list(U) list(V) inRange(W,U)* equal(V,cons(X,U))*+ -> inRange(W,V)* lesseq(W,X)* less(X,0).
% 0.75/1.04  91[0:SpR:22.0,49.3] || list(U) inRange(plus(V,head(U)),U)* -> equal(U,nil) lesseq(2,V).
% 0.75/1.04  109[0:SpL:10.1,91.1] || list(U) list(cons(V,U)) inRange(plus(W,V),cons(V,U))* -> equal(cons(V,U),nil) lesseq(2,W).
% 0.75/1.04  117[0:MRR:109.1,109.3,7.1,8.1] || list(U) inRange(plus(V,W),cons(W,U))* -> lesseq(2,V).
% 0.75/1.04  139[0:SpL:25.0,117.1] || list(U) inRange(V,cons(0,U))* -> lesseq(2,V).
% 0.75/1.04  178[0:EqR:50.3] || list(U) list(cons(V,U)) inRange(W,U) -> inRange(W,cons(V,U))* lesseq(W,V) less(V,0).
% 0.75/1.04  180[0:MRR:178.1,7.1] || list(U) inRange(V,U) -> inRange(V,cons(W,U))* lesseq(V,W) less(W,0).
% 0.75/1.04  271[0:Res:180.2,139.1] || list(U) inRange(V,U)* list(U) -> lesseq(V,0) less(0,0) lesseq(2,V)*.
% 0.75/1.04  288[0:ArS:271.4] || list(U) inRange(V,U)* list(U) -> lesseq(V,0) lesseq(2,V)*.
% 0.75/1.04  289[0:Obv:288.0] || inRange(U,V)*+ list(V) -> lesseq(U,0) lesseq(2,U)*.
% 0.75/1.04  346[0:Res:11.2,289.0] || list(U)* equal(U,nil) list(U)* -> lesseq(V,0) lesseq(2,V)*.
% 0.75/1.04  349[0:Obv:346.0] || equal(U,nil)+ list(U)* -> lesseq(V,0) lesseq(2,V)*.
% 0.75/1.04  351[0:EqR:349.0] || list(nil)* -> lesseq(U,0) lesseq(2,U)*.
% 0.75/1.04  352[0:MRR:351.0,2.0] ||  -> lesseq(U,0) lesseq(2,U)*.
% 0.75/1.04  360[0:OCE:352.1,29.0] ||  -> lesseq(plus(2,-1),0)*.
% 0.75/1.04  364(e)[0:ArS:360.0] ||  -> .
% 0.75/1.04  
% 0.75/1.04  % SZS output end CNFRefutation for /tmp/SPASST_16310_n019.cluster.edu
% 0.75/1.04  
% 0.75/1.04  Formulae used in the proof : fof_head_type fof_tail_type fof_cons_type fof_l2 fof_l1 fof_inRange fof_nil_type
% 0.75/1.06  
% 0.75/1.07  SPASS+T ended
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